jA<^7^nqarrfy    Oep^^^T^^nfl 


Digitized  by  the  Internet  Archive 

in  2008  with  funding  from 

IVIicrosoft  Corporation 


http://www.archive.org/details/azimuthsofsunforOOunitrich 


No.  120 


Azimuths  of  Celestial  Bodies 

Whose  declinations  range  from  24  to  70  degrees 

for  latitudes  extending  to  70  degrees 

from  the  equator 


FOURTH    EDITION 


Published  by  the  Hydrographic  Office  under  the 
authority  of  the  Secretary  of  the  Navy 


WASHINGTON 

GOVERNMENT  PRINTING  OFHCE 

1916 


Affranamy      d^ptT 


U-47 

A5tr«n.0«»t. 


PREFACE. 


This  work  was  undei"taken  on  account  of  the  value  of  star  observations  in  determining 
azimuths,  and  the  growing  necessity  of  frequent  observations  for  azimuth  and  for  position  in 
high-speed  ships. 

It  was  prepared  in  the  H3'^drographic  Office  in  1902  and  reprinted  in  1907  as  a  second 
edition.     The  present  issue  is  a  reprint  of  the  second  edition. 

Taken  together  with  the  solar  azimuth  tables  of  the  Hydrographic  Office,  which  give  the 
true  bearings  of  the  sun  and  other  celestial  bodies  within  ecliptic  limits,  the  present  tables  supply 
the  navigator  with  ready  means  for  finding  the  azimuths  of  the  great  majority  of  bodies  appear- 
ing in  the  firmament  and  for  applying,  over  a  vastly  increased  extent,  the  other  useful  objects  of 
azimuth  tables,  such  as  finding  the  true  course  in  great-circle  sailing  and  laying  down  the 
Sumner  line  of  position. 

United  States  Hydrographic  Office, 

March  15^  1912. 
(3) 


OU£?'rf'9  J 


NOTE  TO  FOURTH  EDITION. 


HYDROGRAPHIC  OFFICE, 

Bureau  of  Navigation,  Navy  Department, 

Washington,  D.  C,  May  6,  1916. 
This  edition  is  reprinted  from  the  original  plates  without  change  in  the  tables,  no  errors 
therein  having  been  reported  since  the  issue  of  the  first  edition  in  1902. 


(4) 


AZIMUTH  OR  TRUE  BEARING. 


IjATITUDE  o°. 

DECI,INATION- 

-SAME  NAME  AS— IvATITUDE. 

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gle. 

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In  \orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  Bast;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
SuoD'ement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


Azimuth  or  true  bearing. 


liATITVBE:  0°. 

DECUNATION- 

SAME  NAME  AS— LATITUDE. 

latitude:  0°. 

Hour  An 

gle. 

36° 

37° 

38° 

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40° 

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I 

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44° 

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46° 

47° 

Honr  Angle. 

h. 

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47  14 

46  14 

45  13 

44  13 

43  14 

42  13 

41  14 

40 

50 

52  42 

51  41 

50  41 

49  40 

4839 

47  39 

46  39 

4538 

44  39 

43  38 

42  39 

41  39 

50 

5 

OO 

53  03 

52  03 

51  02 

50  02 

49  01 

48  01 

47  01 

46  01 

45  01 

44  00 

43  00 

42  01 

5     00 

lO 

53  21 

52  20 

51  20 

50  19 

49  19 

48  19 

47  20 

46  18 

45  18 

44  19 

43  18 

42  19 

10 

20 

53  35 

52  35 

51  35 

50  34 

49  34 

48  34 

47  34 

46  34 

45  33 

44  34 

43  34 

42  33 

20 

30 

53  46 

52  46 

51  46 

50  46 

49  46 

48  46 

47  46 

46  46 

45  45 

44  44 

43  45 

42  46 

30 

40 

53  54 

52  54 

51  54 

50  53 

49  53 

4853 

47  54 

46  53 

45  54 

44  54 

43  54 

42  53 

40 

50 

5358 

52  59 

51  59 

50  58 

4958 

48  59 

47  59 

46  58 

4558 

44  58 

4358 

42  58 

50 

6 

OO 

54  00 

53  00 

52  00 

51  00 

50  00 

49  00 
48  59 

48  CO 

47  00 

46  00 

45  00 

44  00 

43  00 

6     00 

lO 

53  58 

52  59 

51  59 

50  58 

49  58 

47  59 

4658 

4558 

44  58 

4358 

42  58 

10 

20 

53  54 

52  54 

51  54 

50  53 

49  53 

4853 

47  54 

46  53 

45  54 

44  54 

43  54 

42  53 

20 

30 

53  46 

52  46 

51  46 

50  46 

49  46 

48  46 

47  46 

46  46 

45  45 

44  44 

43  45 

42  46 

30 

40 

53  35 

52  35 

51  35 

50  34 

49  34 

48  34 

47  34 

46  34 

45  33 

44  34 

43  34 

42  33 

40 

50 

53  21 

52  20 

^  20 

50  19 

49  19 

48  19 

47  20 

46  18 

45  18 

44  19 

43  18 

42  19 

50 

7 

OO 

53  03 

52  03 

51  02 

50  02 

49  01 

48  01 

47  01 

46  01 

45  01 

44  00 

43  00 

42  01 

7     OQ 

lO 

52  42 

51  41 

50  41 

49  40 

48  39 

47  39 

46  39 

4538 

44  39 

4338 

42  39 

41  39 

10 

20 

52  17 

5>  17 

50  16 

49  14 

48  14 

47  14 

46  14 

45  13 

44  13 

43  14 

42  13 

41  14 

20 

30 

51 49 

50  48 

49  48 

48  46 

47  45 

46  45 

45  45 

44  45 

43  44 

42  44 

41  44 

40  45 

30 

40 

51  17 

50  16 

49  15 

48  13 

47  13 

46  12 

45  12 

44  II 

43  II 

42  II 

41  II 

40  12 

40 

50 

50  41 

49  39 

48  38 

47  36 

46  36 

45  35 

44  34 

43  34 

42  34 

41  34 

40  35 

39  36 

50 

a 

OO 

50  01 

4858 

47  57 

46  55 

45  54 

44  53 

43  53 

42  53 

41  53 

40  53 

39  54 

3856 

8     00 

lO 

49  15 

48  13 

47  12 

46  10 

45  08 

44  09 

43  09 

42  07 

41  08 

40  09 

39  09 

38  II 

10 

20 

48  26 

47  23 

46  21 

45  19 

44  18 

43  18 

42  18 

41  18 

40  18 

39  20 

38  20 

37  23 

20 

30 

47  31 

46  29 

45  27 

44  25 

43  23 

42  23 

41  24 

40  23 

3924 

38  25 

3728 

36  30 

30 
40 

40 

46  31 

45  29 

44  27 

43  24 

42  24 

41  24 

40  24 

39  25 

38  26 

37  27 

36  29 

35  32 

50 

45  25 

44  22 

43  21 

42  19 

41  18 

40  18 

39  19 

38  20 

37  22 

36  24 

35  27 

34  31 

50 

» 

OO 

44  13 

43  II 

42  09 

41  07 

40  07 

3908 

38  09 

37  10 

36  13 

35  16 

34  20 

33  26 

9     00 

lO 

42  55 

41  52 

40  51 

39  51 

3851 

37  52 

36  54 

35  55 

34  58 

34  02 

33  07 

32  12 

10 
20 
30 
40 
50 

20 

41 30 

40  28 

39  27 

38  26 

37  27 

36  29 

35  32 

34  34 

33  39 

32  45 

31  50 

30  56 

30 

39  57 

3856 

37  56 

3656 

35  57 

35  00 

34  05 

3308 

32  13 

31  20 

30  27 

29  35 

40 

38  17 

37  17 

36  17 

35  19 

34  21 

33  26 

32  30 

31  35 

30  42 

29  51 

28  59 

28  09 

50 

36  29 

35  30 

34  31 

33  33 

32  38 

31  43 

30  50 

29  57 

29  05 

28  15 

27  25 

26  37 

JO 

OO 

34  32 

33  35 

3238 

31  42 

30  48 

29  55 

29  03 

28  12 

27  22 

26  34 

25  47 

25  00 

10     00 
10 
20 
30 
40 
50 

lO 

32  26 

31  30 

30  35 

29  41 

28  50 

27  58 

27  09 

26  21 

25  33 

24  47 

24  01 

23  18 

20 

30  II 

29  18 

28  25 

27  34 

26  44 

25  56 

25  09 

24  23 

23  38 

22  55 

22  12 

21  31 

30 

27  47 

2656 

26  06 

25  17 

24  31 

23  46 

23  02 

22  19 

21  37 

20  56 

20  16 

1938 

40 

25  12 

24  24 

23  39 

22  54 

22  II 

21  29 

20  48 

20  09 

19  31 

18  53 

18  16 

17  41 

50 

22  29 

21  45 

21  03 

20  22 

19  43 

19  05 

18  28 

17  53 

17  17 

16  44 

16  II 

15  40 

11 

OO 

19  36 

1858 

18  20 

17  43 

17  08 

16  35 

16  02 

15  31 

15  00 

14  31 

14  02 

13  34 

11     00 

lO 

1636 

16  02 

15  29 

1458 

14  28 

13  59 

13  32 

13  04 

.  12  38 

12  13 

II  48 

II  24 

10 
20 

20 

13  26 

12  58 

12  32 

12  07 

II  42 

11  18 

10  56 

10  33 

10  12 

9  51 

9  31 

9  12 

30 

10  II 

9  50 

9  29 

9  09 

8  50 

833 

815 

7  58 

7  42 

7  27 

7  '0 

6  56 

30 

40 

50 

12     00 

40 

6  50 

636 

6  22 

6  09 

5  55 

5  44 

5  31 

5  20 

5  09 

4  59 

4  48 

4  39 

50 

3  27 

3  19 

3  12 

3  05 

2  59 

2  52 

2  46 

2  40 

236 

2  30 

2  25 

2  19 

12 

OO 

0  cx> 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

In  North  latitude,  when  rhe  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latltuile,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


AZIMUTH    OR    TRUE    BEARING. 


latbtujde:  o° 


DFXLINATION— SAME  NAME  AS— LATITUDE. 


liATITUDE  O". 


Hour  Angle. 


li. 


lO 


11 


12 


OO 
lO 
30 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

00 
10 

ao 

30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


48° 

49° 

0  ' 

0  ' 

0  00 

0  00  , 

2  15 

2  10 

4  29 

4  20  ■ 

6  42 

6  28  i 

853 

835  ! 

II  01 

10  40 

13  07 

12  41 

15  09 

14  39  ! 

17  07 

16  33  : 

19  00 

18  24  1 

20  50 

20  II  , 

22  34 

21  52 

24  15 

23  29 

25  49 

25  02  1 

27  19 

26  30 

28  43 

27  53 

30  04 

29  12 

31  '9 

30  25 

32  29 

31  35 

33  35 

32  40 

54  36 

33  40 

35  32 

34  36 

36  25 

35  27 

37  12 

36  15 

37  57 

3658 

38  37 

37  38  1 

39  13 

38  14 

39  45 

38  46 

40  14 

39  14 

40  39 

39  39 

41  01 

40  O) 

41  19 

40  20  ; 

41  34 

40  34  1 

41  45 

40  46 

41  53 

40  54 

41  58 

40  58 

42  00 

41  00 

41  58 

40  58 

41  53 

40  54 

41  45 

40  46  1 

41  34 

40  34 

41  19 

40  20 

41  01 

40  01 

40  39 

39  39 

40  14 

39  14 

39  45 

38  46 

39  «3 

38  14 

38  37 

3738 

37  57 

3658 

37  12 

36  15 

36  25 

35  27 

35  32 

34  36  i 

34  36 

33  40 

33  35 

32  40 

32  29 

31  35 

31  19 

30  25 

30  04 

29  12 

28  43 

27  53 

27  19 

26  30 

25  49 

25  02 

24  15 

23  29 

22  34 

21  52 

20  50 

20  II 

19  00 

18  24 

17  07 

16  33 

15  09 

14  39 

13  07 

12  41 

II  01 

10  40 

853 

835 

6  42 

6  28 

4  29 

4  20 

2  15 

2  10 

0  00 

0  00 

50° 


o  00 
2  06 
4  II 
6  15 
8  18 
10  18 

12  15 
14  10 

16  01 
1748 
19  32 

21  II 

22  46 

24  17 

25  42 

27  04 

28  21 

29  33 

30  41 

31  45 

32  44 

33  40 

34  30 

35  18 

36  01 

36  40 

37  15 
3748 

38  15 
3841 

39  02 
39  20 
39  34 
39  46 
39  54 

39  59 

40  00 
39  59 
39  54 
39  46 
39  34 
39  20 

39  02 
38  41 
38  15 
37  48 
37  15 
36  40 

36  01 
35  18 
34  30 
33  40 
32  44 
31  45 

30  41 
29  33 
28  21 
27  04 
25  42 
24  17 

22  46 
21  II 
19  32 

17  48 
16  01 
14  10 

12  15 
10  18 
8  18 
6  15 
4  II 
2  06 
o  00 


o  00 
2  01 
4  03 
6  02 

8  01 

9  57 

II  50 
13  41 
15  29 

17  13 

18  54 
2C  30 

22  03 

23  31 

24  55 

26  14 

27  30 

28  41 

29  47 

30  51 
3'  49 

32  43 

33  33 

34  20 

35  32 

35  41 

36  17 
3648 

37  16 

37  41 

38  02 

38  20 
3834 
3846 
3853 
3859 

39  00 
3859 
38  53 
3846 

3834 
38  20 

38  02 
37  41 
37  16 
3648 
36  17 
35  41 

35  02 
34  20 
33  33 
32  43 

31  49 
30  51 

29  47 

28  41 

27  30 
26  14 
24  55 
23  31 

22  03 
20  30 

1854 
•7  13 
15  29 
13  41 

ir  50 

9  57 
8  01 
6  02 

4  03 
2  01 
o  00 


52° 


0  00 

1  57 
3  54 
5  49 
7  43 
9  36 

II  26 

13  13 

14  58 
16  40 

18  17 

19  50 

21  20 

22  47 

24  09 

25  27 

26  40 

27  50 

28  56 

29  57 

30  54 

31  48 

32  37 

33  23 

34  06 

34  44 

35  18 

35  50 

36  18 

36  42 

37  03 
37  21 
37  35 
37  46 
37  54 

37  59 

38  00 
37  59 
37  54 
37  46 
37  35 
37  21 

37  03 
36  42 
36  18 
35  50 
35  18 
34  44 

34  06 
33  23 
32  37 
31  48 
30  54 
29  57 

28  56 
27  50 
26  40 
25  27 
24  09 
22  41 

21  20 

19  50 
18  17 
16  40 
1458 
13  13 

II  26 
9  36 
7  43 
5  49 
3  54 
I  57 
o  00 


53° 


0  00 

1  53 
3  45 
5  37 
7  27 
9  15 

11  03 

12  46 
14  28 

16  05 

17  41 

19  12 

20  39 

22  03 

23  23 

24  39 

25  51 

26  59 

28  03 

29  04 

30  00 

30  52 

31  41 

32  26 

33  08 

33  46 

34  20 

34  51 

35  18 

35  42 

36  03 
36  21 
36  35 
36  46 

36  54 
3658 

37  00 
3658 
36  54 
36  46 
36  35 
36  21 

36  03 
35  42 
35  18 
34  51 
34  20 
33  46 

33  08 
32  26 
31  41 
30  52 
30  00 
29  04 

28  03 
26  59 
25  51 
24  39 
23  33 
22  03 

20  39 
19  12 
17  41 
16  05 
14  28 
12  46 

II  03 
9  >5 
7  27 
5  37 
3  45 
I  53 
o  00 


54° 


0  00 

1  49 
3  38 
5  25 
7  12 
856 

10  39 

12  20 

13  57 
15  33 

17  04 

18  33 

19  59 

21  20 

22  38 

23  52 

25  03 

26  09 

27  12 

28  II 

29  06 

29  58 

30  46 

31  30 

32  II 

32  48 

33  22 

33  53 

34  20 

34  44 

35  04 
35  22 
35  35 
35  47 
35  54 

35  59 

36  00 
35  59 
35  54 
35  47 
35  35 
35  22 

35  04 
34  44 
34  20 
33  53 
33  22 
32  48 

32  II 
31  30 
30  46 
29  58 
29  06 
28  II 

27  12 
26  09 
25  03 
23  52 
22  38 
21  20 

19  59 
18  33 
17  04 
15  33 
13  57 
12  20 

10  39 
856 
7  12 
5  25 
338 
I  49 
o  00 


550 


56° 


57° 


0  00 

1  45 
3  30 

5  14 

6  56 
837 

10  16 

11  53 
13  28 

15  00 

16  29 

17  54 

19  17 

20  37 

21  53 

23  05 

24  14 

25  '9 

26  20 

27  18 

28  12 

29  03 

29  50 

30  34 

31  13 

31  51 

32  24 

32  54 

33  20 

33  44 

34  04 
34  21 
34  35 
34  46 
34  54 

34  59 

35  00 

34  59 
34  54 
34  46 
34  35 
34  21 

34  04 
33  44 
33  20 
32  54 
32  24 
31  5: 

31  13 
30  34 
29  50 
29  03 
28  12 
27  [8 

26  20 
25  19 
24  14 
23  05 
21  53 
20  37 

19  17 

17  54 
16  29 
15  00 
13  28 
II  53 

10  16 
837 
656 
5  14 
3  30 
I  45 
o  00 


0  00 

1  41 
3  22 

5  02 

6  41 

8  18 

9  54 
II  28 

13  00 

14  29 

15  55 

17  18 

18  38 

19  55 

21  09 

22  19 

23  27 

24  30 

25  30 

26  27 

27  19 

28  09 

28  56 

29  38 

30  17 

30  54 

31  26 

31  55 

32  22 

32  45 

33  05 
33  21 

33  35 
33  46 

33  54 
3358 

34  00 

3358 
33  54 
33  46 
33  35 
33  21 

33  05 
32  45 
32  22 

31  55 
31  26 
30  54 

30  17 
29  38 
28  56 
28  09 

27  19 
26  27 

25  30 

24  30 
23  27 
22  19 
21  09 
19  55 

1838 
17  18 

15  55 
14  29 
13  00 
II  28 

9  54 
8  18 
6  41 
5  02 
3  22 
I  41 
o  00 


0  (X) 

1  37 

3  15 

4  51 
6  26 

8  00 

9  33 

11  03 

12  31 

13  57 

15  21 

16  41 

17  59 

19  14 

20  25 

21  34 

22  39 

23  41 

24  39 

25  35 

26  26 

27  15 

28  01 

2843 

29  21 

29  57 

30  29 

30  57 

31  23 

31  47 

32  06 
32  22 

32  35 
32  46 
32  54 

32  58 

33  00 

32  58 
32  54 
32  46 
32  35 
32  22 

32  06 
31  47 
31  23 
30  57 
30  29 
29  57 

29  21 

28  43 
28  01 

27  15 
26  26 

25  35 

24  39 
23  41 
22  39 
21  34 
20  25 
19  14 

17  59 
16  41 

15  31 
13  57 
12  31 
II  03 

9  33 
8  00 
6  26 
4  51 
3  15 
I  37 
o  00 


58° 


59° 


0  00 

1  33 

3  07 

4  40 

6  II 
■  7  43 

9  12 
10  38 

12  04 

13  26 

14  48 

16  06 

17  21 
1833 

19  43 

20  50 

21  52 

22  53 

23  50 

24  44 

25  34 

26  22 

27  06 

27  47 

28  25 

28  59 

29  31 

29  59 

30  25 

30  47 

31  06 
31  23 
31  36 
31  46 
31  54 

31  58 

32  00 

31  58 
31  54 
31  46 
31  36 
31  23 

31  06 
30  47 
30  25 
29  59 
29  31 
2859 

28  25 
27  47 
27  06 
26  22 
25  34 
24  44 

23  50 
22  53 
21  52 
20  50 
19  43 
i«33 

17  21 
:6  06 
14  48 
13  26 
12  04 
10  38 

9  12 

7  43 
6  II 
4  40 
3  07 
I  33 
o  00 


0  00 

1  31 

3  00 

4  3«- 
558 

7  24 

8  50 

10  14 

11  35 

12  57 

14  15 

15  30 

16  44 

17  54 

19  01 

20  06 

21  07 

22  06 

23  02 

23  54 

24  43 

25  30 

26  12 

26  52 

27  30 

28  04 

2835 

29  03 
29  28 

29  49 

3c  08 

30  24 
30  37 
30  48 
30  55 

30  59 

31  00 
30  59 
30  55 
30  48 

30  57 
30  24 

30  08 

29  49 
29  28 

29  03 

28  35 
28  04 

27  30 
26  52 
26  12 
25  30 

24  45 

25  54 

23  02 
22  06 
21  07 
20  06 
19  01 
17  54 

16  44 
15  50 
14  15 
12  57 
II  35 
10  14 

8  50 
7  24 
558 
4  30 
3  00 
I  31 
o  00 


Hour  Ansle. 


10 


11 


12 


m. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  derlliiation  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  0 

0. 

DECLINATION— SAME  NAME  AS- 

-I,ATITITDE. 

LATITUDE  0°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Aiii:le. 

li.    111. 

0  / 

0  / 

0  ' 

0  ' 

0  ' 

0  > 

0  / 

0  r 

0  1 

0  ' 

0  1 

Ii.    m.  ' 

O     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

I  27 

I  23 

I  20 

I  16 

I  13 

I  10 

I  06 

I  03 

I  00 

0  57 

0  54 

10 

20 

2  52 

2  46 

2  39 

2  33 

2  26 

2  19 

2  14 

2  07 

2  01 

I  55 

I  49 

20 

30 

4  19 

4  08 

3  59 

3  48 

338 

3  29 

3  20 

3  10 

3  01 

2  52 

2  43 

30 

40 

5  43 

5  30 

5  16 

5  04 

4  50 

4  38 

4  25 

4  13 

4  00 

3  49 

3  37 

40 

50 

7  07 

6  50 

6  34 

6  18 

6  01 

5  46 

5  30 

5  15 

4  59 

4  45 

4  30 

50 

1    00 

8  30 

8  10 

7  51 

7  30 

7  12 

653 

6  35 

6  16 

5  59 

5  41 

5  23 

1     00 

10 

9  51 

9  28 

9  05 

8  43 

8  20 

7  59 

7  38 

7  16 

655 

635 

6  15 

10 

20 

II  10 

10  44 

10  18 

9  53 

9  28 

9  03 

839 

8  16 

7  52 

7  28 

7  06 

20 

30 

12  28 

II  59 

II  30 

11  02 

10  35 

10  07 

9  40 

9  14 

8  47 

8  22 

7  56 

30 

40 

13  42 

13  10 

12  40 

12  10 

11  39 

II  09 

10  39 

10  10 

9  42 

9  13 

8  45 

40 

50 

14  55 

14  21 

1348 

13  14 

12  41 

12  09 

II  37 

n  05 

10  34 

10  03 

9  33 

50 

2     00 

16  06 

15  30 

14  53 

14  17 

13  43 

13  08 

12  33 

II  58 

II  25 

10  52 

10  20 

2     00 

10 

17  14 

16  34 

15  57 

15  18 

14  41 

14  04 

13  27 

12  51 

12  15 

II  39 

11  04 

10 

20 

18  19 

1738 

16  57 

16  18 

15  37 

14  59 

14  20 

13  41 

13  03 

12  25 

II  48 

20 

30 

19  22 

1838 

1756 

17  14 

16  32 

15  51 

15  10 

14  29 

13  49 

13  09 

12  30 

30 

40 

20  22 

19  37 

18  53 

18  09 

17  24 

16  41 

1558 

15  15 

14  33 

13  52 

13  10 

40 

50 

21  18 

20  32 

19  46 

19  00 

18  15 

17  29 

16  45 

16  00 

15  16 

14  32 

13  49 

50 

3     00 

22  12 

21  24 

20  37 

19  49 

19  01 

18  15 

17  29 

16  42 

15  56 

15  12 

14  26 

3     00 

10 

23  04 

22  14 

21  25 

20  36 

19  46 

1858 

18  10 

17  23 

16  35 

15  48 

15  02 

10 

ao 

23  51 

23  c» 

22  10 

21  19 

20  29 

19  39 

18  50 

18  01 

17  II 

16  24 

•  15  35 

20 

30 

24  36 

23  44 

22  53 

22  01 

21  09 

20  18 

19  28 

18  36 

17  46 

16  57 

16  07 

30 

40 

25  18 

24  25 

23  33 

22  39 

21  47 

20  54 

20  02 

19  10 

18  19 

17  28 

16  36 

40 

50 

25  57 

25  03 

24  09 

23  15 

22  22 

21  28 

20  35 

19  41 

18  48 

17  56 

17  04 

50 

4     00 

26  34 

25  38 

24  44 

23  49 

22  54 

21  59 

21  05 

20  II 

19  17 

18  24 

17  29 

4     00 

10 

27  06 

26  II 

25  15 

24  19 

^3  24 

22  29 

21  33 

20  38 

19  43 

18  49 

17  54 

10 

20 

27  36 

26  40 

25  44 

24  47 

23  51 

22  55 

21  58 

21  02 

20  07 

19  II 

18  16 

20 

30 

28  04 

27  07 

26  II 

25  13 

24  15 

23  18 

22  22 

21*24 

20  28 

19  32 

1836 

30 

40 

28  28 

27  30 

26  33 

25  35 

24  37 

■  23  40 

22  42 

21  45 

20  47 

19  50 

1853 

40 

50 

28  50 

27  51 

26  54 

2555 

24  57 

23  59 

23  00 

22  02 

21  05 

20  07 

19  09 

50 

5     00 

29  08 

28  09 

27  12 

26  12 

25  14 

24  15 

23  17 

22  17 

21  19 

20  21 

19  22 

5     00 

10 

29  24 

28  25 

27  27 

26  27 

25  28 

24  29 

23  29 

22  30 

21  31 

20  33 

19  34 

10 

20 

29  37 

28  38 

27  39 

26  39 

25  39 

24  40 

23  41 

22  41 

21  41 

20  43 

19  43 

20 

30 

29  47 

28  48 

2748 

26  48 

25  49 

24  48 

23  49 

22  49 

21  50 

20  50 

19  51 

30 

40 

29  54 

28  54 

27  55 

26  55 

25  55 

24  55 

23  56 

22  56 

21  56 

20  56 

19  56 

40 

50 

2958 

28  58 

27  59 

2658 

25  59 

24  58 

23  59 

22  59 

21  59 

20  59 

19  59 

50 

6     00 

30  00 

29  00 

28  00 

27  00 

26  00 

25  00 

24  00 

23  00 

22  00 

21  00 

20  00 

6     00 

10 

2958 

28  58 

27  59 

26  58 

25  59 

24  58 

23  59 

22  59 

21  59 

20  59 

19  59 

10 

20 

29  54 

28  54 

27  55 

2655 

25  55 

24  55 

23  56 

22  56 

21  56 

20  56 

19  56 

30 

30 

29  47 

28  48 

27  48 

26  48 

25  49 

2448 

23  49 

22  49 

21  50 

20  50 

19  51 

30 

40 

29  37 

2838 

27  39 

26  39 

25  39 

24  40 

23  41 

22  41 

21  41 

20  43 

19  43 

40 

50 

29  24 

28  25 

27  27 

26  27 

25  28 

24  29 

23  29 

22  30 

21  31 

20  33 

19  34 

50 

7     00 

29  08 

28  09 

27  12 

26  12 

25  14 

24  15 

23  17 

22  17 

21  19 

20  21 

19  22 

7     00 

10 

28  50 

27  51 

26  54 

25  55 

24  57 

23  59 

23  00 

22  02 

21  05 

20  07 

19  09 

10 

20 

28  28 

27  30 

26  33 

25  35 

24  37 

23  40 

22  42 

21  45 

20  47 

19  50 

'^53 

20 

30 

28  04 

27  07 

26  II 

25  13 

24  15 

23  18 

22  22 

21  24 

20  28 

19  32 

18  36 

30 

40 

27  36 

26  40 

25  44 

24  47 

23  51 

22  55 

21  58 

21  02 

20  07 

19  II 

18  16 

40 

50 

27  06 

26  II 

25  15 

24  19' 

23  24 

22  29 

21  33 

20  38 

19  43 

18  49 

17  54 

50 

8     00 

26  34 

25  38 

24  44 

23  49 

22  54 

21  59 

21  05 

20  II 

19  17 

iS  24 

17  29 

8     00 

10 

25  57 

25  03 

24  09 

23  15 

22  22 

21  28 

20  35 

19  41 

18  48 

17  56 

17  04 

10 

20 

25  i8 

24  25 

23  33 

22  39 

21  47 

20  54 

20  02 

19  10 

18  19 

17  28 

16  36 

20 

30 

24  36 

23  44 

22  53 

22  01 

21  09 

20  18 

19  28 

18  36 

17  46 

16  57 

16  07 

30 

40 

23  51 

23  00 

22  10 

21  19 

20  29 

19  39 

18  50 

18  01 

17  II 

16  24 

15  35 

40 

50 

23  04 

22  14 

21  25 

20  36 

19  46 

1858 

18  10 

17  23 

16  35 

15  48 

15  02 

50 

9     00 

22  12 

21  24 

20  37 

19  49 

19  01 

18  15 

17  29 

i5  42 

15  56 

15  12 

14  26 

9     00 

10 

21  18 

20  32 

19  46 

19  00 

18  15 

17  29 

16  45 

16  00 

15  16 

14  32 

13  49 

10 

20 

20  22 

19  37 

18  53 

IS  09 

17  24 

16  41 

1558 

15  15 

14  33 

13  52 

13  1° 

20 

30 

19  22 

1838 

17  56 

17  14 

16  32 

15  51 

15  10 

14  29 

13  49 

13  09 

12  30 

30 

40 

18  19 

1738 

16  57 

16  18 

15  37 

14  59 

14  20 

13  41 

13  03 

12  25 

11  48 

40 

50 

17  14 

16  34 

15  57 

15  18 

14  41 

14  04 

13  27 

12  51 

12  15 

II  39 

II  04 

50 

10     00 

16  06 

15  30 

14  53 

14  17 

13  43 

13  08 

12  33 

II  58 

II  25 

10  52 

10  20 

10   00 

10 

14  55 

14  21 

1348 

13  14 

12  41 

12  09 

II  37 

n  05 

10  34 

10  03 

9  33 

10 

20 

13  42 

13  10 

12  40 

12  10 

II  39 

11  09 

10  39 

10  10 

9  42 

9  13 

8  45 

20 

30 

12  28 

II  59 

II  30 

II  02 

10  35 

10  07 

9  40 

9  14 

8  47 

8  22 

7  56 

30 

40 

II  10 

10  44 

10  18 

9  53 

9  28 

9  03 

8  39 

8  16 

7  52 

7  28 

7  06 

40 

50 

9  51 

9  28 

9  05 

8  43 

8  20 

7  59 

738 

7  16 

655 

635 

6  15 

50 

11     00 

8  30 

8  10 

7  51 

7  30 

7  12 

653 

635 

6  16 

5  59 

5  41 

5  23 

11     00 

10 

7  07 

6  50 

6  34 

6  18 

6  01 

5  46 

5  30 

5  15 

4  59 

4  45 

4  30 

10 

20 

5  43 

5  30 

5  16 

5  04 

4  50 

4  38 

4  25 

4  13 

4  00 

3  49 

3  37 

20 

30 

4  19 

4  08 

3  59 

3  48 

338 

3  29 

3  20 

3  10 

3  01 

2  52 

2  43 

30 

40 

2  52 

2  46 

2  39 

2  33 

2  26 

2  19 

2  14 

2  07 

2  01 

I  55 

I  49 

40 

50 

I  27 

I  23 

I  20 

I  16 

I  13 

I  10 

I  06 

I  03 

I  00 

0  57 

0  54 

50 

12     00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latltnde,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  Istltude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  1 


DECI.INATION— SAME  NAME  AS— LATITUDE. 


I^ATlTUDE  1°. 


Hour  Ang;le. 


b. 

O 


12 


OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
SO 
30 
40 
50 

OO 
lO 

ao 

30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


24° 


O   00 

5  49 
II  31 
16  58 
22  06 
26  49 

31  08 

35  03 

38  34 

41  44 

44  33 
47  03 

49  18 

51  18 

53  05 

54  41 

56  06 

57  23 

58  31 

59  33 

60  28 

61  17 

62  01 

62  40 

63  15 

63  46 

64  13 
64  36 

64  57 

65  14 

65  29 
65  40 
65  49 

65  55 

66  00 
66  01 

66  00 
6556 
65  51 
65  43 
65  32 
65  18 

65  03 
64  43 
64  22 
63  57 
63  28 
62  56 

.  62  21 
61  40 

60  57 
60  08 
59  14 
58  13 

57  06 

55  52 
54  30 

52  59 
51  18 
49  27 

47  22 

45  04 

42  31 

39  41 

36  32 
33  04 


25= 


o  00 
5  33 
10  59 
16  12 
21  og 
25  43 

29  56 
33  46 

37  15 

40  22 

43  II 

45  41 

47  56 

49  57 
51  45 

53  23 

54  50 

56  08 

57-18 

58  21 

59  18 

60  08 

60  53 

61  33 

62  eg 

62  41 

63  09 
63  33 

63  54 

64  12 

64  27 

64  39 
64  49 

64  55 

64  59 

65  01 

65  00 
64  56 

64  51 
64  42 

64  31 
64  18 

64  01 

63  41 
63  19 
62  53 
62  24 
61  52 

61  16 
60  34 
59  50 
59  00 
58  04 

57  02 

55  55 
54  39 
53  16 
51  44 

50  02 

48  09 

46  06 

43  47 

41  14 

38  26 
35  20 
31  55 


29  16 

28  10 

25  06 

24  08 

20  36 

19  46 

15  46 

15  06 

10  40 

10  13 

5  24 

5  09 

0  00 

0  00 

26° 


o  00 
5  18 
10  30 
15  30 
20  16 
24  42 

28  48 
32  34 
35  58 

39  04 

41  51 
44  21 

46  37 
48  39 
50  28 

52  07 

53  35 

54  54 

56  06 

57  10 
5807 
5858 

59  45 

60  27 

61  03 

61  37 

62  04 
62  30 

62  52 

63  10 

63  25 
6338 
6348 
63  55 

63  59 

64  01 

64  00 
6356 
63  51 
63  42 
63  31 
63  17 

63  00 
62  40 
62  17 
61  51 
61  22 
60  48 

60  II 
59  29 

5843 
57  52 
5656 

55  52 

54  44 
53  28 
52  04 
50  31 
48  48 
46  55 

44  51 

42  33 

40  00 
37  14 
34  09 
30  48 

27  09 
23  13 
1859 
14  30 
948 
4  56 
o  00 


27° 


o  00 

5  04 
10  03 

14  51 
19  26 
23  44 

27  43 

31  24 

34  45 

37  48 

40  34 
43  04 

45  20 
47  22 
'49  " 
50  51 

52  20 

53  41 

54  54 

55  59 
5658 

57  50 
5838 

59  21 

5958 

60  32 

61  01 
61  27 

61  49 

62  08 

62  24 
62  37 
62  47 
62  55 

62  59 

63  01 

63  00 
62  56 
62  50 
62  41 
62  30 
62  16 

61  59 
61  38 
61  15 
60  49 
60  18 
59  44 

59  06 

58  24 
57  37 

56  45 
5548 
54  44 

53  34 
52  17 
50  52 
49  19 

46  36 
45  42 

43  38 

41  20 

38  49 
36  04 
33  03 
29  45 

26  II 
22  21 
18  15 
13  55 
9  23 
4  43 
o  00 


28= 


o  00 
4  51 
9  37 
14  14 
18  40 
22  49 

26  42 

30  17 

33  34 

36  35 

39  20 

41  49 

44  04 

46  06 

47  57 
49  37 

51  07 

52  29 

53  42 

54  49 
5548 

56  42 

57  31 

58  13 

5853 

59  27 

59  57 

60  23 
.60  47 

61  07 

61  22 

61  36 
61  47 
61  54 

61  58 

62  01 

62  00 
61  57 
61  50 
61  41 
61  30 
61  16 

6058 
60  37 
60  13 
59  46 
59  15 
58  40 

58  02 
57  19 
56  32 

55  39 
54  41 
53  37 

52  26 
51  08 
49  43 

48  08 
46  24 
44  31 

42  27 

40  09 

37  40 

34  56 

31  58 
28  44 

25  i6 
21  31 
17  34 
13  23 
9  01 

4  33 

O  CO 


29° 


o  00 

4  39 
9  13 
13  40 
17  55 
21  57 

25  42 

29  13 

32  26 

35  25 

38  08 

40  36 

42  51 

44  52 
46  44 

48  25 

49  55 

51  18 

52  32 

53  39 

54  40 

55  34 

56  24 

57  08 

5748 

58  22 
5853 

59  21 

59  44 

60  04 

60  21 
60  35 
60  46 
60  54 

60  59 

61  01 

61  00 
60  57 
60  50 
60  42 
60  30 
60  15 

59  57 
59  36 
59  12 

58  44 
58  13 

57  37 

5658 
56  14 
55  26 
54  33 
53  34 
52  30 

51  18 
49  59 
48  33 
4658 

45  15 

43  21 

41  18 

39  02 

36  33 

33  52 

30  56 
27  46 

24  23 
20  45 
16  54 
12  52 
8  40 
4  22 
o  00 


30° 

31° 

32° 

33° 

34° 

0  ' 

0  ' 

0  ' 

0  / 

0  / 

0  00 

0  00 

0  00 

0  00 

0  00 

4  27 

4  17 

4  07 

3  57 

3  47 

851 

8  29 

8  10 

7  51 

7  33 

13  07 

12  37 

12  08 

II  40 

II  14 

17  14 

16  34 

15  57 

15  22 

14  48 

21  07 

20  21 

19  36 

18  54 

18  14 

24.47 

23  54 

23  04 

22  15 

21  29 

28  12 

27  14 

26  18 

25  25 

24  34 

31  23 

30  20 

29  21 

28  23 

27  28 

34  17 

33  12 

32  10 

31  09 

30  II 

3658 

35  51 

34  46 

.33  43 

32  41 

39  25 

38  16 

37  10 

36  05 

35  02 

41  39 

40  30 

39  21 

38  15 

37  II 

43  41 

42  31 

41  22 

40  15 

39  10 

45  32 

44  22 

43  12 

42  05 

40  59 

47  13 

46  03 

44  54 

43  46 

42  40 

48  45 

47  34 

46  26 

45  19 

44  12 

50  07 

4858 

47  50 

46  42 

45  36 

51  23 

50  14 

49  06 

47  59 

46  53 

52  30 

51  23 

50  16 

49  10 

48  04 

53  32 

52  25 

51  18 

50  13 

49  07 

54  28 

53  22 

52  16 

51  10 

50  05 

55  18 

54  12 

53  07 

52  02 

50  58 

56  02 

54  57 

53  53 

52  49 

51  45 

56  43 

55  39 

54  35 

53  30 

52  27 

57  18 

56  15 

55  12 

54  08 

53  05 

57  51 

56  47 

55  44 

54  42 

53  39 

58  18 

57  15 

56  13 

55  II 

54  09 

58  42 

57  40 

5638 

55  37 

54  35 

59  02 

58  01 

56  59 

55  58 

54  57 

59  20 

58  19 

57  17 

56  17 

55  15 

59  34 

58  33 

57  33 

56  32 

55  31 

59  46 

58  44 

57  44 

56  44 

55  43 

59  53 

58  53 

57  52 

56  52 

55  52 

5958 

58  59 

57  58 

5658 

5558 

60  01 

59  00 

58  01 

57  01 

56  00 

60  00 

59  0° 

58  00 

57  00 

56  00 

59  57 

58  57 

57  57 

56  57 

55  57 

59  50 

5850 

57  50 

56  50 

55  50 

59  42 

58  42 

57  42 

5^  41 

55  41 

59  29 

58  29 

57  29 

56  28 

55  28 

59  14 

58  14 

57  13 

56  14 

55  12 

5856 

57  56 

56  55 

55  55 

54  54 

5835 

57  34 

56  33 

55  32 

54  32 

58  10 

57  09 

56  07 

55  06 

54  05 

57  42 

56  41 

55  39 

54  37 

53  36 

57  10 

56  08 

55  06 

54  05 

53  02 

56  34 

55  32 

54  30 

53  28 

52  25 

55  55 

54  52 

53  49 

52  46 

51  44 

55  II 

54  07 

53  04 

52  01 

5058 

54  22 

53  17 

52  14 

51  10 

50  07 

53  28 

52  23 

51  18 

50  15 

49  12 

52  28 

51  23 

60   19 

49  14 

48  II 

51  23 

50  17 

49  II 

48  07 

47  03 

50  10 

49  04 

47  59 

46  54 

45  50 

48  52 

47  45 

46  40 

45  34 

44  31 

47  25 

46  18 

45  12 

44  08 

43  04 

45  51 

44  44 

43  38 

42  33 

41  30 

44  07 

43  00 

41  55 

40  50 

39  47 

42  13 

41  07 

39  02 

38  59 

37  56 

40  10 

39  04 

38  01 

3658 

35  57 

37  55 

36  51 

3548 

34  47 

3348 

35  28 

34  24 

33  25 

32  26 

31  29 

32  49 

31  49 

30  51 

29  54 

29  00 

29  57 

29  00 

28  05 

27  II 

26  21 

26  52 

2558 

25  07 

24  18 

23  32 

23  32 

22  44 

21  58 

21  14 

20  31 

20  00 

19  19 

18  38 

18  00 

17  23 

16  17 

15  42 

15  08 

14  3^ 

14  05 

12  22 

II  55 

II  29 

II  05 

10  40 

8  20 

8  01 

7  44 

7  27 

7  II 

4  12 

4  02 

3  53 

3  44 

3  37 

0  00 

0  00 

0  00 

0  00 

0  00 

35° 


o  00 
3  39 
7  17 
10  49 
14  16 
17  35 

20  45 
23  45 
26  34 

29  14 

31  42 
34  00 

36  08 

38  06 

39  55 

41  34 

43  06 

44  30 

45  48 
4658 

48  02 

49  01 

49  53 

50  41 

51  24 

52  02 

52  37 

53  07 
53  33 

53  55 

54  14 
54  31 
54  43 
54  52 

54  57 

55  01 

55  00 
54  57 
54  51 
54  41 
54  28 
54  12 

53  54 
53  31 
53  05 
52  36 
52  01 
51  24 

50  42 
49  56 
49  04 
48  09 
47  08 

46  01 

44  47 
43  27 

42  01 

40  28 
3846 
36  56 

34  57 

32  50 

30  33 
28  07 
25  31 
22  45 

19  51 
16  47 

13  37 
10  19 
6  56 
3  29 
o  00 


Hour  Angle. 


b. 

O 


10 


11 


12 


ni. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


10 


AZIMUTH  OR  TRUE   BEARING. 


1.ATITUDK  1°. 

DECUNATION- 

-SAME  NAME  AS— I.ATITUDE. 

latitude:  1°. 

Hour 

Aiijifle. 

36° 

37° 

38° 

3»° 

[ 

j  40° 

41° 

42° 

43° 

44° 

45" 

46° 

470 

Hour  Angle. 

li. 

lU. 

o  / 

0  ' 

0  / 

1   °  ' 

1   °  ' 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  t 

li.    ni. 

O 

OO 

0  oo 

0  00 

0  00 

0  00 

}   0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

3  31 

3  23 

3  17 

3  09 

3  02 

256 

2  50 

2  44 

238 

2  32 

2  28 

2  22 

10 

20 

7  oo 

646 

6  30 

1   6  17 

1   6  03 

1   §  51 

538 

5  27 

5  15 

5  04 

4  53 

4  44 

20 

30 

lo  26 

10  03 

9  42 

9  22 

1   9  01 

8  43 

8  25 

8  08 

7  50 

7  34 

7  19 

7  03 

30 

40 

13  46 

13  16 

12  48 

12  22 

i  "  56 

II  31 

II  07 

10  45 

10  22 

10  01 

9  4' 

9  21 

40 

50 

16  58 

16  23 

15  49 

15  17 

14  45 

14  15 

13  47 

13  i8 

12  51 

12  25 

12  00 

II  36 

50 

1 

OO 

20  03 

19  21 

18  42 

18  04 

17  28 

1654 

16  20 

15  48 

15  15 

14  44 

14  16 

13  46 

1    00 

10 

22  58 

22  12 

21  28 

20  47 

1  20  06 

19  25 

18  48 

18  II 

17  35 

17  00 

16  27 

15  54 

10 

20 

25  44 

24  54 

24  05 

23  20 

22  34 

21  51 

21  09 

20  28 

19  49 

19  10 

18  33 

17  57 

20 

30 

28  19 

27  26 

25  35 

25  45 

24  56  1  24  10 

23  24 

22  40 

21  57 

21  15 

^  20  35 

30 

40 

30  45 

29  49 

28  54 

28  02 

27  11 

26  21 

25  32 

24  46 

23  59 

23  15 

22  31 

21  48 

40 

50* 

33  oi 

32  02 

31  06 

30  10 

29  16 

2824 

27  34 

26  44 

25  55 

25  08 

24  21 

23  36 

50 

a 

OO 

35  06 

34  07 

33  oS 

32  11 

31  16 

30  21 

29  28 

28  36 

27  45 

26  55 

26  07 

25  19 

2     00 

lO 

37  04 

36  02 

35  02 

34  04 

33  06 

32  09 

31  15 

30  21 

29  28 

28  36 

1  27  46 

26  56 

10 

20 

38  51 

3748 

36  47 

3548 

34  49 

33  52 

32  55 

31  59 

31  05 

30  12 

1  29  20 

28  28 

20 

30 

40  30 

39  27 

38  25 

37  25 

36  26 

35  26 

34  29 

33  33 

32  36 

31  42 

30  48 

29  54 

30 

40 

42  03 

40  59 

39  56 

38  55 

37  54 

36  55 

35  57 

34  58 

34  01 

33  05 

32  10 

31  16 

40 

50 

43  27 

42  22 

41  19 

40  18 

39  17 

38-16 

37  17 

36  19 

35  21 

34  24 

33  27 

32  31 

50 

3 

OO 

44  43 

43  40 

42  36 

41  34 

40  32 

39  31 

3832 

37  33 

36  34 

35  36 

34  39 

33  43 

3     00 

lO 

45  54 

44  50 

43  47 

42  44 

41  43 

40  41 

39  42 

3842 

37  43 

36  44 

35  46 

34  49 

10 

20 

4658 

45  55 

44  51 

43  48 

42  47 

41  46 

40  46 

39  45 

38  46 

37  46 

3648 

35  49 

20 

30 

47  57 

46  53 

45  50 

44  48 

43  46 

42  45 

41  44 

40  43 

39  43 

38  44 

37  45 

36  46 

30 

40 

48  50 

47  47 

46  44 

45  42 

44  39 

43  38 

42  37 

41  37 

40  36 

39  37 

38  37 

37  38 

40 

50 

49  38 

4835 

47  32 

46  30 

45  29 

44  27 

43  26 

42  25 

41  25 

40  25 

39  26 

38  26 

50 

4 

OO 

50  22 

49  18 

48  16 

47  14 

46  13 

45  11 

44  10 

43  10 

42  09 

41  09 

40  08 

39  09 

4     00 

10 

51  00 

4958 

4856 

47  54 

46  53 

45  51 

44  50 

43  50 

42  49 

41  48 

40  48 

39  »8 

10 

20 

51  35 

50  33 

49  31 

48  29 

47  28 

46  27 

45  26 

44  26 

43  24 

42  24 

41  24 

40  24 

20 

30 

52  05 

51  03 

50  02 

48  59 

47  59 

46  58 

4558 

44  57 

43  56 

42  55 

41  56 

40  55 

30 

40 

52  31 

51  30 

50  28 

49  27 

48  26 

47  26 

46  25 

45  24 

44  24 

43  24 

42  23 

41  24 

40 

50 

5?  54 

51  53 

50  52 

49  52 

48  51 

47  50 

46  50 

45  48 

44  48 

43  48 

42  47 

41  47 

50 

5 

OO 

53  14 

52  13 

51  12 

50  II 

49  10 

48  10 

47  09 

46  09 

45  09 

44  09 

43  08 

42  08 

5     00 

lO 

53  30 

52  29 

51  29 

50  28 

49  27 

48  27 

47  27 

46  26 

45  26 

44  2b 

43  26 

42  25 

10 

20 

53  42 

52  42 

51  41 

50  41 

49  40 

48  40 

47  39 

46  40 

45  40 

44  39 

43  38 

42  38 

20 

30 

53  52 

52  51 

51  51 

50  51 

49  50 

48  5> 

47  50 

46  50 

45  50 

44  49 

43  49 

42  49 

30 

40 

5358 

52  57 

51  57 

5058 

49  57 

4857 

47  56 

46  57 

45  57 

44  56 

43  56 

42  56 

40 

50 

54  00 

53  01 

52  00 

51  00 

50  00 

49  00 

48  00 

47  00 

46  00 

45  00 

44  00 

42  59 

50 

6 

OO 

54  01 

53  00 

52  01 

51  01 

50  00 

49  01 

48  01 

47  00 

46  01 

45  00 

44  00 

43  00 

«     00 

lO 

53  57 

52  57 

51  57 

50  57 

49  57 

48  58 

47  57 

46  57 

45  57 

44  57 

43  58 

42  57 

10 

20 

53  51 

52  51 

51  50 

50  51 

49  51 

48  50 

47  51 

46  51 

45  51 

44  51 

43  51 

42  51 

20 

30 

53  41 

52  41 

51  41 

50  41 

49  41 

48  41 

47  41 

46  42 

45  42 

44  41 

43  42 

42  42 

30 

40 

53  28 

52  28 

51  29 

50  28 

49  28 

48  29 

47  28 

46  29 

4528 

44  29 

43  29 

42  29 

40 

50 

53  12 

52  12 

51  12 

50  12 

49  J2 

48  12 

47  12 

46  12 

45  12 

44  13 

43  13 

42  13 

50 

7 

OO 

52  52 

51  53 

50  53 

49  53 

4852 

47  53 

46  52 

45  53 

44  53 

43  53 

42  54 

41  54 

7     00 

lO 

52  31 

51  30 

50  29 

49  29 

48  29 

47  29 

46  29 

45  30 

44  30 

43  30 

42  30 

41  30 

10 

20 

52  04 

51  04 

50  03 

49  03 

48  02 

47  03 

46  02 

45  03 

44  03 

43  03 

42  04 

41  05 

20 

30 

51  34 

50  34 

49  32 

48  32 

47  31 

46  32 

45  32 

44  32 

43  32 

42  33 

41  33 

40  34 

30 

40 

50  59 

49  59 

48  59 

4758 

4658 

45  58 

4458 

43  58 

42  59 

41  59 

41  00 

40  00 

40 

50 

50  23 

49  21 

48  20 

47  20 

46  19 

45  19 

44  19 

43  20 

42  21 

41  20 

40  22 

39  23 

50 

8 

OO 

49  41 

48  39 

47  38 

46  37 

45  36 

44  37 

43  37 

42  37 

41  38 

40  39 

39  40 

38  41 

8     00 

lO 

48  54 

47  52 

46  51 

45  50 

44  50 

43  50 

42  50 

41  51 

40  52 

39  53 

38  55 

37  57 

10 

20 

48  03 

47  01 

46  00 

45  00 

43  58 

42  59 

41  59 

41  00 

40  02 

39  03 

3805 

37  08 

20 

30 

47  07 

46  04 

45  03 

44  02 

43  02 

42  02 

41  03 

40  05 

39  07 

38 '08 

37  10 

36  13 

30 

40 

46  05 

45  03 

44  02 

43  ot 

42  01 

41  02 

40  03 

39  04 

38  07 

37  09 

36  12 

35  16 

40 

50 

44  57 

43  56 

42  55 

41  55 

40  55 

39  56 

38  57 

37  59 

37  02 

36  05 

35  09 

34  13 

50 

» 

OO 

43  44 

42  43 

41  43 

40  42 

39  42 

38  44 

37  46 

"  36  49 

35  52 

34  56 

34  01 

33  06 

9     00 

lO 

42  25 

41  24 

40  23 

3?  24 

38  25 

37  28 

36  29 

35  33 

34  38 

33  42 

32  48 

31  54 

10 

20 

40  59, 

39  59 

3859 

38  00 

37  02 

36  04 

3508 

34  13 

33  18 

32  23 

31  31 

3038 

20 

30 

39  25 

3826 

37  27 

36  29 

35  31 

34  36 

33  40 

32  46 

31  52 

30  59 

30  07 

29  16 

30 

40 

37  44 

36  46 

35  47 

34  51 

33  54 

33  00 

32  06 

31  13 

30  21 

29  29 

2839 

27  49 

40 

SO 

35  56 

34  59 

34  02 

33  06 

32  II 

31  18 

30  25 

29  34 

28  44 

27  54 

27  06 

26  .19 

50 

lO 

OO 

34  00 

33  03 

32  08 

31  14 

30  21 

29  30 

2838 

27  49 

27  01 

26  14 

25  27 

24  42 

10     00 

lO 

31  54 

30  59. 

30  05 

29  14 

28  23 

27  34 

26  45 

25  59 

25  12 

24  27 

23  43 

23  00 

10 

20 

29  40 

2847 

27  56 

27  07 

26  18 

25  30 

24  46 

24  01 

23  18 

22  36 

21  54 

21  14 

20 

30 

27  15 

26  27 

-25  39 

24  52 

24  07 

23  23 

22  40 

21  58 

21  18 

20  38 

20  00 

19  22 

30 

40 

24  43 

23  57 

23  13 

22  29 

21  47 

21  07 

20  27 

19  49 

19  12 

18  36 

18  01 

17  26 

40 

50 

22  02 

21  20 

20  39 

20  00 

19  22 

18  45 

18  09 

17  35 

17  01 

16  29 

15  57 

15  26 

50 

11 

OO 

19  12 

18  34 

1758 

17  23 

16  50 

16  17 

15  46 

15  15 

14  46 

14  17 

13  49 

13  23 

11     00 

lO 

16  14 

15  42 

15  10 

14  41 

14  II 

13  44 

13  16 

12  51 

12  26 

12  01 

II  37 

II  14 

10 

20 

13  09 

12  42 

J2  17 

II  52 

II  28 

II  05 

10  43 

10  22 

10  02 

9  42 

9  23 

9  03 

20 

30 

9  36 

9  17 

8  58 

8  40 

8  22 

8  06 

7  50 

7  34 

7  19 

7  04 

6  50 

30 

40 

641 

627 

6  13 

6  01 

5  49 

5  37 

5  25 

5  15 

5  04 

4  54 

.  4  44 

4  35 

40 

50 

3  21 

3  14 

308 

3  01 

2  55 

2  50 

2  44 

238 

2  32 

2  27 

2  23 

2  18 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  tht-  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


11 


AZIMUTH    OR   TRUE    BEARING. 


liATITl  DE  1 

o. 

DECLINATION— 

SAME  NAME  - 

VS— LATITUDE. 

LATITUDE  1=. 

Hour  An 

gle. 

48'^ 

49^ 

50° 

51° 

52<^ 

53° 

54° 

55° 

56° 

570 

58'^ 

59° 

Hour  Angle. 

h. 

lU. 

o  / 

0  / 

0  / 

0  / 

0  ' 

0  ' 

0  / 

0  / 

0  / 

0  . 

0  1 

0  / 

b.    ni. 

O 

OO 

O  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0     00 

lO 

2  17 

2  12 

2  07 

2  03 

I  59 

1  54 

I  50 

I  46 

I  43 

1  39 

I  35 

I  31 

10 

20 

4  33 

4  24 

4  15 

4  06 

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3  48 

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3  02 

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6  20 

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4  54 

4  43 

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9  01 

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8  08 

7  50 

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50 

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27  26 

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30  01 

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34  56 

33  55 

32  55 

31  56 

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42  00 

41  00 

40  00 

3901 

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37  00 

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32  00 

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33  58 

32  57 

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39  51 

3853 

37  53 

36  53 

35  52 

34  52 

33  52 

32  52 

31  53 

30  53 

20 

30 

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40  42 

39  42 

3844 

37  44 

3644 

35  44 

34  44 

33  44 

32  44 

31  45 

30  45 

30 

40 

41  30 

40  30 

39  30 

3f  31 

37  31 

3631 

35  32 

34  33 

33  33 
33  18 

32  33 

31  34 

30  34 

40 

50 

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38  16 

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36  16 

35  17 

34  18 

32  19 

31  20 

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50 

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35  10 

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32  17 

31  19 

30  21 

29  25 

28  28 

40 

50 

38  25 

37  V 

36  29 

35  32 

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33  37 

32  39 

31  42 

3045 

2948 

2853 

27  56 

50 

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37  44 

36  47 

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34  52 

33  55 

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31  20 

30  25 

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34  17 

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32  25 

31  30 

30  34 

29  40 

28  45 

27  51 

26  58 

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33  25 

32  31 

31  35 

30  42 

29  46 

28  52 

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26  13 

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33  25 

32  29 

31  35 

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28  51 

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10 

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28  55 

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27  15 

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25  38 

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23  15 

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21  44 

20  58 

20 

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27  36 

26  47 

26  00 

25  13 

24  26 

23  39 

22  54 

22  08 

21  23 

20  40 

19  56 

30 

40 

27  01 

26  14 

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24  40 

23  55 

23  10 

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21  42 

2058 

20  16 

19  34 

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19  55 

19  17 

18  41 

18  04 

17  29 

16  53 

16  19 

15  45 

15  12 

14  39 

14  07 

20 

30 

18  46 

18  10 

17  35 

17  00 

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15  55 

15  22 

14  51 

14  19 

13  49 

13  20 

12  50 

30 

40 

16  53 

16  21 

15  48 

15  18 

14  47 

14  18 

13  48 

13  19 

12  51 

12  24 

II  57 

II  30 

40 

50 

1456 

14  27 

1358 

13  31 

13  04 

12  37 

12  II 

ti  46 

II  21 

10  56 

10  33 

10  08 

50 

11 

OO 

12  56 

12  30 

12  05 

II  42 

II  18 

10  55 

10  32 

ID  10 

948 

9  26 

9  05 

845 

11     00 

10 

10  52 

10  30 

10  09 

9  49 

9  29 

9  09 

850 

832 

8  12 

7  55 

738 

7  20 

10 

20 

8  45 

8  28 

8  il 

7  55 

7  38 

7  22 

7  07 

651 

636 

6  22 

608 

5  54 

20 

30 

636 

623 

6  10 

5  57 

5  45 

5  33 

5  21 

5  09 

4  59 

4  47 

4  37 

4  26 

30 

40 

4  25 

4  16 

407 

3  59 

3  51 

3  42 

3  34 

3  27 

3  19 

3  12 

3  05 

258 

40 

50 

2  13 

2  08 

2  04 

2  00 

I  56 

I  51 

I  47 

I  43 

1  40 

I  37 

I  33 

I  29 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

12     00 

In  >'orth  latltndo,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  n^eridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


12 


AZIMUTH  OR  TRUE  BEARING. 


liATlTUDE  ] 

^• 

DECLINATION— SAME  NAME  AS- 

-LATITUDE. 

liATITUDE  1°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

60° 

60° 

70° 

Hour  Angle. 

b. 

m. 

o  / 

0  / 

0  / 

0  / 

0  1 

0  / 

0  I 

0  / 

0  / 

0  / 

0  / 

Ii.    m. 

0 

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I  24 

I  21 

I  17 

I  14 

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I  07 

I  04 

I  01 

0  58 

0  55 

10 

20 

2  55 

2  48 

2  41 

2  34 

2  28 

2  21 

2  15 

2  08 

2  02 

I  56 

I  49 

20 

30 

4  22 

4  II 

4  00 

3  51 

340 

3  30 

3  2I« 

3  12 

3  02 

2  53 

2  44 

30 

40 

5  47 

5  33 

5  20 

506 

4  53 

4  40 

4  27 

4  15 

4  03 

3  50 

338 

40 

50 

7  12 

6  54 

6  38 

6  21 

6  04 

5  49 

5  33 

5  17 

5  02 

4  47 

4  32 

50 

1 

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8  35 

8  14 

7  54 

7  35 

7  15 

6  56 

6  38 

6  19 

6  00 

5  43 

5  25 

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9  56 

9  33 

9  10 

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825 

8  02 

7  41 

7  19 

6  59 

637 

6  18 

10 

20 

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10  50 

10  24 

9  58 

9  33 

9  08 

843 

8  19 

7  55 

7  31 

7  08 

20 

30 

12  35 

12  05 

II  36 

II  07 

,10  39 

10  12 

9  44 

9  18 

851 

825 

7  59 

30 

40 

13  50 

13  18 

12  47 

12  15 

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10  44 

10  14 

9  45 

9  17 

8  48 

40 

50 

15  04 

14  28 

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12  47 

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II  10 

10  38 

10  07 

9  36 

50 

2 

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15  37 

15  00 

14  25 

13  48 

13  13 

12  38 

12  04 

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10  56 

10  22 

2    00 

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17  22 

16  43 

16  04 

15  25 

14  48 

14  10 

13  32 

12  56 

12  19 

11  43 

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10 

20 

18  28 

17  47 

17  06 

16  24 

15  44 

15  04 

14  24 

13  46 

13  08 

12  29 

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20 

30 

19  31 

1847 

18  04 

17  21 

16  39 

15  57 

15  15 

14  35 

13  54 

13  13 

12  34 

30 

40 

20  31 

19  45 

19  00 

18  15 

17  31 

16  48 

16  04 

15  20 

14  38 

13  56 

13  14 

40 

50 

21  27 

20  40 

19  53 

19  07 

18  21 

17  36 

16  50 

16  05 

15  20 

14  37 

13  53 

50 

3 

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22  21 

21  33 

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19-56 

19  08 

18  21 

17  33 

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16  01 

15  16 

14  30 

3    00 

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23  12 

22  22 

21  31 

20  43 

19  53 

19  04 

18  16 

17  28 

16  40 

15  52 

15  05 

10 

20 

24  00 

23  09 

22  17 

21  26 

20  36 

19  46 

18  56 

18  06 

17  16 

16  27 

1538 

20 

30 

24  45 

23  52 

23  00 

22  08 

21  15 

20  23 

19  33 

18  42 

17  51 

17  01 

16  10 

30 

40 

25  27 

24  33 

23  39 

22  46 

21  52 

21  00 

20  07 

19  15 

18  24 

17  32 

16  40 

40 

50 

26  05 

25  II 

24  16 

23  22 

22  28 

21  33 

20  40 

19  46 

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18  00 

17  08 

50 

4 

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26  41 

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24  49 

23  55 

23  00 

22  04 

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19  21 

18  27 

17  33 

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27  14 

26  17 

25  21 

24  25 

23  28 

22  33 

21  37 

20  42 

19  47 

18  51 

17  57 

10 

20 

27  43 

26  46 

25  49 

24  52 

23  56 

22  59 

22  03 

21  06 

20  10 

19  14 

t8  18 

20 

30 

28  11 

27  13 

26  14 

25  17 

24  20 

23  22 

22  26 

21  28 

20  31 

19  34 

18  38 

30 

40 

28  34 

27  36 

2638 

25  40 

24  42 

23  43 

22  46 

21  48 

20  50 

19  53 

1855 

40 

50 

28  55 

27  57 

26  58 

25  59 

25  00 

24  02 

23  03 

22  05 

21  07 

20  09 

19  II 

50 

5 

OO 

29  12 

28  14 

27  15 

26  16 

25  17 

24  18 

23  19 

22  20 

21  21 

20  23 

19  24 

5    00 

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29  28 

28  28 

27  29 

26  30 

25  30 

24  31 

23  32 

22  33 

21  33 

20  34 

19  35 

10 

20 

29  41 

28  41 

27  41 

26  41 

25  41 

24  42 

23  43 

22  43 

21  43 

20  44 

1944 

20 

30 

29  50 

28-49 

.27  50 

26  50 

25  51 

24  51 

23  51 

22  51 

21  51 

20  51 

19  52 

30 

40 

29  56 

2856 

27  56 

2656 

25  56 

24  56 

23  56 

22  56 

21  56 

20  56 

19  57 

40 

50 

30  00 

29  00 

27  59 

26  59 

25  59 

24  59 

23  59 

22  59 

21  59 

20  59 

19  59 

50 

6 

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30  00 

29  01 

28  CX) 

27  01 

26  00 

25  00 

24  00 

23  00 

22  00 

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20  01 

6     00 

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2958 

28  58 

27  59 

26  59 

25  59 

24  58 

2358 

22  58 

21  58 

20  58 

1958 

10 

20 

29  54 

28  53 

27  53 

26  54 

25  54 

24  55 

23  54 

22  55 

21  55 

20  55 

19  56 

20 

30 

29  46 

28  46 

27  46 

26  47 

25  47 

24  47 

2348 

22  49 

21  49 

20  49 

19  50 

30 

40 

29  35 

2835 

27  36 

26  37 

2538 

24  38 

23  39 

22  40 

21  41 

20  42 

19  42 

40 

50 

29  22 

28  23 

27  24 

26  25 

25  26 

24  27 

23  27 

22  29 

21  30 

20  31 

19  33 

50 

7 

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29  05 

28  06 

27  08 

26  10 

25  II 

24  12 

23  13 

22  16 

21  17 

20  19 

19  20 

7     00 

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28  46 

27  48 

26  49 

25  52 

24  54 

23  56 

22  58 

22  00 

21  02 

20  05 

19  07 

10 

20 

28  25 

27  26 

26  28 

25  32 

24  34 

23  36 

22  39 

21  42 

20  45 

19  48 

18  51 

20 

30 

27  59 

27  02 

26  05 

25  09 

24  12 

23  15 

22  17 

21  22 

20  25 

19  29 

18  33 

30 

40 

27  32 

26  35 

25  39 

24  43 

23  47 

22  50 

21  55 

20  59 

20  04 

19  08 

18  13 

40 

50 

27  00 

26  05 

25  09 

24  14 

23  20 

22  24 

21  29 

20  34 

19  40 

1845 

17  51 

50 

8 

OO 

26  27 

25  32 

24  37 

23  44 

22  49 

21  55 

21  01 

20  07 

19  14 

18  20 

17  26 

8     00 

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25  50 

24  57 

24  03 

.  23  09 

22  17 

21  23 

20  30 

1938 

18  45 

17  53 

17  00 

10 

20 

25  II 

24  18 

23  26 

22  33 

21  41 

20  50 

19  57 

19  06 

18  15 

17  24 

16  33 

20 

30 

24  29 

23  37 

22  45 

21  55 

21  04 

20  13 

19  22 

18  32 

17  42 

16  53 

16  03 

30 

40 

23  44 

22  53 

22  03 

21  13 

20  23 

19  34 

18  45 

.  17  56 

17  07 

16  19 

15  32 

40 

SO 

22  55 

22  06 

21  17 

20  29 

19  41 

1853 

18  05 

17  18 

16  31 

15  45 

1458 

60 

» 

OO 

22  04 

21  16 

20  29 

19  42 

18  55 

18  09 

17  23 

16  38 

15  53 

15  08 

14  23 

9     00 

lO 

21  10 

20  24 

19  38 

1853 

18  08 

17  24 

16  39 

15  55 

15  12 

14  28 

13  45 

10 

20 

20  13 

19  29 

18  44 

18  01 

17  18 

16  36 

15  53 

15  II 

14  29 

13  48 

13  06 

20 

30 

19  13 

18  31 

17  49 

17  07 

16  26 

15  46 

15  05 

14  25 

13  44 

13  05 

12  26 

30 

40 

18  II 

17  31 

16  50 

16  II 

15  32 

14  53 

14  14 

13  36 

12  59 

12  21 

II  44 

40 

SO 

17  06 

16,28 

15  49 

15  13 

14  36 

13  59 

13  22 

12  47 

12  II 

II  36 

II  00 

50 

lO 

OO 

15  59 

15  22 

14  46 

14  II 

13  36 

13  02 

12  28 

II  55 

II  22 

10  48 

10  15 

10     00 

lO 

14  48 

14  15 

13  41 

13  09 

12  36 

12  04 

II  32 

II  01 

10  28 

10  00 

9  29 

10 

20 

13  36 

13  <^5 

12  34 

12  04 

II  34 

II  05 

10  35 

10  07 

936 

■9  10 

8  42 

20 

30 

12  21 

11  53 

II  25 

10  57 

10  29 

10  03 

9  36 

9  10 

8  44 

8  19 

7  53 

30 

40 

II  04 

10  39 

10  14 

948 

9  24 

9  00 

8  36 

8  13 

7  49 

7  26 

703 

40 

50 

9  45 

9  23 

9  00 

839 

8  17 

756 

7  34 

7  14 

653 

633 

6  12 

50 

11 

OO 

S  25 

8  06 

7  46 

7  27 

7  08 

6  50 

631 

6  13 

556 

538 

5  21 

11     00 

lO 

7  03 

6  47 

6  30 

6  15 

5  59 

5  44 

5  28 

5  13 

458 

4  43 

4  29 

10 

20 

5  40 

5  27 

5  14 

5  01 

4  48 

4  36 

4  23 

4  12 

3  59 

3  47 

336 

20 

30 

4  16 

4  06 

3  56 

3  46 

336 

3  28 

3  18 

3  09 

3  00 

2  51 

2  42 

30 

40 

2  51 

2  44 

238 

2  31 

2  25 

2  18 

2  12 

2  06 

2  01 

I  55 

I  48 

40 

50 

I  26 

I  22 

I  19 

1  15 

I  12 

I  10 

I  07 

I  03 

I  00 

0  57 

0  54 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latltuile,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabnlated  azimuths  are  reckoned  from  North  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East:  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  suppplement  of  the  hour  angle  and  the 
suDolement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


13 


AZIMUTH    OR    TRUE    BEARING. 


IaATITVVHB  2° 


DECWNATION— SAME  NAME  AS— LATITUDE. 


IiAtitl'De:  2°. 


Honr  Angle. 


24° 


O 


lO 


12 


m. 
OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
4\> 
50 

OO 
lO 
20 
30 
40 
50 
OO 


O  OO 
6  02 
12   OO 

17  38 

22   55 

27  47 

32  10 
36  09 
39  41 
42  50 
45  39 
48-07 

50  19 
52  17 

54  01 

55  34 

56  57 

58  10 

59  16 

60  14 

61  07 

61  53 

62  35 

63  II 

63  44 

64  12 
64  37 

64  58 

65  15 
65  31 

65  43 
65  52 

65  59 

66  03 
66  04 
66  04 

66  01 

65  55 
6548 
65  36 
65  23 
6508 

64  49 
64  28 
64  04 
63  37 
63  05 
62  32 


26° 


27° 


28° 


29° 


61 

M- 

61 

12 

60 

25 

59  33 

37 

57  33 

.S6 

• 
25 

55 

08 

53  43 

52 

10 

50  27 

48 

33 

46  28 

44  07 

41 

34 

3« 

43 

35  35 

32  09 

28 

23 

24 

18 

19  55 

15 

14 

10 

18 

5 

II 

0 

00 

o  00 

5  46 
II  26 
16  49 
21  55 
2636 

30  54 
34  47 
38  17 

41  25 

44  13 

46  42 

48  56 
50  54 

52  40 

54  15 

55  39 
5°  54 

58  01 

59  02 

59  56 

60  43 

61  26 

62  03 

62  37 
6306 

63  31 

63  54 

64  12 
64  28 

64  40 

64  51 
6458 

65  02 
65  04 
65  03 

65  01 
6456 
64  47 
64  36 
64  23 
64  07 

63  48 
63  27 
63  03 
62  35 
62  02 
61  28 

60  50  J 
60  07 

59  19 
58  26 
57  28 

56  25 

55  15 

53  56 
52  32 
50  57 

49  14 

47  19 

45  13 

42  54 
40  21 
37  32 
34  27 

31  04 

27  23 
23  24 
19  08 
H  37 
9  52 
4  59 
o  00 


o  00 

5  30 
10  54 
16  04 
2059 

25  31 

29  42 
33  30 
36  57 

40  03 
42  50 

45  20 

47  34 
49  33 

51  21 

52  56 

54  22 
5538 

5648 

57  49 

58  44 

59  34 

60  18 

60  56 

61  31 

62  01 
62  28 

62  50 

63  10 
63  25 

63  39 
63  49 

63  57 

64  02 
64  04 
64  04 

i 
64  00 
6356 
63  47  , 
63  36  ! 
63  23  { 
63  06 

62  48  i 
62  25  ; 
62  01  I 

61  32 1 

61  01  j 
60  25  ! 

59  46  I 
59  02  I 
58  13  I 
57  20  I 
56  22 

55  17  I 

54  05  i 
52  46  i 
51  20 

49  45  I 

48  01  1 

46  07 

44  01 

41  41 
39  09 
36  22 

33  19 

30  01 

26  24 
22  32 

18  25 
14  02 
9  29 
4  47 
o  00 


o  00 

5  15 
10  24 
15  22 

20  05 

24  30 

28  33 
32  17 
35  41 
38  45 

41  31 
44  00 

46  14 
48  14 

50  03 

51  40 

53  06 

54  24 

55  34 
5638 

57  34 

58  25 

59  10 

59  49 

60  25 

60  56 

61  23 

61  47 

62  06 
62  23 

62  37 
62  48 

62  56 

63  01 
63  03 
63  04 

63  01 
62  55 
62  47 
62  36 
62  23 
62  07 

61  47 
61  24 
60  59 
60  30 
5958 
59  22 

5842 
57  57 
57  08 

56  14 
55  15 
54  09 

52  57 
51  38 
50  II 
48  36 
46  51 
44  55 

42  50 
40  31 
38  01 

35  15 
32  16 

29  00 

25  29 

21  44 

17  43 
13  30 
9  06 

4  35 
o  00 


o  00  I 
5  01 
9  57  , 
14  43 

19  15  I 

23  31 

27  28 
31  08 
34  26 
37  29 

40  13 

42  42 

44  56 

46  56 

48  46 

50  24 

51  52 

53  " 

54  22 

55  26 

56  23 

57  15 

58  02 

58  42 

59  19 

59  51 

60  19 

60  43 

61  04 
61  22 

61  36 

61  47 

61  55 

62  00 
62  03 
62  03 

62  00 
61  55 
61  47 
61  36 
6i  23 
61  06 

60  46 
60  25 
59  57 
59  28 
5856 
58  19 

57  38 
56  53 
56  03 
55  08 
54  08 
53  02 

51  49 
50  30 

49  02 

47  26 

45  41 

43  46 

41  41 
39  23 
36  54 
34  II 
31  13 

28  02 

24  37 

20  56 
17  04 
13  00 

845 
4  25 

O  00' 


o  00 

448 

9  32 
14  06 
18  28 

22  36 

26  27 
30  01 

33  17 
36  15 
38  59 

41  26 

43  40 

45  41 
47  31 
49  09 
5038 
51  58 

53  10 

54  16 

55  15 

56  07 

56  54 

57  35 

58  13 
5846 

59  15 

59  40 

60  01 
60  19 

60  34 
60  46 

60  55 

61  00 
61  03 
61  04 

61  01 
60  56 
60  47 
60  36 
60  23 
60  06 

59  46 
59  23 
5856 
5826 
57  54 
57  i6 

56  34 
55  49 
54  59 
54  03 
53  02 
51  56 

5042 
49  22 
47  55 

46  18 

44  33 

42  39 

40  34 
38  17 
35  50 
3308 

30  14 

27  07 

23  46 
20  13 
16  27 
12  30 

8  26 
4  14 
o  00 


30° 


31° 


32*= 


o  00 
4  36 
9  07 
13  32 
17  45 

21  44 

25  28 
2857 
32  09 
35  05 
37  46 

40  12 

42  26 

44  27 

46  17 

47  56 

49  26 

50  47 

52  00 

53  07 

54  06 

55  00 

55  47 

56  30 

57  07 

57  41 

58  II 
5836 

58  59 

59  17 

59  32 
59  45 

59  54 

60  00 
60  03 
60  03 

60  01 
59  55 
59  46 
59  36 
59  22 
59  06 

5845 
58  22 
57  55 
57  25 
56  51 
56  14 

55  32 
54  46 
53  55 
52  59 

51  57 
50  50 

49  36 

48  16 
46  48 

45  12 

43  27 

41  32 

39  28 
37  13 
34  46 
32  08 
29  17 

26  14 

22  58 
19  30 

15  51 
12  03 
8  06 

4  05 
o  00 


o  00 
4  25 
845 
12  59 

17  03 
20  55 

24  32 

27  56 
31  03 
33  58 
36  37 

39  02 

41  14 

43  15 

45  04 

46  45 

48  14 

49  37 

50  50 

51  58 
'52  58 

53  52 

54  40 

55  24 

56  02 

56  37 

57  08 
57  34 

57  57 

58  16 

5831 
5844 
58  53 

58  59 

59  03 
59  03 

59  01 

5856 

5847 

58361 

58  22 

5805 

57  45 
57  22 
56  54 
56  24 
55  50 
55  12 

54  29 
53  43 

52  51 
51  55 
50  53 
49  46 

48  31 

47  10 
45  42 

44  06 

42  22 

40  28 

38  25 
36  II 
33  46 
31  10 

28  22 

25  23 

22  12 

18  50 
15  17 
II  3J 

7  49 
3  55 
o  00 


o  00 

4  14 
8  24 
12  29 
16  24 

20  08 

23  39 

26  58 
30  02 
32  53 
35  29 
37  53 

40  05 

42  04 

43  54 

45  34 

47  05 

48  27 

49  41 

50  49 

51  50 

52  46 

53  35 

54  19 

5458 

55  34 

56  04 
56  31 

56  54 

57  13 

57  29 
57  43 
57  52 

57  59 

58  03 
58  04 

58  01 
57  56 
57  47 
57  36 
57  22 
57  05 

56  44 

56  21 

55  53 

55  23 

54  48 

54  09 

53  27 
52  40 
51  48 
50  52 
49  49 
48  41 

47  26 

46  06 

44  38 
43  02 

41  17 
39  24 

37  22 

35  10 

32  47 

30  14 

27  29 

24  34 

21  28 
18  II 
14  46 
II  12 

7  31 
3  47 
o  00 


33° 


o  00 

4  04 
8  04 
12  00 
15  46 
19  24 

22  49 
26  02 
29  02 
31  49 
34  24 
36  46 

3856 

40  56 

42  45 

44  25 

45  56 

47  18 

48  33 

49  42 

50  43 

51  39 

52  29 

53  14 

53  54 

54  30 

55  00 
55  28 

55  52 

56  12 

5628 
56  41 
56  52 

56  59 

57  03 
57  03 

57  01 
5656 
5648 

56  37 
56  22 
56  04 

55  44 
55  20 
54  53 
54  22 
53  47 
5308 

52  26 
51  38 
5046 

49  49 
4847 
47  38 

46  23 
45  02 

43  35 

41  59 
40  15 
38  23 

36  21 
34  " 
31  51 
29  20 
26  38 

23  47 

2045 
17  35 
14  16 
10  49 
7  16 
3  39 
o  00 


34°        35°       Hour  Augle. 


o  00 
3  54 
7  46 
i:  33 
15  " 
18  41 

22  01 
25  08 
28  04 
30  48 
33  21 
35  40 

37  50 

39  49 

41  38 

43  17 

44  48 

46  10 

47  26 
4835 

49  37 

50  33 
51^ 
52  09 

52  50 

53  26 

53  57 

54  26 

54  50 

55  10 

5528 
55  41 

55  51 
5558 

56  02 
56  03 

56  01 
55  56 
5548 
55  36 
55  22 
55  04 

54  44 
54  19 
53  52 
53  20 
52  45 
52  07 

51  23 
50  36 
49  43 

48  46 

47  43 
46  35 

45  20 
43  59 

42  32 

40  56 

39  13 
37  22 

35  23 

33  13 

30  54 

28  27 

25  48 

23  02 

20  05 
17  00 
13  46 
10  26 
7  01 
3  32 
o  00 


o  00 

3  45 
7  28 
II  06 

14  38  i 

18  01  I 

21  14 

24  17  : 
27  09 
29  50 

32  19 

34  37  j 

3646! 
3844 

40  32 

42  10 

43  42 

45  04 

46  20 

47  29 

48  32 

49  28 

50  20 

51  06 

51  46 

52  23 

52  56 

53  24 

53  48 

54  09 

54  26 
54  39 

54  51 
5458 

55  02 
55  03 

55  01 
54  56 
54  48 
54  36 
54  22 
54  04 

53  43 
53  19 
52  52 
52  20 
51  45 
51  06 

50  22 

49  34 
48  41 
47  44 
46  41 
45  33 

44  18 
4258 

41  30 
3956 
38  13 
36  23 

34  25 
32  17 
3D  01 
2735 

25  02 

22  18 

19  26 
16  26 
13  18 
10  04 

6  46 
3  24 
o  00 


ll. 

O 


10 


11 


12 


ni. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50. 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  >orth  latltutle,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East; 
:n  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 


...  .       .  and 

wher 

In  South  latltnde,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declinntlon  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


14 


AZIMUTH  OR  TRUE  BEARING. 


liATITirilE  2 

0^ 

DECLINATION- 

-SAME  NAME  AS— IvATITUDE. 

I.ATITUDC:  2°. 

Hour  Angle. 

36° 

370 

38° 

30° 

40° 

41° 

42° 

43» 

44° 

4S° 

• 

46° 

47° 

Hour  Angle. 

h. 

m. 

O  1 

0  / 

0  1 

0  / 

0  / 

0  ' 

0  ' 

0  / 

0  / 

0  ' 

0  / 

0  / 

Ii.    in. 

O 

OO 

O  CX) 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0.    00 

lO 

3  36 

3  28 

3  21 

3  14 

3  07 

3  00 

2  53 

2  47 

2  41 

2  35 

2  30 

2  24 

10 

20 

7  11 

6  55 

6  40 

6  26 

6  II 

558 

5  45 

5  33 

5  21 

5  10 

4  59 

4  48 

20 

30 

10  41 

10  18 

9  55 

9  34 

9  14 

853 

8  34 

8  17 

7  59 

7  43 

726 

7  II 

30 

40 

14  06 

^3  35 

13  06 

12  38 

12  II 

II  45 

II  21 

10  57 

10  34 

10  12 

9  51 

9  30 

40 

SO 

17  22 

16  45 

16  10 

15  36 

15  03 

14  33 

14  02 

13  33 

13  06 

12  38 

12  12 

II  47 

50 

1 

OO 

20  30 

19  47 

19  06 

18  27 

17  50 

17  13 

16  38 

16  04 

15  32 

15  00 

14  30 

14  00 

1     00 

lO 

2328 

22  40 

21  55 

21  II 

20  29 

19  48 

19  08 

18  30 

17  53 

17  18 

16  43 

16  09 

10 

20 

26  16 

25  24 

24  34 

23  47 

23  01 

22  15 

21  32 

20  50 

20  09 

19  29 

18  51 

18  13 

20 

30 

2853 

2758 

27  04 

26  13 

25  23 

24  35 

2348 

23  02 

22  18 

21  36 

20  54 

20  13 

30 

40 

31  20 

30  22 

29  25 

28  31 

27  39 

26  47 

25  57 

25  08 

24  22 

23  35 

22  51 

22  07 

40 

SO 

33  35 

32  35 

31  37 

30  40 

29  46 

28  52 

27  59 

27  08 

26  18 

25  30 

24  42 

23  55 

SO 

a 

OO 

35  42 

34  40 

33  40 

32  42 

31  45 

30  49 

29  54 

29  01 

28  08 

27  17 

26  28 

25  39 

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12  52 

12  26 

12  01 

II  38 

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10  32 

10  II 

9  52 

9  32 

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20 

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9  44 

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8  48 

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7  57 

7  42 

7  26 

7  12 

6  58 

6  43 

30 

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6  19 

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5  54 

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5  30 

5  20 

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4  59 

4  49 

4  39 

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3  17 

3   10 

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2  52 

2  46 

2  40 

2  35 

2  30 

2  25 

2  20 

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12 

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0  00 

0  00 

0  00 

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0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


15 


AZIMUTH  OR  TRUE   BEARING. 


latitude:  2 

o. 

DECI.INATION- 

SAME  NAME  AS— LATITUDE. 

LATITUDE  2°. 

Hour  An 

1 

gle. 

48° 

4»° 

50° 

51° 

52° 

53° 

54" 

550 

56° 

.57° 

68° 

69° 

Hour  Angle. 

h. 

m. 

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0  / 

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0  / 

0  / 

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10 

20 

438 

4  29 

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409 

4  01 

3  51 

3  44 

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326 

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3  " 

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20 

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6  40 

6  26 

613 

5  59 

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24  56 

24  08 

23  22 

22  34 

21  48 

10 

20 

29  30 

28  39 

27  50 

27  01 

26  13 

2525 

24  37 

23  51 

23  05 

22  19 

21  34 

20  49 

20 

30 

28  09 

27  20 

2633 

25  46 

24  59 

24  13 

23  27 

22  42 

21  58 

21  14 

20  30 

19  48 

30 

40 

26  45 

25  57 

25  II 

24  25 

23  41 

22  57 

22  13 

21  30 

20  47 

20  06 

10  24 
18  15 

18  44 

40 

50 

25  15 

24  30 

23  46 

23  03 

22  20 

21  37 

2056 

20  15 

19  35 

1855 

17  37 

SO  i 

lO 

OO 

23  41 

22  58 

22  16 

21  34 

20  54 

20  14 

19  35 

1856 

18  18 

17  41 

17  03 

16  27 

10     00 

lO 

22  02 

21  22 

20  42 

20  03 

19  25 

18  48 

18  10 

17  34 

16  59 

16  23 

15  49 

15  15 

10 

20 

20  19 

19  41 

19  04 

18  28 

17  53 

17  17 

16  43 

16  10 

15  36 

15  03 

14  32 

14  00 

20 

30 

18  32 

17  57 

17  22 

16  49 

16  17 

15  44 

15  13 

14  42 

14  II 

13  42 

13  12 

12  43 

30 

40 

16  40 

16  08 

15  37 

15  07 

14  37 

14  08 

13  39 

13  11 

12  43 

12  16 

II  50 

11  24 

40 

5'0 

14  44 

14  16 

1348 

13  21 

12  55 

12  29 

12  03 

11  38 

II  14 

10  50 

10  26 

10  03 

60 

11 

OO 

12  45 

12  20 

II  55 

11  33 

II  10 

10  47 

10  25 

10  03 

■  9  41 

9  20 

9  00 

8  40 

11     00 

lO 

10  43 

10  22 

10  01 

9  41 

9  22 

9  02 

844 

8  25 

8  08 

7  50 

7  33 

7  16 

10 

20 

838 

8  20 

8  04 

748 

7  32 

7  16 

7  02 

646 

632 

6  18 

6  04 

5  51 

20 

30 

6  30 

6  17 

6  05 

5  53 

540 

5  29 

518 

506 

4  55 

4  44 

4  34 

4  23 

30 

40 

4  21 

4  13 

4  04 

3  55 

348 

340 

3  32 

3  25 

3  17 

3  10 

3  03 

256 

40 

50 

2  II 

2  07 

2  02 

I  58 

1  54 

I  51 

I  47 

I  43 

I  39 

I  35 

I  31 

I  28 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  E^st;  and 
irhen  the  star  is  setting  or  west  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  .setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered,  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


16 


AZIMUTH  OR  TRUE  BEARING. 


f 

LATITUDE  2 

o^ 

DECUNATION— SAME  NAME  AS— I,ATITUDE. 

LATITUDE  2-. 

Hour  Angle. 

«00 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

M. 

ni. 

o  / 

0  / 

0  / 

0  r 

0  ' 

0  / 

0  / 

0  f 

0  / 

0  / 

0  / 

Ii.    ni. 

O 

OO 

O  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

I  29 

I  25 

I  21 

I  18 

I  14 

I  II 

I  08 

I  05 

I  02 

0  59 

0  55 

10 

20 

2  57 

2  49 

2  42 

2  35 

2  29 

2  22 

2  15 

2  09 

2  02 

I  57 

I  51 

20 

30 

4  24 

4  14 

4  03 

3  53 

3  43 

3  32 

3  23 

3  13 

3  04 

2  54 

2  45 

30 

40 

5  51 

5  37 

5  22 

5  09 

4  56 

4  43 

4  30 

4  17 

4  05 

3  52 

3  40 

40 

50 

7  17 

6  58 

6  41 

6  25 

6  08 

5  52 

5  35 

;  20 

5  04 

4  49 

4  34 

50 

1 

OO 

8  40 

8  20 

7  59 

738 

7  19 

7  00 

6  40 

6  22 

6  03 

5  45 

5  27 

1     00 

lO 

10  02 

938 

9  15 

852 

8  29 

8  07 

7  44 

7  23 

7  ox 

6  40 

6  19 

10 

20 

II  23 

10  57 

10  30 

10  04 

9  38 

9  12 

847 

823 

758 

7  35 

7  12 

20 

30 

12  42 

12  12 

II  43 

II  13 

10  45 

10  17 

9  49 

9  21 

8  54 

8  28 

8  01 

30 

40 

13  58 

13  25 

12  52 

12  21 

II  50 

II  19 

10  49 

10  19 

9  50 

9  20 

851 

40 

50 

15  12 

14  37 

14  01 

13  28 

12  54 

12  20 

II  47 

II  14 

10  42 

10  11 

9  40 

50 

'  2 

OO 

16  23 

15  46 

15  07 

14  31 

13  55 

13  19 

12  44 

12  09 

II  34 

II  00 

10  26 

2     00 

lO 

17  32 

17  51 

16  II 

15  32 

14  55 

14  16 

1338 

13  01 

12  24 

II  48 

II  12 

10 

20 

1837 

17  54 

17  13 

16  32 

15  51 

15  10 

14  30 

13  52 

13  12 

12  33 

II  55 

20 

30 

19  40 

18  56 

18  12 

17  28 

16  46 

16  03 

15  21 

14  39 

13  59 

13  i8 

12  37 

30 

40 

20  40 

19  54 

19  08 

18  23 

17  39 

16  54 

16  10 

15  27 

14  43 

14  00 

13  18 

^   40 

50 

21  37 

20  49 

20  01 

19  14 

18  28 

17  41 

1656 

16  II 

15  26 

14  41 

13  57 

50 

3 

OO 

22  31 

21  41 

20  52 

20  03 

19  15 

18  28 

17  40 

16  53 

16  06 

15  20 

14  34 

3    00 

lO 

23  21 

22  31 

21  40 

20  49 

20  01 

19  II 

18  22 

17  33 

16  45 

15  57 

15  09 

10 

20 

24  09 

23  17 

22  24 

21  33 

20  43 

19  51 

19  01 

18  12 

17  22 

16  31 

15  42 

20 

30 

24  54 

24  00 

23  07 

22  14 

21  22 

20  30 

19  38 

1847 

17  56 

17  05 

16  14 

30 

40 

25  35 

24  41 

23  46 

22  53 

22  00 

21  06 

20  13 

19  21 

18  28 

17  35 

16  44 

40 

50 

26  14 

25  18 

24  22 

23  28 

22  34 

2J  39 

20  46 

19  51 

18  58 

18  04 

17  12 

50 

4 

OO 

26  49 

25  53 

24  57 

24  00 

23  05 

22  10 

21  15 

20  21 

19  25 

18  31 

17  37 

4     00 

lO 

27  21 

26  24 

25  27 

24  30 

23  35 

22  38 

21  42 

20  47 

19  51 

18  55 

18  00 

10 

20 

^l  5° 

26  53 

25  55 

24  58 

24  01 

23  04 

22  07 

21  10 

20  14 
20  36 

19  17 

18  22 

20 

30 

28  16 

27  19 

26  20 

25  22 

24  25 

23  27 

22  29 

21  32 

1938 

18  41 

30 

40 

28  40 

27  41 

26  42 

25  44 

24  46 

23  47 

22  49 

21  52 

20  54 

19  55 

1858 

40 

50 

29  00 

28  02 

27  02 

26  03 

25  05 

24  06 

23  07 

22  08 

21  10 

20  II 

19  13 

50 

5 

OO 

29  17 

28  18 

27  19 

26  20 

25  21 

24  21 

23  21 

22  23 

21  25 

20  25 

19  26 

5     00 

lO 

29  32 

28  32 

27  33 

26  33 

25  34 

24  34 

23  35 

22  36 

21  36 

20  37 

1938 

10 

20 

29  44 

28  43 

27  43 

26  44 

25  44 

24  45 

23  45 

22  45 

21  46 

20  46 

19  46 

20 

30 

29  52 

28  52 

27  52 

26.52 

25  53 

24  52 

23  53 

22  52 

21  53 

20  53 
20  58 

19  53 

30 

40 

2958 

2858 

2758 

26  57 

26  01 

24  57 

23  57 

22  57 

21  57 

1958 

40 

50 

30  01 

29  or 

28  00 

27  00 

25  00 

24  00 

23  00 

22  00 

21  00 

20  00 

50 

6 

OO 

30  01 

29  01 

28  00 

27  00 

26  01 

25  01 

24  01 

23  01 

22  01 

21  01 

20  01 

6     00 

lO 

29  58 

2858 

27  59 

2658 

25  59 

24  59 

23  59 

22  59 

21  59 

20  59 

20  00 

10 

20 

29  53 

2853 

27  53 

■  26  53 

25  54 

24  54 

23  54 

22  55 

21  54 

20  55 

19.56 

20 

30 

29  44 

28  45 

27  45 

26  45 

25  47 

24  47 

23  47 

22  47 

21  48 

20  49 

19  50 

30 

40 

29  33 

28  34 

27  35 

26  35 

25  36 

24  37 

2338 

22  39 

21  40 

20  40 

19  41 

40 

60 

29  19 

28  20 

27  21 

26  22 

25  24 

24  25 

23  26 

22  28 

21  29 

20  30 

19  32 

50 

7 

OO 

29  02 

28  04 

27  05 

26  07 

25  09 

24  10 

23  II 

22  13 

21  15 

20  17 

19  20 

7     00 

lO 

28  43 

27  44 

26  46 

25  48 

24  51 

23  54 

22  56 

21  58 

21  01 

20  02 

19  06 

10 

20 

28  20 

27  22 

26  25 

25  28 

24  31 

23  34 

22  36 

21  40 

20  42 

19  45 

18  50 

20 

30 

27  55 

26  58 

26  01 

25  05 

24  09 

23  12 

22  16 

21  19 

20  23 

•  19  27 

18  31 

30 

40 

27  26 

26  30 

25  34 

24  38 

23  43 

22  47 

21  52 

20  56 

20  01 

19  05 

i8  11 

40 

50 

26  55 

26  00 

25  05 

24  09 

23  15 

22  20 

21  25 

20  31 

19  37 

18  42 

17  49 

50 

8 

OO 

26  21 

25  27 

24  32 

23  38 

22  45 

21  51 

20  57 

20  04 

19  10 

18  17 

'Z  ^1 

8     00 

lO 

25  45 

24  50 

23  57 

23  05 

22  12 

21  19 

20  27 

19  34 

18  42 

17  50 

16  58 

10 

20 

25  07 

24  12 

23  19 

22  27 

21  36 

20  45 

19  53 

19  02 

i8  12 

17  21 

16  31 

20 

30 

24  22 

23  30 

22  39 

21  48 

20  58 

20  08 

19  17 

18  29 

17  39 

16  49 

16  00 

30 

40 

23  36 

22  46 

21  56 

21  06 

20  18 

19  29 

18  40 

17  52 

17  04 

16  15 

15  28 

40 

50 

22  47 

21  59 

21  10 

20  23 

19  35 

18  48 

18  00 

17  14 

16  26 

15  40 

14  55 

50 

9 

OO 

21  56 

21  09 

20  23 

19  35 

18  50 

18  04 

17  18 

16  33 

1548 

15  03 

14  19 

9     00 

10 

21  02 

20  17 

19  31 

18  47 

18  02 

17  18 

16  35 

15  50 

15  07 

14  25 

13  42 

10 

20 

20  05 

19  22 

18  38 

17  55 

17  13 

16  30 

1548 

15  07 

14  26 

13  44 

13  04 

20 

30 

.19  06 

18  24 

17  42 

17  01 

16  21 

15  39 

14  59 

14  20 

13  41 

13  01 

12  23 

30 

40 

18  03 

17  23 

16  44 

16  04 

15  27 

14  47 

14  09 

13  32 

12  55 

12  17 

II  41 

40 

50 

16  58 

16  21 

15  43 

15  06 

14  30 

13  54 

13  18 

12  42 

12  07 

II  32 

10  57 

'  50 

lO 

OO 

15  51 

15  15 

14  40 

14  05 

13  31 

12  57 

12  24 

II  50 

II  18 

10  45 

10  12 

10   00 

lO 

14  41 

14  07 

13  35 

13  02 

12  31 

II  59 

11  28 

10  57 

10  27 

9  56 

9  27 

10 

20 

13  29 

12  58 

12  28 

II  58 

II  29 

10  59 

10  31 

10  03 

9  35 

9  07 

8  39 

20 

30 

12  15 

II  47 

II  20 

10  52 

10  25 

9  59 

9  32 

9  07 

8  41 

8  15 

7  50 

30 

40 

10  58 

10  33 

10  08 

9  44 

9  20 

856 

8  32 

8  10 

7  46 

7  23 

701 

40 

50 

9  40 

9  18 

856 

8  34 

8  13 

7  52 

7  31 

7  II 

6  50 

631 

6  11 

50 

11 

OO 

8  21 

8  01 

7  42 

7  23 

7  05 

6  47 

6  28 

6  II 

5  54 

536 

5  19 

11     00 

lO 

6  59 

6  43 

627 

6  12 

556 

5  40 

526 

5  II 

4  5^ 

4  41 

4  27 

10 

20 

5  37 

5  24 

5  II 

4  58 

4  45 

4  34 

4  21 

4  09 

3  57 

3  46 

3  34 

20 

30 

4  14 

4  04 

3  44 

3  35 

3  26 

3  17 

3  08 

258 

2  50 

2  41 

30 

40 

2  49 

2  43 

2  36 

2  30 

2  24 

2  18 

2  II 

2  05 

I  59 

I  53 

I  47 

40 

50 

I  25 

I  22 

I  19 

I  15 

I  12 

I  09 

I  06 

I  03 

I  00 

0  57 

0  54 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  iHtitiide,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  .South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


17 


AZIMUTH   OR  TRUE   BEARING. 


1 

i  liATITI^UE  3°. 

DECLINATION— 

SAME  NAME  AS— LATITUDE 

l.A'rTITl'I»E  3°. 

Hour  Angle. 

240 

35° 

26^ 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Honr  Angle. 

1 

li.     in. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

c  / 

0  /  ■ 

0  / 

0  1 

0  / 

0  1 

li.    ni. 

O     OO 

o  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0         00 

lO 

6  20 

6  02 

5  44 

5  27 

5  12 

4  59 

4  45 

4  33  <r 

4  22 

$  " 

4  01 

3  52 

10 

ao 

12  31 

II  54 

II  20 

10  48 

10  19 

9  51 

9  26 

9  03 

8  40 

8  19 

759 

7  40 

20 

30 

i8  24 

17  31 

16  41 

15  56 

15  14 

14  35 

'§^ 

13  23 

12  51 

12  20 

II  52 

11  24 

SO 

40 

23  51 

22  45 

21  44 

?0  47 

19  55 

1905 

18  18 

17  34 

16  53 

16  13 

15  36 

15  01 

40 

50 

28  49 

27  34 

26  24 

25  18 

24  17 

23  19 

22  23 

21  31 

20  42 

19  55 

19  ID 

18  29 

50 

1   oo 

33  18 

31  56 

30  39 

29  27 

28  19 

27  13 

26  12 

25  13 

24  18 

23  24 

22  34 

21  45 

1     00 

lO 

37  18 

35  53 

34  31 

33  14 

32  00 

30  50 

29  44 

28  40 

27  39 

26  41 

25  45 

24  51 

10 

ao 

40  51 

39  24 

37  59 

36  39 

35  22 

34  09 

3258 

31  50 

3045 

29  42 

28  43 

27  45 

20 

30 

44  00 

42  32 

41  05 

39  43 

38  25 

37  09 

35  55 

34  45 

33  37 

32  31 

31  28 

30  28 

30 

40 

46  47 

45  18 

43  52 

42  30 

41  10 

39  52 

38  37 

37  25 

^^1 

35  07 

34  01 

3258 

40 

50 

49  14 

4746 

46  20 

44  57 

43  37 

42  18 

41  03 

39  50 

37  29 

36  22 

35  17 

50 

2     OO 

51  24 

49  57 

4832 

47  10 

45  50 

44  32 

43  15 

42  02 

4050 

39  39 

3831 

37  25 

2     00 

lO 

53  18 

51  53 

50  29 

49  08 

47  49 

46  31 

45  15 

44  02 

42  49 

41  38 

40  29 

39  22 

10 

20 

54  59 

5336 

52  15 

50  54 

49  36 

48  19 

47  03 

45  49 

44  37 

43  26 

42  17 

41  09 

20 

30 

56  30 

5508 

5348 

52  29 

51  12 

49  56 

48  41 

47  28 

46  16 

45  05 

43  55 

42  47 

30 

40 

57  49 

56  29 

55  II 

53  54 

52  38 

51  23 

50  09 

4856 

47  45 

46  34 

45  25 

44  17 

40 

50 

59  00 

57  42 

56  25 

55  10 

53  54 

52  41 

51  28 

50  16 

49  06 

47  55 

46  46 

45  39 

50 

3     OO 

60  02 

5846 

57  32 

56  17 

55  04 

53  51 

52  39 

51  28 

50  18 

49  09 

48  00 

46  53 

3     00 

lO 

6058 

59  44 

58  30 

57  18 

5606 

54  54 

53  44 

52  33 

51  24 

50  15 

49  07 

48  00 

10 

20 

61   47 

60  35 

59  22 

58  II 

57  01 

55  50 

54  41 

53  31 

52  23 

51  15 

50  08 

49  01 

20 

.  30 

62  31 

61  20 

60  09 

5859 

57  50 

5640 

55  31 

54  24 

53  15 

52  09 

51  03 

49  56 

30 

40 

63  09 

61  59 

60  50 

59  41 

58  33 

57  25 

56  17 

55  10 

54  03 

52  57 

51  51 

50  45 

•    *S 

50 

63  43 

62  35 

61  26 

60  19 

59  12 

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5658 

55  52 

5446 

5340 

52  35 

51  29 

50 

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64  13 

63  05 

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57  34 

56  28 

55  23 

54  18 

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52  09 

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63  33 

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59  37 

58  32 

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57  53 

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64  31 

63  27 

62  25 

61  22 

60  19 

59  16 

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56  08 

55  06 

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40 

50 

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64  44 

63  41 

62  39 

61  37 

60  35 

59  33 

5831 

57  28 

56  26 

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54  22 

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6558 

64  55 

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66  04 

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20 

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39  28 

38  20 

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35  07 

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31  16 

30  23 

29  31 

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30 

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36  40 

35  33 

34  29 

33  28 

32  27 

31  29 

30  33 

29  39 

28  46 

27  56 

27  07 

30 

40 

34  42 

33  37 

32  33 

31  31 

30  31 

29  34 

28  19 

27  47 

2656 

26  06 

25  19 

24  33 

40 

50 

31  18 

30  15 

29  15 

28  17 

27  22 

26  29 

2538 

24  50 

24  03 

23  17 

22  34 

21  52 

50 

11     OO 

27  35 

26  37 

25  43 

24  50 

23  59 

23  II 

22  26 

21  42 

2059 

20  19 

19  40 

19  02 

11     00 

lO 

23  35 

22  43 

21  54 

21  08 

20  23 

1942 

19  01 

18  24 

17  46 

17  12 

1638 

16  05 

10 

20 

19  18 

18  34 

17  52 

17  13 

1637 

16  01 

15  28 

14  56 

14  25 

13  56 

13  28 

13  01 

20 

30 

14  44 

14  09 

13  37 

13  06 

12  37 

12  10 

II  44 

II  19 

10  56 

10  34 

10  12 

9  51 

SO 

40 

9  57 

9  34 

9  " 

-849 

8  30 

8  II 

7  53 

7  37 

7  21 

7  05 

651 

637 

40 

50 

5  01 

4  49 

438 

4  27 

4  16 

4  oS 

3  58 

3  49 

3  42 

3  34 

326 

3  19 

50 

la     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Jforth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  "West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  risitig  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  augle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 

41224°— 16 2 


18 


AZIMUTH  OR  TRUE  BEARING. 


liATlTlDE  3 

°. 

DECLINATION- 

-SAME  NAME  AS— I^ATITUDE. 

1 
LATITUDE  3°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

470 

Hour  Angle. 

h. 

m. 

O       ' 

0    / 

0    ' 

0    / 

0    t 

0    ' 

0    1 

0    / 

0    ' 

0    ' 

0    ' 

Ii.           m. 

o 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0          00 

lO 

3  41 

3  34 

3  25 

3  18 

3  II  • 

3  03 

2  57 

2  49 

2  44 

238 

2  33 

2  27 

10 

20    ■ 

7  23 

7  05 

6  50 

6  34 

6  20 

6  06 

5  "^2 

5  40 

5  27 

5  16 

5  04 

4  54 

20    1 

30 

10  58 

10  33 

10  09 

9  47 

c  26 

9  05 

846 

8  26 

8  08 

7  51 

7  34 

7  18 

30 

40 

14  27 

13  55 

13  25 

12  55 

12  27 

12  00 

II  35 

II  10 

10  46 

10  23 

10  01 

9  40 

40 

50 

17  48 

17  09 

16  32 

15  56 

15  23 

14  51 

14  19 

13  49 

13  20 

12  52 

12  25 

II  59 

60 

1 

OO 

20  59 

20  14 

19  32 

18  51 

18  II 

17  34 

16  57 

16  22 

15  49 

15  16 

14  45 

14  14 

1           00 

lO 

24  00 

23  10 

22  23 

21  37 

20  53 

20  II 

19  29 

18  50 

18  12 

17  35 

17  00 

16  24 

10 

20 

26  49 

25  56 

25  05 

24  15 

23  26 

22  40 

21  55 

21  11 

20  29 

19  48 

19  08 

18  32 

20 

30 

29  28 

28  32 

27  36 

26  43 

25  51 

25  02 

24  13 

23  26 

22  41 

21  56 

21  13 

20  31 

30 

40 

31  56 

30  57 

29  59 

29  02 

28  08 

27  15 

26  23 

25  33 

24  45 

23  57 

23  n 

22   27 

40 

50 

34  13 

33  " 

32  II 

31  12 

30  15 

29  20 

28  26 

27  33 

26  42 

25  52 

25  04 

24  15 

SO 

2 

OO 

36  19 

35  16 

34  14 

33  14 

32  15 

31  17 

30  21 

29  27 

28  34 

27  41 

26  49 

25  59 

2          00 

lO 

38  15 

37  11 

36  07 

35  06 

34  05 

33  07 

32  09 

31   12 

30  17 

29  23 

28  29 

2837 

10 

20 

40  02 

38  57 

37  53 

36  50 

35  48 

34  48 

33  48 

32  51 

31  54 

3058 

30  03 

29  09 

20 

30 

41  41 

40  35 

39  30 

38  27 

37  24 

36  22 

35  22 

34  23 

33  25 

32  27 

31  31 

30  36 

30 

40 

43  10 

42  04 

40  59 

39  54 

3852 

37  50 

3549 

35  48 

34  50 

33  51 

32  53 

31  57 

40 

50 

44  31 

43  25 

42  20 

41   16 

40  12 

39  09 

38  08 

37  07 

36  07 

35  08 

34  09 

33  12 

50 

3 

OO 

45  46 

44  39 

43  34 

42  30 

41  26 

40  24 

39  21 

38  20 

37  19 

36  19 

35  20 

34  23 

3           00 

lO 

46  53 

45  47 

44  42 

43  38 

42  34 

41  32 

40  29 

39  27 

38  26 

3726 

36  26 

35  28 

10 

20 

47  55 

46  50 

45  45 

44  40 

43  36 

42  34 

41  31 

40  29 

39  27 

38  27 

37  27 

36  27 

20 

30 

48  50 

47  45 

46  40 

45  36 

44  33 

43  30 

42  27 

41  25 

40  24 

39  23 

38  22 

37  22 

30 

40 

49  39 

48  35 

47  32 

4627 

45-23 

44  21 

43  18 

42  16 

41  14 

40  13 

39  12 

38  12 

40 

50 

50  25 

49  2' 

48  17 

47  13 

46  10 

45  07 

44  05 

43  02 

42  01 

40  59 

39  59 

3858 

50 

4 

OO 

51  04 

50  01 

4857 

47  54 

4^  51 

45  49 

44  46 

43  44 

42  43 

41  41 

40  40 

39  40 

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51  40 

50  37 

49  33 

48  31 

47  28 

46  26 

45  24 

44  21 

43  20 

42  19 

41  18 

40  17 

10 

20 

52  II 

51  08 

50  06 

49  03 

48  00 

4658 

45  56 

44  55 

43  54 

42  52 

41  5I' 

40  51 

20 

30 

52  38 

51  35 

50  33 

49  31 

48  29 

47  27 

46  25 

45  23 

44  22 

43  21 

42  20 

41  20 

30 

40 

53  01 

51  59 

50  57 

49  55 

48  54 

47  52 

46  50 

45  49 

44  48 

43  46 

42  45 

41  45 

40 

50 

53  21 

52  18 

51-17 

50  15 

49  14 

48  13 

47  11 

46  10 

45  09 

44  08 

43  07 

42  06 

50 

5 

OO 

53  36 

52  35 

51  34 

50  32 

49  31 

48  30 

47  29 

46  28 

45  28 

44  26 

43  25 

42  24 

5           00 

lO 

53  48 

52  48 

51  47 

50  45 

49  45 

48  44 

47  43 

46  42 

45  41 

44  41 

43  40 

42  40 

10 

20 

53  58 

52  57 

51  57 

50  55 

49  55 

48  55 

47  53 

46  53 

45  53 

44  52 

43  51 

42  50 

20 

30 

54  03 

53  03 

52  03 

51  02 

50  02 

49  01 

48  00 

47  00 

46  00 

44  59 

43  59 

42  59 

30 

40 

54  06 

53  06 

52  06 

51  06 

50  05 

49  05 

48  05 

47  04 

46  04 

45  04 

44  03 

43  03 

40 

50 

54  06 

53  06 

.52  06 

51  06 

50  05 

49  05 

48  05 

47  05 

46  05 

45  05 

44  05 

43  05 

50 

6 

OO 

54  02 

53  02 

52  02 

51  02 

50  02 

49  02 

48  02 

47  02 

46  02 

45  03 

44  03 

43  03 

6           00 

lO 

53  56 

52  56 

51  56 

50  56 

49  56 

48  56 

47  56 

46  56 

45  56 

44  57 

43  57 

42  57 

10 

20 

53  46 

52  46 

51  46 

50  47 

49  47 

48  47 

47  47 

46  48 

45  48 

44  49 

43  48 

42  49 

20 

30 

53  33 

52  33 

51  34 

50  34 

49  34 

48  34 

47  35 

46  35 

45  35 

44  36 

43  37 

42  37 

30 

40 

53  17 

52  17 

51  17 

50  18 

49  18 

48  18 

47  19 

46  19 

45  20 

44  21 

43  22 

42  22 

40 

50 

52  57 

51  58 

5058 

4958 

48  59 

48  00 

47  00 

46  01 

45  02 

44  02 

43  02 

42  04 

50 

7 

OO 

52  35 

51  35 

50  36 

49  36 

4836 

47  36 

46  37 

45  38 

44  39 

43  40 

42  40 

41  42 

7           00 

10 

.52  09 

51  09 

50  JO 

49  09 

48  10 

47  II 

46  12 

45  12 

44  13 

43  14 

42  15 

41   16 

10 

20 

51  39 

50  39 

49  40 

48  40 

47  40 

46  41 

45  42 

44  43 

43  44 

42  45 

41  46 

40  48 

20 

30 

51  c6 

50  05 

49  07 

48  07 

47  07 

46  08 

45  09 

44  <59 

Ai  11 

42  13 

41  14 

40  16 

30 

40 

50  29 

49  28 

48  29 

47  30 

46  31 

45  31 

44  32 

43  33 

42  35 

41  36 

40  38 

39  40 

40 

50 

49  47 

48  47 

47  48 

46  49 

45  49 

44  50 

43  51 

42  52 

41  54 

40  56 

39  59 

39  01 

50 

8 

OO 

49  02 

48  02 

47  02 

46  03 

45  04 

44  05 

43  06 

42  08 

41  10 

40  12 

39  15 

38  18 

8           00 

lO 

48  13 

47  13 

46  13 

45  13 

44  14 

43  16 

42  17 

41  20 

40  22 

39  24 

38  27 

37  30 

10 

20 

47  19 

46  18 

45  19 

44  19 

43  21 

42  23 

41  24 

40  26 

39  29 

38  32 

37  35 

36  39 

20 

30 

46  20 

45  20 

44  20 

43  21 

42  22 

41  24 

40  26 

39  29 

38  32 

37  36 

36  40 

35  45 

30 

40 

45  15 

44  16 

43  16 

42  18 

41  19 

40  21 

39  23 

38  27 

37  31 

36  35 

35  40 

34  45 

40 

50 

44  06 

43  06 

42  07 

41  09 

40  11 

39  13 

3816 

37  20 

36  25 

35  29 

34  35 

33  41 

50 

» 

OO 

42  50 

4'  50 

40  52 

39  54 

38  57 

38  00 

37  03 

3608 

35  14 

34  19 

3326 

32  33 

»           00 

lO 

41  29 

40  30 

39  31 

38  34 

37  38 

36  42 

35  46 

34  52 

3358 

33  05 

32  12 

31  20 

10 

20 

40  01 

39  02 

3805 

37  09 

36  12 

35  18 

34  23 

33  30 

32  37 

31  45 

30  53 

30  04 

20 

30 

38  27 

37  28 

36  32 

35  36 

34  42 

33  47 

32  54 

32  03 

31  II 

30  21 

29  31 

28  42 

30 

40 

36  44 

3548. 

34  52 

33  58 

33  05 

32  12 

31  20 

30  29 

29  39 

28  51 

28  03 

27  16 

40 

50 

34  55 

33  59 

33  06 

32  12 

31  20 

30  30 

29  40 

28  51 

28  03 

27  16 

26  29 

25  44 

50 

lO 

OO 

32  58 

32  04 

31  12 

30  21 

29  31 

28  42 

27  54 

27  07 

26  20 

25  36 

2451 

24  08 

10           00 

lO 

30  53 

30  01 

29  12 

28  22 

27  34 

26  47 

26  02 

25  16 

24  33  - 

23  50 

23  08 

22  28 

10 

20 

28  40 

27  51 

27  05 

26  16 

25  32 

24  47 

24  03 

23  21 

22  41 

22  00 

21  21 

20  43 

20 

30 

26  18 

25  33 

24  48 

24  04 

23  21 

22  40 

21  59 

21  20 

20  42 

20  05 

19  28 

1843 

30 

40 

23  49 

23  06 

22  25 

21  45 

21  05 

20  27 

19  50 

19  14 

18  39 

18  05 

17  31 

16  59 

40 

50 

21  12 

20  33 

19  55 

19  17 

1843 

18  08 

17  35 

17  03 

16  31 

16  01 

15  30 

15  02 

50 

11 

OO 

:8  27 

17  51 

17  18 

16  46 

16  15 

15  44 

15  15 

14  46 

14  18 

13  52 

13  25 

13  00 

11            00 

lO 

15  35 

15  04 

14  35 

14  07 

13  41 

13  15 

12  50 

12    25 

12  02 

11  39 

II  16 

10  55 

10 
20 

20 

12  35 

12  II 

II  47 

II  24 

II  02 

10  41 

10  21 

10  01 

9  42 

9  23 

9  05 

8  48 

;30 

9  32 

9  13 

855 

8  37 

8  20 

8  05 

7  49 

7  33 

7  19 

7  05 

^^1 

6  38 

30. 

40 

50 

13           00 

40 

6  24 

6  II 

5  59 

5  47 

536 

5  24 

5  4 

5  04 

4  54 

4  44 

4  36 

4  26 

50 

3  17 

3  07 

3  00 

2  54 

2  48 

2  43 

238 

2  32 

2  27 

2  23 

2  18 

2  13 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  dlfTerent  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  tje  taken  for  the  required  true  t>eariug. 


19 


AZIMUTH    OR    TRUE    BEARING. 


LATITUDE  3 

o. 

DECLINATION- 

-SAME  NAME  AS— I.ATITUDE. 

LATITUDE  3°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56" 

57° 

58° 

59° 

Hoar  Angle. 

h. 

lU. 

o     > 

0    / 

0    / 

0    / 

0    / 

0    1 

0    / 

0    > 

0    / 

0    / 

0    ' 

0    / 

li.           m. 

O 

OO 

o  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0             00 

lO 

2   22 

2  16 

2  II 

2  07 

2  02 

158 

I  53 

I  50 

I  45 

I  41 

I  37 

I  33 

10 

20 

4  43 

4  33 

4  23 

4  13 

4  04 

3  55 

3  47 

338 

3  29 

3  22 

3  13 

3  05 

20 

30 

7  02 

647 

6  32 

6  18 

6  05 

551 

538 

526 

5  ^ 

5  02 

4  49 

4  38 

30 

40 

9  20 

9  00 

8  41 

8  22 

8  03 

7  46 

7  29 

7  12 

656 

6  40 

624 

6  10 

40 

50 

II  34 

II  09 

10  46 

10  23 

10  00 

938 

9  17 

857 

837 

8  17 

758 

7  40 

50 

1 

OO 

13  44 

13  16 

12  48 

12  20 

II  55 

II  29 

II  03 

10  39 

10  15 

9  52 

930 

9  08 

1           00 

lO 

15  51 

15  18 

14  46 

14  16 

13  45 

13  16 

12  48 

12  19 

II  53 

II  26 

1059 

10  34 

10 

20 

17  53 

17  17 

16  41 

16  07 

15  33 

15  00 

14  28 

13  57 

13  27 

12  57 

12  27 

II  59 

30 

30 

19  5° 

19  10 

18  31 

17  54 

17  17 

16  41 

16  06 

1532 

\t^ 

14  25 

13  52 

13  21 

30 

40 

21  43 

20  59 

20  18 

1937 

18  57 

18  18 

17  40 

17  03 

15  50 

15  15 

14  40 

40 

50 

23  29 

22  43 

21  59 

21  16 

20  33 

19  52 

19  la 

18  30 

17  51 

17  12 

16  34 

15  57 

50 

2 

OO 

25  II 

24  23 

23  35 

22  50 

22  04 

21  21 

20  37 

20  55 

19  13 

18  32 

17  51 

17  11 

2           00 

lO 

26  47 

25  57 

25  08 

24  20 

23  32 

22  45 

21  59 

21  15 

20  31 

19  48 

19  04 

18  22 

10 

20 

28  16 

27  25 

26  34 

25  44 

24  55 

24  06 

23  18 

22  31 

21  46 

20  59 

20  14 

19  31 

20 

30 

29  42 

28  48 

^7  55 

27  03 

26  13 

25  23 

24  33 

23  44 

22  56 

22  09 

21  21 

20  36 

30 

40 

31  01 

30  06 

29  12 

28  19 

27  26 

26  34 

25  43 

24  53 

24  04 

23  14 

22  25 

21  38 

40 

50 

32  16 

31  20 

30  24 

29  30 

2835 

27  43 

26  50 

25  57 

25  06 

24  15 

23  25 

22  36 

50 

3 

OO 

33  25 

32  28 

31  31 

3035 

2940 

2845 

27  52 

26  5S 

26  06 

25  14 

24  22 

23  31 

3           00 

lO 

34  29 

33  31 

32  34 

31  37 

30  41 

29  46 

28  50 

27  56 

27  02 

26  09 

25  15 

24  23 

10 

20 

3528 

34  30 

33  31 

32  34 

31  37 

30  40 

29  44 

28  49 

27  55 

26  59 

26  05 

25  12 

20 

30 

36  22 

35  23 

34  24 

33  27 

32  29 

31  31 

30  34 

2938 

28  42 

27  47 

26  51 

25  57 

30 

40 

37  14 

36  13 

35  13 

34  15 

33  16 

32  19 

31  21 

30  24 

29  28 

28  31 

27  35 

26  39 

40 

50 

37  57 

■  3658 

3558 

34  59 

34  00 

33  02 

32  03 

31  06 

3009 

29  II 

28  14 

27  18 

50 

4 

OO 

38  40 

37  39 

36  39 

35  40 

34  40 

33  41 

32  43 

31  44 

30  47 

29  49 

28  51 

27  54 

4           00 

10 

39  16 

38  16 

37  16 

36  16 

35  17 

34  17 

33  18 

32  19 

31  21 

30  23 

29  24 

28  26 

10 

20 

3950 

3849 

37  49 

3649 

35  49 

34  49 

33  50 

32  51 

31  52 

30  53 

2954 

28  56 

20 

30 

40  18 

39  18 

38  17 

37  18 

36  17 

35  18 

34  18 

33  19 

32  19 

31  20 

30  20 

29  22 

30 

40 

40  44 

39  44 

38  43 

37  43 

36  42 

35  43 

36  04 

34  42 

33  43 

32  43 

31  44 

30  44 

29  45 

40 

50 

41  06 

40  05 

39  05 

3805 

37  05 

35  04 

34  04 

33  04 

32  04 

31  04 

30  06 

50 

.5 

OO 

41  24 

40  24 

39  24 

3823 

37  22 

36  22 

35  22 

34  22 

33  22 

32  22 

31  22 

30  22 

5           00 

lO 

41  39 

40  39 

3938 

3837- 

37  37 

36  37 

35  36 

34  36 

33  36 

32  36 

3136 

3037 

10 

20 

41  51 

40  50 

39  50 

38  49 

37  48 

36  49 

35  48 

34  48 

3348 

32  47 

31  47 

30  47 

20 

30 

41  58 

4058 

3958 

3857 

37  57 

36  57 

3556 

34  56 

33  57 

32  56 

31  55 

30  55 

30 

40 

42  03 

41  02 

40  02 

39  02 

38  02 

37  01 

36  01 

35  01 

34  02 

33  01 

32  01 

31  00 

40 

50 

42  05 

4;  04 

40  04 

3904 

38  04 

37  04 

3604 

35  04 

3404 

33  03 

32  03 

31  02 

50 

6 

OO 

42  03 

41  02 

40  02 

|i^ 

3803 

37  02 

36  02 

'   35  02 

34  03 

33  02 

32  02 

31  03 

6           00 

10 

41  57 

40  57 

39  57 

37  57 

3658 

3558 

3458 

33  59 

32  58 

31  59 

30  59 

10 

20 

41  49 

4050 

39  49 
3938 

3850 

37  50 

36  50 

35  50 

34  51 

33  51 

32  51 

31  52 

30  52 

20 

30 

41  37 

4038 

38  39 

37  39 

36  40 

35  40 

34  40 

33  42 

32  42 

31  42 

30  43 

30 

40 

41    22 

40  23 

39  24 

38  25 

37  25 

36  26 

35  26 

34  27 

33  29 

32  29 

31  29 

30  31 

40 

50 

41  05 

40  05 

39  06 

38  07 

37  08 

36  09 

35  10 

34  II 

33  12 

32  13 

31  15 

30  15 

50 

7 

OO 

40  43 

39.44 

38  45 

37  47 

36  47 

35  49 

34  50 

33  52 

32  54 

31  54 

30  56 

2958 

7           00 

lO 

40  18 

39  19 

38  21 

37  22 

36  24 

35  26 

34  27 

33  29 

32  31 

31  33 

30  35 

29  37 

.  1® 

20 

39  49 

38  51 

37  52 

36  55 

35  56 

3458 

34  01 

33  03 

3205 

31  08 

30  10 

29  13 

20 

30 

39  17 

38  19 

37   2! 

36  24 

35  26 

34  29 

33  31 

32  34 

31  38 

30  40 

29  43 

2847 

30 

* 

40 

3842 

37  44 

36  47 

35  50 

34  53 

33  57 

32  59 

32  03 

31  06 

30  10 

29  13 

28  17 

40 

50 

38  03 

37  06 

36  09 

35  12 

34  16 

33  19 

32  23 

31  27 

30  31 

29  35 

28  40 

27  45 

50 

8 

OO 

37  20 

36  24 

35  27 

34  31 

33  35 

32  39' 

31  43 

30  49 

29  54 

^59 

28  04 

27  09 

8            00 

lO 

36  33 

3538 

3442 

33  46 

32  51 

31  56 

31  01 

30  06 

29  12 

28  28 

28  18 

27  25 

26  32 

10 

20 

35  43 

3448 

33  52 

3258 

32  03 

31  09 

30  15 

29  22 

27  35 

26  43 

25  50 

20 

30 

34  48 

33  54 

32  59 

32  06 

31  12 

30  19 

29  26 

28  33 

27  41 

26  49 

25  57 

25  06 

30 

40 

33  50 

32  56 

32  03 

31  10 

30  17 

29  25 

28  32 

27  42 

26  50 

26  00 

25  09 

24  iS 

40 

50 

32  47 

31  54 

31  02 

30  11 

29  18 

28  27 

27  36 

26  47 

25  56 

25  07 

24  17 

23  29 

50 

9 

OO 

31  40 

30  49 

=^58 

29  07 

28  15 

27  26 

26  37 

25  47 

24  59 

24  II 

23  23 

22  36 

9           00 

lO 

30  28 

29  38 

2848 

27  59 

27  10 

26  21 

25  33 

24  45 

23  59 

23  12 

22  26 

21  40 

10 

20 

29  15 

28  24 

2735 

2647 

26  00 

25  13 

24  26 

23  41 

22  55 

22  10 

21  26 

20  42 

20 

30 

27  53 

27  05 

26  18 

25  32 

24  46 

24  00 

23  15 

22  32 

21.49 

21  05 

20  21 

19  40 

30 

40 

26  28 

25  42 

24  57 

24  13 

23  28 

22  45 

22  02 

21  19 

20  38 

^2  57 

19  16 

1835 

40 

50 

2458 

24  14 

23  32 

22  49 

22  06 

21  25 

2044 

30  04 

19  25 

iS  46 

18  07 

17  29 

50 

lO 

OO 

23  25 

22  43 

22  02 

21  22 

20  42 

20  02 

19  24 

18  46 

18  09 

17  32 

1656 

16  19 

10          00 

lO 

21  47 

21  08 

20  29 

19  51 

19  13 

18  36 

18  00 

17  25 

16  50 

16  14 

15  41 

15  07 

10 

20 

20  05 

19  28 

18  51 

18  16 

17  41 

17  07 

16  33 

16  01 

15  28 

14  56 

14  24 

13  .54 

20 

30 

18  18 

17  43 

17  10 

16  38 

16  05 

15  35 

15  03 

14  33 

14  04 

13  34 

13  05 

12  37 

30 

40 

16  27 

15  56 

15  25 

14  56 

14  27 

13  59 

13  31 

13  03 

12  36 

12  10 

11  43 

II  18 

40 

50 

14  33 

14  05 

1338 

13  12 

12  45 

12  20 

11  55 

II  31 

ri  07 

10  43 

10  20 

958 

50 

11 

OO 

12  34 

12  10 

II  47 

II  24 

II  02 

10  40 

10  18 

2  57 

9  35 

9  15 

855 

8  36 

11           00 

lO 

10  35 

10  14 

9  ^ 

9  34 

9  15 

856 

8  38 

8  20 

7  46 

728 

7  12 

10 

20 

831 

8  14 

7  42 

7  27 

7  II 

656 

6  42 

6  28 

614 

6  01 

5  47 

20 

30 

6  26 

6  12 

6  00 

548 

536 

5  25 

5  14 

5  03 

4  53 

4  42 

4  31 

4  21 

30 

40 

4  17 

4  09 

4  01 

3  52 

3  45 

3  37 

3  29 

3  23 

3  '5 

308 

3  02 

^  55 

40 

50 

2  09 

2  04 

2  01 

I  57 

I  53 

I  49 

I  45 

I  41 

I  38 

'  35 

I  31 

1  28 

60 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12           00 

In  >'ortIi  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  Xorth  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  derllnatlon  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


20 


AZIMUTH  OR  TRUE  BEARING. 


liAXlTUDE  3 

o. 

DECI,INATION-SAME  NAME  AS- 

-LATITUDE. 

liATITUDE  3°. 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

6»° 

70° 

Hour  Angle. 

li. 

m. 

o  / 

0  r 

0  / 

0  ' 

0  ' 

0  ' 

c  / 

0  / 

0  / 

0  / 

0  / 

li.    ni. 

O 

OO 

O  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

I  29 

I  26 

I  22 

1  19 

I  15 

I  12 

I  08 

I  05 

I  02 

0  58 

0  55 

10 

20 

2  59 

2  51 

2  44 

2  37 

2  30 

2  23 

2  16 

2  10 

2  04 

I  58 

I  51 

20 

30 

4  27 

4  16 

4  05 

3  54 

3  45 

3  34 

3  24 

3  15 

3  05 

256 

2  46 

30 

40 

5  54 

5  40 

5  25 

5  12 

4  59 

■4  45 

4  31 

4  19 

4  06 

3  53 

3  42 

40 

60 

7  20 

7  03 

6  45 

6  29 

6  II 

5  55 

538 

5  23 

506 

4  51 

4  36 

50 

1 

OO 

8  45 

8  24 

8  03 

7  43 

7  23 

,  7  03 

6  44 

625 

6  06 

548 

5  29 

1     00 

lO 

10  09 

9  44 

9  20 

857 

833 

8  II 

7  49 

7  26 

7-05 

6  44 

6  22 

10 

20 

II  30 

II  02 

10  35 

10  08 

9  42 

9  17 

851 

827 

8  03 

738 

7  14 

20 

-  30 

12  49 

12  19 

II  49 

11  19 

10  50 

10  21 

9  53 

9  26 

859 

832 

8  04 

30 

40 

14  06 

13  33 

13  00 

12  28 

II  56 

II  25 

10  54 

10  23 

9  53 

9  24 

855 

40 

50 

15  20 

14  44 

14  09 

13  34 

12  59 

12  26 

II  52 

II  19 

10  47 

10  15 

9  43' 

50 

2 

OO 

16  32 

15  54 

15  15 

14  38 

14  02 

13  25 

12  49 

12  14 

II  39 

II  04 

10  30 

2    00 

lO 

17  41 

17  00 

16  20 

15  40 

15  00 

14  22 

13  44 

13  06 

12  29 

II  52 

II  15 

10 

20 

18  47 

i8  03 

17  21 

16  39 

1558 

15  18 

14  36 

13  57 

13  17 

12  38 

11  59 

20 

30 

19  49 

19  05 

18  21 

17  36 

16  53 

16  10 

15  28 

14  45 

14  04 

•  13  23 

12  42 

30 

40 

20  49 

20  03 

19  16 

18  30 

17  45 

17  00 

16  16 

15  32 

14  49 

14  05 

13  23 

40 

50 

21  47 

20  58 

20  10 

19  22 

1835 

17  49 

17  02 

i6  17 

15  31 

14  46 

14  02 

50 

3 

OO 

22  40 

21  50 

21  00 

20  II 

19  72 

1835 

17  46 

16  59 

16  12 

15  25 

1438 

3    00 

lO 

23  31 

22  39 

21  48 

20  58 

20  07 

19  18 

18  28 

17  39 

16  50 

16  02 

15  13 

10 

20 

24  18 

23  25 

22  33 

21  41 

20  49 

19  59 

19  07 

18  17 

17  27 

16  37 

15  47 

20 

30 

25  02 

24  09 

23  15 

22  22 

21  29 

20  37 

19  45 

18  52 

18  00 

17  10 

16  18 

30 

'   40 

25  44 

24  49 

23  54 

23  00 

22  05 

21  12 

20  19 

19  26 

1833 

17  40 

16  48 

40 

50 

26  22 

25  26 

24  30 

23  35 

22  40 

21  45 

20  51 

19  56 

19  02 

18  09 

17  16 

50 

4 

OO 

2656 

^26  00 

25  04 

24  08 

23  11 

22  16 

21  20 

20  25 

19  30 

1835 

17  40 

4    00 

lO 

27  29 

.26  31 

25  34 

24  37 

23  40 

22  44 

21  48 

20  51 

19  55 

19  00 

18  04 

10 

20 

27  57 

27  00 

26  02 

25  04 

24  06 

23  10 

22  12 

21  15 

20  18 

19  21 

18  25 

20 

30 

28  23 

27  25 

26  26 

25  27 

24  30 

23  32 

22  34 

21  37 

2038 

19  41 

18  44 

30 

40 

28  46 

27  47 

26  48 

25  49 

24  51 

23  52 

22  54 

21  56 

20  57 

20  00 

19  02 

40 

50 

29  06 

28  06 

27  07 

26  08 

25  08 

24  10 

23  II 

22  12 

21  14 

20  15 

19  16 

50 

5 

OO 

29  23 

28  23 

27  23 

26  23 

25  24 

24  25 

23  27 

22  26 

21  27 

20  29 

19  29 

5    00 

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18  24 

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9  54 

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8  38 

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6  48 

6  28 

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7  38 

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7  02 

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5  34 

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6  56 

6  40 

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538 

5  24 

5  09 

4  54 

4  40 

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5  21 

5  09 

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4  44 

4  31 

4  19 

4  08 

3  56 

3  45 

3  34 

20 
30 
40 

30 

4  II 

4  01 

3  53 

3  43 

3  33 

3  24 

3  15 

3  06 

2  57 

2  49 

2  40 

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2  48 

2  41 

2  35 

2  29 

2  23 

2  17 

2  II 

2  05 

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I  53 

I  47 

50 

I  24 

I  21 

I  17 

I  14 

I  11 

I  08 

I  05 

I  02 

0  59 

0  56 

0  53 

60 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  Star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


21 


AZIMUTH   OR  TRUE    BEARING. 


I^ATITI'DE  4 

o^ 

DECLINATION- 

SAME  NAME  AS— LATITUDE. 

1 
1.ATITUDE  4='. 

1 
Honr  . 

\ngle. 

24° 

25° 

26° 

27° 

28° 

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31° 

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34° 

35° 

Honr  Angle. 

li. 

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10  43 

10  13 

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20 

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38  32 

37  01 

35  36 

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32  57 

31  43 

30  33 

29  27 

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27  22 

26  23 

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20 

42  05 

40  34 

39  05 

37  41 

36  20 

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33  49 

32  39 

31  31 

30  26 

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20 

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43  41 

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31  06 

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51  48 

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61  42 

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30 

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62  15 

61  15 

60  13 

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58  13 

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63  04 

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61  25 

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63  00 

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53  58 

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60  28 

59  28 

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53  53 

52  52 

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30 

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61  23 

60  21 

59  19 

58  17 

57  17 

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55  14 

54  14 

53  13 

52  13 

51  14 

40 

50 

61  46 

60  43 

59  41 

5839 

57  37 

5636 

55  34 

54  33 

53  32 

52  31 

51  31 

50  31 

50 

8 

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61  03 

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57  54 

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55  51 

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53  47 

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51  45 

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58  20 

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55  09 

54  06 

53  03 

52  01 

51  00 

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47  58 

20 

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57  24 

56  18 

55  14 

54  10 

53  07 

52  04 

51  02 

50  00 

48  59 

47  58 

46  57 

30 

40 

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56  21 

55  15 

54  10 

53  05 

52  02 

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4956 

48  54 

47  53 

46  53 

45  52 

40 

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56  20 

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53  01 

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50  52 

49  48 

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46  41 

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44  40 

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52  50 

51  44 

50  39 

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53  44 

52  36 

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43  00 

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10 

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52  15 

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47  45 

46  40 

45  36 

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43  32 

42  31 

41  31 

40  31 

20 

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5038 

49  29 

48  20 

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46  06 

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43  58 

42  55 

41  54 

40  53 

39  53 

3855 

30 

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48  51 

47  41 

46  32 

45  24 

44  19 

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41  08 

40  08 

39  07 

38  09 

37  12 

40 

50 

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45  44 

44  34 

43  27 

42  22 

41  18 

40  15 

39  13 

38  14 

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36  17 

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44  44 

43  35 

42  26 

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38  10 

37  10 

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35  13 

34  17 

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42  23 

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37  56 

36  54 

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34  55 

3358 

33  02 

32  09 

31  16 

10 

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39  47 

38  40 

37  33 

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34  27 

33  29 

32  32 

31  37 

30  43 

29  52 

29  01 

20 

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35  51 

34  47 

33  46 

32  45 

31  48 

3052 

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29  06 

28  15 

27  26 

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32  48 

31  47 

30  48 

29  51 

2856 

28  03 

27  13 

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24  06 

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29  29 

28  31 

27  37 

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25  06 

24  19 

23  33 

22  49 

22  08 

21  27 

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26  50 

25  55 

25  03 

24  12 

23  25 

22  39 

21  55 

21  13 

20  32 

19  54 

19  16 

18  40 

11     00 

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22  55 

22  05 

21  19 

20  35 

19  53 

19  13 

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17  58 

17  22 

16  50 

16  17 

15  46 

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20 

18  42 

18  01 

17  22 

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16  10 

15  37 

15  04 

14  34 

14  06 

13  38 

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12  45 

20 

30 

14  16 

13  44 

13  12 

12  44 

12  17 

II  51 

II  26 

11  03 

10  41 

10  18 

958 

30 

40 

9  38 

9  15 

8  54 

835 

8  17 

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7  42 

7  25 

7  10 

655 

642 

40 

50 

4  51 

4  40 

4  29 

4  19 

4  10 

4  00 

3  52 

3  44 

336 

3  29 

3  21 

3  14 

SO 

12 

OO 

0  00 

0  CX3 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


22 


AZIMUTH  OR  TRUE  BEARING. 


I.AT1TUDE:  4 

o. 

DECIvINATION- 

-SAME 

NAME  AS— I^ATITUDE 

I^ATITDDE  4°. 

Hour  Angrle. 

36° 

373 

38° 

39° 

40° 

41° 

4a° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

Ii.    III. 

O   ' 

0  / 

0  / 

0  ' 

0  ' 

0  / 

0  ' 

0  ' 

d  / 

0  / 

0  r 

0  / 

li.   '  ni. 

O     OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

3  48 

3  40 

3  31 

3  23 

3  15 

308 

3  01 

2  54 

2  48 

2  42 

236 

2  29 

10 

20 

7  34 

7  17 

7  00 

6  44 

6  29 

6  14 

5  00 

5  47 

5  34 

5  21 

5  10 

4  59 

20 

30 

II  16 

10  50 

10  25 

10  02 

938 

9  17 

857 

837 

8  19 

8  00 

7  43 

726 

30 

40 

14  50 

14  16 

13  44 

13  14 

12  45 

12  17 

II  50 

II  24 

10  59 

10  36 

to  13 

9  51 

40 

50 

18  14 

17  34 

1656 

16  18 

15  43 

15  09 

14  36 

14  06 

13  35 

13  06 

12  39 

12  12 

50 

1     OO 

21  29 

20  43 

19  59 

19  16 

1835 

17  56 

17 18 

16  42 

16  06 

15  33 

15  00 

14  29 

1     00 

lO 

24  33 

23  42 

22  53 

22  05 

21  19 

20  35 

19  53 

19  II 

18  32 

17  54 

17  17 

16  42 

10 

SO 

27  26 

26  30 

25  36 

24  44 

23  55 

23  06 

22  20 

21  35 

20  51 

20  09 

19  28 

18  48 

20 

30 

30  06 

29  07 

28  10 

27  15 

26  21 

25  30 

24  39 

23  50 

23  04 

22  18 

21  34 

20  51 

30 

40 

32  34 

31  33 

30  33 

29  35 

28  39 

27  44 

26  51 

25  59 

25  09 

24  21 

23  33 

22  47 

40 

50 

34  52 

33  48 

32  47 

31  46 

30  47 

29  50 

28  54 

28  00 

27  07 

26  16 

25  26 

24  36 

50 

a   oo 

3658 

35  54 

34  50 

33  47 

32  47 

31  48 

30  50 

29  54 

2858 

28  05 

■^7   13 

26  21 

2     00 

lO 

38  54 

3748 

36  43 

35  39 

34  37 

33  37 

32  38 

31  39 

30  43 

29  47 

2853 

27  59 

10 

20 

40  40 

39  33 

3828 

37  23 

36  20 

35  18 

34  18 

33  18 

32  20 

31  23 

30  27 

29  32 

20 

SO 

42  17 

41  10 

40  04 

38  59 

37  55 

36  52 

35  51 

34  50 

33  51 

32  52 

31  54 

30  58 

30 

40 

43  45 

42  39 

41  32 

40  26 

39  21 

38  19 

37 16 

36  15 

35  14 

34  15 

33  17 

31  18 

40 

50 

45  05 

43  59 

42  52 

41  46 

40  41 

3938 

38  35 

37  32 

36  32 

35  32 

34  33 

33  34 

60 

3     00 

46  19 

45  12 

44  06 

42  59 

41  54 

40  51 

39  47 

38  45 

37  43 

36  43 

35  43 

34  43 

3     00 

10 

47  25 

46  18 

45  12 

44  06 

43  02 

41  58 

40  55 

39  51 

38  49 

37  49 

36  48 

35  47 

10 

20 

48  25 

47  18 

46  12 

45  07 

44  03 

42  59 

41 55 

40  52 

39  49 

38  48 

37  48 

3648 

20 

30 

49  18 

48  12 

47  07 

46  02 

44  57 

43  54 

42  50 

41  47 

40  44 

39  43 

38  42 

37  41 

30 

40 

50  06 

49  01 

47  57 

46  51 

45  47 

44  43 

43  45 

42  37 

41  34 

40  33 

39  32 

3830 

40 

50 

5049 

49  45 

48  40 

47  36 

46  31 

45  28 

44  26 

43  22 

42  19 

41  18 

40  16 

39  15 

50 

4     OO 

51  27 

50  24 

49  20 

48  15 

47  II 

46  08 

45  05 

44  03 

43  00 

41  59 

40  57 

39  56 

4     00 

lO 

52  01 

50  57 

49  54 

48  50 

47  47 

46  44 

45  41 

44  39 

43  36 

42  35 

41  34 

40  32 

10 

ao 

52  31 

51  27 

50  24 

49  21 

48  18 

47  15 

4*'  13 

45  10 

44  08 

43  07 

42  06 

40  04 

20 

30 

52  55 

51  53 

50  51 

49  47 

48  44 

47  43 

46  40  , 

45  38 

44  36 

43  35 

42  33 

41  32 

SO 

40 

53  17 

52  14 

51  12 

50  10 

49  08 

48  06 

47  04  ' 

46  02 

45  00 

43  59 

42  58 

41  56 

40 

50 

53  35 

52  33 

51  30 

50  29 

49  27 

48  26 

47  24 

46  22 

45  21 

44  19 

43  19 

42  17 

60 

5     OO 

53  49 

52  47 

51  45 

50  44 

49  42 

48  41 

47  39 

46  38 

45  37 

44  36 

43  35 

42  34 

5     00 

lO 

54  00 

52  58 

51  57 

50  55 

49  54 

48  53 

47  52 

46  51 

45  50 

44  49 

43  49 

42  48 

10 

ao 

54  06 

53  06 

52  05 

51  04 

50  03 

49  02 

48  02 

47  00 

45  59 

44  59 

4358 

42  59 

20 

30 

54  II 

53  10 

52  10 

51  09 

50  08 

49  08 

48  07 

47  07 

46  06 

45  05 

44  05 

43  04 

SO 

40 

54  II 

53  12 

52  II 

51  II 

50  10 

49  10 

4809 

47  09 

46  09 

45  08 

44  08 

43  07 

40 

50 

54  09 

53  09 

52  09 

51  09 

50  08 

49  09 

4808 

47  08 

46  07 

4508 

44  08 

4308 

60 

6     OO 

54  "4 

53  04 

52  05 

51  04 

50  04 

49  05 

48  04 

47  04 

46  04 

45  04 

44  05 

43  04 

6     00 

lO 

53  55 

52  56 

51  56 

50  55 

49  56 

4?  57 

47  57 

46  56 

45  57 

44  58 

43  58 

42  58 

10 

ao 

53  44 

52  44 

51  45 

50  45 

49  45 

48  46 

47  47 

46  46 

45  47 

44  47 

43  48 

42  48 

20 

30 

53  29 

52  30 

51  31 

50  31 

49  31 

4832 

47  32 

46  33 

45  33 

44  34 

43  35 

42  35 

SO 

40 

53  II 

52  13 

51  13 

50  13 

49  14 

48  14 

47  15 

46  16 

45  16 

44  17 

43  18 

42  19 

40 

50 

52  50 

51  51 

50  52 

49  53 

48  52 

47  54 

46  54 

45  55 

44  56 

43  57 

42  59 

-  41  59 

50 

7     OO 

52  26 

51  27 

■50  27 

49  28 

48  29 

47  30 

46  31 

45  32 

44  33 

43  34 

42  35 

41  37 

7     00 

lO 

51  58 

50  59 

50  00 

49  00 

48  01 

47  03 

46  04 

45  04 

44  06 

4308 

42  09 

41  10 

10 

ao 

51  27 

50  28 

49  29 

48  29 

47  30 

46  32 

45  33 

44  34 

43  36 

42  37 

41  39 

40  40 

20 

30 

50  53 

49  53 

48  54 

47  55 

46  56 

45  57 

44  58 

44  00 

43  01 

42  03 

41  05 

40  07 

SO 

40 

50  14 

49  14 

48  15 

47  16 

46  17 

45  i8 

44  20 

43  22 

42  24 

41  25 

40  29 

39  31 

40 

50 

49  31 

4831 

47  32 

46  33 

45  35 

44  37 

4338 

42  40 

41  42 

40  44 

39  47 

3850 

50 

8     OO 

4^44 

47  45 

46  46 

45  47 

44  49 

43  50 

42  52 

41  54 

40  56 

40  00 

39  03 

38  05 

8     00 

lO 

47  54 

46  54 

45  55 

44  56 

43  57 

43  00 

42  02 

41  04 

40  07 

39  II 

38  15 

H  'I 

10 

ao 

4658 

45  59 

45  00 

44  01 

43  02 

42  05 

41  07 

40  10 

39  14 

38  17 

37  22 

36.26 

20 

30 

45  57 

44  59 

43  59 

43  01 

42  03 

41  06 

40  08 

39  12 

38  16 

37  20 

3t'  25 

35  31 

SO 

40 

44  52 

43  53 

42  55 

41  56 

40  59 

40  02 

39  05 

3809 

3J  ^i 

36  19 

35  24 

34  30 

40 

50 

43  41 

42  42 

41  44 

40  46 

39  49 

38  53 

37  57 

37  02 

36  08 

35  13 

34  20 

33  26 

60 

9     OO 

42  24 

41  27 

40  29 

39  32 

3834 

37  39 

36  44 

35  50 

34  55 

34  03 

33  10 

32  17 

9     00 

lO 

41  02 

40  05 

39  07 

38  10 

37  15 

36  21 

35  26 

34  32 

33  39 

32  47 

31  56 

31  05 

10 

ao 

39  33 

38  36 

37  40 

36  44 

35  49 

34  55 

34  03 

33  10 

32  18 

31  28 

3038 

29  46 

20 

30 

37  58 

37  01 

3606 

35  II 

34  18 

3326 

32  33 

31  42 

30  52 

30  02 

29  13 

28  25 

SO 

40 

36  15 

35  20 

34  27 

33  33 

32  40 

31  49 

30  59 

30  09 

29  20 

28  32 

27  46 

26  58 

40 

so 

34  26 

33  32 

32  40 

31  48 

30  57 

30  08 

29  19 

28  31 

27  43 

26  58 

26  13 

25  27 

50 

lo   oo 

32  29 

31  37 

30  46 

29  56 

29  08 

28  20 

27  33 

26  47 

26  02 

25  18 

24  35 

23  52 

10     00 

lO 

30  25 

29  34 

28  46 

27  58 

27  II 

26  26 

25  41 

2458 

24  15 

23  33 

22  52 

22  12 

10 

ao 

28  12 

27  25 

26  39 

.  25  53 

25  08 

24  26 

23  44 

23  02 

22  22 

21  43 

21  05 

20  27 

20 

30 

25  52 

25  07 

24  24 

23  41 

23  00 

22  20 

21  41 

21  02 

20  25 

19  49 

19  14 

1839 

SO 

40 

23  23 

22  42 

22  02 

21  23 

20  45 

20  08 

19  33 

18  57 

18  23 

17  50 

17  18 

16  46 

40 

50 

20  48 

20  II 

19  34 

1859 

18  25 

17  51 

17  19 

16  49 

16  17 

15  47 

15  18 

14  49 

50 

11    oo 

18  05 

17  32 

16  59 

16  28 

15  58 

15  29 

15  00 

14  32 

14  06 

13  40 

13  14 

12  49 

11     00 

lO 

15  16 

14  47 

14  20 

13  52 

13  27 

13  02 

12  38 

12  14 

II  51 

11  29 

II  07 

10  46 

10 

ao 

12  21 

II  57 

II  35 

II  13 

10  51 

10  31 

10  II 

9  52 

9  33 

9  15 

8  58 

8  41 

20 

30 

9  20 

9  02 

8  44 

8  28 

8  12 

7  57 

7  41 

726 

7  13 

6-58 

6  45 

633 

SO 

40 

6  16 

6  03 

5  52 

5  40 

5  30 

5  19 

5  09 

4  59 

4  50 

4  40 

432 

4  22 

40 

50 

3  09 

3  02 

256 

2  51 

2  45 

2  40 

2  34 

2  30 

2  25 

2  20 

2  16 

2  12 

50 

12     oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

13     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


23 


AZIMUTH  OR  TRUE  BEARING. 


I4ATITUOE  4= 


DECLINATION— SAME  NAME  AS-LATITUDE. 


latititde:  4°. 


Hoar  Angle. 


48° 


h. 

O 


10 


11 


12 


ni. 
00 
10 
20 
30 
40 
50 

00 
10 
SO 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
SO 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
lO 
50 

00 
10 
20 

ao 
40 
50 

00 
10 
20 
30 
40 
50 
00 


o  00 

2    25 

448 

7  10 

9  29 

.11  45  ! 

1358 
16  06 
18  10 
20  09 

22  02 

23  49 

25  31 
27  07 
2837 

30  03 

31  22 

32  36 

33  44 

34  48 

35  47 

36  41 

37  29 


38  54 
3931 
40  02 
40  31 

40  55 

41  16 

41  34 
41  46 

41  57 

42  04 
42  08 
.::  07 

42  04 
41  58 
41  49 

41  35 
41  20 
41  00 

40  38 
40  12 

39  42 
39  09 
3834 
37  53 

37  09 
36  22 

35  31 
34  36 
33  37 
32  33 

31  25 
30  14 

28  58 
27  38 
26  13 

24  43 

23  II 

21  33  1 

19  51  1 

18  05  [ 

16  15 
14  22 

12  26  j 
10  26 
8  24  1 
6  20  - 
4  14  I 
2  08  i 
o  00  I 


o  00 
2  19 

4  38 
6  54 
9  09 
II  20 

13  29 
15  33 
17  32 
19  28 
21  19 

23  03 

24  43 

26  16 

27  45 

29  08 

30  26 

31  39 

32  46 

33  49 

34  47 

35  41 

36  29 

37  14 

37  53 

38  30 

39  02 
39  30 

39  54 

40  15 


50° 


51° 


40  32  ! 

40 

4b 

40 

56 

41 

03 

41 

07 

41 

07 

41  04 

40  59 

40  49 

40  37  1 

40 

21 

40 

02 

39  39  1 

39 

14 

38 

44 

38 

12 

37  36 

3656 

36 

13 

35 

27 

34 

30 

33  42 

32  43 

31 

41 

30  34  1 

29 

24 

28 

09 

26 

50 

25 

27 

24 

01 

22 

29 

20 

54 

19 

14 

17  31 

15  44 

13  55 

12 

02 

10 

06 

S 

07 

6  08  1 

4 

06 

2 

03 

0 

00 

o  00  ; 
2  14  ! 

4  27  i 

6  39  i 
849  ' 

10  56 

13  00  i 

15  00 
1656  i 

18  48  ; 

20  35  ; 

22  17  ' 

23  54  ! 
25261 

26  53  I 

28  15  i 

29  31  I 
3043  i 

31  49  I 

32  51  ' 

33  49  ! 

34  41 

35  29 

36  14  ; 

36  54  1 

37  29  I 
3801  I 
3829 
3853 
39  14 

39  31 
39  45 

39  55 

40  03 
40  07 
40  07 

40  04 
39  59 
39  49 
39  37 
39  21 
39  03 

38  40 
38  15 
37  46 
37  14 
3638 
36  00 

35  18 
34  31 
33  41 
3248 
31  51 

30  50 

29  43 
2834 

27  22 
26  05 

24  44 
23  18 

21  49 
20  16 
1839 

16  59 
15  15 
13  28 

11  39 
9  46 

7  52 

5  55 
358 
I  59 
o  00 


52° 


0  00 

2  C9 

4  17 

6  25 

8  30 

10  32 

12  31 
14  28 
16  21 

18  09 

19  53 

21  32 

23  07 

24  36 

26  02 

27  21 

28  37 

29  47 

30  52 

31  53 

32  50 

33  42 

34  30 

35  14 

35  53 

36  29^ 

37  00 

37  28 
-37  53 

38  13 

38  30  i 
3845 

38  55 

39  01 
39  06 
39  06 

39  05 
3858 
3850 
38  37 
38  22 
38  04 

37  42 
37  16 
36  49 
36  17 
35  42 
35  03 

34  21 
33  36 
32  47 
31  54 
30  58 
2958 

28  54 
27  46 
26  34 

25  19 
23  59 

22  36 

21  09 

19  38 
18  04 
16  27 
14  46 

13  03 

11  16 

9  27 

7  37 

5  44 

3  50 

1  55 
o  00 


o  00 

2  04 

4  08 

6  10 

8  II 
10  09 

12  05 
1358 
15  46 
17  31 

19  12 

20  48 

22  21 
2348 

25  II 

26  29 

27  43 

28  52 

29  56 

30  56 

31  52 

32  44 

33  31 

34  14 

34  53 

35  29 

36  00 
36  28 

36  52 

37  12 

37  30 
37  44 

37  54 

38  01 
38  06 
38  06 

38  04 
37  58 
37  50 
37  38 
37  23 
37  05 

36  43 
36  18 
35  50 
35  19 
M  45 
34  07 

33  25 
32  41 
31  53 
31  01 
30  06 
29  06 

28  04 
2858 
2548 
24  34 

23  16 

21  55 

20  31 
19  02 
17  30 
15  56 
14  17 
12  37 

10  54 

9  09 

7  22 

5  32 

3  42 
I  51 
o  00 


530 


54° 


55° 


o  00 

2  00 
358 
556 
7  52 

9  47 

11  38 
13  27 

15  12 

16  55 
1832 

20  05 

21  36 

23  01 

24  22 

25  38 

26  51 
2758 

29  02 

30  c» 
3^  55 

31  46 

32  33 

33  15 

33  53 

34  29 

35  00 
35  27 

35  51 

36  12 

36  30 
36  43 

36  54 

37  01 
37  05 
37  07 

37  04 
36  59 
36  50 
3638 
36  24 
36  05 

35  45 
35  20 
34  53 
34  22 
3348 
33  II 

32  31 
31  47 
30  59 
30  08 

29  15 
28  16 

27  15 
26  09 
25  01 
23  49 

22  33 
21  14 

19  52 
18  26 
16  57 
15  24 
13  50 

12  12 

10  32 
-851 

7  06 
5  21 

3  35 


0  00 

1  55 
3  50 
5  43 

7  35 
9  25 

11  12 

12  58 

14  40  I 

16  19 

17  53 

19  24 

20  52 ! 
22 14  i 

23  34 1 

24  48 1 

25  59 1 

27  05 1 

28  06 

29  04 

29  59 

30  48 

31 34 
32 17 

32  54 

33  29 

34  00 
34  28 

34  51 
35 12 

35  29 
35  43 

35  54 

36  01 
36  05 
36  06 

36  04 
35  59 
35  51 
35  39 
35  25 
35  07 

34  46 
34  23 
33  56 
33  25 
32  52 
32 15 

31 36 
30  53 
30  06 
29 16 
28  23 
27  26 

26  26 
25  23 
24 15 
23  05 

21    51 

20  34 

19  14 
17  50 
16   24 

14  55 

13  23 
II  48 

10  12 

8  32 
652 
5  10 
3  28 
I  44 
o  00 


56° 


57°        58° 


59°    :  Btonm  Agle. 


I  51 
3  41 

5  30 

7  18 
0  04 

10  48 
12  29 

14  07 

15  42 
17  15 
1843 

20  08 

21  29 

22  45 

23  59 

25  07 

26  II 

27  12 

28  09 

29  03  , 

29  52 

30  37 

31  18  j 

31  55  ! 

32  30  I 

33  00  I 
33  27  I 

33  52 

34  II 

34  29 
34  42 

34  53 

35  00 
35  04 
35  06 

35  04 
34  59 
34  51 
34  40 
34  26 
34  09 

3348 
33  25 
32  59 
32  29 
31  57 
31  20 

30  41 

29  59 

29  14 

28  24 

27  33 
26  37 

25  37 

24  36 
23  31 
22  22 
21  10 
19  55 

1837 
17  15 
15  52 
14  25 
12  56 

11  24 

9  50 

8  15 

6  38 
5  00 
3  21 
I  40 
o  00 


0  00 

0  00 

I  46 

I  42 

3  33 

3  24 

5  18 

5  05 

7  01 

6  45 

844 

8  24 

10  24 

10  00 

12  01 

11  33 

13  36 

13  05 

15  08 

14  35 

16  37 

16  01 

18  03 

17  23  1 

19  25 

18  43  ! 

20  44 

19  59  ' 

21  58 

21  12 

23  09 

22  21  ' 

24  16 

23  26 

25  20 

24  28  ; 

36  20 

25  26  ; 

27  15 

26  20 

28  06 

27  II  ' 

28  55 

27  58 

29  39 

28  42 

30  20 

29  22 

30  57 

29  58 

31  31 

30  32 

32  01 

31  02 

32  28 

31  28 

32  51 

31  52 

33  12 

32  II 

33  28 

32  28 

33  42 

32  41  ': 

33  53 

32  52  1 

34  00 

32  59  ' 

34  04 

33  °4  : 

34  06 

33  05  j 

34  04 

33  03  1 

33  59 

32  59 

33  51 

32  52 

33  41 

32  41 

33  26 

32  28 

33  «Q 

32  II 

32  50 

31  52 

32  27 

31  30 

32  01 

31  04 

31  32 

30  36 

31  00 

30  04 

30  24 

29  OQ 

29  47 

28  51 

29  05 

28  n 

28  20 

27  28 

27  32 

26  41  1 

26  41 

25  51 

2548 

2458  ' 

24  50 

24  02 

23  49 

23  03 

22  46 

22  02 

21  39 

20  56 

20  29 

19  48 

19  15 

18  37 

18  00 

17  23 

16  41 

16  07 

15  20 

14  48 

13  56 

13  27 

12  29 

12  03 

II  01 

10  35 

9  30 

9  10 

7,58 

7  41 

6  24 

6  10 

4  49 

4  40  i 

3  13 

306 

I  37 

I  33 

0  00 

0  00 

o  00 

1 38 

3  16 

4  53 
6  29 

8  04 

9  37 

11  07 

12  36 

14  02 

15  25 

16  45 

18  03 

19  16 

20  26 

21  34 

22  37 

23  37 

24  34 

25  27 

26  .7 

27  03 

27  46 

28  25 

29  01 

29  34 

30  03 
30  29 

30  52 

31  12 

31  28 
31  42 
31  53 

31  59 

32  04 
32  06 

32  04 
32  00 

31  53 
31  42 
31  29 
31  13 

30  54 
30  32 
30  07 

29  39 
29  08 
28  35 

2758 
27  19 
26  36 

25  51 
25  02 


23  16 
22  18 
21  17 
20  15 
19  08 


16  48 
15  34 
14  17 
12  59 
II  38 
10  15 

851 
7  25 
.5  57 
4  29 
3  00 
1  30 
o  00 


0  00 

1  35 

3  09 

4  41 

6  14 

7  45 

9  14 

10  41 

12  06 

13  29 

14  49 

16  07 

17  22 
i8  32 

19  41 

20  46 

21  49 

22  47 

23  42 

24  33 

25  22 

26  08 

26  49 

27  27 

2803 

28  35 

29  04 
29  30 

29  52 

30  II 

30  27 
30  42 
30  52 

30  59 

31  03 
31  05 

31  04 
30  59 
30  52 
30  43 
.30  30 
30  13 

29  55 
29  34 
29  09 
2843 
28  12 

27  39 

27  03 
26  25 
25  43 
24  59 
24  12 
23  21 

22  29 
21  33 
20  34 
19  32 

18  28 
17  21 

16  13 

15  «» 
13  46 
12  31 

11  13 
9  53 

831 
708 

5  44 
4  19 

2  53 
I  76 
o  00 


O 


10 


11 


12 


m. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

GO 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

GO 
10 
20 
30 
40 
50 

GO 
10 
20 
30 
40 
50 

GO 
10 
20 
30 
40 
50 
GO 


In  North  latitude,  when  the  star  is  rising  of  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  NortH  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearirur. 


24 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  4 

o. 

DECI^INATION— .SAME  NAME  AS- 

LATITUDE. 

I^ATITUDE  4°. 

Xlour 

Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

6»° 

70° 

Hour  Angle. 

li. 

III. 

o  / 

0  / 

0  ' 

0  / 

0  ( 

0  / 

0  / 

0  , 

0  / 

0  1 

0  / 

li.    ni.  ' 

O 

OO 

O  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

1  3° 

1  27 

I  23 

I  19 

I  15 

I  12 

I  09 

I  06 

I  03 

0  59 

0  56 

10 

20 

3  oi 

2  53 

2  46 

2  39 

2  31 

2  24 

2  18 

2  II 

2  05 

I  58 

I  52 

20 

30 

4  30 

4  18 

4  08 

3  57 

3  47 

336 

326 

3  17 

3  07 

2  57 

2  47 

30 

40 

5  59 

5  43 

5  29 

5  15 

5  01 

4  48 

4  34 

4  21 

4  09 

356 

3  43 

40 

50 

7  25 

7  07 

6  50 

6  32 

6  15 

558 

5  42 

5  25 

5  10 

4  53 

4  37 

50 

1 

OO 

S52 

8  30 

8  09 

7  48 

7  27 

707 

6  48 

6  29 

6  09 

5  51 

5  31 

1     00 

lO 

10  15 

9  51 

9  27 

9  03 

8  38 

8  15 

7  52 

7  30 

7  09 

6  46 

6  25 

10 

20 

II  38 

II  09 

10  42 

10  15 

948 

9  21 

8  56 

831 

8  06 

7  42 

7  17 

20 

30 

12  57 

12  26 

11  55 

II  26 

10  56 

10  27 

9  59 

9  30 

9  03 

8  36 

8  09 

30 

40 

14  14 

13  41 

13  07 

12  35 

12  02 

II  31 

II  00 

10  28 

9  58 

9  28 

859 

40 

50 

15  30 

14  53 

14  16 

13  41 

13  06 

12  32 

II  58 

II  24 

10  52 

ic  19 

9  46 

50 

2 

OO 

16  42 

16  03 

15  24 

14  46 

14  08 

13  32 

12  55 

12  19 

11  44 

II  09 

10  34 

2    00 

lO 

17  51 

17  09 

16  28 

15  48 

15  07 

14  28 

13  50 

13  12 

12  34 

11  57 

II  19 

10 

20 

18  57 

18  13 

17  30 

16  48 

16  05 

15  24 

14  43 

14  03 

13  22 

12  43 

12  04 

20 

30 

20  00 

19  14 

18  29 

17  45 

17  00 

16  17 

15  34 

14  52 

14  ID 

13  28 

12  47 

30 

40 

21  00 

20  12 

19  26 

1839 

17  53 

17  08 

16  23 

15  39 

14  54 

14  10 

13  27 

40 

50 

21  57 

21  08 

20  19 

19  31 

18  43 

17  56 

17  09 

16  23 

15  37 

14  51 

14  05 

50 

3 

OO 

22  50 

21  59 

21  09 

20  20 

19  30 

18  41 

17  54 

17  05 

16  17 

15  30 

14  43 

3    00 

lO 

23  40 

22  49 

21  58 

21  06 

20  15 

19  25 

18  36 

17  45 

16  56 

16  07 

15  18 

10 

20 

24  29 

23  35 

22  42 

21  50 

20  58 

20  05 

19  14 

18  23 

17  32 

16  42 

15  52 

16  23 

20 

30 

25  13 

24  17 

23  24 

22  30 

21  36 

20  43 

19  51 

•  1858 

18  07 

17  14 

30 

40 

25  53 

2458 

24  02 

23  08 

22  13 

21  18 

20  26 

19  32 

18  39 

19  08 

17  45 

16  52 

40 

50 

26  31 

25  34 

2438 

23  43 

22  47 

21  52 

20  57 

20  03 

18  14 

17  20 

50 

4 

OO 

27  05 

26  08 

25  12 

24  15 

23  18 

22  22 

21  27 

20  30 

19  36 

18  40 

17  45 

4    00 

lO 

27  37 

26  39 

25  42 

24  44 

23  47 

22  50 

21  53 

2f'  57 

20  00 

1904 

18  08 

10 

20 

28  05 

27  06 

26  09 

25  10 

24  12 

23  14 

22  18 

21  20 

20  23 

19  26 

18  29 

20 

30 

28  30 

2731 

26  32 

25  34 

24  36 

23  37 

22  40 

21  41 

20  43 

19  46 

18  48 

30 

40 

28  52 

27  53 

26  54 

25  54 

24  55 

23  57 

22  59 

21  59 

21  01 

20  03 

19  04 

40 

50 

29  12 

28  II 

27  13 

26  13 

25  14 

24  14 

23  15 

22  16 

21  18 

20  18 

19  18 

50 

5 

OO 

29  28 

28  28 

27  28 

26  28 

25  28 

24  29 

23  30 

22  30 

21  31 

20  32 

19  32 

5    00 

lO 

29  41 

28  41 

27  41 

26  40 

2541 

2441 

23  42 

22  41 

21  42 

20  42 

•19  43 

10 

20 

29  51 

28  51 

27  51 

26  51 

25  51 

24  50 

23  51 

22  50 

21  51 

20  51 

19  51 

20 

30 

2958 

28  58 

27  58 

2658 

25  57 

24  57 

23  58 

22  57 

21  57 

20  57 

19  56 

30 

40  . 

30  03 

29  02 

28  02 

27  02 

26  02 

25  02 

24  02 

23  02 

22  02 

21  01 

20  01 

40 

50 

30  04 

29  05 

28  04 

27  04 

26  04 

25  04 

24  04 

23  03 

22  03 

21  03 

20  03 

50 

6 

OO 

30  04 

29  04 

28  03 

27  03 

26  03 

25  03 

24  04 

23  03 

22  02 

21  03 

20  02 

6     00 

lO 

30  00 

29  00 

28  00 

27  00 

26  00 

25  00 

24  01 

23  00 

22  01 

21  01 

20  00 

10 

20 

29  53 

28  53 

27  54 

26  54 

25  54 

24  55 

23  55 

22  55 

21  56 

20  56 

19  56 

20 

SO 

29  43 

28  43 

27  44 

26  45 

25  46 

24  47 

23  48 

22  48 

21  49 

20  49 

19  50 

30 
40 

40 

29  30 

28  31 

27  32 

26  34 

25  34 

24  35 

23  37 

22  38 

21  39 

20  40 

19  41 

50 

29'i6 

28  16 

27  18 

26  20 

25  21 

24  23 

23  25 

22  26 

21  27 

20  28 

19  30 

50 

7 

OO 

28  57 

27  59 

27  01 

26  03 

25  05 

24  07 

23  10 

22  12 

21  14 

20  16 

19  17 

7    00 

lO 

28  37 

27  39 

26  41 

25  44 

24  47 

23  49 

22  52 

21  55 

20  58 

20  00 

19  03 

10 

20 

28  13 

27  15 

26  19 

25  22 

24  25 

23  28 

22  33 

21  35 

20  39 

19  42 

18  46 

20 

30 

27  46 

26  50 

25  54 

24  58 

24  02 

23  06 

22  II 

21  14 

20  19 

19  23 

18  27 

30 

40 

27  16 

26  22 

25  26 

24  31 

23  36 

22  41 

21  46 

20  51 

19  56 

19  01 

18  07 

40 

50 

26  45 

25  50 

24  50 

24  01 

23  07 

22  13 

21   19 

20  25 

19  31 

1838 

17  44 

50 

8 

OO 

26  10 

25  17 

24  23 

23  30 

22  36 

21  43 

20  50 

19  57 

1904 

18  12 

17  20 

8     00 
10 

10 

25  32 

'  24  39 

23  47 

22  55 

22  02 

21  II 

20  19 

19  27 

1836 

17  45 

17  03 

20 

24  51 

24  00 

23  09 

22  18 

21  26 

20  36 

19  46 

18  55 

18  05 

17  15 

16  25 

20 

3U 

24  09 

23  19 

22  28 

21  38 

20  48 

19  59 

19  11 

18  20 

17  32 

16  43 

15  55 

30 
40 
50 

40 

23  22 

22  33 

21  45 

20  56 

20  07 

19  20 

18  33 

17  44 

16  57 

16  09 

15  22 

50 

22  34 

21  46 

20  59 

20  II 

19  24 

1838 

17  52 

17  06 

16  20 

■  15  35 

14  49 

9 

00 

21  42 

20  56 

20  10 

19  24 

18  38 

17  54 

17  09 

16  25 

15  41 

14  57 

14  14 

9     00 
10 
20 
30 
40 
50 

lO 

20  47 

20  04 

19  19 

18  35 

17  51 

17  08 

16  26 

15  42 

15  01 

14  18 

13  36 

20 

19  50 

19  08 

18  25 

17  43 

17  01 

16  20 

15  40 

14  58 

14  17 

13  37 

12  57 

30 

18  51 

18  10 

17  30 

16  50 

16  10 

15  30 

14  51 

14  13 

13  34 

12  55 

12  17 

40 

17  49 

17  10 

16  31 

15  53 

15  15 

14  38 

14  01 

13  24 

12  48 

12  11 

II  35 

50 

16  44 

16  07 

:5  31 

14  55 

14  19 

13  44 

13  09 

12  34 

12  00 

II  26 

10  51 

lO 

OO 

15  38 

15  03 

14  29 

13  54 

13  21 

12  49 

12  16 

II  43 

II  II 

10  39 

10  08 

10    00 

10 
20 
30 
40 
50 

lO 

14  28 

13  56 

13  24 

12  53 

12  21 

II  51 

II  20 

10  51 

10  21 

9  51 

9  22 

20 

13  16 

12  47 

12  18 

II  48 

II  20 

10  51 

ID  24 

9  56 

9  28 

9  01 

8  34 

30 

12  03 

II  36 

II  09 

10  43 

10  17 

9  49 

9  25 

9  00 

836 

8  II 

7  46 

40 

■"o  47 

10  23 

10  00 

9  35 

9  12 

8  49 

8.26 

8  04 

7  41 

7  19 

^51 

50 

9  31 

9  09 

8  48 

8  27 

8  06 

7  46 

7  25 

7  05 

6  46 

6  27 

6  06 

11 

OO 

8  12 

7  53 

7  35 

7  17 

6  59 

6  41 

6  24 

6  06 

5  49 

5  32 

5  16 

11  00 
10 
20 
30 
40 
50 

12  00 

lO 

6  52 

6  36 

6  21 

606 

5  50 

536 

5  22 

5  07 

4  52 

4  39 

4  25 

20 

5  32 

5  19 

506 

4  54 

4  42 

4  30 

4  18 

4  06 

3  55 

3  43 

3  32 

30 

4  09 

3  59 

3  50 

3  41 

3  32 

3  23 

3  14 

306 

257 

2  49 

2  39 

40 

2  47 

2  40 

2  34 

2  27 

2  21 

2  16 

2  10 

2  04 

1  58 

'  ^l 

I  47 

50 

I  23 

I  21 

I  17 

I  14 

I  11 

I  08 

I  05 

I  02 

0  59 

0  56 

0  54 

12 

OO 

0  00 

0  00 

0  00 

0  00 

,0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

In  JiortU  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


25 


AZIMUTH    OR    TRUE    BEARING. 


LATITUDE  5°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  5°. 

Hour  Angle. 

1  240 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

■  I 
Hour  Angle. 

li. 

ni. 

0  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

.  0  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

Ii.    m. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  c» 

0  00 

0  00 

0       00  ! 

lO 

659 

635 

615 

5  55 

5  37 

5  22 

507 

4  52 

4  39 

4  28 

4  16 

405 

10  , 

20 

13  44 

13  00 

12  19 

II  42 

II  08 

10  36 

10  07 

9  40 

9  15 

851 

8  28 

8  07 

20  ; 

30 

20  05 

19  04 

18  06 

17  13 

16  25 

15  40 

14  57 

14  18 

13  42 

13  06 

12  34 

12  03 

30 

40 

25  54 

24  38 

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40 

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30  05 

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32  52 

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30  13 

29  22 

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20 

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33  03 

32  06 

31  10 

30  17 

29  24 

28  M 

27  45 

26  58 

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30 

40 

33  04 

32  03 

31  04 

30  08 

29  13 

28  20 

27  31 

26  41 

25  54 

25  08 

24  24 

23  41 

40 

50 

29  44 

2847 

2752 

26  59 

26  08 

25  20 

24  33 

23  48 

23  05 

22  24 

21  43 

21  03 

50 

ill 

OO 

26  08 

25  16 

24  25 

23  37 

22  52 

22  08 

21  26 

20  45 

20  07 

19  29 

18  54 

18  18 

11     00 

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22  16 

21  29 

20  46 

20  03 

19  24 

18  45 

18  10 

17  34 

17  00 

16  29 

15  57 

15  27 

10 

20 

18  10 

17  31 

16  54 

16  18 

15  45 

15  14 

14  44 

14  14 

13  46 

13  20 

12  54 

12  30 

20 

30 

13  51 

13  19 

12  51 

12  23 

II  58 

II  33 

II  10 

10  48 

10  26 

10  05 

q  46 

9  27 

30 

40 

9  20 

859 

8  40 

8  20 

8  03 

7  46 

-  7  30 

7  14 

7  CX) 

647 

633 

6  21 

40 

50 

4  42 

4  31 

4  21 

4  12 

4  02 

3  53 

3  46 

338 

3  30 

3  24 

3  17 

3  10 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  Ea.st  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  Bast;  and 
when  the  star  is  .setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  io  be  entered  with  the  supplement  of  t  e  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


26 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  5°. 


DECI,INATION— SAME  NAME  AS— I^ATITUDE. 


liATITVDli:  5°. 


Hour  Angle. 


36° 


37° 


38° 


39° 


40° 


42° 


43° 


44° 


45° 


47° 


Hour  Angle. 


b. 

O 


lO 


11 


12 


in. 
OO 
lO 
20 
30 
40 
50 

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20 
30 
40 
50 

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20 
30 
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50 

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20 
30 
40 
50 

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10 
20 
30 
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50 

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20 
30 
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50 

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20 
30 
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20 
30 
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20 
30 
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50 

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lO 
20 
30 
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50 

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lO 
20 
30 
40 
50 

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lO 
20 
30 
40 
50 
OO 


3  55 
7  47 
II  34 
15  14 
1843 

22  02 
25  09 

28  03 
30  45 
33  15 
35  32 

3738 

39  34 

41  19 

42  55 

44  25 

45  41 

46  '53 

47  58 

48  56 

49  47 

50  34 

51  15 

51  51 

52  23 

52  51 

53  14 
53  34 

53  49 

54  01 
54  10 
54  16. 
54  18 
54  17 
54  13 

54  07 
53  57 
53  43 
53  27 
53  07 
52  44 

52  18 

51  49 
51  16 
50  40 
50  00 
49  16 

48  28 

47  35 
4638 
45  36 
44  29 

43  18 

42  00 

40  36 
39  07 
37  31 
35  49 
33  59 

32  02 

29  57 
27  46: 
25  27 


o  00 
3  46 
7  29 
II  07 

14  39 
18  01 

21  13 
24  15 
27  05 
29  45 

32  II 
34  26 

36  32 

38  26 

40  II 

41  46 

43  14 

44  33 

45  44 

46  50 

47  48 

48  41 

49  28 

50  09 

50  46 

51  19 

51  46 

52  II 
52  31 

52  47 

53  op 
5308 
53  15 
53  18 
53  17 
53  14 

53  06 
52  56 
52  44 
52  27 
52  08 
51  45 

51  19 
50  51 
50  17 
49  42 
49  01 
48  17- 

47  29 
46  36 
45  40 
44  38 
43  31 

42  20 

41  02 

39  39 
38  II 
36  36 
34  54 

33  06 

31  II 
29  09 
26  59 
24  43 


23  00 

22  20 

20  26 

19  50 

17  46 

17  13 

J4  59 

14  31 

12  06 

II  43 

9  °9 

852 

6  08 

5  57 

3  05 

2  59 

0  00 

0  00 

o  00 
3  36 
7  II 

ID  41 
14  05 
17  20 

20  27 
23  24 
26  10 

28  45 

31  09 

33  22 

35  26 
37  20 

39  04 

40  39 

42  06 

43  25 

44  37 

45  42 

46  41 

47  34 

48  22 

49  04 

49  41 

50  14 

50  43 

51  07 
51  28 
51  45 

51  58 

52  08 
52  14 
52  17 
52  17 
52  13 

52  07 
51  57 
51  43 
SI  28 
51  08 
50  46 

50  20 
49  51 
49  18 
48  41 
48  02 
47  18 

46  29 

4538 
44  40 
43  39 
42  33 

41  22 

40  06 
3843 
37  16 
35  41 

34  01 

32  14 

30  22 
28  21 
26  15 
24  01 

21  40 
19  15 

16  42 
14  04 
II  22 
835 
5  45 
2  53 
o  00 


o  00 
3  29 
655 

10  16 

13  33 
16  42 

19  43 

22  34 
25  16 
2748 

30  09 

32  21 

34  22 

36  14 

37  57 

39  32 

40  59 

42  18 

43  30 

44  36 

45  35 

46  29 

47  16 

47  59 

48  37 

49  II 

49  39 

50  04 
50  25 
5'J  43 

50  56 

51  06 
51  12 
51  16 
51  16 
51  13 

51  06 
50  57 
50  44 
50  29 
50  09 
49  47 

49  21 
4852 
48  19 
47  43 
47  04 
46  19 

45  31 
44  39 
43  43 
42  43 

41  36 
40  25 

39  10 
37  48 
36  21 
34  48 

33  09 

31  24 

29  32 

27  34 
25  31 

23  20 
21  03 
18  40 

16  II 
13  38 

11  00 
8  19 
5  35 
2  47 
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o  00 
3  20 
6  38 
9  53 
13  02 
16  05 

ig  00 
21  47 
24  24 
26  52 
29  II 
31  20 

33  20 

35  II 

36  52 
38.27 
39  53 

41  .12 

42  24 

43  30 

44  29 

45  23 

46  II 

46  54 

47  33 

48  07 

48  36 

49  02 
49  23 
49  40 

49  54 

50  05 
50  12 

50  15 
50  16 
50  12 

50  06 

49  58 
49  45 
49  29 
49  II 


48  23 
47  54 
47  21 
46  45 
46  05 
45  22 

I 
44  34  ! 
43  42 
42  46 
41  45  \ 
40  40 

39  29  : 
38 14 

36  53  i 
35  28  I 
33  56 
32  18  I 
30  35  ; 

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26  50 
24  47  i 
22  40 
20  26  I 
18  07  I 

i 
15  43 
13  14  i 
10  40 
8  04  1 
5  24 
2  43 
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o  00 
3  12 
6  23 
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12  32 
15  29 

18  19 

21  01 

23  33 
25  59 
28  14 
30  21 

32  19 

34  10 

35  49 

37  23 

38  49 

40  07 

41  19 

42  24 

43  24 

44  18 

45  07 

45  50 

46  28 

47  03 
47  33 

47  58 

48  20 


48  52 

49  03 
49  U 
49  14 
49  15 
49  12 

49  06 

48  57 
48  45 
48  30 
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47  48 

47  23 
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46  22 
45  46 
45  06 
44  23 

43  36 
42  44 
41  48 
40  48 
39  43 
38  34 

37  19 
36  00 

34  34 

33  04 

31  27 

29  46 

27  59 

26  05 

24  06 

22  01 

19  51 

17  34 

15  14 

12  50 

10  21 
748 

5  14 

2  37 

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3  05 
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9  <J8  i 

12  05  ' 

14  56 

17  40 

20  17 

22  46 
25  07 

27  20 

29  24 

31  19 

33  08 

34  47 

36  20 

37  45 

39  03 

40  14 
4t  20  ■ 

42  20 

43  14 

44  02 

44  47 

45  25 

46  00 
46  30 

46  56 

47  18 
47  3& 

47  51 

48  02 
48  09 

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48  07 
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45  24  ' 
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44  09 
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41  47  [ 
40  52  ' 
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37  39 

I 
36  25  1 

35  06 
33  42 

32  13 

30  38 

28  58 

27  13 
25  22 

23  25 

21  23 
19  15 
17  03 


o  00 
2  58 
5  54 
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14  23 

17  02 

19  35 

21  59 
24  17 
26  26 

28  27 

30  23 

32  08 

33  46 

35  19 

36  42 

38  00 

39  II 

40  17 

41  16 

42  10 

42  59 

43  43 

44  22 

44  57 

45  28 

45  54 

46  15 
46  35, 

46  49 

47  00 
47  08 
47  13 

47  14 
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47  07 
4658 
46  47 
46  32 
46  13 
45  51 

45  26 
44  57 
44  25 
43  50 
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42  28 

41  41 
40  50 

39  55 
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37  53 
36  44 

35  31 

34  14 
32  51 

31  23 

29  49 
28  II 

26  29 
24  39 

22  45 

20  46 
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16  33 


4  47 

14  20 

2  26 

i^  03 

0  01 

9  43 

7  34 

7  20 

5  04 

4  54 

2  32 

2  28 

0  00 

0  00 

O  00 

2  51 

5  41 

8  29 
II  13 
13  52 

16  25 
18  54 

21  14 
23  28 
25  35 
27  33 

29  26 

31  10 
.32  47 

34  17 

35  41 
3658 

38  08 

39  14 

40  13 

41  06 

41  56 

42  40 

43  19 

43  54 

44  25 

44  51 

45  14 
45  32 

45  48 

45  59 

46  07 
46  12 
46  13 
46  12 

46  06 

4558 
45  46 
45  32 
45  13 
44  51 

44  27 
43  59 
43  27 
42  52 
42  13 
41  31 

40  44 
39  53 
38  59 
38  01 
3658 
35  50 

34  38 
33  21 

32  00 

30  33 
29  01 
27  26 

25  44 
23  57 

22  06 
20  10 
18  oS 
16  03 

13  54 
II  41 

9  25 
7  05 
4  45 
2  23 
o  00 


o  00 

2  45 

5  28 

8  10 

10  48 
13  22 

15  51 

18  13 

20  31 

52  41 

24  44 
26  40 

28  31 

30  13 

31  49 

33  17 

34  40 

35  56 

37  07 

38  II 

39  10 

40  05 

40  53 

41  37 

42  17 

42  51 

43  23 

43  50 

44  II 
44  31 

44  47 

44  58 

45  07 
45  12 
45  13 
45  12 

45  07 
44  58 
44  47 
44  32 
44  15 
43  53 

43  29 
43  01 
42  29 

41  55 
41  16 

40  34 

39  48- 
3858 
38  04 
37  06 

36  03 
34  57 

33  46 

32  30 
31  II 

29  45 
28  15 
26  40 

25  00 
23  16 

21  28 

19  35 
17  37 
15  35 

13  29 

11  19 

9  08 

6  52 
4  36 
2  19 
o  00 


o  00 

2  38 

5  16 

7  52 
10  25 

12  53 

15  17 

17  35 

19  48 

21  56 

23  56 
25  49 

27  37 

29  17 

30  51 

32  19 

33  40 

34  56 

36  05 

37  10 

38  08 

39  03 

39  51 

40  35 

41  14 

41  50 

42  21 

42  48 

43  10 
43  30 

43  45 

43  57 

44  06 
44  II 
44  13 
44  II 

44  07 
43  59 
43  48 
43  32 
43  15 
42  54 

42  30 
42  02 
41  31 
40  57 
40  18 
39  37 

38  51 
38  02 

37  09 
36  II 

35  10 
34  04 

32  53 

31  39 
30  21 

28  57 
27  29 
25  56 

24  19 

22  37 

20  50 

18  59 
17  04 
15  06 

13  04 
10  58 

8  50 

6  40 
4  28 
2  14 
o  00 


o  00 
2  33 
5  05 
7  34 
10  02 
12  25 

14  44 
16  59 
19  08 
21  II 

23  08 

24  59 

26  45 

28  22 

29  55 

31  22 

32  42 

33  56 

35  06 

36  10 

37  07 

38  01 

38  49 

39  33 

40  12 

40  48 

41  19 

41  46 

42  09 
42  28 

42  44 

42  56 

43  05 
43  10 
43  12 
43  II 

43  07 
42  59 
42  49 
42  34 
42  16 
41  55 


li. 

O 


41 

32 

41 

05 

40  33  1 

40 

00 

39 

22 

38 

41 

37  55 

37  07 

36 

13 

35 

18 

34 

17 

33 

12 

32 

02 

30  49 

29  32 

28 

10 

26 

43 

25 

12 

23  37  1 

21 

58 

20 

14 

18 

26 

16 

34 

14 

38 

12 

40 

10 

38 

8 

33 

6 

27 

4 

19 

2 

10 

0 

00 

11 


12 


00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
60 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name, 'the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


27 


AZIMUTH  OR  TRUE  BEARING. 


LATITVOE  5 

o^ 

DECLINATION- 

SAME  NAME 

AS-I,ATITUDE. 

LATITUDE  5°. 

Hour 

Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

li. 

m. 

O    ' 

0  1 

0  / 

0  I 

0  ' 

0  ' 

0  1 

0  ' 

0  / 

0  ' 

0  ' 

0  / 

It.    ni. 

O 

OO 

O  OO 

0  00 

0  00 

0  no 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

2  27 

2  21 

2  17 

2  II 

2  06 

2  01 

I  56 

I  53 

I  48 

■  I  44 

I  39 

I  35 

10 

20 

4  53 

4  43 

4^2 

4  21 

4  12 

4  02 

3  53 

3  44 

336 

3  27 

3  18 

3  11 

20 

30 

7  18 

7  02 

645 

6  30 

6  16 

6  01 

548 

5  35 

5  21 

5  09 

4  57 

4  45 

30 

40 

9  40 

9  18 

8  58 

838 

-  8  19 
10  18 

8  00 

7  41 

7  24 

7  "7 

^51 

635 

6  18 

40 

50 

II  58 

II  32 

II  07 

10  42 

9  55 

9  33 

9  12 

851 

8  30 

8  09 

7  50 

50 

I 

OO 

14  12 

13  42 

13  12 

1244 

12  16 

II  48 

II  23 

10  57 

10  32 

10  07 

9  43 

9  20 

1    00 

lO 

16  23 

15  47 

15  14 

14  42 

14  09 

13  39 

13  08 

12  39 

12  10 

II  43 

II  16 

10  48 

10 

20 

18  28 

17  49 

17  12 

16  35 

15  59 

15  25 

14  52 

14  19 

13  46 

13  15 

12  44 

12  15 

20 

30 

20  27 

19  45 

19  04 

18  24 

1745 

17  08 

16  31 

15  55 

15  20  ■< 

-•4  46 

14  12 

1338 

30 

40 

.  22  22 

21  36 

20  53 

20  10 

19  28 

18  46 

18  07 

1728 

16  50 

16  13 

15  35 

14  59 

40 

50 

24  10 

23  22 

.  22  36 

21  49 

21  05 

20  21 

19  39 

1857 

18  15 

17  35 

1656 

16  17 

50 

3 

OO 

25  53 

25  03 

24  '3 

23  25 

22  38 

21  51 

21  06 

20  21 

1938 

1855 

18  13 

17  33 

2    00 

lO 

27  29 

2637 

25  46 

24  55 

24  06 

23  17 

22  29 

21  43 

20  56 

20  12 

19  28 

18  44 

10 

20 

?8  59 

28  06 

27  13 

26  20 

25  29 

24  38 

23  49 

23  00 

22  12 

21  25 

20  38 

19  53 

20 

30 

30  24 

29  29 

2834 

27  40 

26  47 

25  55 

25  03 

24  13 

23  23 

22  35 

21  46 

20  58 

30 

40 

3«  44 

30  47 

29  50 

2855 

28  01 

27  07 

26  14 

25  22 

24  30 

23  40 

22  49 

22  00 

40 

1 

50 

32  57 

3»  59 

31  02 

30  05 

29  10 

28  14 

27  20 

26  26 

25  33 

24  41 

23  50 

22  59 

50 

3 

OO 

34  05 

33  06 

3208 

31  10 

30  13 

29  17 

28  22 

27  27 

26  32 

25  39 

24  46 

23  54 

3     00 

lO 

3.S08 

34  09 

33  10 

32  II 

31  13 

30  16 

29  20 

2824 

27  28 

28  19 

26  34 

25  40 

24  45 

10 

20 

.  36  07 

35  06 

34  07 

33  07 

32  09 

31  II 

30  13 

29  16 

27  24 

26  29 

^5  34 

20 

30 

37  00 

35  59 

34  58 

33  59 

32  59 

32  01 

51  02 

30  05, 

29  08 

28  II 

27  14 

26  i8 

30 

40 

37  48 

36  47 

3546 

34  46 

33  47 

32  47 

31  48 

30  50 

29  52 

28  55 

27  57 

27  00 

40 

^ 

50 

38  32 

37  30 

36  29 

3528 

34  29 

33  29 

32  30 

31  31 

30  32 

29  34 

2836 

2738 

50 

4 

OO 

39  II 

3809 

3708 

36  •07 

35  07 

34  07 

33  07 

32  08 

31  08 

30  10 

29  II 

28  12 

4     00 

lO 

39  46 

38  44 

37  43 

36  42 

3541 

34  41 

33  41 

32  41 

31  41 

30  43 

29  43 

28  44 

10 

20 

40  17 

39  16 

38  14 

37  13 

36  12 

35  II 

34  12 

33  II 

32  II 

31  12 

30  12 

29  13 

20 

■ 

30 

40  44 

39  42 

38  41 

37  40 

36  39 

3538 

3438 

33  38 

32  37 

31  37 

30  37 

2938 

30 

40 

41  07 

40  06 

3905 

3803 

37  02 

36  01 

35  01 

34  01 

33  00 

32  01 

31  00 

30  00 

40 

50 

41  27 

40  25 

39  25 

3823 

37  22 

36  21 

35  21 

34  20 

33  19 

32  19 

31  19 

30  19 

50 

1     5 

OO 

41  43 

40  42 

39  40 

38  40 

3738 

36  37 

35  37 

34  36 

33  36 

32  35 

31  35 

30  34 

5     00 

lO 

41  55 

40  54 

39  54 

38  52 

37  51 

3651 

35  50 

34  49 

33  49 

3248 

31  48 

30  47 

10 

ao 

42  04 

41  03 

40  02 

39  01 

38  01 

37  00 

36  00 

34  59 

33  58 

3258 

31  57 

30  57 

20 

30 

42  10 

41  09 

40  08 

39  07 

3807 

37  06 

36  06 

35  05 

34  05 

3304 

32  04 

31  03 

^30 

40 

42  12 

41  II 

40  10 

39  10 

38  10 

37  10 

36  09 

35  09 

3408 

3308 

32  08 

31  08 

40. 

50 

42  II 

41  II 

40  10 

39  10 

3809 

37  09 

36  09 

35  09 

34  09 

33  09 

32  08 

31  08 

50 

6 

OO 

42  07 

41  07 

40  07 

3907 

3807 

37  07 

3607 

35  06 

34  06 

33  06 

32  06 

31  06 

6     00 

lO 

42  00 

41  00 

40  00 

38  59 

37  59 

37  00 

36  00 

35  01 

34  00 

33  01 

32  01 

31  01 

10 

20 

41  49 

40  49 

39  50 

38  49 

37  50 

36  50 

35  51 

34  51 

33  52 

32  53 

31  53 

30  53 

20 

30 

41  35 

40  36 

39  36 

3836 

37  37 

3638 

35  38 

3440 

33  40 

32  42 

31  42 

30  43 

30 

40 

41  17 

40  18 

39  f  9 

38  20 

37  21 

36  22 

35  24 

3424 

33  25 

32  27 

31  28 

30  29 

40 

50 

40  57 

39  58 

38  59 

38  01 

37  02 

36  03 

3505 

3407 

33  07 

32  10 

31  II 

30  13 

50 

7 

OO 

40  33 

39  35 

3836 

37  37 

36  39 

35  42 

34  44 

33  45 

32  47 

31  50 

30  51 

29  53 

7     00 

lO 

40  06 

39  08 

38  10 

37  12 

36.14 

35  16 

34  19 

33  21 

32  24 

31  27 

30  29 

29  31 

10 

20 

39  36 

3838 

37  41 

36  43 

35  46 

3448 

33  51 

32  54 

31  57 

31  00 

30  02 

29  06 

20 

30 

39  02 

3805 

37  07 

36  10 

35  13 

34  17 

33  21 

32  23 

31  27 

30  31 

29  35 

^39 

30 

40 

38  25 

37  28 

36  31 

35  34 

34  39 

33  42 

•3246 

31  51 

30  54 

29  59 

29  04 

28  08 

40 

50 

37  44 

36  47 

35  52 

34  55 

33  59 

33  04 

32  09 

31  14 

30  19 

29  25 

28  29 

27  35 

50 

8 

OO 

36  59 

36  03 

35  08 

34  12 

33  17 

32  22 

31  28 

30  34 

29  40 

28  46 

27  52 

2659 

8     00 

lO 

36  II 

35  17 

34  21 

33  26 

32  32 

31  38 

30  45 

29  52 

2858 

28  06 

27  12 

26  20 

10 

20 

35  19 

34  25 

33  31 

32  3^ 

31  44 

30  50 

29  58 

29  05 

28  12 

27  22 

26  29 

2538 

20 

30 

34  23 

33  30 

32  36 

31  43 

30  51 

29  59 

29  08 

28  16 

27  24 

26  34 

25  43 

24  53 

30 

40 

33  23 

32  31 

31  38 

30  46 

29  55 

29  04 

28  13 

27  23 

26  33 

25  44 

24  54 

24  05 

40 

50 

32  20 

31  28 

30  37 

29  46 

28  55 

28  06 

27  17 

26  28 

25  39 

24  51 

24  02 

23  15 

50 

9 

OO 

31  II 

30  21 

29  31 

28  42 

27  52 

27  o* 

26  16 

25  28 

24  40 

23  55 

23  07 

22  21 

9     00 

lO 

29  59 

29  II 

28  22 

27  33 

26  46 

25  59 

25  12 

24  26 

23  40 

22  55 

22  10 

21  25 

10 

20 

28  43 

27  56 

27  09 

26  22 

25  35 

24  51 

24  06 

23  21 

22  36 

21  53 

21  09 

20  26 

SO 

30 

27  23 

2637 

25  51 

25  06 

24  22 

23  38 

22  55 

22  12 

21  29 

20  48 

20  07 

19  25 

30 

40 

25  59 

25  14 

24  30 

23  46 

23  05 

22  22 

21  41 

21  00 

20  20 

19  40 
18  29 

19  00 

18  21 

40 

50 

24  30 

23  47 

23  05 

22  24 

21  43 

21  03 

20  25 

1945 

19  07 

17  52 

17  15 

50 

lO 

OO 

22  56 

22  16 

21  36 

20  57 

20  19 

19  40 

19  04 

18  27 

17  51 

17  16 

16  40 

16  05 

10     00 

lO 

21  IQ 

20  41 

20  03 

19  27 

18  51 

18  15 

17  41 

17  06 

16  33 

16  00 

15  26 

14  54 

10 

20 

1938 

19  02 

18  27 

17  54 

17  20 

16  47 

16  15 

1544 

15  12 

14  41 

14  II 

13  41 

20 

30 

17  53 

17  20 

16  48 

16  16 

15  46 

15  16 

14  46 

14-17 

13  49 

13  21 

12  52 

12  25 

30 

40 

16  03 

15  34 

15  05 

14  36 

14  09 

13  42 

13  15 

12  45 

12  23 

II  57 

II  32 

II  07 

40 

50 

14  12 

13  45 

13  19 

12  54 

12  29 

12  04 

II  41 

II  17 

10  54 

10  32 

10  II 

948 

50 

II 

OO 

12  16 

II  53 

II  30 

11  08 

10  47 

10  26 

10  05 

9  44 

9  25 

9  05 

8  46 

827 

II     00 

lO 

10  18 

9  59 

9  40 

9  20 

9  02 

8  44 

8  28 

8  10 

7  53 

7  37 

7  20 

705 

10 

20 

8  17 

S  02 

7  46 

7  31 

7  17 

7  03 

6  48 

6  34 

6  21 

6  07 

\^ 

5  41 

20 

30 
40 
50 
OO 

6  15 

6  03 

5  51 

5  29 

5  17 

5  07 

456 

4  46 

4  37 

4  16 

30 

4  10 

4  03 

3  55 

3  48 

340 

3  32 

326 

3  19 

3  II 

3  04 

2  59 

2  52 

40 

12 

2  05 

2  01 

I  58 

I  54 

I  50 

I  46 

I  43 

I  39 

I  36 

I  33 

I  29 

I  26 

50 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East:  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  dilTerent  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  t)earing. 


28 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  5 

0, 

DECWNATION— same;  NAME  AS- 

-I.ATITUDE. 

I.ATITUDE  5°. 

Hour  An 

gle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

li. 

in. 

o  / 

0  ' 

0  ' 

0  ' 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  ' 

0  ' 

li.    ni. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

I  32 

I  28 

I  24 

I  20 

I  17 

1  13 

I  09 

I  07 

I  03 

I  00 

0  57 

10 

20 

3  03 

2  55 

2  48 

2  40 

2  33 

2  25 

2  19 

2  12 

2  06 

I  59 

I  53 

20 

30 

4  34 

4  22 

4  II 

4  00 

3  49 

3  39 

3  28 

3  19 

3  08 

258 

2  50 

30 

40 

6  03 

5  48 

5  33 

5  19 

5  04 

4  50 

4  37 

4  24 

4  10 

358 

3  45 

40 

50 

7  31 

7  12 

6  54 

636 

6  18 

6  01 

5  45 

528 

5  12 

4  56 

4  40 

50 

1 

OO 

857 

8  36 

8  13 

7  52 

7  32 

7  II 

651 

632 

6  12 

5  53 

5  34 

1     00 

lO  . 

10  22 

9  57 

9  32 

9  08 

844 

8  20 

7  57 

7  35 

7  II 

6  50 

6  28 

10 

ao 

II  45 

II  17 

10  49 

10  21 

9  54 

9  27 

9  01 

8  35 

8  10 

7  45 

7  21 

20 

30 

13  06 

12  34 

12  03 

II  32 

II  02 

10  33 

10  04 

9  35 

9  07 

8  39 

8  12 

30 

40 

14  24 

13  49 

13  15 

12  42 

12  09 

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II  05 

10  33 

10  02 

9  32 

9  02 

40 

50 

15  39 

15  02 

14  25 

1348 

13  13 

12  39 

12  04 

n  31 

10  57 

10  23 

9  51 

50 

2 

OO 

16  52 

16  12 

15  33 

14  54 

14  15 

1338 

13  02 

12  25 

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II  13 

10  38 

2     00 

10 

18  01 

17  18 

16  37 

15  56 

15  16 

14  36 

13  56 

13  18 

12  39 

12  02 

II  24 

10 

20 

19  07 

18  23 

17  39 

16  56 

16  13 

15  31 

14  50 

14  09 

13  29 

12  48 

12  09 

20 

30 

20  II 

19  24 

1839 

17  53 

17  09 

16  25 

15  41 

14  58 

14  16 

13  33 

12  51 

30 

40 

21  II 

20  23 

19  35 

18  48 

18  01 

17  16 

16  30 

15  45 

15  00 

14  16 

13  32 

40 

50 

22  08 

21  18 

20  29 

19  39 

18  52 

18  03 

17  16 

16  29 

15  42 

14  56 

14  II 

50 

3 

OO 

.23  01 

22  10 

21  19 

20  29 

19  39 

18  50 

18  00 

17  12 

16  23 

15  35 

14  48 

3     00 

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23  52 

22  59 

22  07 

21  15 

20  23 

19  32 

18  42 

17  52 

17  02 

16  12 

15  24 

10 

20 

24  39 

23  45 

22  52 

■21  58 

21  05 

20  13 

19  21 

18  30 

1738 

16  47 

15  57 

20 

30 

25  23 

24  28 

23  32 

22  38 

21  44 

20  51 

19  58 

19  05 

18  12 

17  20 

16  28 

30 

40 

26  03 

25  07 

24  12 

23  16 

22  21 

21  27 

20  32 

19  38 

18  44 

17  50 

16  57 

40 

50 

26  41 

25  44 

24  47 

23  50 

22  55 

.  21  59 

21  03 

20  09 

19  13 

18  18 

17  25 

50 

4 

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27  14 

26  17 

25  19 

24  22 

23  26 

22  28 

21  32 

20  36 

19  41 

18  44 

17  50 

4     00 

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27  46 

26  48 

25  49 

24  51 

23  54 

22  56 

21  59 

21  02 

20  05 

19  09 

18  13 

10 

20 

-="!'§ 

27  15 

26  16 

25  17 

24  19 

23  21 

22  23 

21  26 

20  28 

19  30 

18  33 

20 

30 

28  38 

27   39 

26  39 

25  41 

26  01 

24  42 

23  43 

22  44 

21  46 

20  48 

19  50 

18  52 

30 

40 

29  00 

28  00 

27  00 

25  02 

24  02 

23  03 

22  05 

21  06 

20  07 

19  08 

40 

60 

29 18 

28  18 

27  19 

26  18 

25  19 

24  19 

23  19 

22  21 

21  22 

20  22 

19  23 

50 

5 

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29  34 

2833 

27  33 

26  33 

25  34 

24  33 

23  33 

22  34 

21  34 

20  35 

19  35 

5     00 

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29  46 

28  46 

27  46 

26  45 

25  45 

24  45 

23  45 

22  46 

21  45 

20  45 

19  46 

10 

20 

29  55 

28  55 

27  55 

26  55 

25  55 

24  54 

23  54 

22  54 

21  54 

20  54 

19  54 

20 

30 

30  02 

29  02 

28  01 

27  01 

26  01 

25  01 

24  00 

23  01 

22  00 

20  59 

20  00 

30 

40 

30  07 

29  06 

28  06 

27  05 

26  05 

25  04 

24  04 

23  04 

22  04 

21  04 

20  03 

40 

50 

30  08 

29  07 

28  07 

27  07 

26  07 

25  06 

24  05 

23  06 

22  05 

21  05 

20  05 

50 

6 

OO 

30  06 

29  06 

28  05 

27  05 

26  06 

25  05 

24  05 

23  05 

22  05 

21  04 

20  05 

6     00 

lO 

30  01 

29  01 

28  01 

27  01 

26  01 

25  01 

24  01 

23  02 

22  02 

21  02 

20  02 

10 

20 

29  53 

28  54 

27  55 

26  55 

25  55 

24  55 

23  56 

22  57 

21  56 

20  57 

19  58 

20 

30 

29  43 

28  44 

27  45 

26  45 

25  46 

24  46 

23  47 

22  49 

21  49 

20  49 

19  51 

30 

40 

29  30 

28  31 

27  32 

26  33 

25  35 

24  36 

23  36 

22  39 

21  40 

20  40 

19  42 

40 

50 

29 14 

28  15 

27  17 

26  18 

25  21 

24  22 

23  23 

22  26 

21  27 

20  29 

19  31 

50 

7 

OO 

2856 

27  57 

27  00 

26  02 

25  04 

24  06 

23  08 

22  II 

21  13 

20  15 

19  18 

7     00 

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2834 

27  36 

26  39 

25  42 

24  46 

23  47 

22  50 

21  54 

20  56 

19  59 

19  03 

10 

20 

28 10 

27  13 

26  j6 

25  20 

24  24 

23  27 

22  30 

21  35 

20  38 

19  42 

18  46 

20 

30 

27  42 

26  47 

25  50 

24  55 

24  00 

23  04 

22  08 

21  14 

20  17 

19  21 

18  27 

30 

40 

27 13 

26  17 

25  23 

24  28 

23  34 

.22  38 

21  43 

20  50 

19  54 

19  00 

18  06 

40 

50 

26  40 

25  46 

24  52 

2358 

23  04 

22  10 

21  17 

20  24 

19  29 

1836 

17  43 

50 

8 

OO 

26  05 

25  12 

24  18 

23  26 

22  33 

21  40 

20  47 

19  55 

19  03 

18  10 

17  18 

8     00 

10 

25  27 

24  35 

23  42 

22  51 

21  59 

21  07 

20  16 

19  25 

18  33 

17  42 

i5  51 

10 

20 

24  46 

23  55 

23  04 

22  13 

21  23 

20  32 

19  42 

18  53 

18  02 

17  13 

16  23 

20 

30 

24  02 

23  12 

22  22 

21  34 

20  44 

19  55 

19  06 

18  18 

17  30 

16  41 

15  53 

30 

40 

23 16 

22  27 

21  40 

20  51 

20  04 

19  15 

18  28 

17  41 

16  54 

16  06 

15  20 

40 

50 

22  27 

21  40 

20  53 

20  06 

19  20 

18  34 

17  48 

17  02 

16  17 

15  31 

14  46 

50 

9 

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21 35 

20  50 

20  04 

19  19 

18  35 

17  50 

17  05 

16  22 

15  37 

14  54 

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9     00 

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20  41 

19  57 

19  13 

18  29 

17  47 

17  04 

16  21 

15  39 

14  57 

14  15 

13  34 

10 
20 

20 

19  44 

19  02 

18  20 

17  38 

16  57 

16  15 

15  35 

14  55 

14  14 

13  34 

12  55 

30 

18  44 

18  03 

17  24 

16  44 

16  05 

15  26 

14  47 

14  08 

13  30 

12  52 

12  14 

30 

40 

17  42 

17  03 

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1548 

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14  33 

13  57 

13  21 

12  44 

12  08 

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40 

50 

16.38 

16  01 

15  26 

14  50 

14  15 

13  40 

13  05 

12  31 

II  57 

II  22 

10  49 

50 

10 

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15  31 

14  57 

14  23 

13  50 

13  17 

12  45 

12  12 

II  40 

II  08 

10  36 

10  05 

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14  22 

13  50 

13  19 

12  47 

12  17 

II  46 

II  17 

10  47 

10  18 

948 

9  20 

10 

20 

13 11 

12  42 

12  13 

II  46 

II  17 

10  50 

10  22 

9  55 

9  27 

859 

8  33 

20 

30 

11 58 

II  31 

II  05 

10  39 

10  13 

9  47 

9  23 

858 

8  33 

8  08 

l'^^ 

30 

40 

10  43 

10  19 

9  55 

9  32 

9  09 

8  45 

8'24 

8  01 

7  39 

7  17 

655 

40 

50 

9  26 

9  06 

8  44 

8  23 

8  03 

7  43 

7  23 

7  03 

6  44 

6  24 

6  05 

50 

11 

OO 

8  09 

7  50 

7  32 

7  14 

6  56 

6  38 

6  21 

6  05 

5  47 

5  30 

5  14 

11     00 

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6  49 

6  34 

6  19 

6  03 

5  48 

5  33 

5  20 

5  06 

4  51 

4  37 

4  23 

10 

20 

5  32 

5  16 

5  04 

4  51 

4  40 

4  28 

4  17 

4  05 

3  54 

3  43 

3  32 

20 

30 

4  08 

358 

3  48 

3  39 

3  30 

3  21 

3  13 

3  05 

256 

2  48 

2  38 

30 

40 

2  45 

2  39 

2  33 

2  26 

2  20 

2  14 

2  08 

2  04 

I  57 

I  51 

I  45 

40 

50 

I  23 

I  20 

I  16 

I  13 

I  10 

I  07 

I  04 

I  01 

0  58 

0  55 

0  53 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00  . 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Aorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  .supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


29 


AZIMUTH  OR  TRUE  BEARING. 


I.ATITUDE  6°. 


DECLINATION— SAME  NAME  AS— LATITUDE. 


IjATITUDE  6°. 


Hour  Angle. 


li. 

O 


10 


11 


12 


lU. 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

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20 
30 
40 
50 

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lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

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20 
30 
40 
50 

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lO 
20 
30 
40 
50 

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lO 
20 
30 
40 
50 

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lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
30 
OO 


24°    '     25° 


26° 


27° 


O   OO 

7   20 

14  26 

21  03 
27  04 
32   25 

37  07 
41   13 

44  47 
47  52 
50  32 

52  50 

54  50 

56  34 

58  06 

59  25 

60  34 

61  34 

62  27 

63  13 

63  53 

64  27 

64  57 

65  22 

65  44 

66  ot 
66  15 
66  26 

6635 
66  41 

66  43 
66  43 
66  40 
66  35 
66  29 
66  19 

66  07 
65  52 
65  35 
65  15 
64  56 

64  31 

64  04 

63  34 
63  01 
62  24 
61  45 
61  02 

60  15 
59  23 
58  28 

57  27 
56  21 

55  09 

53  51 
52  25 
50  53 
49  " 
47  21 

45  21 

43  09 
40  46 

38  II 
35  21 
32  18 
29  00 

25  27 
21  40 

17  39 
13  26 
9  04 
4  34 
o  00 


0  / 

0  / 

0  00 

0  00 

655 

6  32 

13  38 

12  53 

19  55 

18  53 

25  43 

24  26 

30  54 

29  28 

35  30 

3358 

39  34 

37  58 

43  06 

41  28 

46  II 

44  34 

4«  53 

47  16 

51  12 

49  38 

53  16 

55  02 

56  36 

57  58 

59  10 

60  13 

61  08 

61  56 

62  38 

63  14 

63  45 

64  13 

64  35 

64  54 

65  09 
65  21 
65  31 
65  37 

65  40 
65  41 
65  40 

65  35 
65  28 

65  19 

65  07 
64  53 
64  37 
64  17 

63  55 
63  31 

63  04 
62  34 
62  01 
61  24 
60  44 
60  00 

59  12 

58  21 
57  24 
56  23 
55  17 

54  04 

52  45 
51  19 
49  46 
48  04 
46  14 
44  14 

42  03 
39  41 
37  08 
34  20 
31  19 
28  05 

24  37 
20  57 
17  02 
12  57 
8  43 
4  23 
o  00 


5'  44 

53  32 
5508 

56  32 

57  47 
5852 

59  49 

60  40 
6i  23 
62  02 

62  35 

63  02 

63  26 

63  47 

64  04 
64  17 
64  27 
64  33 

6438 
64  40 
64  38 

64  35 
64  28 
64  19 

64  07 
63  53 
63  37 
63  18 
62  56 
62  32 

62  04 

61  34 
61  00 
60  24 
59  43 
59  00 

58  II 
57  19 
56  22 
55  20 

54  13 
53  00 

51  40 
50  15 
48  41 
46  59 
45  09 
43  09 

41  00 
3838 
36  05 
33  21 
30  24 
27  13 

23  50 
20  14 
16  28 
12  30 
8  25 
4  14 
o  00 


o  00 
6  II 
12  13 
17  56 
23  16 

28  08 

32  32 

36  27 
39  56 

43  01 
45  43 

48  06 

50  13 

52  04 

53  42 

55  09 

56  25 

57  33 

■58  32 

59  23 

60  09 

60  49 

61  23 

61  53 

62  18 
62  40 

62  58 

63  12 
63  23 
63  31 

63  35 
63  37 
63  37 
63  33 
63  28 
63  19 

63  08 
62  54 
62  38 
62  18 
61  56 
6i  32 

61  04 
60  34 
60  00 
59  24 

58  43 
57  58 

57  09 
56  17 
55  20 

54  18 
53  10 

51  56 

50  37 

49  10 
47  36 
45  55 

44  05 
42  06 

3S  56 

37  36 
35  06 
32  24 

29  29 
26  23 

23  04 
19  34 
15  54 
12  04 
8  07 

4  05 
o  00 


•28° 


29°  !  30° 


31° 


0  / 

0  , 

0  00 

0  00 

5  52 

5  35 

II  37 

11  02 

17  04 

16  15 

22  12 

21  II 

26  54 

25  44 

31  10 

35  01 

38  28 

41  32 
44  14 
4638 

48  46 
50  38 

52  18 

53  47 

55  05 

56  14 

57  15 
5808 

58  56 

59  37 

60  13 

60  44 

61  II 
61  33 

61  52 

62  07 
62  19 
62  27 

62  33 
62  35 
62  35 
62  33 
62  27 
62  19 

62  08 

61  54 
61  38 
61  18 
60  57 
60  32 

60  05 
59  34 
59  00 
58  22 
57  42 
5658 

56  09 

55  15 

54  17 
53  15 
52  07 
50  53 

49  34 
48  07 
46  33 
44  52 
43  02 
41  03 

3855 

36  36 
34  08 
31  28 
28  36 
25  34 

22  21 
1856 
15  22 
II  40 
7  50 
356 
o  00 


29  53 
33  40 
37  02 
40  04 

42  48 
45  II 

47  20- 

49  14 

50  56 

52  25 

53  46 

54  56 

5558 

56  54 

57  42 

58  26 

59  02 

59  35 

60  02 
60  26 

60  46 

61  02 
6x  15 
61  24 

61  30 
61  34 
61  34 
61  31 
61  27 
61  19 

61  08 
60  55 
60  37 
60  20 
5958 
59  33 

59  05 
58  34 
58  00 
57  23 
56  42 

55  57 

55  08 
54  J4 
53  16 
52  14 

51  05 
49  52 

48  31 
47  05 
45  31 

43  49 
42  01 
40  03 

37  56 
35  38 
33  12 

30  34 
27  46 

24  47 

21  39 
18  20 
14  52 
II  16 
7  35 
3  48 
o  00 


o  00 

5  19 
10  31 

15  30 
20  14 

24  37 

28  40 
32  22 

35  42 
3842 

41  24 

43  48 

45  57 

47  52 

49  35 

51  06 

52  27 

53  39 

54  43 

55  40 

56  30 

57  14 

57  53 

58  26 

5855 

59  20 

59  41 
5958 

60  12 
60  22 

60  28 
60  32 
60  33 
60  31 
60  26 
60  18 

60  08 

59  55 
59  39 
59  18 
5858 
58  34 

58  06 
57  35 
57  01 
56  23 
55  41 
54  57 

54  07 
53  14 
52  16 
51  12 

50  04 

48  49 

47  30 

46  03 

44  30 

42  48 
40  59 
39  03 

36  57 
34  41 
32  17 

29  43 
26  58 
24  03 

2058 
17  45 
14  23 
10  54 
7  19 
3  41 
o  00 


o  00 
5  04 
10  02 
14  48 

19  21 
23  36 

27  32 
31  08 
34  24 
37  23 

40  04 

42  27 

44  36 

46  31 

48  15 

49  47 

51  10 

52  24 

53  29 

54  27 

55  18 

56  04 

56  44 

57  18 

5748 

58  15 

58  3i 
5854 
5908 

59  19 

59  26 
59  31 

59  32 
59  31 
59  26 
-59  18 

59  09 
5856 
58  39 
58  21 
58  00 
57  34 

5708 
5636 
56  01 
55  24 
54  42 
53  57 

53  07 
52  13 
51  15 

50  12 
49  04 

47  49 

46  29 

45  03 

43  29 

41  49 
40  01 
3805 

36  00 
33  46 
31  24 

28  53 
26  II 
23  19 

20  20 
17  II 
13  55 
10  33 

7  05 
3  33 
o  00 


32° 


o  00 

4  49 
9  34 
14  09 

18  32 
22  37 

26  26 

29  57 
33  II 

36  06 

3845 

41  08 

43  17 

45  13 

46  57 

48  31 

49  54 

51  09 

52  14 

53  14 

54  07 

54  54 

55  34 

56  10 

56  41 
5708 

57  30 

57  49 

58  04 
58  15 

58  23 
58  28 
5830 
58  29 
58  26 
58  18 

5809 
57  55 
57  40 
57  22 
57  00 
56  35 

56  07 
55  36 
55  02 
54  24 
53  43 
52  57 

52  07 
51  14 

50  14 
49  II 
48  03 
46  49 

45  28 

44  03 

42  30 
40  50 
39  03 

37  08 

35  05 
32  53 

30  33 
28  03 
25  25 
22  38 

19  42 
16  39 
13  28 
10  12 

651 
3  26 
o  00 


33° 

34° 

0  / 

0  / 

0  00 

0  00 

4  37 
9  08 
13  32 

4  25 
844 
12  58 

17  44 

17  00 

21  42 

20  50 

25  24 
28  50 

24  26 
27  46 

31  59 

30  51 

34  52 
37  29 
39  51 

36  16 
3836 

42  00 

43  56 
45  40 

47  14 

48  39 

49  54 

51  01 

52  02 

52  55 

53  44 

54  25 

55  02 

55  34 

56  02 
56  25 

56  45 

57  00 
57  12 

57  22 
57  27 
57  29 
57  29 
57  24 
57  18 

57  08 
5656 
56  41 
56  22 
56  01 
55  35 

55  08 
54  36 
54  03 
53  24 
52  43 
51  57 

51  08 

50  14 
49  15 
48  II 

47  03 
45  49 

44  30 
43  04 
41  31 
39  53 
38  06 
36  12 

34  10 
32  01 
29  42 
27  16 

24  41 
21  58 

19  07 
16  09 

13  04 
9  52 
6  38 
3  19 
o  00 


40  45 

42  41 
44  26 

46  00 

47  25 

48  41 

49  50 

50  51 

51  46 

52  34 

53  17 

53  55 

54  28 

54  56 

55  21 
55  41 

55  57 

56  10 

56  19 
56  25 

56  27 
56  27 
56  24 
56  18 

56  09 

55  56 
55  41 
55  23 
55  02 
54  37 

54  09 
53  38 
53  03 
52  25 
51  44 
5058 

50  08 
49  15 
48  16 

47  13 
46  04 

44  50 

43  31 
42  05 
40  34 
3855 
37  II 
35  17 

33  17 
31  10 
2854 
26  30 

23  58 
21  19 

18  33 
15  39 
12  39 
9  34 
6  25 

3  14 
o  00 


35° 

0 

/ 

0 

CO 

4 

13 

8 

23 

12 

26 

16 

20 

20 

01 

23  30  1 

.  26 

45 

29  45  1 

32 

32 

35  05  1 

37 

25 

39  32  1 

i  41 

28 

43 

12 

1  44  47  1 

1  46 

12 

47  30  1 

48 

39 

1  49  40  1 

50  37  1 

51 

25- 

52  09 

52  47 

53 

21 

53  51  1 

54 

lb 

54  37 

54  53 

55  07 

55 

17 

55  24  1 

55 

27 

55 

27 

55 

24 

55 

18 

55  09 

54  57 

'  54  42 

1  54  23 

1  54  03 

53  37 

53 

II 

1  52  39  1 

■  52  05  1 

1  51 

26 

5045 

49  59 

49 

10 

4« 

15 

47 

17 

46 

13 

45 

06 

43 

52 

42  33  1 

41 

08 

39 

38 

38 

00 

36 

15 

34 

25 

32 

26 

30 

19 

28  06  1 

25 

45 

23 

17 

20 

42 

17  59  1 

15 

II 

12 

16 

9 

16 

6 

13 

a  07 1 

0 

00 

Hour  Angle. 


b. 

O 


10 


11 


12 


ni. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitntle,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  derliiiatlon  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  th«  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


30 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  6°. 

DECUNATION- 

SAME  NAME  AS— LATITUDE. 

liATITUDE  6°. 

Hour  Angle. 

36° 

370 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

46° 

46° 

47° 

Hour  Angle. 

ti.    m. 

0  1 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  ' 

0  ' 

0  ' 

0  / 

0  ' 

0  / 

h.    ni. 

O     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CX3 

0  00 

0  00 

0  00 

0    00 

lO 

4  02 

3  52 

3  43 

3  34 

3  25 

3  18 

3  09 

3  02 

2  55 

2  49 

2  42 

236 

10 

20 

8  02 

7  41 

7  22 

7  05 

6  49 

633 

6  17 

6  02 

5  49 

5  35 

5  23 

5  II 

20 

30 

II  55 

II  25 

10  58 

10  32 

10  08 

9  44 

9  22 

9  01 

8  39 

8  20 

8  01 

7  42 

30 

40 

15  39 

15  03 

14  27 

13  53 

13  21 

12  50 

12  21 

II  54 

II  27 

II  02 

10  37 

10  13 

40 

50 

19  13 

18  29 

17  47 

17  07 

16  28 

15  51 

15  15 

14  42 

14  10 

13  38 

13  08 

12  39 

50 

1       00 

22  36 

21  45 

20  57 

20  II 

19  26 

18  44 

18  03 

17  24 

16  46 

16  10 

15  34 

15  01 

1    00 

10 

25  46 

24  50 

23  56 

23  05 

22  15 

21  28 

20  42 

1958 

19  16 

18  35 

-  17  55 

17  16 

10 

ao 

28  42 

27  43 

26  44 

2548 

24  55 

24  03 

23  13 

22  25 

21  39 

20  53 

20  10 

19  27 

20 

30 

31  27 

30  22 

29  21 

28  22 

27  24 

26  30 

25  35 

24  44 

23  54 

23  05 

22  18 

21  32 

30 

40 

33  57 

32  51 

31  47 

30  45 

29  44 

28  46 

27  49 

26  55 

26  02 

25  10 

24  19 

23  30 

40 

.50 

36  15 

35  07 

34  01 

32  56 

31  53 

30  54 

29  55 

28  57 

28  02 

27  06 

26  13 

25  22 

50 

2   00 

38  21 

37  12 

36  04 

34  59 

33  54 

32  52 

31  51 

30  51 

29  54 

28  57 

28  02 

27  08 

2    00 

10 

40  16 

39  06 

37  57 

36  51 

35  45 

34  41 

33  39 

32  37 

31.39 

30  40 

29  4-2 

2847 

10 

20 

42  01 

40  50 

39  41 

38  33 

37  -7 

36  22 

35  18 

34  16 

33  16 

32  15 

31  17 

30  20 

20 

30 

43  35 

42  25 

41  16 

4007 

39  00 

37  55 

36  50 

35  47 

34  45 

33  44 

32  44 

31  46 

30 

40 

45  °i 

43  50 

42  42 

41  33 

40  25 

39  20 

38  15 

37  II 

36  09 

35  07 

34  06 

33  06 

40 

50 

46  18 

4508 

43  59 

42  51 

41  43 

40  38 

39  33 

38  28 

37  25 

36  22 

35  20 

34  19 

50 

3    00 

47  28 

46  19 

45  10 

44  02 

42  55 

41  49 

40  43 

39  38 

38  35 

37  31- 

36  29 

35  28 

3    00 

10 

48  31 

47  22 

46  14 

45  06 

43  59 

42  54 

41  48 

40  43 

39  40 

3835 

37  33 

36  31 

10 

20 

49  27 

48  19 

47  II 

46  03 

44  57 

43  51 

42  45 

41  41 

40  38 

39  34 

38  31 

37  29 

20 

30 

50  17 

49  10 

48  02 

46  56 

45  49 

44  44 

43  38 

42  34 

41  30 

40  26 

39  24 

38  21 

30 

40 

51  02 

49  55 

48  48 

47  42 

46  36 

45  31 

44  26 

43  22 

42  18 

41  15 

40  II 

3908 

40 

60 

51  42 

50  35 

49  29 

48  23 

47  18 

46  13 

45  08 

44  04 

43  00 

41  57 

40  54 

39  51 

50 

4     00 

52  16 

51  10 

50  04 

49  00 

47  55 

46  50 

45  46 

.44  42 

43  39 

42  35 

41  32 

40  30 

4    00 

10 

52  46 

51  40 

50  36 

49  31 

48  26 

47  23 

46  19 

45  15 

44  12 

43  08 

42  06 

41  04 

10 

20 

53  II 

52  07 

51  02 

49  58 

4855 

47  51 

46  48 

45  44 

44  42 

43  39 

4236 

41  33 

20 

30 

53  33 

52  28 

51  25 

50  22 

49  19 

48  16 

47  12 

46  09 

45  06 

44  04 

43  01 

42  00 

30 

40 

53  50 

52  47 

51  44 

50  41 

49  38 

4835 

47  33 

46  30 

45  28 

44  25 

43  24 

42  21 

40 

60 

54  04 

53  01 

51  59 

50  56 

49  54 

48  51 

47  50 

46  48 

45  46 

44  43 

43  41 

42  40 

50 

5     00 

54  15 

53  13 

52  II 

51  08 

50  06 

49  05 

48  03 

47  01 

45  59 

44  57 

43  55 

42  54 

5    00 

10 

54  22 

53  20 

52  19 

51  17 

50  16 

49  14 

48  12 

47  II 

46  09 

45  08 

44  07 

43  05 

10 

20  • 

54  26 

53  24 

52  23 

51  22 

50  21 

49  19 

48  18 

47  17 

46  17 

45  15 

44  14 

43  13 

20 

30 

54  27 

53  25 

52  25 

51  24 

50  23 

49  22 

48  20 

47  20 

46  20 

45  18 

44  18 

•43  17 

30 

40 

•54  23 

53  23 

52  23 

51  22 

50  21 

49  21 

48  20 

47  20 

46  20 

45  18 

44  18 

43  18 

40 

50 

54  18 

53  18 

52  17 

51  18 

50  17 

49  17 

48  16 

47  16 

46  17 

45  15 

44  15 

43  15 

50 

6     00 

54  09 

53  09 

52  08 

51  10 

50  10 

49  10 

48  10 

47  09 

46  10 

45  09 

44  10 

43  10 

6    00 

10 

53  06 

52  06 

51  05 

5058 

49  58 

48  59 

47  59 

46  59 

46  00 

44  59 

44  00 

43  01 

10 

20 

53  43 

52  43 

51  44 

50  44 

49  44 

48  45 

47  45 

46  46 

45  46 

44  47 

43  48 

42  48 

20 

30 

53  24 

52  25 

51  25 

50  27 

49  27 

48  28 

47  29 

46  30 

45  31 

44  31 

43  33 

42  33 

30 

40 

53  03 

52  04 

51  05 

50  06 

49  07 

48  08 

47  09 

46  10 

45  12 

44  12 

43  13 

42  13 

40 

50 

52  38 

51  40 

50  41 

49  42 

48  43 

47  44 

46  46 

45  47 

44  48 

43  49 

42  51, 

41  52 

50 

7     00 

52  11 

51  12 

50  13 

49  15 

48  16 

47  18 

46  19 

45  21 

44  22 

43  23 

42  25 

41  26 

7     00 

10 

51  39 

50  42 

49  42 

48  44 

47  46 

46  47 

45  49 

44  50 

43  53 

42  55 

41  57 

40  58 

10 

20 

51  06 

50  07 

49  09 

48  10 

47  12 

46  13 

45  15 

44  18 

43  20 

42  22 

41  25 

40  26 

20 

30 

50  27 

49  29 

4831 

47  33 

46  34 

45  37 

44  39 

43  41 

42  44 

41  46 

40  49 

39  51 

30 

40 

49  46 

48  48 

47  50 

46  51 

45  54 

44  55 

4358 

43  00 

42  04 

41  07 

40  09 

39  12 

40 

60 

49  01 

48  02 

47  03 

46  06 

45  08 

44  II 

43  14 

42  17 

41  20 

40  24 

39  27 

38  30 

50 

8     00 

48  10 

47  12 

46  14 

45  17 

44  20 

43  22 

42  25 

41  29 

40  32 

39  36 

38  41 

37  44 

8     00 

10 

47  17 

46  19 

45  21 

44  24 

43  26 

42  28 

41  33 

40  37 

39  41 

38  45 

37  50 

36  54 

10 

20 

46  18 

45  21 

44  23 

43  25 

42  29 

41  33 

40  37 

39  41 

38  46 

37  50 

3656 

36  02 

20 

30 

45  16 

44  17 

43  21 

42  24 

41  27 

40  31 

39  36 

38  41 

37  46 

36  52 

3558 

35  04 

30 

40 

44  08 

43  10 

42  14 

41  16 

40  21 

39  25 

3831 

37  37 

36  42 

35  49 

34  56 

34  03 

40 

50 

42  55 

41  58 

41  01 

40  06 

39  10 

38  15 

37  21 

36  28 

35  34 

34  41 

33  50 

32  57 

50 

9     00 

41  36 

40  39 

39  43 

38  49 

37  53 

37  00 

3606 

35  14 

34  22 

33  29 

32  39 

31  48 

9     00 

10 

40  12 

39  16 

38  20 

37  26 

36  33 

35  39 

34  47 

33  56 

33  05 

32  14 

31  24 

30  34 

10 

20 

38  41 

37  46 

36  52 

35  59 

35  06 

34  14 

33  23 

32  33 

31  43 

30  53 

30  05 

29  16 

20 

30 

37  04 

36  II 

35  17 

34  26 

33  34 

32  43 

31  53 

31  05 

30  16 

29  28 

28  41 

^155 

30 

40 

35  21 

34  29 

33  37 

32  46 

31  56 

31  07 

30  19 

29  32 

28  44 

2758 

27  13 

26  28 

40 

,60 

33  32 

32  41 

31  50 

31  01 

30  13 

29  25 

2839 

27  53 

27  08 

26  24 

25  40 

24  57 

50 

10     00 

31  35 

30  46 

2958 

29  10 

28  24 

27  38 

26  53 

26  10 

25  27 

24  44 

24  04 

23  23 

10     00 

10 

29  31 

28  44 

27  57 

27  13 

26  28 

25  45 

25  03 

24  21 

23  41 

23  01 

22  22 

21  43 

10 

20 

27  21 

26  35 

25  52 

25  09 

24  27 

23  47 

23  07 

22  28 

21  50 

21  13 

20  36 

20  CK) 

20 

30 

25  03 

24  21 

23  39 

23  00 

22  21 

21  43 

21  06 

20  30 

19  55 

19  20 

18  46 

18  13 

30 

40 

22  37 

21  58 

21  20 

20  44 

20  08 

19  33 

1859 

18  27 

17  55 

17  22 

16  52 

16  22 

40 

50 

20  05 

19  30 

1856 

18  22 

17  51 

17  20 

16  49 

16  20 

15  50 

15  22 

14  55 

14  27 

50 

11     00 

17  27 

16  55 

16  26 

15  56 

15  27 

15  01 

14  34 

14  07 

13  43 

13  18 

12  54 

12  30 

11     00 

10 

14  43 

14  16 

13  50 

13  25 

13  00 

12  38 

12  15 

II  53 

II  31 

II  10 

10  50 

10  30 

10 

20 

"  53 

II  31 

11  10 

10  50 

10  29 

10  10 

9  52 

9  34 

9  17 

9  00 

8  43 

8  27 

20 

30 

859 

8  42 

8  26 

8  II 

7  55 

7  41 

7  27 

7  13 

7  00 

6  47 

6  34 

6  22 

30 

40 

6  01 

5  50 

538 

5  29 

518 

5  09 

4  59 

4  50 

4  41 

432 

4  24 

4  15 

40 

SO 

3  01 

2  55 

2  50 

2  45 

2  39 

2  34 

2  30 

2  25 

2  21 

2  16 

2  12 

2  08 

60 

la   00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  jneridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  form  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


81 


AZIMUTH  OR  TRUE  BEARING. 


liATlTUDE:  6 

o^ 

DECI^INATION— 

SAME  NAME  AS— LATITUDE. 

LATITITDE  6°. 

Hour  An 

gle. 

48° 

49° 

50° 

51° 

• 

52° 

63° 

54° 

55° 

56° 

57° 

58° 

59° 

Hoar  Angle. 

Ii. 

ni. 

O  1 

0  1 

0   7 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  » 

0  I 

li.    m. 

0 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  GO 

0  00 

0    00 

lO 

2  30 

2  24 

2  19 

2  13 

2  08 

2  04 

I  59 

I  54 

I  49 

I  45 

I  41 

I  37 

10 

20 

4  59 

4  48 

4  36 

4  26 

4  16 

4  06 

3  57 

3  47 

3  39 

3  30 

3  22 

3  13 

20 

SO 

7  25 

653 

638 

6  22 

6  08 

5  54 

5  39 

526 

5  14 

5  01 

4  49 

30 

40 

9  50 

9  28 

9  07 

847 

827 

8  08 

748 

7  30 

7  13 

6  56 

^  39 

623 

40 

50 

12  II 

II  44 

II  18 

1053 

10  28 

10  05 

9  42 

9  19 

8  58 

836 

8  16 

756 

50 

1 

OO 

14  28 

13  56 

13  25 

12  56 

12  27 

11  59 

II  32 

II  06 

10  40 

10  16 

9  51 

927 

1    00 

lO 

16  40 

16  04 

15  29 

14  55 

14  23 

•3  51 

13  20 

12  50 

12  20 

II  51 

II  24 

10  56 

10 

20 

18  46 

18  06 

17  28 

16  51 

16  14 

15  39 

15  04 

14  30 

1358 

13  25 

.12  54 

12  23 

20 

30 

20  48 

20  04 

19  22 

18  41 

i8  01 

17  22 

16  44 

16  07 

15  32 

14  56 

14  22 

13  47 

30 

40 

22  43 

21  56 

21  II 

20  27 

19  43 

19  02 

18  21 

17  41 

17  02 

16  23 

15  46 

^§  °? 

40 

50 

24  32 

23  43 

22  54 

22  08 

21  21 

20  37 

19  53 

19  II 

18  29 

17  47 

17  08 

i6  28 

50 

a 

OO 

26  16 

25  24 

24  32 

23  44 

22  55 

22  08 

21  21 

20  36 

19  53 

19  08 

18  25 

17  44 

2     00 

lO 

27  52 

2658 

26  05 

25.14 

24  23 

23  34 

22  45 

21  58 

21  12 

20  25 

19  40 

18  56 

10 

20 

29  22 

28  26 

27  33 

26  39 

25  46 

24  56 

24  05 

23  16 

22  27 

21  38 

20  51 

20  04 

20 

30 

30  48 

29  50 

2855 

27  59 

27  06 

26  12 

25  19 

24  29 

2338 

22  48 

21  59 

21  10 

30 
40 
50 

40 

32  07 

31  08 

30  II 

29  15 

28  19 

27  25 

26  30 

25  37 

24  45 

23  53 

23  02 

22  12 

30 

33  20 

32  20 

31  22 

3°  25 

29  27 

28  31 

27  36 

26  42 

2548 

24  55 

24  02 

23  II 

3 

OO 

34  28 

33  27 

32  27 

31  29 

30  32 

2935 

2838 

27  42 

2647 

25  53 

24  59 

24  05 

3     00 

lO 

35  29 

34  29 

3328 

32  30 

31  33 

30  33 

29  35 

28  39 

27  43 

26  47 

25  51 

2457 

10 

20 

36  27 

35  25 

34  25 

33  25 

32  26 

31  27 

30  29 

29  31 

2835 

27  38 

26  41 

25  46 

20 

30 

37  19 

36  17 

35  16 

34  16 

33  15 

32  16 

31  18 

30  19 

29  22 

28  24 

27  26 

26  29 

30 

40 

38  07 

37  04 

36  03 

35  02 

34  02 

33  02 

32  03 

31  03 

30  05 

2907 

28  08 

27  II 

40 

50 

38  49 

37  47 

36  46 

35  45 

34  43 

33  43 

32  43 

31  44 

3045 

29  46 

2847 

27  48 

50 

4 

OO 

\39  27 

38  25 

37  24 

36  22 

35  21 

34  21 

33  20 

32  20 

31  20 

30  21 

29  22 

28  23 

4     00 

10 

40  02 

3859 

37  57 

3656 

35  54 

34  54 

33  53 

32  53 

31  53 

30  54 

29  54 

28  54 

10 

20 

40  31 

39  29 

38  27 

37  26 

36  25 

35  24 

34  22 

33  22 

32  22 

31  21 

30  22 

29  21 

20 

30 

40  57 

39  54 

3854 

37  53 

36  51 

35  50 

34  49 

3348 

3248 

31  46 

30  46 

29  47 

30 

40 

41  20 

40  17 

39  16 

38  14 

37  12 

36  12 

35  II 

34  10 

33  09 

32  08 

31  08 

3007 

40 

50 

41  38 

40  35 

39  34 

3833 

37  32 

3631 

35  29 

34  29 

33  28 

32  27 

31  27 

30  26 

50 

5 

OO 

41  52 

40  51 

39  49 

38  49 

37  47 

36  47 

35  45 

34  44 

33  44 

32  42 

31  42 

30  41 

5    00 

lO 

42  04 

41  02 

40  01 

39  00 

.37  59 

3658 

35  57 

34  56 

33  55 

32  55 

31  54 

30  53 

10 

20 

42  II 

41  II 

40  09 

3908 

38  07 

37  07 

36  06 

35  05 

3+  05 

33  04 

32  03 

31  02 

20 
30 

30 

42  17 

41  15 

40  15 

39  14 

38  12 

37  12 

36  II 

35  10 

34  10 

33  09 

32  09 

31  08 

40 

42  17 

41  17 

40  16 

39  15 

38  14 

37  14 

36  14 

35  13 

u  13 

33  12 

32  II 

31  II 

40 

aO 

42  16 

41  15 

40  14 

39  14 

38  14 

37  13 

36  13 

35  12 

34  13 

33  12 

32  12 

31  II 

60 

6 

OO 

42  09 

41  10 

40  09 

39  09 

38  08 

37  09 

3608 

35  09 

34  09 

33  09 

32  09 

31  08 

6     00 
10 

lO 

42  01 

41  01 

40  01 

39  01 

38  02 

37  02 

36  01 

35  02 

34  02 

33  02 

32  02 

31  02 

20 

41  49 

40  49 

39  50 

38  51 

37  51 

36  51 

35  52 

34  52 

33  53 

32  53 

31  54 

30  54 

20 
30 

30 

41  34 

40  35 

39  35 

3836 

37  37 

36  39 

35  39 

34  40 

33f4i 

32  42 

31  43 

30  43 

40 

41  i5 

40  17 

39  18 

38  19 
3758 

37  20 

36  21 

35  22 

34  24 

33  26 

32  26 

31  28 

30  29 

40 

oO 

40  55 

39  55 

3857 

36  59 

36  02 

35  03 

34  05 

33  07 

32  08 

31  10 

30  12 

50 

7 

OO 

40  30 

39  31 

38  33 

37  34 

36  37 

35  39 

34  41 

33  43 

32  46 

31  47 

30  50 

29  51 

7     00 

10 

40  01 

39  03 

3805 

37  oS 

36  10 

35  13 

34  15 

33  18 

32  21 

31  23 

30  27 

29  29 

10 

20 

39  29 

3832 

37  35 

3638 

35  41 

34  44 

33  47 

32  50 

31  53 

30  57 

30  00 

29  03 

20  ■ 

30 

3856 

3758 

37  01 

36  05 

35  08 

34  12 

33  15 

32  19 

31  23 

30  27 

29  32 

28  36 

30 

40 

38  17 

37  20 

36  24 

35  28 

34  32 

33  37 

32  40 

31  45 

30  50 

29  54 

28  59 

28  04 

40 

50 

37  35 

36  39 

35  44 

34  48 

33  53 

3258 

32  02 

31  08 

30  14 

29  19 

28  25 

27  31 

50 

K 

OO 

36  50 

35  54 

34  59 

34  04 

33  09 

32  15 

31  21 

30  27 

29  34 

28  40 

27  47 

26  54 

8    00 

lO 

36  00 

35  06 

34  12 

33  18 

32  24 

31  30 

30  37 

29  43 

28  52 

27  59 

27  07 

26  14 

10 

20 

3508 

34  14 

33  21 

32  27 

31  34 

30  42 

29  50 

28  57 

28  06 

27  14 

26  23 

25  32 

20 

30 

34  12 

33  18 

32  26 

31  33 

30  41 

29  50 

2859 

28  08 

27  17 

26  27 

25  37 

24  47 

30 

40 

33  II 

32  19 

31  27 

30  36 

29  45 

28  05 

27  15 

26  26 

25  36 

24  48 

23  58 

40 

50 

32  07 

31  16 

30  25 

29  45 

28  46 

27  56 

27  07 

26  19 

25  31 

24  42 

23  55 

23  08 

50 

9 

OO 

30  59 

30  08 

29  19 

28  31 

27  42 

26  54 

26  06 

25  20 

24  33 

23  46 

23  00 

2Z  14 

9     00 

lO 

29  46 

2857 

28  10 

27  21 

26  35 

25  49 

25  02 

24  17 

23  32 

22  47 

22  03 

21  18 

10 

20 

28  29 

27  43 

2656 

26  10 

25  25 

24  40 

23  55 

23  12, 

22  29 

21  45 

21  03 

20  20 

20 

30 

27  09 

26  23 

25  39 

24  54 

24  II 

23  28 

22  44 

22  03 

21  21 

20  39 

19  59 

19  18 

30 
40 

40 

25  44 

25  01 

24  18 

23  35 

22  53 

22  12 

21  33 

20  51 

20  II 

19  31 

18  53 

18  14 

50 

24  16 

23  34 

22  53 

22  12 

21  32 

20  54 

20  14 

19  36 

1858 

18  22 

17  45 

17  08 

50 

10 

OO 

22  43 

22  03 

21  25 

20  46 

20  08 

19  31 

18  55 

18  19 

17  43 

17  08 

16  34 

15  59 

10     00 

lO 

21  06 

20  29 

1952' 

19  16 

18  41 

18  06 

17  32 

1658 

16  25 

15  52 

15  20 

14  47 

10 

20 

19  25 

18  50 

18  16 

17  43 

17  II 

16  38 

16  06 

15  36 

15  05 

14  34 

14  05 

13  35 

20 

30 

17  41 

ir  09 

16  38 

16  07 

15  36 

15  08 

14  38 

14  10 

13  42 

13  14 

12  47 

12  20 

30 

40 

15  53 

15  24 

14  55 

14  28 

14  00 

13  34 

13  07 

12  41 

12  16 

II  51 

II  27 

II  02 

40 

50 

14  01 

13  36 

13  II 

12  46 

12  21 

II  58 

II  34 

II  12 

1049 

10  26 

10  05 

9  44 

50 

11 

OO 

12  07 

II 44 

II  22 

11  01 

10  40 

10  20 

9  59 

9  39 

9  20 

9  01 

8  41 

823 

11     00 

lO 

10  11 

9  52 

9  32 

9  14 

857 

8  40 

8  22 

8  05 

7  50 

7  33 

7  17 

7  01 

10 

20 

8  II 

7  40 

726 

7  12 

657 

6  44 

6  30 

617 

6  04 

5  52 

5  39 

20 

30 

6  10 

5  58 

5  47 

536 

525 

5  15 

5  04 

4  54 

444 

4  34 

4  25 

4  15 

•30 

40 

A.   08 

4  00 

3  52 

3  45 

3  37 

3  30 

3  24 

3  17 

3  10 

3  03 

2  56 

2  51 

40 

50 

2  04 

2  00 

I  57 

I  53 

I  49 

I  46 

I  42 

I  38 

I  35 

I  32 

I  28 

I  25 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00, 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Jforth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  i^outh  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  .supplement  of  the  hour  angle  an'l  tho 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


32 


AZIMUTH  OR  TRUE  BEARING. 


liATITVDE:  e."" 


DECI^INATION— SAME  NAME  AS-I,ATITUDE. 


latitude:  6°. 


Honr  Angle. 


li. 
O 


lO 


11 


12 


OO 
lO 
20 
30 
40 
SO 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
SO 

OO 
10 
20 
20 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


«o<^ 


61<^ 


0  00 

1  33 

3  05 

4  36 

6  07 

7  36 

9  04 

10  30 

11  54 

13  15 

14  34 

15  49 

17  02 

18  12 

19  19 

20  23 

21  22 

22  20 

23  13 

24  04 

24  51 

25  34 

26  14 

26  51 

27  25 

27  55 

28  22 

28  46 

29  08 
29  26 

29  40 

29  52 

30  01 
30  08 
30  II 

30    IX 

30  08 
30  03 
29  55 
29  44 
29  30 
29  14 

2855 

23  32 

28  08 
27  40 

27  09 
26  37 

26  01 
25  23 

24  42 
23  57 
23  II 
22  21 

21  29 
20  35 
19  37 
1838 
17  36 
16  32 

15  25 
14  16 
13  05 
II  53 

10  39 
9  22 

8  04 
6  46 
5  26 
4  05 
2  44 


0  00 

1  29 
258 

4  25 

5  52 

7  17 

8  41 

10  04 

11  24 

12  43 
1358 

15  II 

16  21 

17  29 
1833 

19  35 

20  33 

21  29 


23  09 

23  55 

24  37 

25  17 

25  53 

26  26 

26  56 

27  22 

27  46 

28  07 
28  25 


62° 


28  40 

27  39 

28  52 

-7  51 

29  01 

27  59 

29  07 

28  06 

29  09 

28  09 

29  10 

28  09 

29  07 
29  02 

2855 

28  45 
28  31 
28  15 

27  57 
27  35 
27  II 
26  44 
26  14 
25  43 


14  52 
13  45 
12  37 
II  27 
10  14 
9  02 

7  47 
631 
5  14 
3  56 
2  38 
I  18 
o  00 


O  00 

I  24 

2  50 

4  13 

5  37 
o  59 

8  19 
938 
10  56 

12  10 

13  23 

14  33 

15  41 

16  46 

17  48 

18  49 

19  45 

20  39 

21  29 

22  17 

23  01 

23  42 

24  21 

24  56 

25  28 

25  57 

26  23 

26  47 

27  07 
27  24 


639 


28  08 
28  02 
27  55 
27  45 
27  32 
27  17 

26  59 
26  37 
26  14 
25  49 
25  20 
24  48 


25  07 

24  15 

24  30 

23  38 

23  50 

23  10 

23  07 

22  18 

22  22 

21  34 

21  34 

20  47 

20  44 

19  59 

19  51 

19  08 

18  ss 

18  14 

17  5« 

17  18 

16  s8 

16  21 

15  56 

15  21 

14  18 
13  14 

12  08 
II  00 

9  51 
8  40 

7  28 
6  16 
5  02 
3  46 
2  32 
I  16 
o  00 


64° 


0  00 

1  21 

2  42 

4  02 

5  22 

6  41 

758 

9  13 

10  27 

11  40 

12  49 

13  56 

15  02 

16  05 

17  05 

18  03 
1857 

19  49 

20  37 

21  24 

22  07 

22  47 

23  25 

24  00 

24  31 

24  59 

25  25 

25  47 

26  07 
26  24 

26  39 
26  50 

26  59 

27  06 
27  09 
27  10 

27  08 
27  03 
26  56 
c6  46 
26  33 
26  18 

26  01 
25  41 
25  18 
24  53 
24  25 
23  55 

23  22 
22  48 
22  10 
21  29 
20  46 
20  02 

19  15 

18  25 

17  33 

16  40 

15  43 

14  45 

13  46 
12  43 
II  40 

10  35 
9  28 
8  20 

7  II 
6  01 

4  50 
3  38 
2  26 
I  13 
o  00 


65° 


66° 


0  00 

1  18 

2  35 

3  51 

5  08 

6  22 

7  36 
849 

9  59 

11  09 

12  16 

13  21 

14  24 

15  24 

16  22 

17  17 

18  09 

19  00 

19  47 

20  32 

21  14 

21  53 

22  29 

23  03 

23  33 

24  01 
24  25 

24  48 

25  07 
25  24 

2538 
25  49 

25  59 

26  05 
26  09 
26  09 

26  08 
26  03 
25  56 
25  47 
25  34 
25  20 

25  03 
24  44 
24  21 
23  57 
23  30 
23  02 

22  29 
21  56 
21  19 
20  41 

19  59 
19  16 

18  30 
17  42 
16  53 
16  00 
15  06 
14  II 

13  13 
12  14 
II  12 

10  09 
9  06 
8  00 

6  54 
5  46 
4  38 
3  29 
2  20 
I  10 
o  00 


1  14 

2  28 

3  41 

4  54 

6  05 

7  16 
825 
9  32 

10  38 

11  43 

12  46 

13  46 

14  44 

15  39 

16  32 

17  23 

18  II 

18  57 

19  40 

20  21 

20  59 

21  34 

22  07 

22  36 

23  03 
23  27 

23  49 

24  09 
24  25 

24  38 
24  50 

24  59 

25  04 
25  08 
is  09 

25  07 
25  03 
24  57 
24  47 
24  36 
24  22 

24  05 
23  47 
23  26 
23  02 
22  36 
22  o3 


67° 


3  30 

4  39 
548 

655 

8  01 

9  06 

10  10 

11  II 

12  10 

13  08 

14  04 

14  57 

15  49 

16  37 

17  24 

18  08 
18  49 
i;  28 
20  05 

20  38 

21  II 

21  39 

22  06 
22  29 

22  50 

23  09 
23  25 

23  38 
23  49 

23  57 

24  04 
24  07 
24  08 

24  07 
24  03 
23  57 
23  48 
23  37 
23  24 

23  08 
22  49 
22  29 
22  07 
21  42 
21  14 


68° 


21  37 

20  45 

21  05 

20  13 

20  29 

19  39 

19  52 

19  03 

19  12 

18  25 

18  30 

17  44 

17  46 

17  02 

17  00 

16  18 

16  12 

15  31 

15  22 

14  43 

14  29 

13  53 

13  36 

13  01 

12  41 

12  09 

II  44 

II  13 

10  45 

10  17 

9  44 

9  19 

8  43 

8  21 

7  40 

7.21 

6  37 

6  20 

5  32 

5  18 

4  26 

4  15 

3  21 

3  12 

2  14 

2  08 

I  07 

I  04 

0  00 

0  00 

0  00 

1  07 

2  13 

3  21 

4  26 

5  31 

635 

7  .38 

8  40 

9  40 

10  39 

11  36 

12  31 

13  24 

14  15 

15  05 

15  52 

16  36 

17  5^ 

18  36 

19  II 

19  44 

20  14 

20  42 

21  08 
21  31 

21  51 

22  09 
22  25 

22  38 
22  49 

22  57 

23  03 
23  07 
23  08 

23  07 
23  03 
22  58 
22  48 
22  38 
22  25 

22  10 

21  53 
21  33 
21  12 
20  47 
20  21 

19  52 
19  22 
18  49 
18  14 
17  38 
16  59 

16  19 

15  35 
14  51 
14  05 
13  17 
12  27 

II  37 

10  44 
9  50 
8  54 
7  59 
7  01 

6  03 
5  04 
4  03 
3  03 
2  02 
I  01 
o  00 


69° 


70° 


Hour  Angle. 


0  00 

1  03 

2  07 

3  10 

4  13 

5  14 

6  15 

7  15 

8  14 

9  12 

10  07 

11  02 

11  55 

12  45 

13  34 

14  22 

15  06 

15  49 

16  30 

17  08 

17  44 

18  18 

18  50 

19  19 

19  46 

20  II 
20  33 

20  53 

21  10 
21  26 

21  38 
21  49 

21  57 

22  03 
22  07 

»2   08 

22  07 
22  04 
21  58 
21  49 
21  40 
21  27 

21  13 
20  56 
20  37 
20  16 
19  52 
19  27 

19  01 
18  31 

17  59 
17  26 
16  52 
lf>  >4 

15  35 
14  54 
14  II 
13  27 
12  41 
II  54 

II  05 

10  15 
9  24 
8  30 
7  37 
6  42 

5  46 
4  50 
3  52 
2  55 
I  57 
o  59 
o  00 


0  00 

1  00 

2  01 

3  00 

4  00 
4  59 

556 
653 
7  49 
844 

9  36 

10  29 

11  18 

12  07 

12  54 

13  39 

14  22 

15  03 

15-42 

16  19 

16  53 

17  26 

17  57 

18  25 

18  50 

19  15 
19  36 

19  55 

20  12 
to   27 

20  39 
20  50 

20  57 

21  03 
21  07 
21  07 

21  07 
21  03 
20  58 
20  50 
20  41 
20  29 

20  15 
20  00 
19  42 
19  21 
18  59 
18  35 

18  09 

17  41 
17  II 
1638 
16  05 
15  29 

14  52 
14  13 
13  32 
12  50 
12  06 
II  21 

10  34 
9  46 
857 
8  06 

7  15 
6  23 

5  30 
4  35 
3  41 
2  47 
I  51 
o  56 
o  00 


o  00 

0  58 

1  54 

2  51 

3  47 

4  42 

536 

6  30 

7  23 

8  16 

9  06 

9  56 

'o  43 

11  29 

12  14 

12  56 

13  37 

14  16 

14  54 

15  29 

16  02 

16  33 

17  03 
17  29 

17  55 

18  18 
18  38 

18  57 

19  13 
19  27 

19  39 
19  49 

19  56 

20  02 
30  06 

2"  06 

20  06 
20  03 
1958 
19  51 
19  42 
IQ  30 

19  17 
19  02 

18  45 
18  26 
18  04 
17  42 

17  17 
16  50 
16  21 
15  51 
15  18 
14  44 

14  08 
13  32 
12  53 
12  12 
II  31 

10  48 

10  03 

9  17 
8  30 

7  42 
653 
6  03 

5  13 
•V  22 

3  30 
2  38 
I  46 
o  53 
o  00 


li. 
O 


10 


11 


12 


in. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
SO 

00 
10 

20 
30 
40 

50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
^O 

or» 
10 
20 
30 
40 
so 

00 

10 

20 
30 
40 

60 

00 
10 
20 
30 
40 
50 
00 


m  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  W  est. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  fron;  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


33 


AZIMUTH  OR  TRUE  BEARING. 


liATITUOE  7" 


DECLINATION— SAME  NAME  AS— LATITUDE. 


I^ATITUDE  7°. 


Hour  Angle. 


34° 


h. 

O 


lO 


11 


12 


m. 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
SO 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


O  OO 

7  46 
15  12 
22  07 
28  21 

33  51 

3836 
42  43 
46  15 

49  17 
51  53 

54  08 

56  05 

57  45 

59  II 

60  27 

61  32 

62  28 

63  18 

64  00 

64  37 

65  08 
65  35 

65  57 

66  15 
66  30 
66  42 
66  50 
66  56 
66  59 

6659 
6657 
66  52 
66  45 
6635 
66  24 

66  10 
65  53 
65  34 
65  13 
64  49 
64  23 

63  53 
63  21 
62  46 
62  08 
61  26 
60  41 

59  51 
5858 

58  00 
56  57 

55  49 
54  35 

53  15 
51  47 

50  13 
48  30 
46  38 
44  36 

42  25 
40  01 
37  25 

34  37 
31  34 
28  19 

24  49 
21  06 
17  II 
13  03 

8  48 
4  25 
o  00 


25° 


26° 


o  00 
7  17 
14  19 
20  53 
26  52 
32  II 

36  52 
40  56 
44  29 
47  32 
50  II 
52  28 

54  28 

56  10 

57  39 

58  58 

60  06 

61  05 

61  57 

62  42 

63  21 

63  54 

64  22 

64  47 

65  06 
65  22 
65  35 
65  45 


"5 
65 

5^ 

55  ^ 

65 

57 

65 

55 

65 

50 

65 

44 

65 

35 

65 

24 

65 

09 

64 

,54 

64 

35 

64 

14 

63 

49 

63 

23 

62 

54 

62 

22 

61 

46 

61 

o« 

60  26 

59  40 

,58 

50 

57 

56 

56 

57 

55  54 

54 

46 

53  31 

52 

II 

50  43 

49  07 

47  25 

45  33 

43  32 

41 

20 

•  3858 

36 

24 

33 

38 

30 

38 

27  27 

24 

02 

20 

25 

16 

36 

12 

36 

8 

30 

4 

16 

0 

00 

o  00 

651 
13  31 
19  46 

25  30 
30  40 

35  14 

39  16 
42  47 

45  51 

48  31 

50  50 

52  52 

5438 

56  II 

57  32 

58  42 

59  44 

60  38 

61  25 

62  05 

62  40 

63  II 
6336 

6358 

64  15 
64  29 
64  40 
64  47 
64  52 

64  53 
64  53 
64  49 
64  44 
64  35 
64  23 

64  10 
63  54 
63  35 
63  14 
62  51 
62  24 

61  54 
61  22 
60  47 
60  07 
59  25 
58  39 

57  49 
56  54 
55  56 
54  52 

53  43 
52  28 

51  07 

49  39 
48  04 

46  21 

44  30 
42  29 

40  19 
37  56 
35  25 
32  40 
29  45 

26  37 

23  16 

19  45 
16  02 
12  10 
8  II 
4  07 
o  00 


27°        28° 


29° 


o  00 
6  28 
12  46 
18  44 
24  15 
29  14 

33  42 
37  40 
41  09 

44  14 

46  55 

49  16 

51  20 
5308 

54  43 

56  06 

57  19 

58  23 

59  19 

60  08 

60  50 
6i  27 

61  59 

62  26 

62  49 

63  07 
63  23 
63  35 
63  44 
6348 

63  51 
63  51 
6348 
63  43 
63  35 
63  23 

63  10 
62  54 
62  36 
62  15 
61  51 
6l  25 

60  55 
60  23 

59  47 
5908 
58  25 
57  39 

56  48 

55  54 
54  55 
53  50 

52  41 
51  26 

50  04 
48  37 

47  01 

45  18 
43  27 
41  27 

39  18 
36  57 

34  28 
31  46 
28  53 
2548 

22  33 
19  07 
15  30 
II  46 
7  54 
358 
o  00 


o  00 
6  08 
12  06 
17  47 
23  04 

27  54 

32  16 
36  09 

39  37 
42  40 
45  22 
47  44 

49  5t> 

51  39 

53  17 

54  42. 

55  57 

57  03 

58  01 
5852 

59  36 

60  14 

60  48 

61  17 

61  40 

62  00 
62  17 
62  30 
62  39 
62  46 

62  49 
62  50 

62  47 
62  42 
62  34 
62  24 

62  II 
61  55 
61  37 
61  16 
60  53 
60  26 

59  55 
59  24 
58  47 
58  08 
57  26 
5638 

5548 
54  53 
53  53 

52  49 
51  39 

50  24 

49  03 
47  34 
45  59 
44  16 
42  26 

40  27 

38  18 
35  59 
33  31 
30  52 

28  02 
25  02 

21  52 
18  30 
15  01 
II  23 
7  39 
3  51 

O  CO 


o  00 

5  49 
II  30 
16  54 
21  59 
26  40 

30  54 
34  44 
3808 
41  10 
43  52 
46  15 

48  22 

50  13 

51  52 

53  19 

54  36 

55  44 

56  43 

57  36 

58  22 

59  02 

59  37 

60  07 


30° 


60 

32 

60 

53 

61 

10 

61 

24 

61 

35 

61 

42 

61  46 

61 

47 

61 

45 

61 

41 

61 

33 

61 

24 

61 

10 

60 

56 

60 

37 

60  16 

59  53 

59 

26 

.58.56I 

58 

24 

57  47  1 

57 

08 

56 

25 

55 

38 

54 

48 

53  52  1 

52  52  1 

51 

48 

50  37  1 

49 

22 

48 

01 

46 

32 

44  57  1 

43 

15 

41 

25 

39  27  1 

37 

19 

35 

02 

32 

36 

30 

00 

27 

13 

24 

17 

21 

10 

17  55 

14  32 

II 

01 

7  24 

3  43 

0 

00 

o  00 
5  32 
10  55 
16  06 
20  59 

25  29 

29  37 

33  22 
36  43 

39  44 

42  25 

44  48 

46  55 

48  48 

50  28 

51  58 

53  16 
55^  25 

55  27 

56  21 

57  09 

57  51 

58  26 
5858 

59  24 

59  47 

60  05 
60  19 
60  31 
60  39 

60  44 
60  45 
60  44 
60  40 
60  33 
60  24 

60  II 
59  56 
5938 
59  17 
5854 
58  27 

57  57 
57  24 
5648 
56  08 
55  25 

54  39 

5348 

52  52 
51  52 
50  48 

49  37 
48  22 

47  00 

45  33 

43  58 
42  16 

40  26 
38  29 

36  24 

34  07 
3T  44 
29  10 

26  27 
23  34 

20  32 
17  22 

14  04 
10  39 

7  09 
3  35 
o  00 


31° 


32° 


o  00 

5  15 
10  24 
15  21 
20  02 
24  24 

28  24 

32  03 
35  21 

38  21 

41  01 

43  24 

45  32 

47  26 

49  07 

50  37 

51  58 

53  09 

54  II 

55  07 

55  56 

56  39 

57  16 

57  49 

58  16 

58  40 
5859 

59  15 
59  27 
59  35 

59  41 
59  44 
59  43 
59  39 
59  32 
59  24 

59  12 
5857 
5838 
58  18 
57  55 
5728 

5658 
56  26 

55  49 
55  09 
54  27 
53  40 

52  48 
51  53 
50  53 
49  48 

48  38 
47  22 

46  01 

44  33 

42  59 
41  18 

39  29 
37  33 

35  28 

33  14 
30  54 
28  22 
25  42 
22  53 

19  55 
16  50 

1338 
10  18 
655 
3  28 
o  00 


O  00 

5  00 
9  55 

14  39 
19  09 

23  21 

27  15 
30  49 
34  04 

37  01 

39  40 

42  02 

44  II 

46  05 

47  47 

49  19 

50  39 

51  52 

52  56 

53  54 

54  43 

55  28 

56  06 

56  41 

57  09 
57  34 

57  54 

58  10 
5823 
5833 

5838 
5841 
5842 
5839 
5832 
5224 

58  n 
57  57 
57  39 
57  19 
5656 
56  29 

55  59 
55  27 
54  50 
54  II 
53  28 
52  40 

51  49 
50  53 
49  53 

48  48 
47  38 
46  23 

45  02 

43  35 
42  01 

40  21 

38  33 
36  37 

34  34 
32  22 
30  03 
27  35 

24  58 
22  13 

19  20 
16  19 
13  12 

9  59 

6  42 
3  22 
o  00 


33° 


o  00 
4  47 
9  27 
14  00 
18  19 


34° 


o  00 

4  33 
9  02 

13  23 

17  33 


35° 


22  23 

21  27 

26  09 

25  08 

2938 

28  32 

32  49 

31  39 

35  44 

34  30 

38  21 

3705 

40  43 

39  26 

42  51 

41  34 

44  45 

43  28 

46  28 

45  11 

48  01 

46  45 

49  23 

48  08 

50  37 

49  23 

51  42 

50  29 

52  40 

51  28 

53  32 

52  21 

54  17 

53  07 

54  57 

5348 

55  32 

54  23 

56  02 

54  54 

56  26 

55  20 

5648 

55  43 

57  05 

56  01 

57  18 

56  15 

57  29 

5626 

57  35 

5^  33 

57  40 

5638 

57  40 

5638 

57  37 

5636 

57  32 

56  31 

57  24 

56  23 

57  " 

56  12 

.56.58 

5558 

56  40 

55  41 

56  20 

55  20 

55  57 

54  57 

55  29 

54  31 

55  00 

54  01 

54  28 

53  29 

53  52 

52  52 

53  12 

52  13 

52  29 

51  30 

51  42 

50  42 

50  50 

49  51 

49  54 

4856 

48  55 

47  55 

47  49 

46  52 

46  40 

45  41 

45  24 

44  26 

44  03 

43  05 

42  36 

41  40 

41  03 

40  07 

39  23 

38  28 

37  36 

36  42 

35  43 

34  50 

33  41 

32  50 

31  31 

30  42 

29  14 

28  27 

26  48 

26  05 

24  15 

23  M 

21  33 

20  56 

1845 

«8  12 

15  50 

15  21 

12  48 

12  24 

940 

9  23 

6  29 

6  18 

3  15 

3  09 

0  00 

0  00 

O  00 

4  21 
8  39 
12  49 

16  49 
20  36 

24  09 
27  28 

3<^  30 
33  19 
35  52 

38  II 

40  19 

42  13 

43  57 

45  30 

46  54 

48  09 

49  16 

50  17 

51  ID 

51  58 

52  39 

53  16 

5348 

54  15 
5438 

54  56 

55  II 
55  23 

55  31 
55  35 
55  37 
55  35 
55  31 
55  23 

55  12 
5458 
54  42 
54  22 
53  59 
53  33 

53  03 
52  31 
51  54 
51  15 
50  32 
49  45 

48  54 

47  58 
46  58 
45  53 

44  44 
43  30 

42  09 
40  44 

39  12 
37  33 
35  49 
3358 

32  00 
29  54 
27  42 

25  22 
22  54 
20  20 

17  40 

14  54 
12  02 
9  06 
6  06 

.3  04 
o  00 


Hour  Angle. 


e 


10 


11 


12 


m. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
60 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East:  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hcur  angle  and  tht 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


41224°— 16- 


-3 


84 


AZIMJTH  OR  TRUE  BEARING. 


IjATITUDE  7 

0, 

DECLINATION- 

-SAME  KAME  AS— I^ATITUDE. 

L.ATITUDE:  7°. 

Hour  An 

gle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

440 

45° 

46° 

47° 

Hour  Angle. 

b. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  t 

0  / 

0  / 

0  / 

0  / 

0  / 

h.    ni. 

O 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

4  10 

3  59 

3  49 

3  39 

3  31 

3  22 

3  14 

307 

2  59 

2  52 

2  46 

2  39 

10 

20 

8  i6 

7  55 

7  35 

7  17 

7  00 

6  42 

6  27 

6  II 

5  57 

5  42 

5  29 

5  17 

20 

30 

12  l6 

II  46 

II  17 

10  49 

10  23 

9  58 

9  35 

9  13 

8  52 

8  31 

8  II 

7  52 

30 

40 

i6  07 

15  27 

14  51 

14  15 

13  42 

13  09 

12  39 

12  11 

II  43 

II  16 

10  50 

10  25 

40 

50 

19  47 

18  59 

18  15 

17  32 

16  53 

16  14 

15  36 

15  01 

14  27 

13  56 

13  24 

12  53 

50 

1 

OO 

23  13 

22  20 

21  28 

20  40 

19  54 

19  10 

18  26 

17  46 

17  07 

16  29 

15  53 

15  18 

1     00 

lO 

26  26 

25  28 

24  31 

23  37 

22  46 

21  56 

21  09 

20  23 

19  39 

18  57 

18  16 

17  36 

10 

. 

20 

29  25 

28  22 

27  22 

26  23 

25  27 

24  34 

23  42 

22  52 

22  03 

21  18 

20  32 

-  19  48 

20 

30 

32  10 

31  04 

30  00 

2859 

27  59 

27  02 

26  06 

25  13 

24  20 

23  31 

22  41 

21  55 

30 

40 

34  41 

33  33 

32  26 

31  22 

30  20 

29  20 

28  22 

27  24 

26  29 

25  37 

24  45 

23  54 

40 

50 

36  59 

35  49 

34  41 

33  34 

32  30 

31  28 

30  27 

29  28 

28  30 

27  35 

26  40 

25  47 

50 

2 

OO 

39  05 

37  54 

36  45 

35  37 

34  30 

33  26 

32  23 

"31  23 

30  23 

29  25 

28  28 

27  32 

2     00 

10 

40  59 

39  47 

38  37 

37  29 

36  21 

35  16 

34  12 

33  09 

32  08 

31  08 

30  09 

29  10 

10 

20 

42  43 

41  31 

40  20 

39  II 

3803 

3656 

35  51 

34  48 

33  44 

32  43 

31  43 

30  44 

20 

30 

44  17 

43  04 

41  53 

40  44 

39  36 

38  28 

37  22 

36  17 

35  14 

34  12 

33  10 

32  10 

30 

40 

45  41 

44  29 

43  19 

42  08 

41  00 

39  53 

38  46 

37  41 

36  37 

35  34 

34  31 

33  31 

40 

50 

46  56 

45  45 

44  34 

43  25 

42  17 

41  10 

40  03 

3857 

37  52 

36  49 

35  46 

34  44 

50 

3 

OO 

48  04 

46  53 

45  44 

44  35 

43  27 

42  19 

41  13 

40  06 

39  02 

3758 

36  54 

35  51 

3     00 

lO 

49  05 

47  56 

46  46 

45  37 

44  30 

43  22 

42  16 

41  10 

40  05 

39  01 

37  57 

36  54 

10 

20 

50  00 

48  51 

47  42 

46  34 

45  26 

44  19 

43  13 

42  08 

41  02 

3958 

38  54 

37  50 

20 

30 

50  48 

49  39 

48  31 

47  24 

46  17 

45  10 

44  05 

42  59 

41  54 

40  49 

39  46 

38  42 

30 

40 

51  31 

50  23 

49  16 

48  09 

47  02 

45  56 

44  51 

43  46 

42  40 

41  36 

40  32 

39  29 

40 

50 

52  08 

51  01 

49  55 

48  49 

47  43 

46  37 

45  31 

44  26 

43  22 

42  18 

41  13 

40  10 

50 

4 

OO 

52  41 

51  35 

50  28 

49  23 

48  17 

47  12 

46  08 

45  03 

43  59 

42  55 

41  51 

40  48 

4     00 

lO 

53  09 

52  03 

50  58 

49  52 

48  48 

47  44 

46  39 

45  35 

44  31 

43  27 

42  23 

41  21 

10 

20 

53  32 

52  27 

51  23 

50  19 

49  15 

48  10 

47  06 

46  03 

44  59 

43  56 

42  52 

41  50 

20 

30 

53  52 

52  48 

51  44 

50  40 

49  36 

48  32 

47  29 

46  26 

45  23 

44  20 

43  17 

42  14 

30 

40 

54  P8 

53  04 

52  01 

5058 

49  54 

48  51 

47  48 

46  45 

45  42 

44  40 

43  37 

42  35 

40 

60 

54  20 

53  17 

52  14 

51  11 

50  09 

49  06 

48  03 

47  01 

45  59 

44  57 

43  54 

42  52 

50 

5 

OO 

54  29 

53  26 

52  24 

51  21 

50  19 

49  17 

48  15 

47  13 

46  11 

45  09 

44  07 

43  05 

5     00 

10 

54  34 
54  36 

53  31 

52  30 

51  28 

50  26 

49  25 

48  23 

47  21 

46  20 

45  19 

44  16 

43  15 

10 

20 

53  34 

52  33 

51  32 

50  31 

49  29 

48  27 

47  26 

46  25 

45  24 

44  22 

43  21 

20 

30 

54  35 

53  34 

52  33 

51  32 

50  31 

49  30 

4829 

47  28 

46  27 

45  27 

44  25 

43  24 

30 

40 

54  30 

53  30 

52  29 

51  28 

50  28 

49  27 

48  26 

47  27 

46  26 

45  25 

44  24 

43  23 

40 

50 

54  23 

53  23 

52  22 

51  22 

50  22 

49  22 

48  21 

47  22 

46  21 

45  21 

44  20 

43  20 

50 

6 

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54  12 

53  12 

52  13 

51  13 

50  13 

49  13 

48  13 

47  13 

46  13 

45  13 

44  13 

43  13 

6     00 

10 

5358 

52  58 

51  59 

50  59 

50  00 

49  01 

48  01 

47  02 

46  02 

45  03 

44  02 

43  02 

10 

20 

53  42 

52  43 

51  43 

50  44 

49  44 

48  45 

47  46 

46  47 

45  48 

44  48 

43  49 

42  49 

20 

30  ' 

53  22 

52  23 

51  24 

50  25 

49  26 

48  27 

47  28 

46  29 

45  30 

44  31 

43  32 

42  33 

30 

40 

53  00 

52  00 

51  01 

50  03 

49  04 

48  05 

47  06 

46  08 

45  09 

44  II 

43  II 

42  13 

40 

SO 

52  34 

51  35 

50  37 

49  37 

48  39 

47  41 

46  42 

45  44 

44  45 

43  48 

42  48 

41  50 

50 

7 

OO 

52  04 

51  06 

50  07 

49  09 

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47  12 

46  14 

45  16 

44  18 

43  20 

42  22 

41  24 

7     00 

lO 

51  31 

50  33 

49  36 

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47  39 

46  41 

45  43 

44  46 

43  48 

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41  51 

40  54 

10 

20 

50  56 

49  58 

48  59 

48  02 

47  03 

46  05 

45  07 

44  II 

43  13 

42  16 

41  19 

40  21 

20 

30 

50  16 

49  18 

48  21 

47  22 

46  25 

45  27 

44  30 

43  33 

42  35 

41  39 

40  41 

39  45 

30 

40 

49  33 

48  35 

47  37 

46  39 

45  41 

44  45 

43  48 

42  52 

41  54 

40  58 

40  02 

39  05 

40 

50 

48  46 

47  48 

46  51 

45  53 

44  56 

44  00 

43  03 

42  07 

41  09 

40  14 

39  18 

38  22 

60 

8 

OO 

47  54 

46  57 

46  00 

45  03 

44  06 

43  09 

42  13 

41  17 

40  21 

39  25 

38  30 

37  35 

8     00 

10 

46  59 

46  02 

45  05 

44  08 

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42  15 

41  19 

40  24 

39  29 

38  34 

37  39 

36  44 

10 

20 

46  00 

45  03 

44  06 

43  09 

42  14 

41  17 

40  22 

39  27 

3833 

3738 

36  44 

35  50 

20 

30 

44  55 

43  59 

43  03 

42  06 

41  10 

40  16 

39  21 

38  26 

37  32 

3638 

35  45 

34  53 

30 

40 

43  47 

42  50 

41  54 

40  58 

40  03 

39  09 

38  14 

37  21 

36  27 

35  35 

34  42 

33  50 

40 

50 

42  32 

41  36 

40  41 

39  46 

3851 

3758 

37  05 

36  II 

35  19 

34  28 

33  36 

32  45 

50 

9 

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41  12 

40  17 

39  22 

3828 

37  34 

36  41 

35  49 

34  57 

34  06 

33  15 

32  24 

31  35 

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39  48 

3852 

37  59 

37  05 

36  13 

35  21 

34  30 

33  39 

32  48 

31  59 

31  09 

30  21 

10 

20 

38  16 

37  23 

36  30 

35  37 

34  46 

33  55 

33  04 

32  16 

31  27 

30  37 

29  49 

29  03 

20 
30 

30 

36  39 

35  47 

34  56 

34  04 

33  13 

32  24 

31  35 

30  47 

29  59 

29  13 

28  26 

27  41 

40 

34  56 

34  04 

33  14 

32  24 

31  35 

30  47 

30  00 

29  14 

28  28 

27  42 

26  58 

25  14 

40 

50 

33  06 

32  16 

31  28 

30  39 

29  52 

29  05 

28  20 

27  35 

26  51 

26  08 

25  25 

24  43 

50 

lO 

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31  10 

30  21 

29  35 

28  49 

28  03 

27  19 

26  35 

25  53 

25  10 

24  29 

2348 

23  09 

10     00 

10 

29  06 

28  21 

27  35 

26  52 

26  08 

25  26 

24  45 

24  04 

■23  24 

22  46 

22  07 

21  30 

10 

20 

26  57 

26  13 

25  31 

24  48 

24  08 

23  28 

22  50 

22  12 

21  35 

20  59 

20  22 

19  47 

20 

30 

24  39 

23  58 

23  19 

22  39 

22  02 

21  25 

20  49 

20  14 

19  40 

19  07 

1833 

18  01 

30 

40 

22  15 

21  38 

21  01 

20  26 

19  50 

19  17 

18  44 

18  13 

17  41 

17  II 

16  40 

16  II 

40 

50 

19  45 

19  II 

18  38 

18  06 

17  35 

17  03 

16  35 

16  06 

1538 

15  II 

14  44 

14  17 

50 

11 

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17  08 

16  39 

16  09 

15  42 

15  14 

14  47 

14  22 

13  56 

13  31 

13  07 

12  44 

12  21 

11     00 
10 

lO 

14  27 

14  01 

13  36 

13  12 

12  48 

12  27 

12  04 

II  43 

II  22 

II  02 

10  42 

10  22 

20 

II  40 

II  19 

10  59 

10  39 

10  20 

10  02 

9  44 

9  26 

9  09 

852 

8  36 

8  21 

20 

30 

8  48 

832 

817 

8  02 

7  47 

7  34 

7  20 

7  07 

6  54 

6  41 

6  29 

6  18 

30 

40 

50 

12     00 

40 

5  54 

5  43 

5  33 

5  23 

5  13 

5  04 

4  54 

4  45 

4  37 

4  29 

4  20 

^^1 

50 

258 

2  52 

2  47 

2  42 

2  37 

2  32 

2  27 

2  23 

2  19 

2  15 

2  10 

2  06 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


35 


AZIMUTH  OR  TRUE   BEARING. 


liATITUDE  7 

o. 

DECLINATION— 

SAME  NAME 

AS-LATITUDE. 

I^ATITUDE  7°. 

Hour  An 

gle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Honr  Angle. 

Ii. 

in. 

o  / 

0  / 

0  f 

0  ' 

0  / 

0  ' 

0  ' 

0  ' 

0  / 

0  / 

0  / 

0  / 

b.    ni. 

O 

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0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

2  33 

2  27 

2  22 

2  16 

2  ID 

2  05 

2  00 

I  56 

I  51 

I  46 

I  42 

138 

10 

20 

5  05 

4  53 

4  42 

4  31 

4  20 

4  10 

4  00 

3  50 

3  42 

3  32 

3  24 

3  16 

20 

30 

7  34 

7  17 

7  00 

6  44 

6  29 

6  14 

5  59 

5  45 

5  32 

5  18 

§°5 

i^l 

30 

40 

lO  02 

9  39 

9  17 

8  56 

»  35 

8  15 

756 

738 

7  19 

7  02 

6  45 

6  28 

40 

50 

12  24 

11  57 

II  30 

II  04 

10  39 

10  15 

9  51 

9  28 

9  06 

8  44 

8  23 

8  02 

50 

1 

OO 

14  43 

14  II 

13  39 

13  09 

12  39 

12  10 

II  43 

II  15 

10  50 

10  24 

9  59 

9  34 

1     00 

lO 

16  58 

16  20 

15  44 

15  10 

14  37 

14  03 

13  32 

13  00 

12  31 

12  01 

II  33 

II  05 

10 

20 

19  06 

18  25 

17  45 

17  06 

16  29 

15  53 

15  17 

14  42 

14  09 

13  36 

13  04 

12  33 

20 

30 

21  08 

20  24 

19  40 

18  59 

18  18 

17  37 

16  59 

16  21 

15  44- 

15  08 

14  32 

1358 

30 

40 

23  05 

22  17 

21  31 

20  45 

'20  02 

19  18 

1836 

17  56 

17  16 

16  36 

1558 

15  20 

40 

50 

24  54 

24  04 

23  15 

22  27 

21  40 

20  54 

20  09 

19  26 

18  43 

18  01 

17  19 

16  39 

50 

2 

OO 

26  39 

25  46 

24  53 

24  03 

23  14 

22  25 

21  38 

20  52 

20  06 

19  22 

18  38 

17  56 

2     00 

lO 

28  15 

27  21 

26  27 

25  34 

24  43 

23  52 

23  02 

22  14 

21  26 

20  39 

19  52 

19  08 

10 

20 

29  47 

28  50 

27  54 

26  59 

26  07 

25  14 

24  22 

23  31 

22  41- 

21  52 

21  04 

20  17 

20 

30 

31  II 

30  14 

29  16 

28  20 

27  25 

26  30 

25  38 

24  45 

23  53 

23  02 

22  12 

21  23 

30 

40 

32  30 

31  31 

30  33 

29  34 

2838 

27  43 

26  48 

^554 

25  01 

24  08 

23  15 

22  25 

40 

50 

33  43 

32  42 

31  43 

30  44 

29  47 

28  49 

27  53 

26  58 

26  04 

25  09 

24  16 

23  24 

50 

3 

OO 

34  50 

33  49 

32  48 

31  49 

30  51 

29  52 

28  55 

2758 

27  02 

26  07 

25  12 

24  19 

3     00 

lO 

35  52 

34  50 

33  49 

32  49 

31  50 

30  50 

29  52 

28  55 

27  58 

27  01 

26  05 

25  10 

10 

20 

3648 

35  46 

34  45 

33  44 

32  44 

31  44 

30  45 

29  46 

28  48 

27  51 

26  54 

25  58 

20 

30 

37  39 

36  37 

35  35 

34  33 

33  33 

32  33 

31  33 

30  34 

29  35 

28  37 

27  39 

26  42 

30 

40 

38  25 

37  23 

36  21 

35  19 

34  19 

33  18 

32  18 

31  18 

30  18 

29  19 

28  21 

27  23 

40 

50 

39  08 

3805 

37  03 

36  01 

35  00 

3358 

32  57 

31  58 

3058 

2958 

2859 

28  00 

50 

4 

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39  45 

38  42 

37  39 

3638 

35  37 

34  34 

33  34 

32  33 

31  33 

30  33 

29  33 

28  34 

4     00 

lO 

40  18 

39  15 

38  13 

37  II 

3^  '2 

35  07 

34  06 

33  06 

32  05 

31  05 

30  04 

29  05 

10 

20 

40  47 

39  44 

38  41 

37  40 

3638 

35  36 

34  35 

33  34 

32  33 

31  32 

30  32 

29  32 

20 

30 

41  II 

40  09 

39  07 

38  04 

37  03 

36  01 

35  00 

3358 

32  57 

31  57 

30  56 

29  56 

30 

40 

41  32 

40  30 

3928 

38  27 

37  24 

36  22 

35  21 

34  21 

33  19 

32  18 

31  17 

30  17 

40 

50 

41  50 

40  48 

39  46 

38  44 

37  42 

36  40 

35  39 

34  38 

33  37 

32  36 

31  34 

30  34 

50 

5 

OO 

42  03 

41  01 

40  00 

3858 

37  56 

36  55 

35  53 

34  52 

33  51 

32  50 

31  49 

30  49 

5     00 

lO 

42  13 

41  II 

40  II 

39  09 

38  07 

37  06 

36  05 

35  04 

34  02 

33  02 

32  01 

31  00 

10 

20 

42  20 

41  19 

40  17 

39  16 

38  15 

37  14 

36  12 

35  12 

34  10 

33  10 

32  09 

31  08 

20 

30 

42  23 

41  22 

40  21 

39  20 

38  19 

37  18 

36  17 

35  16 

34  16 

33  15 

32  14 

31  13 

30 

40 

42  23 

41  23 

40  22 

39  21 

38  20 

37  19 

36  18 

35  19 

34  18 

33  17 

32  16 

31  15 

40 

50 

42  19 

41  19 

40  18 

39  18 

38  18 

37  18 

36  17 

35  17 

34  16 

33  16 

32  16 

31  15 

50 

6 

OO 

42  13 

41  13 

40  13 

39  13 

38  13 

37  12 

36  12 

35  12 

34  12 

33  12 

32  II 

31  II 

6     00 

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42  03 

41  03 

40  03 

69  03 

38  04 

37  03 

36  04 

35  04 

34  04 

33  05 

32  04 

31  05 

10 

20 

41  50 

40  51 

39  51 

3852 

37  52 

36  52 

35  53 

34  54 

33  55 

32  55 

31  56 

30  56 

20 

30 

41  34 

40  34 

39  36 

38  37 

3738 

36  39 

35  40 

34  40 

33  41 

3243 

31  43 

30  45 

30 

40 

41  14 

40  16 

39  17 

38  18 

37  20 

36  21 

35  22 

34  24 

33  25 

32  27 

31  28 

30  29 

40 

50 

40  52 

39  54 

3855 

3758 

36  59 

36  00 

35  02 

34  04 

33  06 

32  08 

31  09 

30  12 

50 

7 

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40  26 

39  28 

38  30 

37  32 

36  34 

35  36 

34  39 

33  42 

32  43 

31  46 

30  48 

29  51 

7     00 

lO 

39  57 

3859 

38  02 

37  04 

36  07 

35  10 

34  12 

33  16 

32  19 

31  22 

30  25 

29  28 

IQ 

20 

39  24 

38  27 

37  30 

36  33 

35  36 

34  39 

33  43 

32  47 

31  51 

30  54 

29  58 

29  02 

20 

30 

3848 

37  52 

3656 

35  59 

35  03 

34  06 

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32  16 

31  20 

30  24 

2928 

28  33 

30 

40 

3809 

37  13 

36  17 

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34  26 

33  31 

32  35 

31  41 

30  45 

29  50 

28  56 

28  01 

40 

60 

37  27 

36  32 

35  36 

34  41 

33  47 

32  51 

31  57 

31  03 

30  08 

29  14 

28  20 

27  27 

50 

8 

OO 

36  40 

35  46 

34  51 

33  57 

33  03 

32  08 

31  15 

•  30  22 

29  28 

28  35 

27  42 

26  50 

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35  51 

34  57 

34  03 

33  09 

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31  23 

30  30 

29  38 

2846 

27  53 

27  01 

26  10 

10 

20 

34  57 

34  04 

33  II 

32  18 

31  26 

30  34 

29  42 

28  51 

28  00 

27  08 

26  17 

25  27 

20 

30 

34  <x> 

33  08 

32  15 

31  24 

30  33 

29  41 

28  51 

28  01 

27  10 

26  21 

25  30 

24  42 

30 

40 

32  59 

32  08 

31  17 

30  26 

2936 

28  46 

27  56 

27  07 

26  18 

25  30 

24  42 

23  53 

40 

50 

31  54 

31  04 

30  14 

29  25 

2836 

27  46 

26  58 

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25  23 

24  36 

2348 

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50 

9 

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30  45 

29  56 

29  07 

28  19 

27  32 

26  44 

25  58 

25  II 

24  25 

23  39 

22  54 

22  08 

9     00 

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29  32 

28  45 

27  57 

27  II 

26  26 

25  39 

24  53 

24  09 

23  23 

22  40 

21  55 

21  12 

10 

20 

28  15 

27  30 

26  44 

25  59 

25  14 

24  30 

23  46 

23  03 

22  20 

21  37 

20  55 

20  14 

20 

30 

26  55 

26  10 

25  s6 

24  44 

24  01 

23  17 

22  35 

21  54 

21  13 

20  32 

19  52 

19  12 

30 

40 

25  30 

24  47 

24  06 

23  24 

22  43 

22  02 

21  22 

20  43 

20  03 

19  24 

18  46 

18  08 

40 

50 

24  02 

23  21 

22  41 

22  01 

21  22 

20  43 

20  05 

19  28 

18  51 

18  14 

17  37 

17  01 

50 

lO 

OO 

22  30 

21  50 

21  12 

20  35 

19  59 

19  21 

18  46 

18  10 

17  36 

17  01 

16  27 

15  54 

10     00 

10 

20  53 

20  17 

19  40 

19  06 

18  32 

17  57 

17  23 

16  51 

16  18 

15  46 

15  14 

14  42 

10 

20 

19  13 

18  40 

18  06 

17  33 

17  01 

16  29 

1558 

15  28 

1458 

14  28 

13  59 

13  29 

20 

30 

17  30 

16  58 

16  27 

15  58 

15  28 

14  59 

14  30 

14  02 

13  34 

13  07 

12  41 

12  15 

30 

40 

15  42 

15  13 

14  47 

14  19 

13  52 

13  26 

13  00 

(2  35 

12  10 

II  46 

II  21 

10  58 

40 

50 

13  51 

13  27 

13  02 

12  38 

12  14 

II  51 

II  29 

II  05 

10  43 

10  22 

10  00 

9  39 

50 

11 

OO 

II  58 

II  36 

II  15 

10  54 

10  33 

10  13 

254 

9  35 

9  15 

8  56 

837 

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11     00 

lO 

10  03 

9  44 

9  26 

9  09 

8  52 

8  M 

8  18 

8  02 

7  45 

7  30 

7  14 

658 

10 

20 

8  05 

7  50 

736 

7  21 

7  07 

653 

6  40 

6  26 

6  14 

6  01 

5  48 

5  35 

20 

30 

6  05 

5  55 

5  43 

5  33 

5  22 

5  " 

5  01 

4  51 

4  42 

4  32 

4  22 

4  12 

30 

40 

4  05 

3  57 

3  49 

3  42 

3  35 

328 

3  22 

3  15 

3  08 

3  01 

256 

2  49 

40 

50 

2  02 

I  59 

I  55 

I  51 

I  48 

I  44 

I  40 

I  37 

I  35 

I  31 

I  28 

I  25 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  >"orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


36 


AZIMUTH  OR  TRUE  BEARING. 


L.ATITUDE  7°. 

DECLINATION— SAME  NAME  AS— 

LATITUDE. 

liATITUDE  7°. 

Hour  An 

gle. 

60° 

61° 

6a° 

163° 

64° 

65° 

66°  1 

67° 

168° 

6»° 

70° 

Hour  ABgIe« 

b. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  r 

0  ' 

0  ' 

0  ' 

0  / 

0  r 

li<    m. 

0 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

00 

10 

I  34 

I  30 

I  26 

I  22 

I  18 

I  15 

I  II 

I  08 

I  04 

I  01 

0  57 

10 

20 

3  07 

3  00 

2  51 

2  44 

2  37 

2  29 

2  22 

2  15 

2  08 

2  01 

I  54 

ao 

30 

4  4° 

4  29 

4  16 

4  05 

3  54 

3  43 

3  32 

3  23 

3  12 

3  02 

2  52 

30 

40 

6  12 

5  56 

5  41 

5  26 

5  10 

456 

4  43 

4  28 

4  15 

4  02 

3  49 

40 

50 

7  42 

7  23 

7  04 

6  45 

627 

6  06 

5  51 

5  34 

5  18 

5  01 

4  45 

50 

1 

OO 

9  II 

8  48 

8  25 

8  03 

7  41 

7  20 

7  00 

6  38 

6  19 

5  59 

5  40 

1   00 

lO 

10  38 

10  II 

9  45 

9  19 

855 

8  30 

8  06 

7  43 

7  20 

6  57 

6  34 

10 

30 

12  02 

II  32 

II  03 

10  34 

10  06 

9  39 

9  12 

8  45 

8  19 

I  53 

728 

ao 

30 

13  24 

12  51 

12  19 

II  47 

II  16 

10  45 

10  14 

9  45 

9  16 

8  48 

8  19 

30 

40 

14  44 

14  08 

13  31 

12  57 

12  23 

II  49 

II  17 

10  44 

10  13 

9  41 

9  10 

40 

50 

16  00 

15  21 

14  43 

14  05 

13  28 

12  53 

12  17 

II  42 

II  08 

10  33 

9  59 

50 

2. 

OO 

17  13 

16  32 

15  51 

15  II 

14  31 

13  53 

13  15 

12  37 

12  or 

II  24 

10  48 

a   00 

lO 

18  24 

17  40 

16  56 

16  14 

15  32 

14  51 

14  II 

13  31 

12  52 

12  13 

II  34 

10 

ao 

19  31 

18  44 

17  59 

17  14 

16  31 

15  47 

15  04 

14  22 

13  41 

13  00 

12  19 

ao 

30 

20  35 

19  46 

18  59 

18  13 

17  26 

16  41 

1556 

'5  " 

14  28 

13  45 

13  02 

30 

40 

21  35 

20  45 

19  56 

19  07 

18  18 

17  32 

16  45 

15  58 

15  13 

14  28 

13  43 

40 

50 

22  32 

21  40 

20  49 

19  59 

19  09 

18  20 

17  32 

16  44 

15  56 

15  09 

14  22 

50 

3 

OO 

23  25 

22  32 

21  39 

20  47 

19  57 

19  06 

18  16 

17  25 

16  36 

15  48 

15  00 

3   00 

10 

24  15 

23  21 

22  27 

21  34 

20  41 

19  50 

18  58 

18  06 

17  15 

16  25 

15  35 

10 

ao 

25  01 

24  06 

23  II 

22  17 

21  22 

20  29 

19  36 

18  43 

'Z  5^ 

16  59 

16  08 

ao 

30 

25  45 

26  25 

24  49 

23  52 

22  57 

22  02 

21  07 

20  12 

19  18 

18  25 

17  32 

16  39 

30 

40 

25  27 

24  31 

23  34 

22  38 

21  42 

2047 

19  51 

18  56 

18  02 

17  09 

40 

50 

27  01 

26  04 

25  06 

24  08 

23  II 

22  15 

21  18 

20  21 

19  26 

18  31 

17  35 

50 

4 

OO 

27  34 

2636 

25  37 

24  39 

23  41 

22  44 

21  46 

20  48 

19  53 

1856 

18  00 

4   00 

lO 

28  04 

27  06 

26  06 

25  08 

24  09 

23  II 

22  12 

21  14 

20  17 

19  20 

18  22 

10 

ao 

28  32 

27  31 

26  32 

25  33 

24  33 

23  34 

22  36 

21  37 

20  39 

19  41 

18  43 

ao 
30 

30 

28  55 

27  55 

26  55 

25  55 

24  55 

23  56 

22  56 

21  57 

20  59 

20  00 

19  01 

40 

29  16 

28  16 

27  15 

26  14 

25  14 

24  14 

23  15 

22  15 

21  16 

20  16 

19  18 

40 

SO 

29  33 

28  32 

27  32 

26  31 

25  31 

24  30 

23  30 

22  30 

21  31 

20  31 

19  31 

50 

& 

OO 

29  47 

28  47 

27  46 

26  45 

25  45 

24  44 

23  44 

22  43 

21  43 

20  44 

19  43 

5   00 
10 
ao 

lO 

29  59 

28  58 

27  57 

26  56 

25  56 

24  54 

23  54 

22  53 

21  54 

20  54 

19  52 

20 

30  07 

29  06 

28  05 

27  04 

26  03 

25  03 

24  02 

23  01 

22  01 

21  01 

20  00 

30 

30  13 

29  II 

28  II 

27  10 

26  09 

25  08 

24  08 

23  06 

22  06 

21  06 

20  05 

30 

40 

30  14 

29  15 

28  14 

27  13 

26  12 

25  II 

24  10 

23  09 

22  10 

21  09 

20  08 

40 

50 

30  15 

29  14 

28  13 

27  12 

26  12 

25  12 

24  II 

23  II 

22  II 

21  10 

20  09 

50 

6 

OO 

30  II 

29  II 

28  10 

27  10 

26  09 

25  10 

24  10 

23  09 

22  09 

21  09 

20  08 

6    00 

10 

30  05 

29  06 

28  06 

27  05 

26  05 

25  06 

24  05 

23  05 

22  05 

21  05 

20  05 

10 

ao 

a9  57 

28  57 

27  57 

26  57 

2557 

24  59 

23  59 

22  58 

21  59 

21  00 

20  00 

ao 
30 

30 

29  45 

28  46 

27  46 

■26  47 

2548 

24  49 

23  49 

22  50 

21  51 

20  52 

19  53 

40 

29  30 

28  31 

27  33 

26  34 

25  36 

24  36 

2338 

22  39 

21  39 

20  42 

19  43 

40 

50 

29  14 

28  16 

27  17 

26  19 

25  20 

24  23 

23  24 

22  26 

21  28 

20  30 

19  32 

50 

7 

OO 

28  54 

27  55 

2658 

26  01 

25  03 

24  05 

23  09 

22  10 

21  13 

20  16 

19  18 

7   00 

lO 

28  31 

27  33 

26  37 

25  40 

24  43 

23  46 

22  50 

21  52 

20  56 

20  00 

19  03 

10 

ao 

28  05 

27  09 

26  13 

25  17 

24  20 

23  24 

22  29 

21  32 

20  37 

19  41 

18  45 

ao 

30 

27  37 

26  42 

25  47 

24  51 

23  56 

23  01 

22  06 

21  10 

/20  15 

19  20 

18  25 

30 

40 

27  06 

26  12 

25  17 

24  23 

23  28 

22  34 

21  40 

20  46 

19  53 

18  59 

18  04 

40 

60 

26  32 

25  39 

24  45 

23  52 

22  59 

22  06 

21  13 

20  20 

19  27 

18  34 

17  40 

60 

8 

OO 

25  56 

25  04 

24  12 

23  19 

22  27 

21  35 

20  43 

19  51 

1859 

18  08 

17  15 

8     00 
10 

10 

25  17 

24  27 

23  35 

22  43 

21  52 

21  02 

20  II 

19  19 

18  30 

17  39 

16  49 

ao 

24  36 

23  45 

22  55 

22  05 

21  16 

20  26 

19  37 

18  47 

17  58 

17  09 

16  20 

ao 
30 

30 

23  52 

23  02 

22  14 

21  25 

20  37 

19  48 

19  00 

18  II 

17  24 

16  37 

15  49 

40 

23  05 

22  18 

21  29 

20  42 

19  56 

19  09 

18  22 

17  35 

16  49 

16  03 

15  16 

40 

50 

22  16 

21  29 

20  43 

1958 

19  12 

18  27 

17  42 

16  56 

16  12 

15  27 

14  43 

50 

9 

OO 

21  23 

20  38 

19  54 

19  10 

18  26 

17  43 

16  59 

16  16 

15  32 

14  50 

14  06 

»   00 

lO 

20  29 

19  46 

19  02 

18  20 

17  38 

1656 

16  14 

15  33 

14  52 

14  10 

13  30 

10 

ao 

19  32 

18  51 

18  09 

17  29 

16  48 

16  08 

15  28 

14  48 

14  09 

13  30 

12  50 

ao 
30 
40 
50 

30 

18  32 

17  52 

17  14 

16  34 

15  56 

15  18 

14  40 

14  02 

13  25 

12  47 

12  10 

40 

17  30 

16  52 

16  16 

15  39 

15  02 

14  26 

13  50 

13  14 

12  39 

12  03 

II  29 

. 

50 

16  26 

15  51 

15  16 

14  41 

14  06 

13  33 

12  59 

12  24 

11  51 

II  18 

10  45 

lO 

OO 

15  19 

14  46 

14  14 

13  41 

13  08 

12  37 

12  06 

II  33 

II  02 

10  32 

10  01 

10   00 
10 

lO 

14  10 

13  40 

13  10 

12  39 

12  09 

II  40 

II  II 

10  41 

10  12 

9  44 

2  '^ 

ao 

13  00 

12  32 

12  04 

II  37 

II  09 

10  42 

10  14 

948 

9  21 

8  54 

8  29 

ao 

30 

II  48 

II  22 

10  56 

10  31 

ID  06 

041 
8  40 

9  17 

8  52 

8  29 

8  05 

741 

30 

40 

10  34 

10  10 

9  48 

9  25 

9  02 

8  18 

756 

7  35 

7  14 

6  52 

40 

50 

9  19 

8  58 

8  37 

8  18 

758 

738 

7  19 

6  59 

6  40 

6  21 

6  02 

50 

11 

OO 

8  01 

7  44 

726 

7  08 

651 

6  34 

6  17 

6  01 

5  44 

528 

5  12 

11    00 

lO 

6  43 

6  28 

6  13 

5  59 

5  45 

5  30 

5  16 

5  02 

4  49 

4  34 

4  21 

10 

ao 

5  23 

5  II 

5  00 

4  48 

4  37 

4  25 

4  14 

4  03 

3  52 

3  '^l 

3  29 

ao 

30 

4  03 

3  55 

3  46 

3  37 

3  28 

3  19 

3  II 

3  02 

2  54 

2  46 

2  38 

30 

40 

2  43 

2  37 

2  31 

2  25 

2  19 

2  13 

2  07 

2  02 

'56 

^   53 

I  45 

40 

60 

I  21 

I  18 

I  15 

I  13 

I  10 

I  07 

I  04 

I  01 

0  58 

0  56 

0  53 

60 

la 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

la   00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when^the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


37 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  8= 


DECI,INATION— SAME  NAME  AS— LATITUDE- 


LATITUDE  8°. 


Hour  Angle. 


O 


10 


11 


12 


m. 
OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


24° 


O   00 

8  13 
i6  05 
23  18 
29  44 
35  21 

40  10 

44  18 
47  47 
50  47 
53  19 
55  29 

57  21 

58  57 

60  19 

61  30 

62  31 

63  24 

64  09 

64  48 

65  21 

65  49 

66  12 
66  32 

66  47 

67  00 
67  09 
67  14 
67  17 
67  18 

67  16 
67  II 
67  03 
66  54 
66  43 
66  29 

66  13 
65  54 
65  32 
65  10 

64  43 
64  15 

63  44 
63  09 
62  32 
61  51 
61  08 
60  21 

59  29 

58  33 

57  33 

56  29 

55  18 
54  02 

52  40 
51  12 

49  35 
47  50 
45  57 
43  55 


25° 


26° 


41 

42 

39 

17 

36 

43 

33  54 

30  53 

27  40 

24 

13 

20 

34 

16 

43 

12 

42 

8 

33 

4 

18 

0 

00 

O  00 

7  41 
15  06 
21  57 
28  09 
33  35 

38  20 
42  25 
45  56 
48  57 
51  32 
53  46 

55  41 
57  20 
5847 

60  00 

61  05 

62  00 

62  48 

63  30 

64  04 

64  34 

65  00 
65  21 

6538 

65  52 

66  02 
66  08 
66  13 
66  14 

66  12 
66  09 
66  02 
65  54 
65  42 
65  39 

65  13 
64  54 
64  33 
64  10 
63  44 
63  16 

62  44 
62  10 
61  32 
60  52 
60  07 
59  20 

58  28 
57  32 
56  32 
55  26 
54  16 
52  59 

51  37 
50  07 
48  31 
46  46 

44  53 
42  52 

40  39 
38  16 
35  43 
3258 
30  00 
26  50 

23  28 
19  55 
16  II 
12  16 
8  16 
4  10 
o  00 


o  00 
7  14 
14  13 
20  43 
26  40 
31  57 

36  36 
40  39 
44  10 
47  12 
49  50 
52  05 

54  04 

55  46 

57  15 

58  32 

59  39 

60  37 

61  28 

62  12 

62  48 

63  21 

63  47 

64  II 

64  29 
64  44 

64  55 

65  04 
65  08 
65  10 

65  10 
65  07 
65  01 
64  53 
64  42 
64  29 

64  14 
63  55 
63  34 
63  II 
62  45 
62  16 

61  45 
61  II 
60  33 
59  52 
59  08 
58  20 

57  27 

56  31 

55  31 

54  25 

53  14 

51  57 

50  34 

49  05 

47  29 

45  44 

43  51 

41  49 

39  38 
37  17 
34  45 
32  02 
29  08 
26  01 

22  45 
19  16 
15  39 

II    S2 

758 

4  01 
o  00 


27° 


28= 


o  00 
6  48 
13  24 
39  36 
25  17 
30  25 

3458 
3858 
42  37 
45  31 
48  10 
50  28 

52  29 

54  ^3 

55  45 

57  04 

58  14 

59  15 

60  07 

60  54 

61  33 

62  07 

62  36 

63  00 

63  20 
6336 

63  49 
6358 

64  04 
64  07 

64  07 
64  05 
64  00 
63  52 
63  41 
63  29 

63  14 
6256 
62  35 
62  12 
6i  46 
61  18 

60  46 
60  II 
59  33 
5853 
58  08 
57  20 

56  28 
55  30 
54  30 
53  24 
52  13 
50  56 

49  33 
48  03 
46  27 
44  42 
42  51 
40  50 

38  40 
36  20 

33  50 
31  10 
28  18 
25  15 

22  03 

18  41 

15  09 
II  29 
7  43 
3  53 
o  00 


20° 


o  00 
6  25 
12  40 
18  34 
24  02 
2859 

33  25 
37  22 
40  50 
43  53 
46  33 
4853 

50  56 
52  42 
54  16 
5538 

56  51 

57  54 

58  49 

59  36 

60  18 

60  53 

61  23 

61  50 

62  II 
62  28 
62  42 

62  53 

63  00 
63  04 

63  05 
63  03 
62  58 
62  51 
62  41 
62  29 

62  14 
61  56 
61  36 
61  13 
60  47 
60  19 

59  47 
59  12 
5835 
57  54 
57  09 
56  21 

55  28 
54  31 
53  29 
52  23 
51  12 
49  55 

48  31 
47  02 
45  26 
43  42 
41  50 
39  50 

37  42 
35  24 
32  56 
30  18 
27  29 
24  31 

21  23 
18  06 
14  40 
II  07 
7  28 

3  45 
o  00 


30° 


o  00 

6  05 
12  00 
17  37 
22  52 
27  40 

31  59 
35  51 
39  17 
42  20 

44  59 
47  21 

49  25 

51  14 

52  50 

54  14 

55  28 

56  33 

57  30 

58  20 

59  03 

59  40 

60  13 

60  40 

61  03 
61  21 
61  36 

•61  47 

61  55 

62  00 

62  02 
62  01 

61  57  I 
61  51  i 
61  42  I 
61  29  I 

61  14 
60  57 
60  37 
60  14 
59  49 
59  20 

58  49 
58  14 
57  35 
56  54  i 
56  09 
55  21  I 

54  28 
53  31 
52  29 
51  23 
50  12 
48  55 

47  32 
46  03 
44  26 
42  43 
40  52 
3853 

36  45 
34  29 
32  04 
29  28 
26  43 
23  48 

20  45 
17  33 
14  12 
10  46 
7  13 
3  38 
o  00 


31° 


o  00 

5  45 
II  23 
16  45 
21  46 
26  24 

30  37 
34  25 
37  48 
40  49 
43  30 
45  51 

47  56 
49  47 

51  25 

52  51 

54  07 

55  13 

56  13 

57  04 
5748 

58  28 

59  01 
59  29 

59  54 

60  13 
60  30 
60  42 
60  51 
60  57 

60  59 
60  59 
60  56 
60  50 
60  41 
60  29 

60  15 
59  57 
59  37 
59  15 
58  49 
58  21 

57  50 
57  15 
5636 
55  55 
55  II 
54  22 

53  28 
52  32 
51  30 
50  24 
49  12 
47  55 

46  32 
45  03 

43  28 
41  45 
39  55 
37  57 

35  50 
33  35 
31  12 
28  39 
2558 
23  07 

20  08 
17  00 

13  46 
10  25 
7  00 

3  31 
o  00 


32° 


o  00 
5  27 
10  49 
15  56 
20  46 
25  14 

29  20 
33  02 
36  23 
39  21 
42  02 
44  23 

46  30 
48  22 

50  00 

51  28 

52  46 

53  54 

54  55 
5548 

56  34 

57  15 

57  50 

58  20 

5846 

59  06 
59  23 
59  37 
59  46 
59  53 

59  56 
59  57 
59  54 
59  48 
59  40 
5928 

59  14 
5858 
5839 
58  15 
57  50 
57  22 

56  51 
56  16 

55  37 
54  56 
54  II 
53  23 

52  29 
51  33 
50  31 
49  25 
48  13 
46  56 

45  34 
44  05 
42  30 
40  48 
3858 
37  01 

34  56 
32  43 
30  23 
27  52 

25  14 
22  27 

19  32 
16  29 
13  20 
10  05 
6  46 
3  24 
o  00 


33° 


5  12 
10  18 
15  II 
19  50 
24  08 

28  07 
31  44 
35  01 
37  58 
40  38 
43  00 

45  06 

46  59 
4838 

50  08 

51  27 

52  37 

53  39 

54  33 

55  21 

56  03 

56  39 

57  10 

57  37 

57  59 

58  17 
58  32 
58  43 
58  49 

58  54 
5854 
58  53 
58  47 
58  40 
58  29 

58  14 
57  59 
57  39 
57  17 
56  52 
56  23 

55  52 
■55  17 
54  40 
53  57 
53  13 
52  24 

51  31 
50  34 
49  33 
48  26 

47  15 

4558 

44  34 
43  07 
41  33 
39  51 
3803 
3608 

34  04 
31  53 
29  34 
27  07 

24  31 
21  48 

1858 
16  00 
12  56 
9  47 
6  34 
3  17 
o  00 


o  00 
4  57 
948 
14  29 
18  57 
23  07 

2658 
30  30 
33  44 
36  39 
39  16 
41  38 

43  45 
4538 

47  19 

48  49 

50  10 

51  21 

52  24 

53  20 

54  09 

54  52 

55  29 

56  02 

56  29 

56  52 

57  12 
57  27 
5738 
57  46 


34° 


o  00 
4  43 
9  21 
13  50 
18  07 
22  09 

25  53 
29  20 
32  29 
35  22 
37  57 
40  18 

42  25 
44  18 

46  00 

47  31 

48  52 

50  05 

51  09 

52  06 

52  57 

53  41 

54  20 

54  53 

55  22 

55  46 

56  06 
56  22 
56  35 
56  43 


54  54 
54  19 
53  42 
52  59 
52  15 
51  26 

50  33 
49  37 
48  34 
47  28 
46  17 
45  t>i 


43  39 

42  II 

40  37 

38  56 

37  09 

35  15 

33  13 

31  04 

28  47 

26  23 

23  51 

21  12 

18  24 

15  32 

12  34 

9  29 

6  22 

3  12 

0  00 

36° 


57  52 

56  48 

57  52 

56  50 

57  51 

56  50 

57  46 

56  45 

57  39 

5638 

57  29 

5628 

57  15 

56  15 

56  59 

56  00 

56  41 

55  41 

56  IS 

55  19 

55  53 

54  54 

55  25 

54  26 

53  56 
53  21 
52  42 
52  01 
51  16 
50  28 

49  35 
48  38 

47  37 
46  30 

45  19 
44  04 

42  42 
41  15 
39  41 
38  01 
36  15 
34  23 

32  23 
30  16 
28  02 
25  39 
23  II 
20  36 

17  53 
15  04 
12  II 
9  12 
6  II 
3  06 
o  00 


Hour  Angle. 


O   00 

4  30 
855 
13  13 
17  21 
21  13 

24  51 
28  13 
31  18 
34  08 
36  41 
39  01 

41  07 

43  01 

44  42 

46  14 

47  36 

48  50 

49  56 

50  54 

51  45 

52  30 

53  10 

53  45 

54  14 

54  39 

55  00 
55  17 
55  30 
55  39 

55  46 
5548 
5548 
55  44 
5538 
55  29 

55  16 
55  00 
54  41 
54  19 
53  55 
53  27 

52  56 
52  22 
51  44 
51  03 
50  18 

49  30 

48  37 
47  40 
46  40 
45  33 
44  23 
43  07 

41  46 
40  19 

3847 
37  08 
35  24 
33  32 

31  34 
29  28 

27  17 
24  58 
22  32 
20  CO 

17  21 
14  38 
II  49 
855 
558 
3  00 
o  00 


10 


11 


12 


m. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
.  20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  east  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


38 


AZIMUTH    OR   TRUE    BEARING. 


liATlTUDE  8°. 

DECI^INATION- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  8°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

li.    in. 

0  / 

0  / 

0  / 

0  ; 

0  / 

0  / 

•0  1 

0  / 

0  / 

0  , 

0  / 

0  / 

b.    m. 

O    OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

4  iS 

..;  06 

356 

3  46 

336 

328 

3  19 

3  II 

3  03 

256 

2  49 

2  42 

10 

20 

832 

8  10 

7  49 

7  29 

7  10 

^53 

637 

6  20 

6  05 

5  50 

5  37 

5  23 

20 

30 

12  39 

12  07 

II  36 

II  07 

10  40 

10  15 

9  49 

9  26 

9  04 

8  42 

8  22 

8  03 

30 

40 

16  36 

15  55 

15  15 

14  39 

14  03 

13  30 

12  58 

12  27 

II  58 

II  31 

11  04 

10  38 

40 

50 

20  21 

19  31 

1845 

18  00 

17  18 

1637 

15  59 

15  22 

14  47 

14  13 

13  40 

13  09 

50 

1     00 

23  51 

22  55 

22  02 

21  12 

20  23 

19  36 

18  52 

18  10 

17  29 

16  49 

16  12 

15  36 

1     00 

10 

27  08 

26  07 

25  08 

24  12 

23  18 

22  27 

21  38 

20  50 

20  04 

19  20 

1837 

17  56 

10 

20 

30  09 

29  04 

28  00 

27  01 

26  02 

25  06 

24  13 

23  21 

22  30 

21  41 

20  56 

20  10 

20 

30 

32  55 

31  47 

30  41 

29  37 

2835 

27  36 

26  39 

25  43 

24  49 

23  57 

23  07 

22  18 

30 

40 

35  27 

34  16 

33  07 

32  01 

30  57 

29  54 

28  54 

27  56 

26  59 

26  04 

25  10 

24  18 

40 

50 

37  46 

36  34 

35  23 

34  14 

33  07 

32  04 

31  01 

30  00 

29  00 

28  03 

27  07 

26  12 

50 

2     00 

39  52 

3838 

37  26 

36  16 

35  09 

34  02 

32  58 

31  55 

30  54 

29  54 

28  56 

27  5» 

2     00 

10 

41  45 

40  31 

39  18 

38  07 

36  59 

35  52 

34  46 

33  41 

32  38 

31  37 

30  37 

29  37 

10 

20 

43  27 

42  13 

41  00 

39  49 

38  39 

37  31 

36  25 

35  19 

34  15 

33  13 

32  12 

31  10 

20 

30 

44  59 

43  45 

42  33 

41  21 

40  12 

39  03 

37  56 

36  49 

35  44 

34  41 

33  39 

32  36 

30 

40 

46  22 

45  09 

43  56 

.42  45 

41  36 

40  26 

39  19 

38  12 

37  07 

36  02 

34  59 

33  56 

40 

50 

47  36 

46  23 

45  12 

44  01 

42  51 

41  42 

40  35 

39  28 

38  21 

37  16 

36  13 

35  09 

50 

3     00 

48  42 

47  30 

46  19 

4508 

44  00 

42  51 

41  43 

40  36 

39  30 

■38  24 

37  20 

36  16 

3     00 

10 

49  41 

48  30 

47  19 

46  10 

45  01 

43  52 

42  45 

41  38 

40  32 

39  26 

38  22 

37  18 

10 

20 

50  34 

49  23 

48  14 

47  05 

45  56 

44  48 

43  41 

42  35 

41  28 

40  23 

39  18 

38  14 

20 

30 

51  20 

50  II 

49  02 

47  53 

46  45 

45  38 

44  31 

43  25 

42  19 

41  13 

40  09 

39  04 

30 

40 

52  01 

50  52 

49  44 

48  37 

47  29 

46  22 

45  16 

44  09 

43  04 

41  59 

40  54 

39  50 

40 

60 

52  36 

51  29 

50  21 

49  15 

4808 

47  01 

45  55 

44  49 

43  45 

42  40 

41  35 

40  30 

50 

4    00 

53  07 

52  00 

50  53 

49  47 

48  40 

47  35 

46  29 

45  25 

44  20 

43  15 

42  II 

41  07 

4     00 

10 

53  33 

52  27 

51  20 

50  15 

49  10 

48  05 

47  00 

45  55 

44  50 

43  46 

42  42 

41  39 

10 

20 

53  55 

52  49 

51  44 

50  39 

49  34 

48  30 

47  26 

46  21 

45  17 

44  13 

43  10 

42  06 

20 

30 

54  12 

53  07 

52  03 

50  59 

49  55 

48  51 

47  47 

46  43 

45  39 

44  36 

43  33 

42  29 

30 

40 

54  26 

53  22 

52  18 

51  15 

50  II 

49  07 

4805 

47  01 

45  58 

44  55 

43  52 

42  48 

40 

60 

54  37 

53  33 

52  30 

51  26 

50  24 

49  20 

48  18 

47  15 

46  13 

45  10 

44  08 

43  05 

50 

5     00 

54  43 

53  41 

52  38 

51  35 

5033 

49  30 

48  28 

47  26 

46  23 

45  21 

44  19 

43  16 

6     00 

10 

54  46 

53  44 

52  43 

51  41 

50  38 

49  36 

48  34 

47  33 

46  31 

45  29 

44  27 

43  25 

10 

20 

54  47 

53  45 

52  43 

51  42 

50  40 

49  39 

48  37 

47  36 

46  34 

45  34 

44  32 

43  30 

20 

30 

54  44 

53  43 

52  41 

51  40 

50  39 

49  39 

48  37 

47  36 

46  35 

45  34 

44  33 

43  31 

30 

40 

54  37 

53  37 

52  36 

51  36 

50  35 

49  35 

48  34 

47  32 

46  32 

45  32 

44  31 

43  29 

40 

50 

54  28 

53  28 

52  28 

51  28 

50  27 

49  27 

48  27 

47  27 

46  27 

45  26 

44  26 

43  25 

.  50 

6     00 

54  16 

53  16 

52  16 

51  16 

50  17 

49  17 

48  17 

47  17 

46  17 

45  17 

44  17 

43  17 

6     00 

10 

54  01 

53  01 

52  01 

51  02 

50  02 

49  03 

48  03 

47  04 

46  04 

45  05 

44  05 

43  05 

10 

20 

53  42 

52  43 

51  44 

50  45 

49  46 

48  46 

47  47 

46  47 

45  49 

44  50 

43  50 

42  50 

20 

30 

53  20 

52  22 

51  23 

50  24 

49  26 

48  27 

47  28 

46  29 

45  30 

44  31 

43  32 

42  33 

30 

40 

52  56 

51  58 

5058 

50  01 

49  02 

48  03 

47  05 

46  06 

4508 

44  09 

43  10 

42  II 

40 

50 

52  29 

51  31 

50  32 

49  34 

48  35 

47  37 

46  39 

45  41 

44  42 

43  44 

42  46 

41  48 

50 

7    00 

51  58 

51  00 

50  01 

49  04 

48  06 

47  08 

46  10 

45  12 

44  14 

43  16 

42  18 

41  20 

7     00 

10 

51  24 

50  26 

49  28 

48  30 

47  32 

46  35 

45  37 

44  40 

43  42 

42  45 

41  47 

40  49 

10 

20 

50  47 

49  48 

48  51 

47  53 

46  55 

4558 

45  01 

44  03 

43  07 

42  09 

41  13 

40  15 

20 

30 

50  06 

49  08 

48  10 

47  13 

46  15 

45  18 

44  21 

43  24 

42  28 

41  31 

40  35 

3938 

30 

40 

49  21 

48  23 

47  26 

46  29 

45  31 

44  35 

43  38 

42  42 

41  46 

40  49 

39  54 

3858 

40 

50 

48  32 

47  35 

4638 

45  41 

44  44 

43  47 

42  51 

41  55 

41  00 

40  04 

39  09 

38  13 

50 

»     00 

47  40 

46  42 

45  46 

44  49 

43  53 

42  57 

42  01 

41  05 

40  10 

39  15 

38  20 

37  26 

a        00 

10 

46  43 

45  46 

44  50 

43  54 

42  57 

42  02 

41  07 

40  12 

39  17 

38  22 

37  29 

36  34 

10 

20 

45  42 

44  45 

43  49 

42  53 

41  58 

41  03 

40  09 

39  14 

38  20 

37  27 

36  33 

35  39 

20 

30 

44  37 

43  40 

42  44 

41  49 

40  54 

40  00 

39  06 

38  12 

37  19 

36  26 

35  33 

34  40 

30 

40 

43  27 

42  31 

41  35 

40  41 

39  46 

3852 

38  00 

37  06 

36  13 

35  22 

34  30 

3338 

40 

50 

42  II 

41  16 

40  21 

39  28 

38  33 

37  41 

3648 

35  56 

35  04 

34  13 

33  23 

32  32 

50 

9     00 

40  51 

39  56 

39  02 

3809 

37  16 

36  24 

35  32 

34  41 

33  51 

33  01 

32  II 

31  21 

9   00 

10 

39  24 

38  31 

3738 

36  45 

35  53 

35  02 

34  12 

33  21 

32  32 

31  44 

3°  56 

30  06 

10 

20 

37  53 

37  00 

36  08 

35  17 

34  26 

33  36 

32  47 

31  58 

31  10 

30  23 

2936 

28  49 

20 

30 

36  15 

35  24 

34  33 

33  43 

32  53 

32  05 

31  17 

30  30 

29  43 

28  57 

28  12 

27  26 

30 

40 

34  32 

33  42 

32  52 

32  03 

31  15 

30  28 

29  42 

2856 

28  II 

27  27. 

26  44 

26  00 

40 

50 

32  42 

31  53 

31  05 

30  19 

29  32 

28  47 

28  03 

27  18 

26  36 

25  53 

25  II 

24  29 

50 

10   00 

30  46 

29  59 

29  12 

28  28 

27  44 

27  00 

26  18 

25  36 

24  55 

24  14 

23  35 

22  55 

10   00 

10 

28  43 

27  57 

27  14 

26  31 

25  49 

25  08 

24  27 

23  48 

23  09 

22  32 

21  54 

21  16 

10 

20 

26  33 

25  51 

25  09 

24  29 

23  49 

23  II 

22  34 

21  56 

21  19 

20  44 

20  09 

19  35 

20 

30 

24  18 

23  38 

22  59 

22  21 

21  45 

21  09 

20  34 

20  00 

19  26 

18  53 

18  21 

17  49 

30 

40 

21  55 

21  18 

20  43 

20  08 

19  34 

19  02 

18  30 

17  58 

17  28 

16  58 

16  29 

16  00 

40 

50 

19  26 

1854 

18  21 

17  50 

17  19 

16  50 

16  21 

15  54 

15  26 

15  00 

14  34 

14  08 

50 

11     00 

16  52 

16  22 

15  54 

15  27 

15  01 

14  35 

14  09 

13  44 

13  21 

12  58 

12  35 

12  12 

11     00 

10 

14  12 

13  47 

13  23 

12  59 

12  37 

12  16 

II  53 

II  33 

II  13 

10  53 

10  34 

10  14 

10 

20 

II  28 

II  08 

10  48 

10  28 

10  10 

9  52 

9  35 

9  18 

9  02 

845 

8  30 

8  15 

20 

30 

839 

8  24 

8  09 

7  54 

7  40 

7  27 

7  13 

7  01 

6  49 

636 

6  24 

6  12 

30 

40 

5  48 

5  37 

5  28 

5  17 

4  08 

4  59 

4  51 

4  41 

4  33 

4  25 

4  17 

4  09 

40 
50 

50 

2  54 

2  50 

2  44 

2  39 

2  34 

2  30 

2  26 

2  21 

2  17 

2  13 

2  09 

2  05 

12    00 

0  00 

0  CK) 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CX) 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be-takeu  for  the  required  true  bearing. 


39 


AZIMUTH  OR  TRUE  BEARING. 


I.ATITUDE  8 

0, 

DECLINATION— 

SAME  NAME  AS— IvATITUDE. 

L,ATITUI»E  8°. 

Hour  An 

gle« 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

b 

m. 

o  ' 

0  ' 

0  / 

0  / 

0  ' 

0  ' 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  t 

h    m. 

O 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

2  35 

2  30 

2  24 

2  18 

2  12 

2  08 

2  02 

I  57 

I  52 

I  48 

I  44 

I  39 

10 

20 

5  II 

4  59 

4  47 

4  36 

^  2§ 

4  15 

4  04 

3  55 

3  45 

336 

3  27 

3  18 

20 

30 

7  43 

7  25 

708 

6  52 

636 

6  20 

6  05 

5  51 

536 

5  23 

5  10 

4  56 

30 

40 

10  14 

9  50 

9  27 

9  05 

8  44 

8  24 

8  04 

7  45 

7  26 

708 

6  50 

633 

40 

50 

12  39 

12  10 

II  43 

II  16 

10  49 

10  24 

10  01 

9  37 

9  14 

851 

8  30 

8  09 

50 

1 

OO 

15  00 

14  27 

13  54 

13  23 

12  52 

12  23 

II  54 

II  26 

10  59 

10  32 

10  08 

9  42 

1     00 

lO 

17  16 

16  38 

16  01 

15  26 

14  50 

14  17 

13  45 

13  12 

12  42 

12  II 

II  42 

II  13 

10 

20 

19  26 

18  44 

18  03 

17  23 

16  44 

16  07 

15  31 

14  56 

14  21 

13  47 

13  14 

12  42 

20 

30 

21  30 

20  45 

20  00 

19  16 

1835 

17  54 

17  14 

16  35 

15  57 

15  20 

14  44 

14  08 

30 

40 

23  28 

22  39 

21  51 

21  04 

20  19 

19  35 

18  52 

18  10 

17  29 

16  48 

16  ID 

15  31 

40 

50 

25  18 

24  27 

23  37 

22  48 

21  59 

21  12 

20  26 

19  41 

1857- 

18  14 

17  32 

16  50 

50 

2 

OO 

27  03 

26  09 

25  16 

24  24 

23  34 

22  43 

21  55 

21  08 

20  22 

19  35 

18  51 

18  08 

2     00 

lO 

28  40 

27  44 

26  50 

25  55 

25  02 

24  II 

23  20 

22  30 

21  41 

20  54 

20  07 

19  21 

10 

20 

30  II 

29  14 

28  17 

27  21 

26  26 

25  32 

24  40 

2348 

22  57 

22  07 

21  18 

20  30 

20 

30 

31  35 

30  37 

29  39 

28  41 

27  45 

26  50 

25  56 

25  02 

24  09 

23  17 

22  26 

21  36 

30 

40 

32  55 

31  55 

30  55 

29  56 

28  59 

28  01 

27  06 

26  II 

25  17 

24  23 

23  31 

22  38 

40 

50 

34  06 

33  06 

32  05 

31  05 

30  06 

29  08 

28  II 

27  15 

26  19 

25  24 

24  31 

23  36 

50 

3 

OO 

35  14 

34  II 

33  II 

32  10 

31  10 

30  II 

29  13 

28  15 

27  18 

26  22 

25  26 

24  31 

3     00 

10 

36  14 

35  12 

34  II 

33  09 

32  08 

31  09 

30  09 

29  II 

28  13 

27  16 

26  19 

25  22 

10 

20 

37  10 

36  07 

35  05 

34  03 

33  02 

32  02 

31  02 

30  02 

29  04 

28  05 

27  08 

26  10 

20 

30 

38  01 

3658 

35  55 

34  52 

33  51 

32  50 

31  49 

30  49 

29  50 

28  51 

27  53 

26  54 

30 

40 

38  46 

37  43 

36  40 

3538 

34  35 

33  34 

32  32 

31  33 

30  33 

29  33 

28  34 

27  34 

40 

50 

39  26 

38  24 

37  21 

36  19 

35  16 

34  15 

33  13 

32  II 

31  II 

30  II 

29  II 

28  II 

50 

4 

OO 

40  03 

39  00 

37  57 

36  54 

35  51 

34  50 

33  48 

32  47 

31  46 

30  46 

29  45 

23  45 

4     00 

10 

40  35 

39  32 

38  30 

37  27 

36  24 

35  22 

34  20 

33  19 

32  17 

31  16 

30  16 

29  15 

10 

20 

41  03 

40  00 

38  57 

37  54 

36  51 

35  50 

34  48 

33  46 

32  45 

31  43 

30  43 

29  42 

20 

30 

41  26 

40  23 

39  21 

38  19 

37  16 

36  14 

35  12 

34  10 

33  c>9 

32  07 

31  06 

30  04 

30 

40 

41  46 

40  43 

39  41 

3838 

37  36 

36  35 

35  32 

34  31 

33  29 

32  27 

31  27 

30  25 

40 

50 

42  02 

41  00 

39  57 

3856 

37  53 

36  52 

35  50 

34  48 

33  40 

32  44 

31  43 

30  42 

60 

5 

OO 

42  15 

41  12 

40  ID 

39  09 

38  06 

37  05 

36  03 

35  02 

34  00 

3258 

31  58 

30  56 

5     00 

lO 

42  23 

41  22 

40  19 

39  18 

38  17 

37  15 

36  13 

35  12 

34  10 

33  09 

32  08 

31  07 

10 

20 

42  28 

41  27 

40  25 

39  24 

38  23 

37  22 

36  20 

35  19 

34  18 

33  17 

32  16 

31  14 

20 

30 

42  30 

41  30 

40  28 

39  27 

38  26 

37  25 

36  24 

35  23 

34  22 

33  20 

32  20 

31  19 

30 

40 

42  29 

41  28 

40  28 

39  27 

3826 

37  25 

36  24 

35  24 

34  22 

33  22 

32  22 

31  20 

40 

50 

42  25 

41  24 

40  24 

39  23 

38  23 

37  23 

36  22 

35  22 

34  21 

33  21 

32  20 

31  19 

iiO 

6 

OO 

42  16 

41  16 

40  16 

39  17 

38  16 

37  16 

36  16 

35  16 

34  16 

33  15 

32  16 

31  15 

6     00 

lO 

42  05 

41  06 

40  06 

39  07 

3806 

37  07 

36  08 

35  or 

34  07 

3308 

32  08 

31  08 

10 

20 

41  51 

40  52 

39  53 

38  54 

37  54 

36  54 

35  56 

34  56 

33  56 

32  57 

31  58 

3058 

20 

30 

41  34 

40  35 

39  36 

3838 

3738 

36  39 

35  41 

34  41 

33  42 

32  43 

31  45 

30  45 

30 

40 

41  14 

40  15 

39  17 

38  18 

37  19 

36  21 

35  22 

34  24 

33  26 

32  28 

31  29 

30  30 

40 

50 

40  50 

39  52 

38  54 

37  56 

36  57 

35  59. 

35  01 

34  04 

33  06 

32  08 

31  10 

30  12 

50 

7 

OO 

40  23 

39  25 

38  28 

37  31 

36  32 

35  35 

34  37 

33  40 

32  43 

31  45 

30  48 

29  50 

7     00 

lO 

39  53 

38  55 

37  58 

37  01 

36  04 

35  07 

34  10 

33  14 

32  17 

31  20 

30  24 

29  26 

10 

20 

39  19 

38  23 

37  26 

36  29 

35  33 

34  37 

33  41 

32  44 

31  47 

30  51 

29  56 

29  00 

20 

30 

38  42 

37  46 

36  50 

35  54 

34  59 

34  02 

33  08 

32  12 

31  16 

30  21 

29  26 

28  30 

30 

40 

38  02 

37  06 

36  II 

35  16 

34  20 

33  26 

32  31 

31  37 

30  41 

29  46 

28  52 

27  58 

40 

50 

37  18 

36  23 

35  29 

34  35 

33  40 

32  46 

31  52 

30  57 

30  04 

29  10 

28  17 

27  23 

50 

8 

OO 

36  32 

35  37 

34  44 

33  49 

32  56 

32  02 

31  09 

30  17 

29  23 

28  30 

27  38 

26  45 

8     00 

lO 

35  41 

34  47 

33  55 

33  01 

32  09 

31  16 

30  24 

29  32 

28  39 

27  48 

26  57 

26  05 

10 

20 

34  47 

33  54 

33  02 

32  10 

31  17 

30  26 

29  35 

28  44 

27  53 

27  03 

26  12 

24  21 

20 

30 

33  49 

32  57 

32  06 

3^  15 

30  24 

29  34 

28  44 

27  54 

27  04 

26  14 

25  26 

24  36 

30 

40 

32  48 

31  56 

31  07 

30  16 

29  27 

2837 

27  49 

27  00 

26  12 

25  23 

24  36 

23  48 

40 

50 

31  41 

30  52 

30  04 

29  15 

28  26 

27  39 

26  50 

26  03 

25  16 

24  29 

23  43 

22  58 

50 

9 

OO 

30  33 

29  45 

28  56 

28  09 

27  22 

2636 

25  50 

25  03 

24  18 

23  32 

22  48 

22  03 

9     00 

lO 

29  20 

2833 

27  47 

27  01 

26  15 

25  29 

24  45 

24  01 

23  16 

22  33 

21  50 

21  06 

10 

20 

28  03 

27  18 

26  33 

25  48 

25  04 

24  21 

2338 

22  54 

22  12 

21  30 

20  48 

20  01 

19  0?* 

20 

30 

26  42 

25  59 

25  15 

24  33 

23  50 

23  09 

22  27 

21  46 

21  05 

20  25 

19  46 

30 

40 

25  17 

24  35 

23  54 

23  13 

22  33 

21  53 

21  13 

20  34 

19  55 

19  17 

18  39 

18  01 

40 

50 

23  49 

23  10 

22  29 

21  51 

21  12 

-  20  34 

19  57 

19  20 

18  44 

18  07 

17  32 

16  56 

50 

10 

OO 

22  17 

21  39 

21  02 

20  25 

19  48 

19  14 

18  38 

18  02 

17  29 

16  55 

16  21 

15  47 

10    00 

lO 

20  41 

20  05 

19  31 

18  56 

18  21 

17  48 

17  15 

16  42 

16  10 

1538 

15  07 

14  36 

10 

20 

19  01 

18  28 

H  5^ 

17  24 

16  52 

16  22 

15  51 

15  21 

14  51 

14  22 

13  53 

13  24 

20 

30 

17  19 

16  48 

16  18 

15  49 

15  20 

14  51 

14  23 

13  56 

13  29 

13  02 

12  36 

12  09 

30 

40 

15  32 

15  04 

14  37 

14  II 

13  44 

13  19 

12  54 

12  29 

12  04 

II  41 

II  16 

10  53 

40 

50 

13  42 

13  18 

12  54 

12  30 

12  07 

II  44 

II  22 

11  00 

10  39 

10  17 

9  56 

9  35 

50 

11 

OO 

II  51 

II  29 

11  09 

10  48 

10  27 

10  07 

948 

9  29 

9  10 

852 

833 

8  16 

11     00 

lO 

956 

9  38 

9  21 

9  04 

8  46 

8  29 

8  13 

7  57 

7  41 

7  25 

7  10 

655 

10 

20 

8  00 

7  ^f> 

7  31 

716 

7  03 

6  49 

636 

62. 

6  II 

558 

5  46 

5  34 

20 

30 

6  01 

5  50 

5  40 

5  29 

5  19 

508 

4  58 

448 

4  39 

4  29 

4  20 

4  II 

30 

40 

4  02 

3  54 

3  47 

3  40 

3  33 

3  26 

3  20 

1  ^ 

306 

3  00 

2  53 

2  48 

40 

SO 

2  01 

I  57 

I  53 

I  50 

I  47 

I  43 

I  40 

I  33 

I  30 

I  27 

I  24 

50 

12 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  OO 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  takeu  for  the  required  true  bearing. 


40 


AZIMUTH   OR  TRUE  BEARING. 


I.ATITUDE  8 

Oj 

DECLINATION— SAME  NAME  AS— LATITUDE. 

latitude:  8°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

h.    m. 

O   ' 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

h.    m. 

0     OO 

O  CX3 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

I  35 

I  31 

I  27 

I  23 

I  19 

I  15 

I  12 

I  09 

I  05 

I  02 

0  58 

10 

20 

3  10 

3  02 

2  53 

2  46 

238 

2  30 

2  24 

2  16  • 

2  09 

2  03 

I  56 

20 

30 

4  44 

4  31 

4  20 

4  08 

3  57 

3  46 

3  35 

3  25 

3  14 

3  03 

2  54 

30 

40 

6  17 

6  01 

5  45 

5  29 

5  15 

5  00 

4  45 

4  32 

4  17 

4  04 

3  50 

40 

50 

7  48 

7  28 

7  09 

6  50 

6  31 

6  13 

5  55 

538 

5  21 

5  04 

4  47 

50 

1     OO 

9  18 

8  54 

831 

8  08 

7  46 

7  24 

7  03 

6  43 

6  22 

6  02 

5  43 

1     00 

lO 

10  46 

10  18 

9  51 

9  26 

9  00 

835 

8  II 

7  47 

7  23 

7  00 

638 

10 

20 

12  II 

II  40 

II  10 

10  41 

10  12 

9  45 

9  17 

8  50 

823 

756 

7  31 

20 

30 

13  34 

13  00 

12  27 

11  55 

II  22 

10  52 

10  21 

9  51 

9  21 

852 

8  24 

30 

40 

14  54 

14  17 

13  41 

13  05 

12  31 

II  57 

II  23 

10  51 

10  19 

9  46 

9  15 

40 

60 

16  II 

15  31 

14  52 

14  14 

13  37 

13  00 

12  24 

II  48 

II  13 

10  39 

10  05 

50 

2     OO 

17  25 

16  42 

16  02 

15  20 

14  40 

14  01 

13  22 

12  44 

12  07 

11  30 

10  53 

2     00 

10 

1835 

17  51 

17  07 

16  24 

15  41 

14  59 

14  18 

1338 

12  58 

12  19 

II  40 

10 

20 

19  43 

1856 

18  10 

17  24 

16  40 

15  55 

15  12 

14  30 

13  47 

13  05 

12  25 

20 

30 

20  46 

19  57 

19  10 

18  22 

17  36 

16  50 

16  04 

15  20 

14  35 

13  51 

13  07 

30 

40 

21  47 

20  57 

20  07 

19  18 

18  29 

17  41 

16  53 

16  07 

15  20 

14  34 

13  49 

40 

50 

22  44 

21  51 

21  01 

20  09 

19  19 

18  29 

17  39 

16  51 

16  03 

15  15 

14  28 

50 

3     OO 

2338 

22  44 

21  51 

20  58 

20  06 

19  14 

18  23 

17  34 

16  44 

15  54 

15  05 

3     00 

lO 

24  27 

23  32 

22  38 

21  44 

20  51 

19  58 

19  05 

18  14 

17  22 

16  31 

15  41 

10 

20 

25  14 

24  18 

23  22 

22  27 

21  32 

20  38 

19  44 

18  51 

17  59 

17  06 

16  14 

20 

30 

25  57 

25  00 

24  03 

23  07 

22  II 

21  15 

20  20 

19  26 

18  32 

17  38 

16  45 

30 

40 

26  36 

25  39 

24  41 

23  44 

22  47 

21  50 

20  54 

20  00 

19  04 

18  08 

17  14 

40 

50 

27  13 

26  14 

25  16 

24  17 

23  20 

22  23_ 

21  25 

20  29 

19  33 

18  37 

17  41 

50 

4     OO 

27  46 

26  46 

25  47 

24  48 

23  50 

22  51 

21  53 

20  57 

19  59 

19  02 

18  06 

4     00 

10 

28  15 

27  15 

26  16 

25  16 

24  17 

23  18 

22  19 

21  22 

20  23 

19  26 

18  28 

10 

20 

28  42 

27  41 

26  41 

25  40 

24  41 

23  41 

22  43 

21  44 

20  45 

19  46 

18  48 

20 

30 

29  05 

28  04 

27  04 

26  03 

25  03 

24  03 

23  02 

22  04 

21  05 

20  05 

19  06 

30 

40 

29  24 

28  23 

27  23 

26  22 

25  22 

24  22 

23  20 

22  22 

21  21 

20  21 

19  ^ 

40 

60 

29  41 

28  40 

27  39 

26  38 

25  38 

24  36 

23  36 

22  36 

21  35 

20  35 

19  35 

50 

6     OO 

29  55 

2854 

27  53 

26  51 

25  50 

24  50 

23  49 

22  49 

21  48 

20  48 

19  47 

5     00 

lO 

30  06 

29  04 

28  04 

27  02 

26  01 

25  00 

23  59 

22  59 

21  58 

20  57 

19  57 

10 

20 

30  13 

29  12 

28  11 

27  10 

26  09 

25  07 

24  07 

23  07 

22  05 

21  05 

20  04 

20 

30 

30  18 

29  17 

28  16 

27  15 

26  14 

25  12 

24  II 

23  12 

22  II 

21  10 

20  09 

30 

40 

30  20 

29  19 

28  18 

27  17 

26  17 

25  15 

24  15 

23  15 

22  13 

21  13 

20  12 

40 

50 

30  19 

29  18 

28  18 

27  16 

26  17 

25  16 

24  15 

23  15 

22  13 

21  13 

20  12 

50 

6     OO 

30  15 

29  14 

28  14 

27  13 

26  14 

25  12 

24  12 

23  13 

22  II 

21  II 

20  II 

6     00 

lO 

30  08 

29  08 

28  09 

27-8 

26  08 

25  08 

24  07 

23  08 

22  07 

21  07 

20  08 

10 

20 

29  59 

28  59 

28  00 

26  59 

a6  00 

25  00 

24  c» 

23  01 

22  01 

21  01 

20  02 

20 

30 

29  46 

28  47 

27  48 

26  48 

25  50 

24  50 

23  51 

22  52 

21  52 

20  53 

19  54 

30 

40 

29  32 

28  33 

27  34 

26  35 

25  36 

24  37 

23  39 

22  40 

21  42 

20  43 

19  44 

40 

50 

29  13 

28  16 

27  17 

26  19 

25  21 

24  23 

23  24 

22  27 

21  29 

20  31 

19  33 

50 

7     OO 

28  53 

27  55 

2658 

26  01 

25  03 

24  06 

23  08 

22  II 

21  13 

20  16 

19  19 

7     00 

lO 

28  30 

27  33 

26  36 

25  39 

24  43 

23  46 

22  49 

21  53 

20  56 

19  59 

19  03 

10 

20 

28  04 

27  07 

26  12 

25  16 

24  20 

23  24 

22  28 

21  33 

20  37 

19  41 

18  45 

20 

30 

27  36 

26  40 

25  45 

24  50 

23  55 

23  00 

22  04 

21  II 

20  15 

19  20 

18  25 

30 

40 

27  04 

26  09 

25  15 

24  21 

23  27 

22  33 

21  39 

20  46 

19  51 

18  57 

18  04 

40 

50 

26  30 

25  37 

24  44 

23  50 

22  57 

22  04 

21  10 

20  19 

19  25 

iS  33 

17  40 

50 

8     OO 

25  53 

25  01 

24  09 

23  16 

22  25 

21  33 

20  41 

19  49 

18  58 

18  06 

17  15 

8     00 

lO 

25  13 

24  22 

23  31 

22  41 

21  51 

21  00 

20  09 

19  19 

18  28 

17  38 

16  47 

10 

20 

24  32 

23  43 

22  53 

22  02 

21  13 

20  24 

19  34 

18  46 

17  56 

17  07 

16  18 

20 

30 

23  47 

22  59 

22  10 

21  21 

20  34 

19  46 

1858 

18  10. 

17  22 

1 6  35 

15  47 

30 

40 

23  00 

.  22  13 

21  26 

20  39 

19  53 

19  06 

18  20 

17  34 

16  47 

16  01 

15  15 

40 

50 

22  10 

21  25 

20  39 

19  53 

19  09 

18  24 

17  38 

16  55 

16  09 

15  25 

14  41 

50 

»     OO 

21  18 

20  34 

19  50 

19  06 

18  22 

17  39 

1656 

16  13 

15  30 

14  48 

14  05 

9     00 

lO 

20  23 

19  41 

18  58 

18  16 

17  34 

16  53 

16  II 

15  31 

14  49 

14  09 

13  28 

10 

20 

19  26 

18  45 

18  05 

17  24 

16  44 

16  04 

15  25 

14  46 

14  07 

13  27 

12  48 

20 

30  * 

18  27 

17  48 

17  09 

16  30 

15  52 

15  14 

14  36 

14  00 

13  23 

12  45 

12  08 

30 

40 

17  24 

16  48 

16  II 

15  35 

14  58 

14  22 

13  47 

13  12 

12  36 

12  02 

II  26 

40 

50 

16  20 

15  46 

15  12 

14  37 

14  03 

13  29 

12  55 

12  23 

II  49 

11  16 

10  43 

50 

lO     OO 

15  14 

14  42 

14.09 

13  36 

13  06 

12  34 

12  03 

II  31 

II  00 

10  29 

9  59 

10     00 

10 

14  06 

13  35 

13  06 

12  35 

12  06 

II  36 

II  07 

10  39 

10  10 

9  42 

9  13 

10 

20 

12  56 

12  27 

12  00 

II  32 

II  05 

10  38 

10  11 

9  45 

9  18 

853 

S  26 

20 

30 

II  44 

II  18 

10  53 

10  28 

10  03 

9  39 

9  14 

8  51 

8  26 

8  03 

7  39 

30 

40 

10  29 

10  07 

9  44 

9  21 

9  c» 

8  37 

8  15 

7  54 

7  33 

7  12 

6  50 

40 

50 

9  15 

8  54 

8  35 

8  15 

7  55 

736 

7  16 

6  58 

6  38 

6  19 

6  01 

50 

11     OO 

758 

7  40 

7  23 

706 

6  49 

632 

6  16 

6  cx) 

5  43 

5  27 

5  II 

11     00 

10 

6  40 

625 

6  u 

5  57 

5  43 

528 

5  15 

5  01 

4  46 

4  33 

4  20 

10 

20 

5  21 

5  09 

4  57 

4  47 

4  35 

4  24 

4  13 

4  01 

3  50 

3  39 

3  29 

20 

30 

4  02 

3  53 

3  44 

3  35 

326 

3  18 

3  09 

3  01 

2  53 

2  45 

2  37 

30 

40 

2  42 

236 

2  30 

2  24 

2  18 

Vd 

2  07 

2  01 

I  56 

I  51 

I  46 

40 

50 

I  21 

I  17 

I  14 

I  12 

I  09 

I  03 

I  00 

0  57 

0  55 

0  52 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  GO 

0  00 

0  00 

12     00 

In  Korth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  "loplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


41 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  « 

0. 

DECI^INATION- 

SAME  NAME  AS— IvATITUDE. 

latitude:  9°. 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Honr  Angle. 

b.    m« 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  ' 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

h.    m. 

O    OO 

0  00 

0  00 

0  00 

6  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

8  45 

8  10 

738 

7  10 

6  45 

6  22 

6  01 

5  42 

5  24 

5  09 

4  54 

4  39 

10 

20 

17  04 

15  58 

14  5'* 

14  05 

13  17 

12  32 

II  53 

II  16 

10  41 

10  II 

9  42 

9  14 

20 

30 

24  37 

23  08 

21  47 

20  34 

19  26 

iS  24 

17  28 

16  34 

15  46 

15  01 

14  19 

13  40 

30 

40 

31  18 

29  33 

27  56 

26  27 

25  05 

23  49 

22  39 

21  34 

20  34 

19  37 

18  44 

17  54 

40 

50 

37  01 

35  07 

33  21 

31  42 

30  10 

2845 

27  24 

26  10 

25  00 

23  53 

22  52 

21  53 

50 

1     00 

41  52 

39  54 

3803 

36  18 

34  40 

3308 

31  41 

30  19 

29  02 

27  49 

26  41 

25  35 

1     00 

10 

45  59 

44  00 

42  07 

40  21 

3840 

37  03 

35  33 

34  06 

32  43 

31  25 

30  12 

29  01 

10 

20 

49  27 

47  29 

45  37 

43  50 

42  08 

40  30 

3856 

37  27 

36  02 

34  40 

33  23 

32  08 

20 

30 

52  21 

50  27 

4837 

46  51 

45  09 

43  31 

41  57 

40  27 

39  00 

37  36 

36  16 

34  59 

SO 

40 

54  49 

5258 

51  12 

49  28 

47  47 

46  II 

44  37 
46  57 

43  06 

41  38 

40  14 

3853 

37  34 

40 

50 

5653 

55  07 

53  24 

51  42 

50  05 

4830 

45  27 

43  59 

42  37 

41  12 

39  53 

50 

2    00 

58  41 

5658 

55  18 

53  40 

52  04 

50  31 

49  00 

47  31 

46  04 

44  40 

43  18 

41  58 

2     00 

10 

60  12 

58  33 

5656 

55  21 

53  49 

52  iS 

50  48 

49  20 

47  55 

46  31 

45  10 

43  50 

10 

2a 

61  29 

59  54 

58  20 

56  49 

55  18 

53  50 

52  22 

50  57 

49  33 

48  II 

46  50 

45  30 

20 

30 

62  36 

61  05 

59  35 

58  05 

5638 

55  II 

53  46 

52  22 

51  00 

49  39 

48  19 

47  01 

30 

40 

63  33 

62  04 

60  37 

59  II 

57  46 

56  22 

54  59 

53  37 

52  16 

50  57 

49  38 

48  21 

40 

50 

64  21 

62  56 

61  31 

60  08 

5845 

57  24 

56  03 

54  43 

53  23 

52  06 

50  49 

49  32 

50 

3     00 

65  02 

63  40 

62  18 

6058 

5938 

58  17 

56  59 

55  40 

54  23 

53  06 

51  51 

50  35 

3    00 

10 

6538 

64  18 

62  59 

61  40 

60  21 

59  04 

57  47 

56  31 

55  15 

54  00 

52  45 

51  32 

10 

20 

66  08 

64  50 

63  33 

62  16 

61  00 

59  44 

58  29 

57  14 

56  00 

54  46 

53  33 

52  21 

20 

30 

6632 

65  16 

64  01 

62  47 

61  33 

60  20 

59  06 

57  52 

56  39 

5528 

54  16 

53  04 

30 

40 

6652 

65  39 

64  25 

63  13 

62  00 

60  48 

59  37 

5825 

57  14 

56  02 

54  52 

53  42 

40 

50 

67  08 

65  57 

64  46 

63  35 

62  23 

61  13 

60  02 

5852 

57  42 

56  33 

55  24 

54  14 

50 

4    00 

67  21 

66  II 

65  01 

63  52 

62  42 

61  33 

60  24 

59  15 

58  07 

5658 

55  49 

54  41 

4     00 

10 

67  29 

66  22 

65  13 

64  05 

62  57 

61  49 

60  42 

59  33 

58  26 

57  19 

56  12 

55  05 

10 

20 

6736 

66  29 

65  22 

64  15 

63  08 

62  02 

60  55 

59  48 

5841 

57  36 

56  30 

55  23 

20 

30 

67  39 

6634 

65  27 

64  21 

63  16 

62  II 

61  C5 

59  59 

5854 

57  49 

56  43 

55  38 

30 

40 

67  40 

6634 

65  30 

64  25 

63  21 

62  16 

61  12 

60  07 

59  02 

57  58 

56  53 

55  49 

40 

50 

67  37 

6633 

65  30 

64  26 

63  23 

62  19 

61  15 

60  II 

5908 

58  04 

57  01 

55  56 

50 

5    00 

67  32 

66  •^o 

65  27 

64  24 

63  21 

62  18 

61  16 

60  13 

59  10 

58  07 

57  04 

56  01 

5     00 

10 

67  25 

66  23 

65  21 

64  19 

63  17 

62  16 

61  13 

60  10 

59  09 

5807 

^7  04 

56  02 

10 

20 

67  16 

66  15 

65  13 

64  12 

63  II 

62  09 

61  08 

60  06 

59  05 

58  03 

57  01 

55  59 

20 

30 

67  05 

66  04 

65  03 

64  02 

63  02 

62  00 

6059 

59  58 

58  57 

57  56 

5656 

55  54 

30 

40 

66  51 

65  51 

64  50 

63  50 

62  49 

61  49 

60  48 

59  47 

58  47' 

57  47 

56  47 

55  45 

40 

50 

66  34 

65  34 

64  34 

63  35 

62  35 

61  35 

60  35 

59  34 

5835 

57  35 

56  35 

55  35 

50 

6    00 

66  16 

65  16 

64  16 

63 18 

62  18 

61  19 

60  18 

59  18 

58  19 

57  20 

56  19 

55  20 

6     00 

10 

65  56 

6456 

63  57 

62  57 

61  58 

60  59 

59  59 

59  °o 

58  01 

57  02 

■  56  02 

55  03 

10 

20 

65  32 

6433 

63  34 

62  35 

61  35 

60  37 

59  37 

5838 

57  40 

56  41 

55  41 

54  42 

20 

30 

6506 

6408 

63  09 

62  10 

61  10 

60  12 

59  13 

58  14 

57  16 

56  17 

55  17 

54  19 

30 

40 

6438 

§^ 

62  40 

61  42 

60  43 

59  44 

5845 

57  47 

5648 

55  50 

54  51 

53  53 

40 

50 

64  08 

62  10 

61  II 

60  12 

59  14 

58  15 

5717 

56  18 

55  20 

54  22 

53  23 

50 

7    ©0 

63  34 

6236 

61  36 

60  37 

59  39 

58  41 

57  42 

56  43 

55  45 

54  47 

53  49 

52  50 

7     00 

10 

62  58 

61  59 

61  00 

60  00 

59  02 

58  04 

57  05 

56  07 

55  09 

54  II 

53  12 

52 15 

10 

20 

62  18 

61  19 

60  20 

59  21 

5838 

58  22 

57  24 

56  25 

55  27 

54  29 

53  31 

52  33 

51 36 

20 

30 

61  36 

60  37 

59  37 

57  39 

56  41 

55  42 

54  43 

53  46 

5248 

51  50 

50  53 

30 

40 

60  51 

59  50 

58  51 

57  52 

56  52 

55  55 

54  56 

53  57 

53  00 

52  02 

51  03- 

50  06 

40 

50 

60  01 

59  01 

58  01 

57  02 

56  02 

55  04 

54  05 

53  06 

52  09 

51  II 

50  14 

49  16 

50 

8     00 

59  07 

5807 

57  07 

56  08 

55  08 

54  09 

53  II 

52  12 

51  15 

50  17 

49  19 

48  22 

8     00 

10 

58  10 

57  09 

56  08 

55  09 

54  10 

53  II 

52  12 

51  14 

50  15 

49  18 

48  21 

47  24 

10 

20 

57  08 

56  07 

55  06 

54  06 

53  06 

52  07 

51  09 

50  10 

49  13 

48  15 

47  18 

46  21 

20 

30 

56  01 

55  00 

53  59 

52  58 

51  59 

50  59 

50  01 

49  02 

48  04 

4708 

46  II 

45  15 

30 

40 

54  49 

53  47 

52  46 

51  45 

50  46 

49  46 

48  48 

47  49 

46  52 

45  55 

44  58 

44  03 

40 

50 

53  30 

52  29 

51  28 

50  27 

.49  27 

48  28 

47  29 

46  31 

45  34 

44  37 

43  41 

42  45 

50 

9    00 

52  06 

51  04 

50  03 

49  02 

48  03 

47  04 

46  05 

45  07 

44  II 

43  14 

42  19 

41  24 

9     00 

10 

^S^o 

49  33 

48  32 

47  31 

46  32 

45  33 

44  35 

43  37 

42  41 

41  45 

40  51 

39  56 

10 

20 

48  58 

47  56 

46  54 

45  53 

44  55 

43  57 

42  58 

42  01 

41  06 

40  11 

39  18 

38  23 

20 

30 

'47  12 

46  09 

45  08 

44  08 

43  09 

42  12 

41  15 

40  18 

39  24 

38  30 

37  36 

36  44 

30 

40 

45  18 

44  15 

43  15 

42  15 

41  17 

40  20 

39  24 

38  28 

37  35 

36  43 

35  49 

3458 

40 

50 

43  14 

42  12 

41  13 

40  13 

39  16 

38  20 

37  25 

36  32 

35  39 

34  48 

33  57 

33  07 

50 

10    00 

41  01 

40  00 

39  01 

38  04 

37  07 

36  13 

35  19 

34  26 

33  36 

32  47 

31  57 

31  09 

10     00 

10 

3836 

37  37 

36  39 

35  44 

34  49 

33  57 

33  05 

32  13 

31  25 

30  37 

29  51 

29  04 

10 

20  ■ 

36  01 

35  04 

34  08 

33  14 

32  21 

31  31 

30  42 

29  53 

29  07 

28  22 

27  37 

26  51 

20 

30 

33  13 

32  19 

31  26 

30  35 

29  45 

28  57 

28  10 

27  24 

26  41 

25  58 

25  16 

24  35 

30 

40 

30  15 

29  23 

2833 

27  44 

2658 

26  14 

25  30 

24  47 

24  07 

23  27 

22  49 

22  11 

40 

50 

27  03 

26  15 

25  29 

24  45 

24  02 

23  21 

22  41 

22  03 

21  25 

20  49 

20  15 

19  41 

50 

11    00 

23  39 

22  56 

22  15 

21  35 

20  56 

20  20 

19  45 

19  10 

18  37 

18  05 

17  34 

17  04 

11     00 

16 

20  05 

19  26 

18  51 

18  15 

17  42 

•  17  II 

16  40 

16  II 

15  42 

15  15 

14  49 

14  23 

10 

20 

16  18 

15  47 

15  16 

14  48 

14  21 

13  55 

13  29 

13  05 

12  41 

12  19 

II  57 

II  36 

20 

30 

12  22 

II  58 

II  35 

II  13 

10  52 

10  32 

10  12 

9  53 

9  36 

9  19 

9  02 

8  45 

30 

40 

8  20 

8  Oi 

7  47 

7  32 

7  18 

7  04 

651 

638 

6  26 

6  15 

6  03 

5  53 

40 

SO 

4  II 

4  03 

3  54 

3  47 

3  40 

3  33 

3  26 

3  20 

3  14 

308 

3  03 

2  57 

50 

12    00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CX) 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


42 


AZIMUTH  OR  TRUE  BEARING. 


liATITlIDE  9°. 

DECUNATION- 

-SAME  NAME  AS— IvATITUDE.  - 

L.AT1TUDE  9°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

li. 

m. 

■   o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  / 

0  t 

It.    ni. 

O 

OO. 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

4  26 

4  15 

4  03 

3  52 

3  43 

3  34 

3  24 

3  16 

3  08 

3  00 

2  52 

2  46 

10 

. 

ao 

849 

8  26 

8  03 

7  43 

7  22 

7  04 

6  47 

6  30 

6  14 

558 

5  44 

5  30 

20 

30 

13  03 

12  29 

II  57 

II  26 

10  58 

10  31 

10  05 

9  41 

9  17 

8  54 

8  33 

8  13 

30 

40 

17  08 

16  24 

15  42 

15  03 

14  26 

13  51 

13  17 

12  45 

12  15 

II  47 

II  19 

10  52 

40 

50 

20  58 

20  05 

19  16 

18  30 

17  45 

17  03 

16  23 

15  45 

15  07 

14  31 

1358 

13  26 

50 

1 

OO 

84  33 

23  34 

22  38 

21  45 

20  54 

20  06 

19  19 

1835 

17  53 

17  II 

16  32 

15  55 

1     00 

lO 

27  53 

26  48 

25  47 

24  48 

23  53 

22  59 

22  07 

21  18 

20  30 

19  44 

19  00 

18  17 

10 

20 

30  56 

29  47 

28  42 

27  39 

26  39 

25  40 

24  44 

23  51 

22  58 

22  08 

21  20 

20  33 

20 

30 

33  44 

32  32 

31  24 

30  17 

29  13 

28  12 

27  12 

26  14 

25  19 

24  25 

23  33 

22  43 

30 

40 

36  17 

35  03 

33  52 

32  43 

31  36 

30  32 

29  29 

28  29 

27  30 

26  33 

25  37 

24  44 

40 

50 

38  35 

37  19 

36  07 

34  56 

33  47 

32  41 

31  36 

30  33 

29  32 

28  32 

27  34 

26  38 

50 

2 

OO 

40  40 

39  23 

38  10 

3658 

3548 

34  40 

33  33 

32  29 

31  26 

30  25 

29  24 

28  26 

2     00 

lO 

42  32 

41  15 

40  01 

38  49 

3738 

3629 

35  22 

34  15 

33  II 

32  08 

31  05 

30  06 

10 

20 

44  13 

42  57 

41  43 

40  29 

39  18 

3808 

37  00 

35  54 

34  48 

33  43 

32  39 

31  38 

20 

30 

45  43 

44  28 

43  13 

42  01 

40  49 

39  40 

3831 

37  23 

36  17 

35  II 

34  07 

33  04 

30 

40 

47  05 

45  50 

44  36 

43  23 

42  12 

41  01 

39  53 

3845 

3738 

36  32 

35  27 

34  23 

40 

60 

48  17 

47  03 

45  50 

44  37 

43  26 

42  16 

41  07 

39  59 

3851 

37  45 

36  40 

35  35 

50 

3 

OO 

49  22 

48  08 

46  55 

45  44 

44  34 

43  24 

42  15 

41  07 

39  59 

3853 

37  47 

36  42 

.  3     00 

lO 

50  18 

49  06 

47  55 

46  43 

45  34 

44  24 

43  15 

42  08 

41  00 

39  53 

38  47 

37  43 

10 

20 

51  09 

49  58 

48  47 

47  36 

46  27 

45  19 

44  10 

43  02 

41  56 

40  49 

39  43 

3838 

20 

30 

51  53 

50  43 

49  33 

48  23 

47  15 

46  07 

44  59 

43  52 

42  44 

41  38 

40  33 

39  28 

30 

40 

52  32 

51  23 

50  14 

49  05 

47  56 

46  49 

45  42 

44  35 

43  29 

42  23 

41  17 

40  II 

40 

50 

53  05 

51  56 

50  49 

49  40 

48  33 

47  26 

46  20 

45  13 

44  07 

43  01 

41  57 

40  52 

60 

4 

OO 

53  34 

52  26 

51  18 

50  II 

49  05 

47  59 

46  53 

45  47 

44  41 

43  36 

42  31 

41  26 

4     00 

10 

5358 

52  51 

51  45 

5038 

49  33 

48  27 

47  21 

46  16 

45  II 

44  06 

43  01 

41  57 

10 

20 

54  17 

53  12 

52  06 

51  00 

49  55 

48  50 

47  45 

46  40 

45  36 

44  31 

43  27 

42  23 

20 

30 

54  33 

53  28 

52  24 

51  18 

50  13 

49  10 

48  05 

47  01 

45  56 

44  53 

43  49 

42  46 

30 

40 

54  45 

53  40 

52  37 

51  32 

50  29 

49  24 

48  21 

47  17 

46  14 

45  10 

44  07 

43  04 

40 

60 

54  53 

53  50 

52  47 

51  43 

50  39 

49  36 

4833 

47  30 

46  27 

45  24 

44  21 

43  18 

50 

5 

00 

5458 

53  56 

52  53 

51  50 

50  47 

49  44 

48  41 

47  39. 

46  36 

45  34 

44  31 

43  29 

5     00 

lO 

54  59 

53  57 

52  55 

51  53 

50  51 

49  49 

48  47 

47  44 

46  42 

45  40 

44  38 

43  36 

10 

20 

54  58 

53  56 

52  55 

51  53 

50  52 

49  50 

48  48 

47  47 

4&  45 

45  43 

44  42 

43  40 

20 

30 

54  53 

53  52 

52  50 

51  50 

5048 

49  48 

48  46 

47  45 

46  43 

45  42 

44  41 

43  40 

30 

40 

54  45 

53  45 

52  44 

51  43 

50  43 

49  42 

48  41 

47  41 

46  40 

45  38 

44  37 

43  37 

40 

60 

54  34 

53  34 

52  34 

51  34 

50  34 

49  34 

48  33 

47  33 

46  33 

45.32 

44  31 

43  31 

50 

6 

OO 

54  20 

53  20 

52  21 

51  21 

50  21 

49  21 

48  21 

47  22 

46  22 

45  21 

44  21 

43  22 

6     00 

lO 

54  03 

53  04 

52  04 

51  05 

50  06 

49  06 

48  06 

47  07 

46  07 

45  08 

44  08 

43  09 

10 

20 

53-44 

52  44 

51  45 

50  46 

49  47 

48  48 

47  49 

46-50 

45  50 

44  51 

43  52 

42  53 

20 

30 

53  20 

52  21 

51  22 

50  24 

49  25 

48  27 

47  27 

46  29 

45  30 

44  32 

43  33 

42  34 

30 

40 

52  54 

51  56 

50  57 

49  59 

49  00 

48  02 

47  04 

46  05 

45  06 

44  08 

43  10 

42  12 

40 

50 

52  25 

51  26 

50  28 

49  30 

48  32 

47  34 

46  36 

4538 

44  41 

43  43 

42  45 

41  47 

50 

7 

OO 

51  53 

50  55 

49  56 

48  59 

48  01 

47  03 

46  06 

4508 

44  II 

43  13 

42  15 

41  18 

7     00 

lO 

51  16 

50  19 

49  21 

48  24 

47  26 

46  29 

45  32 

44  34 

43  37 

42  40 

41  43 

40  46 

10 

20 

5038 

49  40 

48  43 

47  46 

46  48 

45  51 

44  55 

43  57 

43  01 

42  04 

41  07 

40  II 

20 

30 

49  55 

48  57 

48  01 

47  04 

46  07 

45  10 

44  14 

43  17 

42  21 

41  25 

40  28 

39  33 

30 

40 

49  09 

48  12 

47  15 

46  18 

45  22 

44  26 

43  29 

42  34 

41  38 

40  42 

39  47 

38  51 

40 

50 

48  19 

47  22 

46  26 

45  30 

44  34 

43  38 

42  41 

41  46 

40  51 

39  56 

39  01 

38  06 

50 

8 

OO 

47  25 

46  28 

45  33 

44  36 

43  41 

42  46 

41  49 

40  55 

40  00 

39  06 

38  II 

37  17 

8     00 

10 

46  27 

45  31 

44  35» 

43  40 

42  44 

41  50 

40  54 

40  00 

3906 

38  13 

37  19 

36  25 

10 

20 

45  25 

44  30 

43  34 

42  39 

41  43 

40  49 

39  55 

39  01 

3808 

37  15 

36  22 

35  29 

20 

30 

44  19 

43  23 

42  28 

41  33 

40  40 

39  45 

38  52 

37  59 

37  07 

36  14 

35  22 

34  31 

30 

40 

43  07 

42  12 

41  18 

40  23 

39  30 

38  37 

37  44 

36  53 

36  00 

35  09 

34  18 

33  27 

40 

50 

41  51 

40  56 

40  03 

39  10 

38  16 

37  25 

36  32 

35  41 

34  50 

33  59 

33  1° 

32  20 

50 

9 

OO 

40  29 

39  35 

38  42 

37  49 

36  58 

36  07 

35  16 

34  26 

33  36 

32  46 

31  57 

31  09 

9     00 

lO 

39  02 

38  10 

37  17 

36  26 

35  35 

34  45 

33  54 

33  07 

32  17 

31  29 

30  42 

29  54 

10 

20 

37  31 

36  39 

35  47 

34  57 

34  08 

33  18 

32  30 

31  42 

30  55 

30  08 

29  22 

28  36 

20 

30 

35  53 

35  02 

34  12 

33  22 

32  34 

31  46 

30  59 

30  13 

29  28 

28  42 

27  58 

27  14 

30 

40 

34  09 

33  19 

32  31 

31  43 

30  57 

30  10 

29  24 

28  40 

27  56 

27  13 

26  30 

25  47 

40 

50 

32  18 

31  31 

30  44 

29  58 

29  13 

28  29 

27  45 

27  02 

26  19 

25  39 

2458 

24  17 

50 

10 

OO 

30  23 

29  36 

28  52 

28  07 

27  25 

26  42 

26  01 

25  20 

24  39 

24  00 

23  21 

22  43 

10   00 

10 

28  20 

27  36 

26  54 

26  II 

25  30 

24  51 

24  II 

23  33 

22  55 

22  17 

21  41 

21  05. 

10 

20 

26  12 

25  30 

24  50 

24  10 

23  32 

22  55 

22  18 

21  42 

21  05 

20  31 

19  57 

19  24 

20 

30 

23  56 

23  17 

22  40 

22  03 

21  28 

20  53 

20  19 

19  46 

19  13 

18  41 

18  10 

17  38 

30 

1 

40 

21  35 

21  00 

20  25 

19  51 

19  19 

18  47 

i8  15 

17  45 

17  16 

16  46 

16  17 

15  50 

40 

50 

19  08 

18  36 

18  05 

17  35 

17  06 

16  37 

16  09 

15  42 

15  15 

14  49 

14  24 

1358 

50 

11 

OO 

1636 

16  07 

15  39 

15  14  ' 

14  48 

14  22 

1358 

13  34 

13  II 

12  48 

12  26 

12  04 

11     00 

lO 

13  58 

13  34 

13  10 

12  48 

12  26 

12  05 

II  44 

II  24 

II  05 

10  44 

10  26 

10  07 

10 

20 

II  16 

10  56 

10  38 

10  19 

ID  02 

9  44 

9  27 

9  10 

855 

8  41 

825 

8  09 
6  08 

20 

30 

8  30 

8  16 

8  00 

7  47 

7  34 

7  20 

7  07 

655 

6  42 

631 

6  19 

30 

40 

5  43 

5  32 

5  22 

5  12 

5  04 

4  54 

4  46 

4  37 

4  30 

4  22 

4  14 

4  07 

40 

50 

2  51 

2  46 

2  42 

2  37 

2  32 

2  27 

2  23 

2  20 

2  15 

2  II 

2  07 

2  03 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


43 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  9°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  9°. 



Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

b. 

m. 

o   / 

0  ' 

0  / 

0  r 

0  / 

0  / 

0  / 

0  / 

0  / 

0  f 

0  / 

0  / 

b.    ni. 

o 

OO 

o  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

2  39 

2  33 

2  28 

2  21 

2  15 

2  10 

4  08 

2  00 

I  55 

I  50 

1  45 

I  41 

10 

20 

5  17 

5  05 

4  53 

4  41 

4  30 

4  19 

3  59 

3  49 

3  40 

3  30 

3  21 

.  20 

30 

7  53 

7  35 

7  16 

6  59 

6  43 

627 

6  12 

556 

542 

528 

5  14 

5  01 

30 

40 

10  26 

10  02 

938 

9  15 

853 

832 

8  12 

752 

7  33 

7  15 

^57 

t^i 

40 

50 

12  55 

12  25 

n  56 

11  28 

II  01 

10  35 

10  10 

9  46 

9  23 

9  00 

837 

8  16 

60 

1 

OO 

15  18 

14  43 

14  09 

13  37 

13  06 

12  35 

12  06 

II  37 

11  09 

10  42 

10  16 

9  50 

1     00 

lO 

17  37 

16  57 

16  18 

15  41 

15  05 

14  31 

13  57 

13  24 

12  53 

12  22 

II  52 

11  22 

10 

ao 

19  48 

19  04 

18  22 

17  41 

17  01 

16  22 

15  45 

15  08 

14  33 

13  59 

13  25 

12  52 

20 

30 

21  53 

21  06 

20  21 

19  35 

18  52 

19  10 

17  29. 

16  49 

16  10 

15  32 

14  55 

14  19 

30 

40 

23  52 

23  01 

22  12 

21  25 

20  38 

19  53 

19  09 

18  26 

17  43 

^Z  °i 

16  22 

15  44 

•   40 

50 

25  43 

24  50 

2358 

23  08 

22  18 

21  31 

20  43 

19  57 

19  13 

18  28 

17  45 

17  04 

50 

it 

OO 

27  28 

26  33 

25  39 

24  46 

23  54 

23  03 

22  14 

21  25 

20  38 

19  51 

19  05 

18  21 

2     00 

lO 

29  06 

28  09 

27  12 

26  18 

25  23 

24  30 

23  38 

22  47 

21  58 

21  08 

20  21 

19  34 

10 

ao 

3038 

2938 

28  40 

27  43 

26  47 

25  52 

24  58 

24  06 

23  14 

22  23 

21  33 

20  43 

20 

30 

32  02 

31  01 

30  02 

29  04 

28  06 

27  09 

26  14 

25  20 

24  26 

23  32 

22  41 

21  50 

30 

40 

33  20 

32  19 

31  18 

30  18 

29  19 

28  21 

27  25 

26  28 

25  33 

24  38 

23  45 

22  53 

40 

50 

34  32 

33  29 

32  28 

31  27 

30  27 

29  29 

28  31 

27  33 

26  36 

25  41 

24  46 

23  51 

50 

3 

OO 

3538 

34  35 

33  33 

32  32 

31  30 

30  31 

29  31 

28  32 

27  35 

2638 

25  42 

24  46 

3     00 

lO 

3638 

35  35 

34  33 

33  30 

32  28 

31  28 

30  27 

29  28 

28  30 

27  31 

26  33 

25  37 

10 

20 

37  33 

3629 

35  27 

34  24 

33  22 

32  21 

31  19 

30  19 

29  19 

28  21 

27  22 

26  24 

20 

30 

38  23 

37  18 

36  15 

35  12 

34  10 

33  08 

32  07 

31  06 

30  05 

29  06 

28  07 

27  08 

30 

40 

39  07 

3803 

37  00 

35  56 

34  54 

33  51, 

32  50 

31  48 

30  47 

29  47 

2847 

27  48 

40 

50 

39  47 

3843 

37  40 

36  37 

35  33 

34  31 

33  29 

32  27 

31  26 

30  25 

29  25 

28  25 

50 

4 

OO 

40  21 

39  18 

38  15 

37  II 

3608 

35  05 

34  03 

33  01 

32  00 

3058 

29  58 

28  58 

4     00 

10 

40  52 

39  49 

3845 

37  43 

36  39 

35  37 

34  34 

33  32 

32  31 

31  29 

30  27 

29  27 

10 

20 

41  19 

40  15 

39  13 

38  10 

37  06 

36  04 

35  01 

3358 

32  57 

31  55 

30  54 

29  52 

20 

30 

41  42 

40  38 

39  36 

3833 

37  29 

3627 

35  25 

34  23 

33  20 

32  19 

31  17 

30  16 

30 

40 

42  00 

40  57 

39  55 

3852 

37  49 

36  47 

35  45 

34  42 

33  40 

32  39 

31  36 

30  35 

40 

50 

42  15 

41  12 

40  10 

3908 

3805 

37  03 

36  01 

3458 

33  56 

32  54 

31  52 

30  52 

50 

5 

OO 

42  26 

41  24 

40  22 

39  20 

38  17 

37  15 

36  13 

35  II 

34  10 

3308 

32  05 

31  04 

5     00 

lO 

42  33 

41  31 

40  31 

39  28 

38  26 

37  24 

36  22 

35  20 

34  19 

33  18 

32  15 

31  14 

10 

20 

4238 

41  36 

40  35 

39  33 

38  31 

37  30 

36  29 

35  27 

34  25 

33  23 

32  22 

31  21 

20 

30 

4238 

41  37 

40  36 

39  34 

38  33 

37  33 

36  31 

35  30 

34  28 

33  28 

32  26 

31  25 

30 

40 

42  36 

41  35 

40  35 

39  33 

3832 

37  31 

36  31 

35  29 

34  29 

33  28 

32  27 

31  26 

40 

50 

42  30 

41  30 

40  29 

39  29 

38  28 

37  28 

36  27 

35  27 

34  26 

33  25 

32  25 

31  24 

50 

6 

OO 

42  21 

41  21 

40  21 

39  21 

38  20 

37  21 

36  20 

35  20 

34  20 

33  20 

32  20 

31  19 

6     00 

lO 

42  08 

41  09 

40  10 

39  10 

38  10 

37  II 

36  10 

35  II 

34  II 

33  II 

32  II 

31  12 

10 

20 

41  53 

40  54 

39  56 

3856 

37  56 

36  57 

35  58 

34  58 

33  59 

32  59 

32  00 

31  01 

20 

30 

41  35 

40  36 

39  38 

3838 

37  39 

36  41 

35  42 

34  43 

33  44 

32  45 

31  46 

30  47 

30 

40 

41  13 

40  15 

39  17 

38  18 

37  19 

36  22 

35  23 

34  25 

33  27 

32  27 

31  29 

30  31 

40 

50 

40  48 

39  50 

38  53 

37  56 

36  57 

35  59 

35  02 

34  03 

33  05 

32  08 

31  10 

30  12 

50 

7 

OO 

40  20 

39  23 

38  26 

37  28 

36  30 

35  34 

34  36 

33  39 

32  41 

31  44 

30  47 

29  50 

7     00 

lO 

39  48 

3852 

37  56 

3658 

36  02 

35  05 

34  08 

33  12 

32  15 

31  19 

30  22 

29  26 

10 

20 

39  14 

38  18 

37  22 

36  26 

35  30 

34  34 

33  37 

32  41 

31  46 

30  50 

29  54 

28  59 

20 

30 

38  36 

37  41 

36  46 

35  50 

34  54 

33  59 

33  04 

32  08 

31  13 

30  18 

29  23 

28  29 

30 

40 

37  56 

37  00 

36  05 

35  II 

34  16 

33  22 

32  27 

31  32 

3038 

29  44 

28  49 

27  56 

40 

50 

37  II 

36  17 

35  23 

34  28 

33  34 

32  41 

31  47 

30  54 

30  00 

29  06 

28  13 

27  20 

50 

8 

OO 

36  23 

35  30 

34  36 

33  43 

32  49 

31  56 

31  04 

30  II 

29  19 

28  27 

27  34 

26  42 

8     00 

lO 

35  32 

34  39 

33  47 

32  55 

32  02 

31  10 

30  18 

29  26 

28  34 

27  43 

26  52 

26  02 

10 

20 

34  37 

33  44 

32  52 

32  02 

31  II 

30  20 

29  29 

2838 

27  47 

26  58 

26  07 

25  17 

20 

30 

3338 

32  47 

31  57 

31  06 

30  16 

29  26 

2836 

27  47 

26  57 

26  09 

25  20 

24  31 

30 

40 

32  36 

31  47 

30  57 

30  08 

29  19 

28  30 

27  41 

26  52 

26  05 

25  17 

24  30 

23  43 

40 

50 

31  31 

30  42 

29  54 

29  06 

28  18: 

27  30 

26  43 

25  56 

25  10 

24  23 

23  37 

22  52 

50 

9 

OO 

30  21 

29  33 

28  46 

27  59 

27  12 

26  27 

25  41 

24  56 

24  10 

23  26 

22  42 

21  57 

9     00 

lO 

29  08 

28  21 

27  36 

26  51 

26  05 

25  21 

24  37 

23  52 

23  09 

22  26 

21  43 

21  00 

10 

20 

27  51 

27  06 

26  22 

25  38 

24  55 

24  12 

23  29 

22  47 

22  05 

21  23 

20  42 

20  01 

20 

"* 

30 

26  30 

25  47 

25  04 

24  22 

23  41 

23  00 

22  18 

21  39 

20  58 

20  18 

19  39 

19  00 

30 

40 

25  05 

24  24 

23  43 

23  03 

22  24 

21  44 

21  05 

20  26 

19  48 

19  10 

18  33 

17  56 

40 

50 

23  37 

22  58 

22  19 

21  40 

21  03 

20  25 

19  49 

19  12 

1836 

18  00 

17  25 

16  50 

50 

lO 

OO 

22  05 

21  28 

20  52 

20  15 

19  40 

19  04 

18  30 

17  56 

17  22 

16  48 

16  15 

15  42 

10     00 

lO 

20  29 

19  54 

19  21 

18  46 

18  13 

17  41 

17  08 

1636 

16  04 

15  33 

15  02 

14  31 

10 

20 

i8  50 

18  18 

17  46 

17  14 

16  44 

16  14 

15  43 

15  14 

14  45 

14  16 

13  47 

13  19 

20 

30 

17  08 

16  38 

16  09 

15  41 

15  12 

14  44 

14  17 

13  50 

13  23 

12  56 

12  30 

12  05 

30 

40 

15  22 

14  55 

14  30 

14  03 

13  38 

13  13 

12  48 

12  23 

II  59 

II  35 

II  II 

10  49 

40 

50 

13  34 

13  lo 

12  46 

12  23 

12  00 

II  38 

II  16 

1055 

10  33 

10  13 

951 

931 

50 

11 

OO 

II  43 

11  22 

II  02 

10  42 

10  22 

10  02 

9  43 

9  25 

9  06 

8  48 

8  30 

813 

11     00 

lO 

9  49 

9  32 

9  14 

857 

8  41 

8  25 

8  09 

7  53 

7  37 

7  23 

7  07 

652 

10 

20 

7  54 

7  40 

726 

7  13 

6  59 

646 

633 

6  20 

6  08 

5  55 

5  43 

5  31 

20 

30 

5  57 

5  46 

5  35 

5  26 

5  15 

506 

4  56 

4  46 

4  37 

4  27 

4  18 

4  09 

30 

40 

3  59 

3  51 

3  45 

338 

3  31 

3  24 

3  18 

3  II 

3  05 

258 

2  52 

2  46 

40 

50 

2  00 

156 

I  53 

I  49 

I  45 

I  42 

138 

I  35 

I  33 

I  30 

I  26 

I  24 

SO 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  dilTerent  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


44 


AZIMUTH    OR   TRUE    BEARING. 


IjAtitvde:  8 

o. 

DECLINATION-SAME  NAME  AS— I^ATITUDE. 

liATITUDE  9°. 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

650 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

li. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

b.    m. 

e 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

I  37 

I  32 

I  28 

I  25 

I  21 

I  17 

I  13 

I  09 

I  05 

I  02 

0  59 

10 

20 

3  13 

3  04 

256 

2  48 

2  40 

2  33 

2  25 

2  18 

2  11 

2  04 

I  57 

20 

30 

■448 

4  35 

4  23 

4  II 

4  00 

3  49 

3  37 

3  27 

3  16 

3  05 

2  55 

30 

40 

6  22 

6  05 

5  49 

5  34 

5  18 

5  03 

4  49 

4  35 

4  20 

4  07 

3  53 

40 

60 

7  54 

7  34 

7  14 

6  55 

6  36 

6  17 

5  59 

5  41 

5  23 

5  07 

4  50 

50 

1 

OO 

9  26 

9  01 

837 

8  14 

7  52 

7  29 

7  08 

6  47 

6  26 

6  06 

546 

1     00 

lO 

10  54 

10  26 

9  59 

9  32 

9  06 

8  41 

8  16 

7  52 

728 

7  04 

6  41 

10 

20 

12  20 

II  49 

II  18 

10  49 

10  19 

9  51 

9  22 

8  55 

8  28 

8  01 

7  35 

20 

30 

13  44 

13  10 

12  36 

12  02 

II  30 

10  59 

10  27 

9  57 

9  27 

8  57 

8  29 

'  30 

• 

40 

15  05 

14  28 

13  51 

13  15 

12  39 

12  04 

II  30 

10  57 

10  24 

9  52 

9  20 

40 

50 

16  22 

15  42 

15  03 

14  24 

13  45 

13  08 

12  31 

II  55 

II  19 

10  44 

10  10 

50 

ft 

OO 

1736 

16  54 

16  12 

15  31 

14  50 

14  09 

13  30 

12  51 

12  13 

II  36 

10  59 

2     00 

lO 

18  48 

18  02 

17  17 

16  34 

15  50 

14  26 

13  45 

13  04 

12  24 

II  45 

10 

20 

19  56 

19  08 

18  21 

17  35 

16  50 

16  04 

15  21 

14  37 

13  55 

13  12 

12  30 

20 

30 

21  00 

20  II 

19  22 

18  34 

17  45 

16  58 

16  12 

15  27 

14  42 

13  57 

13  14 

30 

40 

22  00 

21  09 

20  19 

19  29 

18  39 

17  50 

17  02 

16  14 

15  28 

14  41 

13  55 

40 

50 

22  57 

22  05 

21  12 

20  21 

19  29 

18  38 

17  49 

17  00 

16  II 

15  22 

14  34 

50 

3 

OO 

23  51 

22  57 

22  02 

21  19 

20  17 

19  24 

1833 

17  42 

16  51 

16  01 

15  12 

3     00 

10 

24  41 

23  45 

22  50 

21  56 

21  00 

20  07 

19  14 

18  21 

17  30 

16  38 

15  47 

10 

20 

25  26 

24  30 

23  34 

22  38 

21  42 

20  47 

19  53 

19  00 

18  06 

17  13 

16  20 

20 

30 

26  09 

25  12 

24  14 

23  18 

22  21 

21  25 

20  29 

19  34 

1839 

17  45 

16  51 

30 

40 

26  49 

25  50 

24  52 

23  54 

22  56 

22  00 

21  03 

20  07 

19  II 

18  16 

17  21 

40 

50 

27  24 

26  25 

25  26 

24  28 

23  29 

22  31 

21  34 

20  36 

19  40 

18  43 

17  47 

50 

4 

OO 

27  56 

26  57 

25  57 

24  58 

23  59 

23  00 

22  02 

21  03 

20  06 

19  08 

18  11 

4     00 

lO 

28  26 

27  26 

26  25 

25  26 

24  26 

23  26 

22  27 

21  28 

20  30 

19  32 

18  34 

10 

ao 

26  52 

27  51 

26  50 

25  50 

24  50 

23  49 

22  50 

21  51 

20  51 

19  52 

1854 

20 

30 

29  14 

28  13 

27  12 

26  12 

25  II 

24  10 

23  II 

22  II 

21  II 

20  II 

19.12 

30 

40 

29  33 

2833 

27  31 

26  31 

25  29 

24  28 

23  28 

22  27 

21  27 

20  27 

19  27 

40 

50 

29  50 

28  49 

27  46 

26  45 

25  44 

24  43 

23  43 

22  42 

21  42 

20  41 

19  41 

50 

5 

OO 

30  02 

29  02 

28  00 

26  59 

25  57 

24  56 

23  56 

22  55 

21  54 

20  52 

19  52 

5     00 

lO 

30  12 

29  12 

28  10 

27  09 

26  07 

25  06 

24  05 

23  03 

22  03 

21  02 

20  01 

10 

ao 

30  20 

29  19 

28  17 

27  16 

26  14 

25  13 

24  12 

23  II 

22  10 

21  08 

20  07 

20 

30 

30  24 

29  23 

28  21 

27  20 

26  19 

25  18 

24  16 

23  16 

22  15 

21  13 

20  13 

30 

40 

30  25 

29  24 

28  23 

27  22 

26  20 

25  19 

24  19 

23  18 

22  18 

21  16 

20  15 

40 

50 

30  24 

29  23 

28  21 

27  21 

26  20 

25  19 

24  18 

23  18 

22  17 

21  16 

20  15 

50 

6 

OO 

30  19 

29  18 

28  18 

27  17 

26  17 

25  16 

24  17 

23  16 

22  15 

21  15 

20  14 

6     00 

lO 

30  II 

29  12 

28  II 

27  12 

26  n 

25  n 

24  II 

23  10 

22  ID 

21  09 

20  09 

10 

20 

30  01 

29  02 

28  02 

27  02 

26  02 

25  02 

24  03 

23  03 

22  04 

21  03 

20  04 

20 

30 

29  48 

28  50 

27  50 

26  51 

25  52 

24  52 

23  53 

22  54 

21  55 

20  55 

19  56 

30 

40 

29  33 

2834 

27  35 

26  37 

25  38 

24  39 

23  41 

22  42 

21  43 

20  44 

19  45 

40 

50 

29  14 

28  17 

27  19 

26  20 

25  22 

24  23 

23  26 

22  28 

21  30 

20  31 

19  33 

50 

7 

OO 

2853 

27  56 

26  58 

25  59 

25  04 

24  06 

23  10 

22  12 

21  15 

20  16 

19  19 

7     00 

lO 

28  29 

27  33 

26  36 

25  39 

24  43 

23  46 

22  50 

21  53 

20  57 

20  00 

19  03 

10 

20 

28  03 

27  07 

26  10 

25  15 

24  20 

23  24 

22  29 

21  33 

20  37 

19  41 

18  45 

20 

30 

27  33 

26  39 

25  43 

24  49 

23  54 

22  59 

22  04 

ai  10 

20  15 

19  20 

18  25 

30 

40 

27  02 

26  08 

25  13 

24  20 

23  26 

22  32 

21  38 

2045 

19  51 

18  57 

18  04 

40 

50 

26  28 

25  35 

24  41 

23  49 

22  56 

22  03 

21  10 

20  17 

19  25 

18  32 

1739 

50 

8 

OO 

25  50 

2458 

24  06 

23  15 

22  22 

21  31 

"  20  40 

19  48 

18  57 

18  05 

17  13 

8    ?2 

lO 

25  10 

24  19 

23  29 

22  38 

21  47 

20  57 

20  07 

19  17 

18  27 

17  36 

16  46 

10 

20 

24  28 

23  39 

22  49 

22  00 

21  10 

20  21 

19  33 

18  43 

17  55 

17  06 

16  17 

20 

30 

23  43 

22  55 

22  07 

21  19 

20  31 

19  43 

18  56 

18  08 

17  21 

16  34 

15  47 

30 

40 

22  56 

22  09 

21  22 

20  36 

19  49 

19  02 

18  17 

17  31 

16  45 

15  59 

15  14 

40 

50 

22  06 

21  20 

20  34 

19  50 

19  05 

18  21 

17  37 

16  52 

16  07 

15  23 

14  39 

50 

9 

OO 

21  13 

20  29 

19  46 

19  03 

18  19 

17  36 

16  54 

16  10 

15  29 

14  46 

14  04 

9    00 

10 

20  18 

19  36 

1854 

18  13 

17  31 

16  49 

16  09 

15  28 

14  47 

14  06 

13  26 

10 

20 

19  21 

18  41 

18  00 

17  21 

16  40 

16  01 

15  22 

14  44 

14  05 

13  25 

12  47 

20 

30 

18  22 

17  43 

17  05 

16  27 

15  49 

15  II 

14  35 

13  57 

13  21 

12  43 

12  07 

30 

40 

17  20 

16  43 

16  07 

15  31 

14  55 

14  19 

13  45 

13  09 

12  34 

II  59 

II  25 

40 

60 

16  16 

15  41 

15  06 

14  33 

13  59 

13  26 

12  52 

12  20 

II  46 

II  14 

10  42 

50 

lo 

OO 

15  10 

14  37 

14  05 

13  34 

13  02 

12  31 

12  00 

II  29 

10  58 

10  27 

9  57 

10   00 

10 

14  01 

13  31 

13  02 

12  32 

12  03 

11  34 

II  05 

10  36 

10  08 

9  39 

9  II 

10 

20 

12  52 

12  24 

II  56 

II  30 

II  03 

10  35 

10  09 

9  43 

9  17 

8  51 

8  25 

20 

30 

"  39 

II  14 

10  50 

ID  25 

10  00 

936 

9  12 

8  48 

8  25 

8  00 

7  38 

30 

40 

10  26 

10  04 

9  41 

9  19 

857 

8  35 

8  14 

7  52 

7  31 

7  10 

6  49 

40 

50 

9  " 

852 

832 

8  12 

7  53 

7  33 

7  15 

655 

637 

6  18 

6  00 

50 

11 

OO 

7  55 

7  37 

7  20 

7  04 

6  47 

6  30 

6  14 

558 

5  42 

526 

5  10 

11     00 

lO 

6  38 

623 

6  09 

5  55 

5  40 

5  27 

5  13 

5  00 

4  45 

4  32 

4  19 

10 

20 

5  19 

5  07 

4  56 

4  44 

4  33 

4  22 

4  11 

4  00 

3  50 

3  39 

3  28 

20 

30 

4  00 

3  51 

3  43 

3  34 

3  26 

3  17 

3  08 

3  00 

2  52 

2  44 

236 

30 

40 

2  41 

•  2  35 

2  29 

2  23 

2  18 

2  12 

2  06 

2  01 

I  56 

I  49 

I  44 

40 

50 

I  20 

I  18 

I  15 

I  12 

I  09 

I  06 

I  03 

I  01 

0  58 

0  55 

0  53 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Korth  latitude,  -when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  anu 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


45 


AZIMUTH  OR  TRUE   BEARING. 


I4ATITUDX:  10°. 

DECI,INATION- 

-SAME 

NAME  AS— LATITUDE. 

liATITUDE  10°. 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hoar  Angle. 

li. 

m. 

0  / 

0  / 

0  / 

0  / 

0  r 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

b.    m. 

0 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CX) 

0  00 

0  00 

0  00 

0  CX) 

0  00 

0    00 

10 

9  21 

8  41 

8  06 

7  34 

7  07 

6  41 

6  18 

5  57 

5  39 

5  21 

5  04 

4  50 

10 

20 

18  II 

16  56 

15  50 

14  51 

1358 

ij  09 

12  26 

II  46 

II  09 

10  35 

10  04 

9  34 

20 

30 

26  07 

24  27 

22  57 

21  36 

20  23 

19  15 

iS  14 

17  17 

16  25 

15  36 

14  51 

14  10 

30 

40 

32  59 

31  04 

29  18 

27  43 

26  14 
31  26 

24  51 

23  36 

22  26 

21  21 

20  21 

19  24 

18  31 

40 

50 

3849 

36  46 

34  51 

33  OS 

29  54 

28  28 

27  09 

25  54 

24  43 

23  38 

22  36 

SO 

1 

00 

43  43 

41  36 

39  37 

37  46 

36  01 

34  23 

32  51 

31  24 

30  02 

2845 

27  32 

26  23 

1    00 

10 

47  47 

45  41 

43  42 

41  49 

40  02 

38  20 

36  43 

35  13 

33  46 

32  23 

31  06 

29  51 

10 

ao 

51  10 

49  07 

47  09 

45  18 

43  29 

41  47 

40  09 

3835 

37  06 

35  41 

34  19 

33  01 

20 

30 

54  °o 

52  01 

50  06 

48  16 

46  30 

44  47 

43  09 

41  35 

40  05 

38  37 

37  14 

35  53 

30 

40 

56  22 

54  28 

52  37 

50  50. 

49  05 

47  25 

45  47 

44  13 

42  42 

41  14 

39  50 

38  27 

40 

50 

58  22 

56  32 

54  45 

53  c-i 

51  19 

49  41 

48  05 

46  32 

45  02 

43  33 

42  09 

40  46 

SO 

2 

00 

60  03 

58  18 

56  35 

54  54 

53  16 

51  39 

50  05 

48  34 

47  05 

45  38 

44  13 

42  50 

2     00 

10 

61  29 

59  48 

58  08 

56  31 

54  56 

52  22 

51  50 

50  21 

48  54 

47  28 

46  04 

44  42 

10 

*  ao 

62  41 

61  04 

59  29 

57  55 

56  23 

54  52 

53  22 

51  55 

50  29 

49  05 

47  42 

46  20 

20 

30 

63  42 

62  09 

60  38 

59  07 

57  38 

56  10 

54  43 

53  17 

51  53 

50  30 

49  09 

47  48 

30 

40 

64  35 

63  06 

61  37 

60  09 

58  44 

57  18 

55  53 

54  30 

53  07 

51  46 

50  26 

49  07 

40 

50 

65  19 

63  54 

62  28 

61  02 

59  39 

58  16 

56  54 

55  32 

54  12 

52  53 

51  34 

50  16 

SO 

3 

00 

65  57 

64  33 

63  10 

61  49 

60  28 

59  06 

57  46 

56  27 

5508 

53  51 

52  33 

51  17 

3     00 

10 

66  28 

65  07 

63  47 

62  28 

61  09 

59  50 

58  32: 

57  15 

55  57 

54  41 

53  26 

52  II 

10 

20 

66  54 

6536 

64  18 

63  00 

61  44 

60  27 

59  II 

57  55 

56  40 

55  25 

54  II 

52  59 

20 

30 

67  15 

65  59 

64  43 

63  29 

62  13 

60  58 

59  44 

58  30 

57  17 

56  04 

54  51 

53  40 

30 

40 

67  32 

66  18 

65  04 

63  51 

62  38 

61  25 

60  12 

59  01 

5748 

56  37 

55  25 

54  14 

40  ' 

50 

67  44 

6633 

65  21 

64  09 

6258 

61  47 

6036 

59  26 

58  14 

57  04 

55  54 

54  45 

SO 

4 

00 

67  54 

66  44 

65  33 

64  23 

63  15 

62  05 

60  55 

59  46 

5836 

57  27 

56  18 

55  10 

4     00 

10 

6800 

66  51 

65  43 

64  35 

63  26 

62  18 

61  10 

60  02 

5853 

57  46 

5638 

55  31 

10 

20 

68  03 

6657 

65  49 

64  42 

63  35 

62  28 

61  20 

60  14 

59  07 

58  01 

5654 

5548 

20 

30 

68  04 

6658 

65  52 

64  46 

63  41 

62  34 

61  28 

60  23 

59  17 

58  II 

57  06 

56  01 

30 

40 

68  02 

6657 

65  52 

64  47 

63  42 

62  37 

61  33 

60  28 

59  24 
59  2o 

.58  19 

57  13 

56  09 

40 

50 

67  57 

6653 

65  50 

64  46 

63  42 

62  38 

61  34 

60  30 

58  22 

57  19 

56  15 

SO 

5 

00 

67  50 

6647 

65  44 

64  41 

6338 

62  36 

6133 

60  29 

59  26 

5823 

57  20 

56  17 

5     00 

10 

67  41 

6638 

6536 

64  35 

63  32 

62  30 

61  28 

60  25 

59  23 

58  20 

57  i8 

56  16 

10 

20 

67  29 

66  28 

65  26 

64  25 

63  24 

62  22 

61  20 

60  19 

59  17 

58  15 

57  13 

56  12 

20 

30 

67  15 

66  14 

65  14 

64  12 

63  12 

62  II 

61  10 

60  09 

59  08 

58  06 

57  05 

56  05 

30 

40 

6659 

6558 

64  59 

6358 

62  58 

61  57 

60  57 

59  57 

5856 

57  55 

56  55 

55  55 

40 

50 

66  40 

65  41 

64  40 

63  41 

62  41 

61  41 

60  41 

59  42 

5841 

57  41 

56  41 

55  41 

SO 

6 

00 

66  19 

65  20 

64  20 

63  21 

62  21 

61  22 

60  23 

59  23 

58  24 

57  24 

56  25 

55  25 

6     00 

10 

65  57 

64  57 

6358 

62  59 

62  CX) 

61  OI 

60  01 

59  03 

5803 

57  03 

56  05 

55  06 

10 

20 

65  31 

64  32 

63  34 

62  34 

61  36 

60  37 

5938 

58  39 

57  40 

56  41 

55  42 

54  44 

20 

30 

65  03 

64  05 

6306 

62  07 

61  09 

60  10 

59  12 

58  13 

57  14 

56  15 

55  17 

54  18 

30 

40 

64  34 

63  35 

62  36 

61  37 

60  39 

59  40 

58  42 

57  44 

56  45 

55  47 

54  49 

53  51 

40 

SO 

64  01 

63  02 

62  03 

61  04 

60  06 

59  08 

58  10 

57  12 

56  13 

55  15 

54  17 

53  19 

SO 

7 

00 

63  25 

62  26 

61  28 

60  30 

59  31 

5833 

57  35 

56  37 

55  38 

54  41 

53  43 

52  46 

7     00 

10 

62  47 

6r  48 

60  50' 

59  51 

5852 

•  57  54 

5656 

55  59 

55  01 

54  02 

53  05 

52  07 

10 

20 

62  05 

61  06 

60  08 

59  10 

58  II 

57  13 

56  15 

55  18 

54  19 

53  21 

52  24 

51  27 

20 

30 

61  21 

60  19 

59  23 

58  24 

■57  27 

5628 

55  30 

54  32 

53  34 

52  37 

51  40 

50  42 

30 

40 

60  32 

59  34 

58  34 

57  36 

56  38 

55  39 

54  41 

53  44 

52  46 

51  49 

50  51 

49  55 

40 

50 

59  42 

58  42 

57  42 

56  43 

55  46 

54  47 

53  49 

52  52 

51  54 

50  56 

50  00 

49  04 

50 

8 

00 

5845 

57  46 

5646 

5548 

54  50 

53  51 

52  53 

51  56 

50  57 

50  01 

49  03 
48  04 

48  08 

8     00 

10 

57  47 

56  46 

55  47 

54  48 

53  49 

52  51 

51  53 

50  55 

49  58 

49  00 

47  09 

10 

20 

56  42 

55  42 

54  43 

53  43 

52  45 

51  45 

50  48 

49  51 

48  53 

47  56 

47  01 

46  05 

20 

30 

55  33 

54  33 

53  33 

52  33 

51  35 

50  36 

49  39 

48  41 

47  44 

46  47 

45  51 

44  57 

30 

40 

54  20 

53  19 

52  19 

51  19 

50  20 

49  22 

48  23 

47  27 

46  30 

45  34 

44  38 

43  44 

40 

SO 

52  59 

51  59 

50  59 

49  59 

49  00 

48  02 

47  04 

46  07 

45  II 

44  15 

43  20 

42  26 

SO 

9 

00 

51  34 

50  33 

49  32 

48  32 

47  34 

46  36 

45  39 

44  43 

43  46 

42  51 

41  56 

41  03 

9     00 

10 

50  02 

49  00 

48  00 

47  00 

46  02 

45  04 

44  07 

43  II 

42  15 

41  21 

40  37 

59  35 

10 

20 

48  22 

47  21 

46  21 

45  21 

44  23 

43  26 

42  30 

41  35 

40  40 

39  45 

3853 

38  or 

20 

30 

46  34 

45  34 

44  34 

43  35 

42  38 

42  41 

40  46. 

39  51 

38  57 

38  04 

37  12 

36  21 

30 

40 

44  39 

43  39 

42  39 

41  41 

40  45 

39  48 

3854 

38  00 

3708 

36  16 

35  25 

34  36 

40 

SO 

42  34 

41  35 

40  36 

39  39 

38  43 

37  49 

36  55 

36  03 

35  II 

34  22 

33  32 

32  44 

SO 

10 

00 

40  21 

39  22 

38  24 

37  29 

36  35 

35  41 

34  49 

33  59 

33  09 

32  20 

31  33 

30  46 

10     00 

10 

37  56 

36  59 

36  03 

35  09 

34  16 

33  25 

32  35 

31  46 

30  58 

30  12 

29  26 

28  42 

10 

20 

35  21 

34  26 

33  32 

32  40 

31  50 

31  01 

30  12 

29  26 

28  40 

27  57 

27  13 

26  32 

20 

30 

32  35 

3i  42 

30  51 

30  01 

29  14 

28  27 

27  42 

2658 

26  15 

25  34 

24  54 

24  15 

30 

40 

29  37 

28  48 

27  59 

27  12 

26  29 

25  45 

25  03 

24  22 

23  43 

23  04 

22  27 

21  51 

40 

SO 

26  29 

25  43 

24  57 

24  15 

23  35 

22  54 

22  16 

21  39 

21  04 

20  29 

19  55 

19  23 

50 

11 

00 

23  07 

22  26 

21  46 

21  07 

20  31 

19  56 

19  22 

18  49 

18  18 

17  46 

17  17 

16  48 

11     00 

10 

19  36 

19  00 

18  26 

1752 

17  21 

16  50 

16  20 

15  53 

15  25 

14  58 

14  33 

14  09 

10 

20 

15  55 

15  25 

14  56 

14  28 

14  02 

13  37 

13  13 

12  49 

12  27 

12  06 

II  45 

n  25 

20 

30 

12  04 

11  41 

II  19 

10  58 

10  38 

10  19 

9  59 

9  42 

9  25 

9  oS 

85? 

837 

30 

40 

8  07 

7  5r 

736 

7  22 

708 

^55 

6  42 

6  29 

6  18 

6  08 

556 

5  46 

40 

SO 

4  04 

3  57 

3  49 

3  41 

3  35 

328 

3  22 

3  15 

3  10 

3  04 

2  59 

2  53 

SO 

la 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  ilecUnatlon  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  1»eariug. 


46 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  10°. 

DECLINATION— SAMF;  NAME  AS— LATITUDE 

LATITCJDE  10°. 

Hour  An 

gle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

■  Hour  Angle. 

b. 

m. 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

li.     in. 

0 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

10 

4  36 

4  23 

4  12 

4  00 

3  49 

3  39 

3  30 

3  21 

3  12 

3  05 

2  57 

2  50 

10 

20 

9  08 

8  42 

8  19 

756 

736 

7  16 

658 

6  40 

6  24 

6  07 

5  53 

538 

20 

30 

13  31 

12  54 

12  20 

II  48 

II  17 

10  48 

10  21 

9  55 

9  31 

9  07 

•845 

8  24 

30 

40 

17  41 

16  55 

16  II 

15  29 

14  50 

14  14 

13  39 

'5  °§ 

12  33 

12  02 

II  34 

II  06 

40 

50 

21  37 

20  43 

19  50 

19  01 

18  14 

17  30 

16  47 

16  08 

15  29 

14  52 

14  16 

13  43 

50 

1 

00 

25  17 

24  16 

23  16 

22  20 

21  27 

20  36 

19  48 

19  02 

18  17 

17  34 

16  54 

16  15 

1    00 

10 

28  40 

27  32 

26  28 

25  26 

24  28 

23  32 

22  38 

21  46 

20  57 

20  09 

19  23 

1839 

10 

20 

31  45 

30  34 

29  25 

28  20 

27  16 

26  16 

25  18 

24  22 

23  28 

22  36 

21  46 

20  58 

20 

30 

34  34 

33  20 

32  09 

31  00 

29  54 

28  49 

27  47 

26  48 

25  50 

24  54 

24  01 

23  08 

30 

40 

3708 

35  51 

34  37 

33  26 

32  18 

31  II 

30  06 

29  03 

28  03 

27  03 

26  06 

25  II 

40 

50 

39  26 

38  08 

36  53 

35  40 

34  28 

33  20 

32  13 

31  08 

•  30  06 

29  04 

28  04 

27  06 

SO 

ft 

00 

41-30 

40  12 

3855 

37  41 

36  30 

35  19 

34  II 

33  04 

31  59 

30  55 

29  54 

28  54 

2     00 

10 

43  21 

42  03 

40  46 

39  32 

38  19 

37  08 

35  59 

34  51 

33  44 

32  39 

31  36 

30  34 

10 

20 

45  01 

43  43 

42  26 

41  12 

39  59 

3847 

37  37 

36  28 

35  20 

34  14 

33  10 

32  07 

20 

30 

46  30 

45  12 

43  56 

42  42 

41  29 

40  17 

39  07 

37  57 

36  49 

35  42 

34  36 

33  32 

30 

40 

47  49 

46  33 

45  17 

44  03 

42  50 

41  38 

40  27 

39  18 

38  10 

37  02 

35  56 

34  51 

40 

50 

48  59 

47  43 

46  29 

45  16 

44  03 

42  52 

41  42 

40  32 

39  24 

38  15 

3708 

36  03 

50 

3 

00 

50  01 

48  46 

47  33 

46  20 

45  09 

43  57 

42  47 

41  38 

40  30 

39  22 

■38  15 

37  09 

3    00 

10 

50  57 

49  43 

48  30 

47  19 

46  07 

44  57 

43  47 

42  38 

41  29 

40  21 

39  15 

38  09 

10 

20 

51  44 

50  32 

49  20 

48  09 

46  59 

45  49 

44  40 

43  31 

42  23 

41  16 

40  09 

39  03 

20 

30 

52  27 

51  16 

50  05 

48  54 

47  45 

46  35 

45  27 

44  18 

43  II 

42  04 

40  57 

39  51 

30 

40 

53  03 

51  53 

50  43 

49  34 

4825 

47  17 

46  09 

45  01 

43  54 

42  47 

41  40 

40  34 

40 

50 

53  34 

52  25 

51  17 

50  08 

49  00 

47  53 

46  45 

4538 

44  31 

43  24 

42  19 

41  13 

SO 

4 

00 

54  01 

52  53 

51  45 

5038 

49  31 

48  23 

47  16 

46  10 

45  04 

43  58 

42  52 

41  46 

4     00 

10 

54  23 

53  16 

52  09 

51  02 

49  56 

48  50 

«47  44 

4638 

45  32 

44  27 

43  21 

42  16 

10 

20 

54  41 

53  35 

52  29 

51  22 

50  17 

49  II 

48  06 

47  00 

45  55 

44  50 

43  46 

42  41 

20 

30 

54  55 

53  50 

52  44 

51  39 

50  34 

49  29 

48  24 

47  20 

46  15 

45  10 

44  06 

43  02 

30 

40 

55  04 

54  00 

52  56 

51  51 

50  47 

49  43 

48  39 

47  34 

46  30 

45  26 

44  22 

43  19 

40 

50 

55  II 

54  07 

53  03 

52  00 

50  56 

49  53 

48  49 

47  46 

46  42 

4538 

44  35 

43  32 

50 

6 

00 

55  14 

54  II 

53  07 

52  04 

51  01 

49  59 

48  56 

47  53 

46  50 

45  47 

44  44 

43  41 

5    00 

10 

55  13 

54  II 

53  08 

52  07 

51  04 

50  01 

48  59 

47  57 

46  55 

45  52 

44  49 

43  48 

10 

20 

55  10 

5408 

53  06 

52  05 

51  02 

50  01 

49  00 

47  57 

46  56 

45  53 

44  51 

43  50 

20 

30 

55  03 

54  02 

53  01 

52  00 

5058 

49  57 

48  56 

47  55 

46  53 

45  52 

44  51 

43  48 

30 

40 

54  53 

53  52 

52  52 

51  51 

50  51 

49  50 

48  49 

4748 

46  47 

*45  46 

44  46 

43  45 

40 

50 

54  41 

53  40 

52  40 

51  40 

50  40 

49  40 

48  39 

47  39 

46  39 

■  4538 

44  38 

43  37 

SO 

e 

00 

54  25 

53  25 

52  26 

51  26 

50  26 

49  26 

48  26 

47  27 

46  27 

45  26 

44  27 

43  25 

6     00 

10 

54  06 

53  06 

52  07 

51  09 
50  48 

50  09 

49  10 

48  10 

47  10 

46  II 

45  " 

44  12 

43  12 

10 

20 

53  45 

52  46 

51  46 

49  49 

48  50 

47  51 

46  52 

45  53 

44  53 

43  55 

42  55 

20 

30 

53  20 

52  21 

51  22 

50  24 

49  25 

48  27 

47  29 

46  30 

45  32 

44  32 

43  34 

42  35 

30 

40 

52  52 

51  54 

50  55 

49  57 

49  00 

48  01 

47  03 

46  04 

45  06 

44  08 

43  10 

42  12 

40 
SO 

50 

52  21 

51  23 

50  25 

49  28 

4829 

47  32 

46  34 

45  37 

44  39 

43  41 

42  42 

41  45 

7 

00 

51  47 

50  50 

49  52 

48  55 

47  57 

46  59 

46  03 

45  05 

44  08 

43  10 

42  13 

41  16 

7     00 

10 

51  09 

50  13 

49  15 

48  18 

47  21 

46  24 

45  27. 

44  29 

43  33 

42  36 

41  39 

40  42 

10 

20 

50  29 

.49  32 

48  36 

47  38 

46  42 

45  45 

44  48 

43  51 

42  56 

41  59 

41  03 

40  07 

20 
30 

30 

49  45 

48  49 

47  52 

46  55 

45  59 

45  03 

44  06 

43  II 

42  15 

41  18 

40  23 

39  27 

40 

4858 

48  01 

47  04 

46  08 

45  12 

44  18 

43  21 

42  25 

41  31 

40  35 

39  40 

38  45 

40 

50 

48  06 

47  10 

46  14 

45  18 

44  23 

43  29 

42  33 

•  41  37 

40  42 

39  47 

38  53 

37  58 

SO 

8 

00 

47  II 

46  15 

45  19 

44  23 

43  29 

42  34 

41  40 

40  45 

39  51 

38  57 

38  03 

37  09 

8     00 

10 

46  12 

45  16 

44  21 

43  26 

42  32 

41  37 

40  43 

39  49 

3856 

38  02 

37  09 

36  17 

10 

20 

45  08 

44  13 

43  19 

42  24 

41  30 

40  36 

39  43 

38  49 

37  57 

37  04 

36  09 

35  16 

20 
30 
40 

30 

44  01 

43  06 

42  12 

41  17 

40  24 

39  32 

3838 

37  46 

36  55 

36  03 

35  10 

34  20 

40 

42  48 

41  54 

41  00 

40  07 

39  15 

38  22 

37  30 

36  39 

35  47 

34  56 

34  06 

33  17 

50 

41  31 

40  38 

39  44 

3852 

38  00 

37  09 

36  18 

35  27 

34  37 

33  47 

3258 

32  08 

SO 

9 

00 

40  08 

39  16 

38  23 

37  32 

36  41 

35  51 

35  01 

34  11 

33  22 

32  32 

31  45 

3058 

9     00 
10 
20 
30 
40 
SO 

10 

3841 

37  50 

3658 

36  08 

35  18 

34  28 

33  39 

32  51 

32  03 

31  15 

30  29 

2942 

20 

37  09 

36  18 

35  28 

3438 

33  50 

33  01 

32  14 

31  27 

30  40 

^§54 

29  08 

28  24 

30 

35  30 

34  41 

33  52 

33  04 

32  16 

31  30 

30  43 

2958 

29  13 

28  28 

?Z4i 

27  01 

40 

33  46 

3258 

32  II 

31  24 

3038 

29  53 

29  08 

28  24 

27  42 

26  58 

26  16 

25  34 

50 

31  57 

31  09 

30  24 

29  39 

28  54 

28  II 

27  29 

26  47 

26  05 

25  24 

24  44 

24  05 

10 

00 

30  00 

29  16 

28  31 

27  49 

27  06 

26  25 

25  44 

25  04 

24  26 

23  47 

23  08 

22  31 

10   00 

10 
20 
30 

10 

27  58 

27  15 

26  34 

25  53 

25  13 

24  33 

23  56 

23  18 

22  41 

22  04 

21  28 

20  53 

20 

25  50 

25  10 

24  31 

23  53 

23  15 

22  39 

22  03 

21  27 

20  52 

20  18 

19  45 

19  12 

30 

23  36 

22  59 

22  22 

21  47 

21  12 

20  38 

20  05 

19  32 

19  00 

1829 

17  58 

17  27 

40 

21  16 

20  42 

20  09 

19  35 

19  04 

1833 

18  02 

17  33 

17  04 

16  36 

16  07 

15  40 

40 
SO 

50 

18  51 

18  19 

17  50 

17  21 

16  52 

16  25 

15  57 

15  30 

15  05 

14  39 

14  14 

13  50 

11 

00 

16  19 

*I5  53 

15  26 

15  01 

14  36 

14  II 

13  47 

13  24 

13  02 

12  40 

12  18 

II  57 

11        00 
10 

10 

13  44 

13  21 

12  59 

12  37 

12  16 

II  55 

II  35 

II  16 

10  57 

10  38 

10  19 

10  01 

20 

II  04 

10  45 

10  27 

10  10 

9  53 

9  36 

9  20 

9  04 

8  48 

833 

8  18 

8  03 

20 
30 
40 
50 
12     00 

30 

8  22 

8  07 

7  53 

7  40 

7  26 

7  14 

7  02 

6  50 

6  38 

6  26 

6  15 

6  04 

40 

536 

■  5  27 

5  17 

508 

4  59 

4  51 

4  42 

4  34 

4  26 

4  18 

4  10 

4  04 

50 

2  49 

2  44 

2  39 

2  34 

2  30 

2  26 

2  21 

2  17 

2  13 

2  10 

2  06 

2  02 

12 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle,  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  beariug. 


47 


AZIMUTH  OR  TRUE  BEARING. 


latitude:  10°. 

DECLINATION— 

SAME 

NAME  AS— LATITUDE. 

1 
I^ATITUDE  10°.  1 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

63° 

54° 

55° 

56° 

57° 

58° 

59° 

■  1 
Hour  Angle. 

h. 

ni. 

O  t 

0  ' 

0  r 

0  / 

0  t 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  > 

h.    ni. 

O 

OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

2  43 

236 

2  30 

2  23 

2  18 

2  12 

2  07 

2  01 

I  57 

I  52 

1  47 

I  42 

10 

20 

5  24 

5  12 

4  59 

4  47 

4  35 

4  24 

4  13 

4  03 

3  52 

3  43 

3  33 

3  25 

20 

»o 

8  04 

7  44 

7  25 

708 

651 

6  34 

6  17 

6  02 

5  47 

5  32 

5  19 

5  05 

SO 

40 

10  40 

10  14 

9  49 

9  26 

9  03 

8  41 

8  20 

8  00 

7  40 

7  21 

7  03 

6  45 

40  , 

SO 

13  11 

12  40 

12  10 

II  41 

II  14 

10  47 

10  20 

9  55 

9  32 

9  08 

8  45 

823 

50 

1 

OO 

15  37 

15  01 

14  26 

13  52 

13  20 

12  48 

12  18 

II  48 

II  20 

10  51 

10  25 

9  59 

1     00 

lO 

17  57 

17  16 

16  36 

1558 

15  22 

14  46 

14  II 

13  37 

13  05 

12  33 

12  02 

II  33 

10 

20 

20  n 

19  25 

18  41 

18  00 

17  19 

16  39 

16  00 

15  23 

1447 

14  II 

13  36 

13  03 

20 

30 

22  18 

21  29 

20  41 

19  56 

19  II 

18  28 

17  45 

17  04 

16  24 

15  45 

15  07 

14  30 

30 

40 

24  18 

23  26 

22  35 

21  46 

20  58 

20  II 

19  26 

18  41 

17  59 

17  16 

16  35 

15  56 

40 

50 

26  10 

25  15 

24  21 

23  30 

22  39 

21  50 

■  21  01 

20  14 

19  28 

1843 

17  59 

17  16 

50 

2 

OO 

27  56 

26  58 

26  02 

25  08 

24  16 

23  23 

22  32 

21  43 

20  53 

20  06 

19  20 

18  34 

2     00 

lO 

29  34 

28  35 

27  37 

26  40 

25  45 

24  y> 

2358 

23  06 

22  15 

21  25 

20  36 

1948 

10 

20 

31  05 

30  04 

29  05 

28  06 

27  09 

26  13 

25  18 

24  25 

23  31 

22  39 

21  49 

20  58 

20 

30 

32  30 

31  28 

30  26 

29  27 

28  29 

27  30 

26  33 

25  38 

24  44 

23  49 

22  57 

22  04 

30 

40 

33  48 

32  44 

31  42 

30  42 

29  42 

28  42 

27  44 

26  47 

25  51 

24  56 

24  00 

23  07 

40 

50 

3458 

33  55 

32  52 

31  50 

30  50 

29  49 

28  49 

27  51 

26  54 

25  57 

25  01 

24  06 

50 

3 

OO 

36  04 

34  59 

33  55 

32  53 

31  52 

30  50 

29  50 

28  50 

27  52 

26  54 

25  56 

25  01 

8     00 

lO 

37  03 

35  58 

34  54 

33  51 

32  49 

31  47 

•30  46 

29  46 

28  46 

27  47 

26  48 

==§  51 

10 

20 

37  57 

36  53 

35  48 

34  45 

33  43 

32  40 

31  38 

30  37 

29  36 

28  36 

27  37 

2638 

20 

30 

38  46 

37  41 

36  37 

35  33 

34  30 

33  27 

32  25 

31  23 

30  22 

29  21 

28  21 

27  21 

30 

40 

39  29 

38  24 

37  20 

36  16 

35  13 

34  09 

33  07 

32  04 

31  03 

30  02 

29  01 

28  01 

40 

50 

40  08 

39  03 

37  59 

36  55 

35  52 

3448 

33  45 

32  42 

31  41 

30  39 

2938 

28  38 

50 

4 

OO 

40  42 

39  37 

38  32 

37  29 

3625 

35  22 

34  19 

33  16 

32  14 

31  12 

30  II 

29  09 

4     00 

lO 

41  12 

40  07 

39  02 

37  59 

3656 

35  52 

34  49 

33  47 

32  44 

31  42 

30  40 

2938 

10 

20 

41  37 

40  33 

39  28 

38  25 

37  22 

36  19 

35  16 

-34  12 

33  10 

32  07 

31  06 

30  04 

20 

30 

41  58 

40  54 

39  51 

38  47 

37  44 

36  41 

35  38 

34  35 

33  33 

32  31 

31  28 

30  26 

30 

40 

42  15 

41  12 

40  08 

39  05 

38  03 

36  59 

35  57 

34  54 

33  51 

32  49 

^i  47 

30  45 

40 

50 

42  29 

41  26 

40  22 

39  20 

38  18 

37  14 

36  12 

35  10 

34  07 

33  04 

32  03 

31  00 

60 

5 

OO 

42  38 

41  36 

40  33 

39  30 

3829 

37  26 

36  23 

35  21 

34  19 

33  17 

32  14 

31  13 

5     00 

lO 

42  45 

41  42 

40  41 

3938 

3836 

37  34 

36  32 

35  30 

34  28 

33  26 

32  24 

31  22 

10 

20 

42  48 

41  46 

40  43 

39  42 

38  41 

3738 

36  37 

35  35 

34  33 

33  31 

32  30 

31  29 

20 

30 

42  47 

41  46 

40  44 

39  43 

38  42 

37  40 

36  39 

3538 

34  36 

33  35 

32  33 

31  31 

30 

40 

42  44 

41  42 

40  41 

39  41 

38  40 

3738 

3638 

35  36 

34  35 

33  34 

32  32 

31  32 

40 

50 

42  37 

41  36 

40  36 

39  35 

38  34 

37  34 

36  32 

35  32 

34  32 

■33  30 

32  30 

31  29 

50 

6 

0^ 

42  26 

41  26 

40  26 

39  26 

38  26 

37  25 

36  25 

35  25 

34  24 

33  25 

32  24 

31  23 

«     00 

lO 

42  13 

41  13 

40  13 

39  13 

38  14 

37  14 

36  15 

35  14 

34  15 

33  14 

32  15 

31  15 

10 

20 

41  57 

40  57 

39  58 

3858 

38  00 

37  00 

36  01 

35  01 

34  02 

33  02 

32  02 

31  04 

20 

30 

41  36 

40  38 

39  39 

38  40 

37  42 

36  43 

35  44 

34  45 

33  46 

32  47 

31  48 

30  49 

30 

40 

41  13 

40  16 

39  17 
3853 

38  19 

37  21 

36  23 

35  25 

34  26 

33  28 

32  29 
32  08 

31  31 

30  33 

40 

50 

40  48 

39  50 

37  55 

36  57 

35  59 

35  02 

34  03 

33  06 

31  II 

30  13 

60 

7 

OO 

40  19 

39  21 

38  24 

37  27 

36  31 

35  33 

34  36 

33  39 

32  42 

31  44 

30  47 

29  50 

7     00 

10 

39  46 

3850 

37  53 

3656 

36  01 

35  03 

34  07 

33  II 

32  14 

31  18 

30  21 

29  25 

10 

20 

39  " 

38  14 

37  18 

36  23 

35  27 

34  31 

33  36 

32  40 

31  44 

30  48 

29  53 

2858 

20 

30 

3832 

37  37 

36  41 

35  46 

34  52 

33  56 

33  01 

32  06 

31  10 

30  16 

29  21 

28  27 

30 

40 

37  49 

36  55 

36  01 

35  06 

34  12 

33  17 

32  23 

31  30 

30  35 

29  41 

28  47 

27  54 

40 

50 

37  04 

36  II 

35  16 

34  23 

33  30 

32  36 

31  43 

30  49 

29  57 

29  03 

28  ID 

27  17 

50 

8 

OO 

36  15 

35  22 

34  29 

33  37 

32  44 

31  51 

30  59 

30  06 

29  15 

28  22 

2730 

26  39 
2558 

8     00 

lO 

35  22 

34  31 

33  39 

32  47 

31  56 

31  04 

30  13 

29  21 

28  30 

27  39 

26  48 

10 

20 

34  28 

33  37 

32  45 

31  54 

31  04 

30  13 

29  23 

28  33 

27  43 

26  53 

26  03 

25  14 

20 

30 

33  29 

3238 

31  49 

3058 

30  09 

29  19 

28  31 

27  41 

26  53 

26  04 

25  15 

24  27 

30 

40 

32  26 

31  37 

30  48 

29  59 

29  II 

28  22 

27  35 

26  47 

26  00 

25  12 

24  25 

2338 

40 

50 

31  20 

30  32 

29  43 

28  57 

28  10 

27  22 

2636 

25  49 

25  03 

24  17 

23  31 

22  47 

50 

9 

OO 

30  10 

29  23 

2837 

27  51 

27  05 

26  19 

25  34 

24  48 

24  05 

23  20 

22  36 

21  52 

8     00 

lO 

28  57 

28  II 

27  25 

26  41 

25  57 

25  13 

24  29 

23  46 

23  03 

22  20 

21  37 

20  56 

10 

20 

27  39 

2655 

26  12 

25  28 

24  46 

24  04 

23  22 

22  40 

21  58 

21  18 

20  37 

1956 

20 

30 

26  18 

25  36 

24  54 

24  13 

23  32 

22  51 

22  II 

21  31 

20  52 

20  12 

19  33 

18  54 

30 

40 

24  53 

24  13 

23  33 

22  54 

22  15 

21  36 

20  57 

20  20 

19  42 

19  05 

18  27 

17  51 

40 

50 

23  25 

22  46 

22  09 

21  32 

2054 

20  18 

19  41 

19  05 

18  30 

17  54 

17  20 

16  45 

&0 

lO 

OO 

21  54 

21  18 

20  42 

20  06 

19  31 

1857 

18  22 

17  48 

17  15 

16  42 

16  09 

15  37 

10     00 

lO 

20  19 

19  44 

19  II 

1837 

18  05 

17  32 

17  01 

16  29 

1558 

15  27 

14  56 

14  27 

10 

20 

18  40 

18  08 

17  37 

17  06 

1636 

16  06 

15  36 

15  07 

1538 

14  10 

13  41 

13  14 

20 

30 

1658 

16  29 

16  00 

15  33 

15  05 

14  37 

14  II 

13  44 

13  17 

12  51 

12  26 

12  00 

30 

40 

15  14 

14  47 

14  21 

13  55 

13  31 

13  06 

12  42 

12  18 

12  54 

II  31 

II  07 

10  45 

40 

50 

13  26 

13  02 

12  39 

12  16 

II  55 

11  33 

11  12 

10  49 

10  29 

10  09 

948 

9  27 

•        60 

11 

OO 

II  36 

II  16 

10  55 

10  35 

ID  16 

958 

938 

9  20 

9  02 

8  44 

8  26 

8  ID 

11     00 

lO 

9  43 

9  26 

9  09 

853 

837 

8  20 

8  05 

7  49 

7  34 

7  19 

7  04 

6  50 

10 

20 

7  49 

736 

7  21 

7  08 

655 

6  42 

6  29 

6  17 

6  05 

5  52 

5  40 

5  29 

20 

30 

5  53 

5  43 

5  32 

5  22 

5  13 

5  02 

4  53 

4  44 

4  34 

4  25 

4  17 

4  08 

30 

40 

356 

3  49 

3  43 

3  35 

3  29 

3  22 

3  16 

3  10 

3  04 

2  57 

2  51 

2  45 

40 

50 

I  58 

I  55 

I  51 

I  48 

I  45 

I  42 

138 

I  35 

I  32 

I  29 

I  25 

I  22 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bsaring. 


48 


AZIMUTH    OR   TRUE    BEARING. 


L.AT1TIJDC:  10°. 

DECLINATION— SAME  NAME  AS— 

LATITUDE. 

liATITUBE  10°. 

Hour  An 

gle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b. 

m. 

o  / 

0  > 

0  / 

0  r 

0  / 

0  1 

0  / 

0  / 

0  / 

0  / 

b.    m. 

0 

00 

o  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

138 

I  34 

I  29 

I  25 

I  21 

I  18 

I  14 

I  10 

I  06 

I  03 

0  59 

10 

20 

3  15 

306 

2  58 

2  50 

2  43 

2  34 

2  26 

2  20 

2  12 

2  05 

r  59 

20 

30 

4  51 

4  39 

4  27 

4  14 

4  03 

3  51 

3  40 

3  29 

3  18 

3  07 

2  57 

30 

40 

6  28 

6  II 

5  54 

538 

5  22 

5  07 

4  52 

4  37 

4  23 

4  08 

3  55 

40 

50 

8  01 

7  40 

7  20 

7  00 

6  40 

6  21 

6  03 

5  45 

5  27 

5  09 

4  53 

50 

1 

OO 

9  33 

9  OQ 

844 

8  21 

7  57 

7  35 

7  13 

651 

6  30 

6  09 

5  49 

1     00 

lO 

11  03 

10  35 

10  07 

9  40 

9  13 

8  47 

8  21 

7  57 

7  33 

7  09 

6  45 

10 

20 

12  30 

11  58 

II  27 

10  56 

10  26 

9  57 

9  28 

9  01 

8  33 

8  06 

7  40 

20 

30 

13  54 

13  19 

12  45 

12  II 

II  38 

II  06 

10  34 

10  03 

9  32 

9  03 

833 

30 

40 

15  17 

14  38 

14  00 

13  24 

12  47 

12  12 

II  38 

II  04 

10  30 

9  58 

9  25 

40 

50 

16  35 

15  53 

15  13 

14  33 

13  54 

13  16 

12  39 

12  02 

II  26 

10  51 

10  15 

50 

2 

OO 

17  50 

17  05 

16  25 

15  40 

14  58 

14  18 

1338 

12  58 

12  20 

II  42 

II  04 

2     00 

10 

19  01 

18  15 

17  30 

16  44 

16  01 

15  17 

14  35 

13  53 

13  12 

12  31 

II  51 

10 

20 

20  09 

19  20 

18  33 

17  46 

17  00 

16  14 

15  29 

14  45 

14  01 

13  19 

12  37 

20 

30 

21  14 

20  23 

19  33 

18  44 

17  56 

17  08 

16  21 

15  i5 

14  49 

14  05 

33  20 

30 

40 

22  14 

21  22 

20  31 

19  40 

18  49 

18  00 

17  II 

16  23 

'5  35 

14  48 

14  02 

40 

50 

23  12 

22  17 

21  24 

20  32 

19  40 

18  49 

17  58 

17  07 

16  18 

15  29 

14  41 

50 

3 

OO 

24  05 

23  09 

22  15 

21  21 

20  27 

19  34 

18  42 

17  50 

16  59 

16  09 

15  19 

3     00 

lO 

24  54 

2358 

23  02 

22  07 

21  12 

20  18 

19  24 

18  30 

17  38 

16  45 

15  54 

10 

20 

25  41 

24  43 

23  46 

22  49 

21  53 

20  57 

20  02 

19  07 

18  14 

17  21 

'5  ^Z 

20 

30 

26  23 

25  24 

24  27 

23  29 

22  32 

21  35 

20  38 

19  43 

18  48 

17  53 

16  58 

30 

40 

27  02 

26  02 

25  03 

24  05 

23  07 

22  09 

21  12 

20  15 

19  19 

18  23 

17  27 

40 

50 

27  37 

26  36 

2538 

24  38 

23  39 

22  41 

21  43 

20  45 

19  47 

18  50 

17  53 

SO  ' 

4 

OO 

28  09 

27  08 

26  08 

25  08 

24  09 

23  09 

22  ID 

21  12 

20  13 

19  15 

18  17 

4     00 

lO 

28  37 

27  36 

26  36 

25  35 

■24  35 

23  35 

22  36 

21  36 

20  37 

19  39 

18  40 

10 

20 

29  03 

28  01 

27  00 

25  59 

2458 

23  58 

22  58 

21  58 

20  58 

19  59 

18  59 

20 

30 

29  25 

28  23 

27  22 

26  20 

25  20 

24  19 

23  18 

22  18 

21  17 

20  17 

19  17 

30 

40 

29  43 

28  41 

27  40 

26  39 

25  37 

24  36 

23  35 

22  34 

21  M- 

20  33 

19  32 

40 

50 

29  59 

28  57 

27  55 

26  53 

25  52 

24  51 

23  50 

22  49 

21  47 

20  47 

19  46 

50 

5 

OO 

30  II 

29  09 

28  08 

27  06 

26  04 

25  03 

24  01 

23  00 

21  59 

20  58 

19  57 

5     00 

lO 

30  20 

29  18 

28  17 

27  15 

26  13 

25  12 

24  II 

23  09 

22  08 

21  08 

20  06 

10 

20 

30  27 

29  25 

28  24 

27  22 

26  21 

25  19 

24  17 

23  16 

22  15 

21  14 

20  12 

20 

30 

30  30 

29  29 

28  28 

27  26 

26  25 

25  24 

24  21 

23  20 

22  19 

21  18 

20  16 

30 

40 

30  30 

29  30 

28  28 

27  27 

26  26 

25  25 

24  23 

23  22 

22  21 

21  20 

20  18 

40 

50 

30  29 

29  27 

28  26 

27  25 

26  25 

25  24 

24  23 

23  22 

22  21 

21  21 

20  19 

60 

6 

OO 

30  23 

29  23 

28  22 

27  21 

26  21 

25  20 

24  20 

23  19 

22  18 

21  18 

20  17 

•   6     00 

lO 

30  J5 

29  15 

28  15 

27  15 

26  15 

25  15 

24  14 

23  13 

22  13 

21  13 

20  12 

10 

20 

30  04 

29  05 

28  06 

27  05 

26  06 

25  06 

24  06 

23  06 

22  06 

21  07 

20  07 

20 

30 

29  50 

28  51 

27  53 

26  54 

25  54 

24  55 

23  56 

22  57 

21  57 

20  58 

19  58 

30 

40 

29  35 

28  35 

27  37 

26  39 

25  40 

24  41 

23  43 

22  44 

21  45 

20  47 

19  47 

40 

50 

29  16 

28  -7 

27  20 

26  21 

25  23 

24  26 

23  28 

22  29 

21  31 

20  33 

19  35 

60 

7 

OO 

2853 

27  56 

27  00 

26  02 

25  05 

24  08 

23  10 

22  13 

21  16 

20  19 

19  21 

7     00 

lO 

28  29 

27  32 

26  36 

25  39 

24  43 

23  47 

22  50 

21  54 

20  57 

20  02 

19  05 

10 

20 

28  03 

27  06 

26  12 

25  15 

24  20 

23  25 

22  28 

21  33 

20  37 

19  41 

18  46 

20 

30 

27  32 

26  37 

25  43 

24  48 

23  53 

22  59 

22  04 

21  10 

20  15 

19  20 

18  26 

30 

40 

26  59 

26  06 

25  12 

24  19 

23  26 

22  31 

21  38 

20  44 

19  50 

IS  58 

18  03 

40 

50 

26  25 

25  31 

24  40 

23  47 

22  54 

22  02 

21  09 

20  16 

19  25 

18  32 

17  40 

50 

8 

OO 

25  47 

24  55 

24  04 

23  13 

■  22  21 

21  30 

20  38 

19  47 

18  56 

18  05 

17  13 

8     00 

10 

25  07 

24  16 

23  27 

22  36 

21  46 

20  55 

20  06 

19  16 

18  25 

17  36 

16  46 

10 

20 

24  24 

23  35 

22  47 

21  57 

21  08 

20  20 

19  31 

18  42 

17  53 

17  05 

16  17 

20 

30 

23  40 

22  51 

22  03 

21  17 

20  28 

19  41 

18  54 

18  07 

17  19 

16  33 

15  45 

30 

40 

22  51 

22  05 

21  19 

20  32 

19  46 

19  01 

18  14 

17  30 

16  44 

15  59 

15  12 

40 

50 

22  02 

21  16 

20  31 

19  47 

19  02 

18  18 

17  34 

16  50 

16  06 

15  22 

14  39 

50 

8 

OO 

21  08 

20  25 

19  42 

18  59 

18  16 

17  34 

16  51 

16  08 

15  27 

14  45 

14  02 

9     00 

lO 

20  13 

19  32 

18  50 

iS  09 

17  28 

16  47 

16  06 

15  26 

14  45 

14  05 

13  25 

10 

20 

19  16 

1836 

17  57 

17  17 

16  38 

15  58 

15  20 

14  41 

14  02 

13  24 

12  45 

20 

30 

18  17 

17  38 

17  01 

16  23 

15  46 

15  08 

14  32 

13  55 

13  18 

12  42 

12  04 

30 

40 

17  15 

1638 

16  03 

15  27 

14  51 

14  16 

13  42 

13  07 

12  32 

11  57 

II  23 

40 

50 

16  II 

15  36 

15  03 

14  30 

13  56 

13  23 

12  50 

12  17 

II  45 

II  13 

10  40 

50 

lO 

OO 

15  05 

14  33 

14  01 

13  30 

12  58 

12  28 

II  57 

II  26 

10  46 

10  26 

9  56 

10     00 

lO 

13  56 

13  27 

12  58 

12  29 

12  00 

II  31 

II  02 

10  34 

10  06 

9  39 

9  II 

10 

20 

12  47 

12  20 

II  53 

II  26 

10  59 

10  33 

10  06 

9  41 

9  14 

8  50 

8  24 

20 

30 

II  35 

II  II 

10  46 

10  22 

9  58 

9  34 

9  09 

846 

8  23 

8  00 

7  36 

30 

40 

10  22 

9  59 

938 

9  16 

8  55 

8  33 

8  II 

7  51 

7  29 

7  09 

6  48 

40 

50 

9  08 

8  48 

8  29 

8  09 

7  51 

7  31 

7  13 

6  54 

6  35 

6  17 

5  59 

50 

11 

OO 

7  52 

7  35 

7  18 

7  01 

6  45 

6  29 

6  12 

5  57 

5  40 

5  25 

508 

11     00 

lO 

635 

6  21 

6  07 

5  52 

5  39 

5  25 

5  12 

458 

4  44 

4  31 

4  19 

10 

20 

5  17 

506 

4  54 

.  4  43 

4  32 

4  21 

4  10 

4  00 

3  49 

338 

327 

20 

30 

3  59 

3  50 

3  41 

3  33 

3  25 

3  16 

3  08 

3  00 

2  52 

243 

236 

30 

40 

2  40 

2  34 

2  28 

2  23 

2  17 

2  II 

2  06 

2  00 

I  54 

I  49 

I  44 

40 

50 

I  19 

I  17 

I  14 

I  II 

I  08 

I  05 

I  03 

I  00 

0  57 

0  54 

0  52 

50 

12 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

111  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  ire  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  .South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


49 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  11°. 


DECLINATION— SAME  NAME  AS— LATITUDE. 


LATITUDE  11°. 


Hour  Angle. 


O 


lO 


11 


12 


III. 

oo 

lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 


24° 


30 
40 
50 

00 
lO 
30 
SO 
40 
50 

OO 
lO 
20 
30 
40 
SO 
OO 


O  OO 
10  02 

19  27 
27  46 

34  53 
40  48 

45  40 
49  42 
53  00 
55  43 
5S  00 
"59  53 


00 

61  28 

10 

62  48 

!*0 

63  55 

30 

64  52 

40 

6S39 

50 

66  18 

00 

6651 

10 

67  19 

»o 

67  41 

30 

67  59 

40 

68  12 

50 

68  21 

00 

68  29 

iO 

68  32 

seo 

6832 

30 

68  30 

40 

68  25 

50 

68  17 

00 

68  08 

10 

6756 

«io 

67  42 

30 

67  25 

40 

67  07 

50 

6647 

00 

66  24 

10 

6558 

20 

65  31 

30 

65  01 

40 

64  29 

50 

63  53 

00 

63  17 

10 

62  36 

»o 

61  53 

30 

61  06 

40 

60  15 

50 

59  23 

00 

58  2^ 

10 

57  23 

ao 

56  18 

30 

55  07 

40 

53  51 

so 

52  30 

00 

51  02 

10 

an 

49  28 

25° 


45  59 
44  01 
41  56 

39  43 
37  17 
34  44 
31  58 
29  02 

25  55 

22  37 
19  09 

15  32 
II  46 

7  55 
358 
o  00 


o  00 
9  17 
18  02 

25  55 
32  46 

3834 

43  25 
4728 
50  50 
53  40 

56  01 

58  00 

59  41 

61  05 

62  17 

63  17 

64  08 

64  52 

6528 
6558 
66  22 

66  42 
6658 

67  09 

67  18 
67  23 
67  25 
67  24 
67  20 
67  14 

67  05 
6654 
66  41 
66  25 
66  07 

65  46 

65  24 
64  59 
64  32 
64  02 

63  31 
62  56 

62  18 
61  38 

60  54 
60  07 

59  17 
5824 

57  26 
56  25 
55  18 
54  07 
52  51 
51  29 

50  02 
48  28 
46  48 
45  00 
43  00 
40  59 

3845 
36  22 

33  49 
31  07 
28  14 
25  II 

21  57 
1835 
15  03 
II  24 
7  40 
3  51 
o  00 


26° 


o  00 

8  37 
16  48 
24  16 
30  51 
36  31 

41  19 
45  23 
48  48 
51  40 
54  06 

56  10 

57  55 

59  23 

60  39 

61  45 

62  38 

63  25 

64  04 

64  37 

65  04 
65  26 
65  44 

65  57 

66  07 
66  14 
66  18 
66  18 
66  15 
66  10 

66  02 

65  52 
65  39 
65  24 
65  07 
64  47 

64  25 
64  01 
63  34 
63  04 
62  32 
61  58' 

61  20 
60  39 
59  56 
59  09 

58  19 
57  26 

56  27 
55  26 
54  19 
5308 

51  52 
50  30 

49  02 
47  29 
45  49 
44  01 
42  05 
40  02 

37  49 
35  28 
32  58 
30  18 
27  28 
24  28 

21  20 
18  02 

14  36 
II  03 
7  25 
3  44 
o  00 


27° 


o  00 
6  01 
15  42 
22  46 
29  05 
34  35 

39  19 
43  23 
46  50 
49  46 
52  15 

54  22 

56  II 

57  44 

59  03 

60  II 

61  10 

61  59 

62  41 

63  16 

63  46 

64  II 
64  30 
64  46 

64  57 

65  05 
65  09 
65  12 
65  10 
6506 

65  00 
64  49 
64  38 
64  23 
64  07 
63  47 

63  26 
63  02 
62  35 
62  06 
61  34 
61  00 

60  22 

59  41 
5858 

58  II 
57  22 
5628 

55  29 
54  27 
53  21 
52  10 
50  53 
49  32 

48  05 
46  31 
44  51 
43  03 
41  09 
39  07 

36  55 
34  36 
32  08 
29  31 
26  44 
2348 

2043 
17  31 
14  10 
1044 
7  12 
3  37 
o  00 


28° 


o  00 

7  30 
14  42 
21  25 
27  29 
32  49 

37  28 
41  30 
44  57 
47  55 

50  27 

52  38 

54  30 

56  06 

57  29 

58  40 

59  42 

60  33 

61  19 

61  56 

62  28 

62  55 

63  16 
63  34 

63  46 
6356 

64  02 
64  05 
64  05 
64  02 

6356 
63  47 
63  36 
63  23 
63  06 
62  48 

62  26 
62  03 
61  36 
61  07 
60  35 
60  01 

59  23 
58  43 
58  00 
57  13 
56  23 

55  29 

54  31 

53  29 
52  23 

51  12 
49  55 
48  34 

47  06 
45  34 
43  54 
42  07 
40  13 
38  12 

36  03 
33  44 
31  18 
28  44 
26  00 
23  07 

20  07 
17  00 

13  45 
10  24 
658 
3  30 
o  00 


29° 


o  00 

7  02 

13  50 
20  II 
26  00 
31  11 

35  43 
39  43 
43  09 
46  09 
48  43 

50  55 

52  51 

54  30 

55  56 

57  II 

58  15 

59  09 

59  57 

60  37 

61  II 

61  39 

62  03 
62  22 

62  37 
62  48 
62  54 

62  59 

63  00 
62  58 

62  53 
62  45 
62  35 
62  21 
62  06 
61  48 

61  27 
61  04 
60  38 
60  09 
59  37 
59  03 

58  26 
57  46 
57  02 

56  15 
55  25 
54  31 

53  33 
52  31 

51  25 
50  13 
4858 
47  37 

46  09 
44  37 
42  57 
41  12 
39  19 
37  18 

35  II 
32  54 
30  31 
2758 
25  18 
22  30 

19  34 
16  30 
13  21 
10  06 
6  46 
3  23 
o  00 


30° 


31° 


32° 


o  00 
6  37 
13  02 
19  04 
2438 
29  38 

34  05 
38  00 
41  26 

44  26 

47  02 

49  17 

51  14 

52  57 

54  25 

55  42 
5648 

57  45 

58  35 

59  18 

59  54 

60  24 

60  50 

61  II 

61  27 
6i  39 
61  47 
61  53 
61  54 
61  54 

61  50 
61  43 
61  33 
61  20 
61  06 
60  48 

60  27 
60  05 
59  39 
59  II 
58  39 
58  05 

5728 

56  47 
56  05 
55  18 
54  28 

53  34 

52  36 
51  34 

50  28 
49  17 

48  01 
46  40 

45  14 
43  41 
42  03 
40  18 
38  25 
36  27 

34  21 
32  06 

29  45 
27  16 

2438 
21  53 

19  01 
16  03 
12  58 
9  47 
6  34 
3  18 
o  00 


o  00 

615 

12  18 

i8  03 
23  23 
28  12 

32  32 
36  25 
39  48 
42  47 
45  23 

47  41 

49  40 

51  24 

52  55 

54  15 

55  23 

56  23 

57  15 

57  59 

58  37 

59  10 
59  36 

59  59 

60  17 
60  31 
60  41 
60  47 
60  49 
60  50 

60  47 
60  40 
60  31 
60  20 
60  06 
59  48 

5928 
59  05 
5841 
58  12 
57  41 
5708 

56  31 
55  50 
55  oS 
54  21 

53  31 
52  37 

51  39 

50  37 
49  31 

48  21 

47  05 
45  44 

44  18 
42  46 
41  09 
39  24 
37  34 
35  36 

33  31 
31  19 
2859 
26  33 
2358 
21  18 

18  29 
15  35 
12  35 
9  31 
6  23 
3  12 
o  00 


o  00 

5  53 
II  38 
17  06 
22  12 
26  53 

31  06 

34  53 
38  14 
41  13 

43  50 

46  07 

48  08 

49  54 

51  27 

52  48 

53  59 
55  01 

55  55 

56  42 

57  21 

57  56 

58  24 
5848 

59  07 
59  22 
59  33 
59  41 
59  44 
59  46 

59  43 
5938 
59  30 
59  19 
59  05 
58  48 

58  28 
58  06 
57  42 
57  13 
56  43 
56  09 

55  33 

54  53 
54  10 
53  24 
52  33 
51  40 

50  42 
49  41 
4835 

47  24 
46  09 

44  48 

43  23 
41  52 
40  14 
38  32 
36  42 
34  45 

32  43 
30  32 
28  16 

25  51 
23  20 
20  42 

1758 
15  08 
12  14 
9  14 

6  12 
3  06 
o  00 


33° 


0 

00 

5  34 

II 

02 

16 

14 

21 

07 

25  37 

29 

33 

^ 

36 

44 

39  41 
42  18 
44  36 

46  39 
48  26 

50  00 

51  24 

52  36 

53  40 

54  36 

55  24 

56  05 

56  41 

57  12. 
57  36 

57  57 

58  14 


34° 


.58 

35 

,S8 

39 

5841  1 

,S8 

40 

58  35  1 

58 

28 

58 

18 

58 

04 

5748 

57  29 

57  07 

56 

43 

56 

15 

55  45  1 

55 

" 

54  35  1 

53  55  1 

53 

12 

52 

26 

51 

36 

50  43  1 

49 

46 

48 

45 

4738  1 

46 

28 

45 

13 

43  54  1 

42 

28 

40 

58 

39 

22 

37  39 

35  50 

33 

5b 

31 

55 

29  47 

27  32 

25 

II 

22 

43 

20 

09 

17  29 

14  44 

ir 

53 

8 

59 

6 

01 

3 

01 

0 

00 

O  00 

5  17 

10  27 
15  26 
20  07 
24  27 

28  26 

32  04 

35  19 
38  13 

40  49 
4308 

45  II 

46  59 

48  35 

50  00 

51  15 

52  20 

53  18 

54  07 

54  51 
5528 

56  00 
5626 

5648 

57  05 
57  19 
57  29 
57  34 
57  37 

57  36 
57  33 
57  26 
57  16 
57  04 
5648 

56  29 
5608 

55  44 
55  17 
54  47 
54  13 

53  38 
52  58 
52  15 
51  30 
50  40 

49  46 

48  50 

47  49 
46  43 
45  33 
44  19 
42  59 

41  35 
40  05 
38  29 

36  49 
35  01 

33  08 

31  09 

29  03 
26  51 
24  32 
22  07 

19  37 

17  00 
13  19 

11  33 
843 

2  56 
o  00 


35° 


Honr  Angle. 


o  00 

9  56 
14  41 
19  10 
23  22 

27  13 
30  45 

33  56 

36  49 

39  24 

41  42 

43  45 

45  35 

47  12 

48  38 

49  55 

51  oi 

52  00 

52  52 

53  36 

54  14 

54  48 

55  15 

55  39 

55  57 

56  12 
56  22 
56  29 
56  34 

56  33 
56  30 
56  24 
56  15 
56  03 
55  47 

55  29 
55  09 
54  45 
54  19 
5348 
53  15 

52  40 
52  01 
51  19 

50  33 
49  44 
48  51 

47  53 

46  52 
45  48 

44  39 
43  24 

42  05 

40  41 
39  13 

37  38 
3558 

34  13 
32  21 

30  23 

28  19 
26  10 
23  54 
21  32 
19  05 

16  32 
13  55 
II  13 
8  28 
5  40 
2  51 
o  00 


b. 
O 


10 


11 


12 


m. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 

41224°— 16 4 


50 


AZIMUTH  OR  TRUE  BEARING. 


LiATITUDX:  11°. 

DECLINATION— 

SAME  NAME  AS— LATITUDE. 

liATITUDE)  11°. 

Hour  Angle. 

36° 

37° 

38° 

3»° 

40° 

41° 

42° 

43° 

44° 

46° 

46° 

47° 

Hour  Angle. 

b. 

m. 

o  / 

0  f 

0  f 

0  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  ' 

0  / 

0  / 

li.    ni. 

0 

OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

4  46 

4  34 

4  20 

4  07 

3  57 

3  46 

336 

3  27 

3  18 

3  09 

3  01 

2  54 

10 

20 

9  28 

9  00 

835 

8  12 

7  50 

7  29 

7  10 

651 

6  34 

6  17 

6  01 

5  46 

20 

30 

13  59 

13  20 

12  44 

12  10 

II  38 

II  07 

10  39 

10  12 

9  46 

9  21 

8  58 

835 

30 

40 

18  18 

17  28 

16  42 

1558 

15  16 

14  38 

14  01 

13  26 

12  52 

12  20 

II  51 

II  22 

40 

50 

22  20 

21  22 

20  27 

19  34 

18  45 

17  59 

17  15 

16  32 

15  52 

15  13 

14  37 

14  01 

50 

1 

OO 

26  04 

24  59 

23  57 

22  58 

22  02 

21  09 

20  18 

19  30 

iS  43 

17  59 

17  17 

1636 

1    00 

lO 

29  31 

28  19 

27  13 

26  08 

25  07 

24  08 

23  II 

22  18 

21  26 

20  37 

19  49 

19  03 

10 

20 

32  39 

31  23 

30  12 

29  04 

27  57 

26  54 

25  54 

24  55 

23  59 

23  05 

22  13 

21  23 

20 

30 

35  29 

34  II 

32  56 

31  45 

30  36 

29  28 

28  24 

27  23 

26  23 

25  25 

24  30 

23  36 

30 

40 

38  03 

36  43 

35  26 

34  12 

33  00 

31  51 

30  44 

29  39 

28  36 

27  35 

26  37 

25  39 

40 

50 

40  20 

3859 

37  42 

36  26 

35  12 

34  01 

32  52 

31  45 

30  40 

29  37 

28  35 

27  35 

50 

2 

OO 

42  23 

41  02 

39  44 

38  28 

37  13 

36  01 

34  50 

33  41 

32  35 

31  29 

30  26 

29  24 

2    00 

lO 

44  13 

42  52 

41  34 

40  17 

39  02 

37  49 

36  37 

3528 

34  20 

33  12 

32  08 

31  04 

10 

20 

45  51 

44  30 

43  13 

41  56 

40  40 

39  27 

38  15 

37  05 

35  56 

34  48 

33  42 

32  37 

20 

30 

47  18 

4558 

44  41 

43  24 

42  10 

40  57 

39  44 

38  33 

37  24 

36  15 

3508 

34  02 

30 

40 

48  36 

47  17 

46  00 

44  45 

43  29 

42  16 

41  04 

39  54 

3843 

37  34 

35  27 

35  20 

40 

60 

49  44 

48  26 

47  10 

45  55 

44  41 

4328 

42  17 

41  06 

39  56 

3847 

37  38 

36  31 

50 

3 

OO 

50  44 

49  27 

48  12 

46  58 

45  45 

44  33 

43  22 

42  II 

41  01 

39  52 

38  44 

37  37 

3     00 

lO 

51  37 

50  21 

49  07 

47  55 

46  42 

45  30 

44  19 

43  10 

42  00 

40  51 

39  43 

38  35 

10 

20 

52  22 

51  09 

49  56 

48  44 

47  32 

46  21 

45  II 

44  02 

42  53 

41  43 

40  36 

39  29 

20 

30 

53  03 

51  50 

5038 

49  28 

48  17 

47  06 

45  56 

44  47 

4338 

42  30 

41  23 

40  16 

30 

40 

53  37 

52  25 

51  15 

50  05 

4855 

47  45 

46  37 

45  28 

44  19 

43  12 

42  05 

40  58 

40 

50 

54  06 

52  56 

51  46 

50  37 

49  28 

48  20 

47  12 

46  03 

44  56 

43  49 

42  42 

41  35 

50 

4 

OO 

54  30 

53  21 

52  12 

51  04 

49  56 

4848 

47  41 

46  34 

45  27 

44  21 

43  14 

42  08 

4     00 

lO 

54  50 

53  42 

52  34 

51  27 

50  20 

49  13 

48  06 

47  00 

45  53 

44  48 

43  42 

42  36 

10 

20 

55  05 

5358 

52  52 

51  46 

50  39' 

49  33 

48  27 

47  21 

46  16 

45  10 

44  05 

42  59 

20 

30 

55  17 

54  II 

53  06 

51  59 

50  54 

49  49 

48  44 

47  39 

46  34 

45  29 

44  24 

43  19 

30 

40 

55  24 

54  19 

53  15 

52  10 

51  05 

50  01 

48  56 

47  52 

4648 

45  43 

44  39 

43  34 

40 

50 

55  29 

54  25 

53  21 

52  17 

51  13 

50  09 

49  05 

48  02 

4658 

45  54 

44  50 

43  46 

50 

5 

OO 

55  30 

54  27 

53  24 

52  20 

51  17 

50  14 

49  10 

48  08 

47  04 

46  01 

44  57 

43  55 

5     00 

lO 

55  28 

54  25 

53  22 

52  20 

51  17 

50  15 

49  13 

48  09 

47  07 

46  05 

45  02 

43  59 

10 

20 

55  22 

54  21 

53  19 

52  17 

51  14 

50  13 

49  II 

48  09 

47  07 

46  05 

•  45  02 

44  00 

20 

30 

55  14 

54  13 

53  12 

52  10 

51  09 

50  07 

49  06 

48  04 

47  03 

46  01 

44  59 

4358 

30 

40 

55  02 

54  02 

53  01 

52  01 

51  00 

49  58 

48  57 

47  57 

46  56 

45  55 

44  54 

43  52 

40 

SO 

54  48 

53  47 

5248 

51  47 

50  46 

49  46 

48  47 

47  46 

46  45 

45  45 

44  44 

43  43 

50 

6 

OO 

54  30 

53  31 

52  31 

51  31 

50  31 

49  31 

48  31 

47  32 

46  32 

45  32 

44  32 

43  31 

6    00 

lO 

54  10 

53  10 

52  II 

51  12 

50  13 

49  13 

48  14 

47  14 

46  15 

45  16 

44  16 

43  17 

10 

20 

53  47 

5248 

51  49 

50  50 

49  51 

4^  52 

47  54 

46  54 

45  56 

44  56 

43  57 

42  58 

20 

30 

53  20 

52  22 

51  23 

50  24 

49  27 

48  28 

47  30 

46  31 

45  33 

44  34 

43  36 

42  37 

30 

40 

52  51 

51  53 

50  54 

49  57 

48  59 

48  01 

47  03 

46  05 

45  07 

4408 

43  10 

42  12 

40 

50 

52  18 

51  20 

50  23 

49  25 

48  28 

47  30 

46  32 

45  35 

44  37 

43  40 

42  43 

41  45 

50 

7 

OO 

51  43 

50  45 

49  48 

48  50 

47  53 

46  56 

46  00 

45  02 

44  05 

43  09 

42  II 

41  14 

7     00 

lO 

51  04 

50  07 

49  10 

48  13 

47  16 

46  20 

45  23 

44  26 

43  29 

42  33 

41  36 

40  40 

10 

20 

50  22 

49  25 

48  28 

47  32 

46  35 

45  39 

44  42 

43  47 

42  51 

41  55 

40  59 

40  02 

20 

30 

49  36 

48  39 

47  43 

46  47 

45  51 

44  56 

44  00 

43  04 

42  08 

41  13 

40  17 

39  22 

30 

40 

48  47 

47  51 

46  55 

46  00 

45  04 

44  08 

43  13 

42  18 

41  23 

40  28 

39  33 

38  39 

40 

50 

47  55 

46  59 

46  03 

45  08 

44  13 

43  18 

42  23 

41  29 

40  34 

39  40 

3846 

37  52 

50 

8 

OO 

4658 

46  03 

4508 

44  12 

43  17 

42  24 

41  29 

40  36 

39  42 

3848 

37  55 

3701 

8     00 

10 

45  57 

45  02 

44  07 

43  14 

42  19 

•  41  25 

40  32 

39  39 

3845 

37  53 

37  00 

36  08 

10 

20 

44  53 

43  59 

43  04 

42  10 

41  17 

40  23 

39  31 

3838 

37  46 

36  54 

36  02 

35  II 

20 

30 

43  44 

42  49 

41  56 

41  03 

40  10 

39  18 

38  25 

37  34 

36  43 

35  52 

35  00 

34  10 

30 

40 

42  30 

41  37 

40  44 

39  51 

3859 

3808 

37  16 

3626 

35  35 

34  45 

33  55 

33  06 

40 

50 

41  II 

40  20 

3928 

3836 

37  44 

36  54 

36  04 

35  14 

34  24 

33  35 

3246 

31  58 

60 

9 

OO 

39  49 

3858 

38  06 

37  15 

36  25 

35  35 

34  46 

33  57 

33  09 

32  21 

31  33 

30  46 

9     00 

lO 

38  21 

37  30 

.  36  40 

35  50 

35  01 

34  12 

33  25 

32  36 

31  49 

31  03 

30  16 

29  31 

10 

20 

3648 

3558 

35  09 

34  21 

33  32 

32  45 

31  58 

31  12 

30  26 

29  41 

28  56 

28  12 

20 
30 
40 
50 

30 

35  09 

34  20 

33  32 

32  45 

31  58 

31  13 

30  28 

29  42 

28  59 

28  15 

27  32 

26  50 

40 

33  25 

32  38 

31  51 

31  05 

30  20 

29  36 

28  52 

28  10 

27  27 

26  45 

26  04 

25  23 

50 

31  35 

30  49 

30  04 

29  21 

28  37 

27  55 

27  13 

26  32 

25  51 

25  II 

24  31 

23  52 

10 

OO 

29  39 

2855 

28  13 

27  31 

26  49 

26  09 

25  29 

.  24  50 

24  12 

23  34 

22  56 

22  19 

10   00 

10 
20 
30 
40 
50 

lO 

27  38 

2656 

26  15 

25  36 

24  56 

24  18 

23  40 

23  03 

22  27 

21  52 

21  17 

20  42 

20 

25  30 

24  50 

24  13 

23  36 

22  59 

22  23 

21  48 

21  14 

20  39 

20  06 

19  34 

19  01 

30 

23  17 

22  41 

22  05 

21  31 

20  56 

20  23 

19  51 

19  19 

18  48 

18  18 

17  47 

17  18 

40 

20  58 

20  25 

19  53 

19  20 

18  50 

18^20 

17  50 

17  21 

16  52 

16  25 

1558 

15  31 

50 

18  34 

18  04 

17  35 

17  07 

1638 

16  12 

15  45 

15  19 

14  54 

14  30 

14  05 

13  41 

11 

OO 

16  05 

15  39 

15  13 

14  48 

14  24 

14  01 

13  37 

13  14 

12  52 

12  31 

12  09 

II  49 

11     00 
10 

lO 

13  32 

13  09 

12  47 

12  27 

12  06 

II  46 

II  26 

II  07 

ID  48 

10  30 

ID  12 

9  54 

20 

10  55 

10  36 

10  19 

10  02 

9  45 

9  28 

9  12 

857 

8  42 

8  26 

8  12 

758 

20 

30 

8  14 

8  00 

7  46 

7  33 

7  21 

768 

656 

6  44 

633 

6  21 

6  II 

6  00 

30 
40 
50 

40 

5  31 

5  21 

5  12 

5  03 

4  54 

4  47 

4  38 

4  31 

4  23 

4  '5 

4  08 

4  01 

50 

2  46 

2  42 

2  37 

2  32 

2  28 

2  23 

2  20 

2  16 

2  12 

2  08 

2  04 

2  00 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East ;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tatiulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East ;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


51 


AZIMUTH  OR  TRUE  BEARING. 


latitude;  11°. 

DECLINATION- 

SAME  NAME  AS— LATITUDE. 

LATITUDE  11-. 

Hoar  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

li. 

m. 

o  / 

0  ' 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

h.    m. 

O 

OO 

O  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

2  47 

2  39 

2  33 

2  27 

2  20 

2  14 

2  09 

2  04 

158 

I  53 

1  49 

I  44 

10 

20 

5  31 

5  19 

5  05 

4  53 

4  40 

^29 
6  41 

4  17 

4  07 

356 

346 

336 

328 

20 

30 

8  14 

7  54 

7  35 

7  17 

6  58 

625 

6  09 

5  53 

53! 

5  24 

5  10 

30 

40 

10  54 

10  27 

10  02 

9  37 

9  14 

851 

8  29 

8  08 

748 

728 

7  09 

^51 

40 

50 

13  28 

12  56 

12  24 

II  55 

II  26 

10  59 

10  32 

10  06 

9  40 

9  17 

853 

8  30 

50 

1 

OO 

1556 

15  19 

14  43 

14  08 

13  34 

13  02 

12  30 

12  00 

II  30 

II  02 

10  34 

10  08 

1     00 

lO 

18  19 

17  37 

1656 

16  17 

15  39 

15  01 

14  25 

13  51 

13  18 

12  44 

12  13 

II  42 

10 

20 

20  35 

19  48 

19  03 

18  19 

17  37 

1656 

16  16 

15  37 

15  00 

14  24 

13  48 

13  14 

20 

30 

22  43 

21  53 

21  04 

20  17 

19  31 

1847 

18  03 

17  20 

16  39 

15  59 

15  21 

14  43 

30 

40 

24  44 

23  51 

22  58 

22  08 

21  19 

20  31 

19  44 

18  59 

18  14 

17  32 

16  49 

16  08 

40 

50 

26  38 

25  41 

24  46 

23  53 

23  01 

22  10 

21  20 

20  32 

19  45 

1859 

18  14 

17  30 

60 

2 

OO 

28  24 

27  25 

26  27 

25  32 

2438 

23  44 

22  51 

22  01 

21  II 

20  22 

19  35 

18  49 

2     00 

lO 

30  02 

29  01 

28  02 

27  04 

26  08 

25  12 

24  18 

23  25 

22  32 

21  41 

20  52 

20  03 

10 

20 

31  33 

30  31 

29  30 

28  31 

27  33 

26  35 

25  39 

24  44 

23  49 

22  56 

22  04 

21  13 

20 

30 

32  57 

31  54 

30  51 

29  51 

28  52 

27  53 

2655 

25  57 

25  02 

24  07 

23  13 

22  20 

30 

40 

34  15 

33  II 

32  08 

31  06 

30  04 

29  05 

28  05 

27  07 

2b  09 

25  13 

24  17 

23  23 

40 

50 

35  26 

34  21 

33  16 

32  14 

31  12 

30  10 

29  10 

28  10 

27  12 

26  14 

25  17 

24  21 

50 

3 

OO 

36  31 

35  25 

34  21 

33  17 

32  14 

31  12 

30  10 

29  10 

28  10 

27  11 

26  13 

25  15 

3     00 

lO 

37  29 

36  24 

35  18 

34  14 

33  II 

32  09 

31  06 

30  04 

29  04 

28  04 

27  05 

26  06 

10 

20 

38  22 

37  17 

36  II 

35  07 

34  03 

33  00 

31  57 

30  55 

29  54 

2853 

27  53 

26  53 

20 

30 

39  10 

3804 

36  59 

35  54 

34  50 

33  47 

32  43 

31  41 

30  39 

29  37 

28  37 

27  37 

30 

40 

39  53 

3846 

37  41 

36  37 

35  32 

3428 

33  25 

32  22 

31  19 

30  18 

29  17 

28  16 

40 

50 

40  30 

39  24 

38  18 

37  14 

36  10 

35  06 

34  02 

32  59 

31  56 

30  54 

29  53 

28  51 

50 

4 

OO 

41  03 

39  57 

38  52 

37  48 

36  43 

35  40 

34  36 

33  32 

32  29 

31  26 

30  25 

29  23 

4     00 

lO 

41  31 

40  25 

39  21 

38  17 

37  13 

36  09 

35  05 

34  02 

32  58 

31  56 

3053 

29  51 

10 

20 

41  55 

40  50 

39  46 

3841 

3738 

36  34 

35  30 

34  27 

33  24 

32  20 

31  18 

30  16 

20 

30 

42  15 

41  10 

40  07 

39  02 

37  58 

36  55 

35  52 

34  48 

33  45 

32  42 

31  40 

30  37 

30 

40 

42  31 

41  27 

40  23 

39  19 

38  16 

37  13 

36  09 

35  07 

34  04 

33  00 

31  58 

30  56 

40 

50 

42  44 

41  39 

40  36 

39  34 

3830 

37  27 

36  23 

3521 

34  18 

33  15 

32  13 

31  II 

50 

5 

OO 

42  52 

41  49 

40  46 

39  43 

38  41 

3738 

36  34 

35  32 

34  39 

33  27 

32  25 

31  22 

5     00 

lO 

42  57 

41  54 

40  51 

39  49 

3847 

37  45 

36  42 

35  40 

3438 

33  35 

32  33 

31  31 

10 

20 

42  59 

41  56 

40  54 

39  52 

3850 

3748 

36  46 

35  44 

34  43 

33  40 

3238 

31  36 

20 

30 

42  57 

41  55 

40  53 

39  52 

3850 

3748 

36  47 

35  46 

34  44 

33  42 

32  41 

31  39 

30 

40 

42  51 

41  51 

40  49 

3948 

38  47 

37  46 

36  45 

35  43 

34  42 

33  40 

32  39 

31  38 

40 

50 

42  44 

41  43 

40  42 

39  41 

3841 

37  40 

36  39 

3538 

34  37 

33  36 

32  36 

31  35 

50 

6 

OO 

42  32 

41  32 

40  31 

39  32 

3831 

37  31 

36  31 

35  30 

34  30 

33  29 

32  29 

31  28 

6     00 

lO 

42  18 

41  18 

40  17 

39  18 

38  18 

37  19 

36  19 

35  19 

34  19 

33  19 

32  19 

31  19 

10 

20 

41  59 

41  00 

40  01 

39  02 

3803 

37  04 

36  04 

35  05 

34  05 

33  05 

32  06 

31  07 

20 
30 

30 

41  39 

40  40 

39  41 

3843 

37  44 

36  45 

35  46 

34  47 

33  49 

32  50 

31  51 

30  52 

40 

41  14 

40  17 

39  18 

38  20 

37  22 

36  25 

35  26 

34  27 

33  29 

32  31 

31  33 

30  34 

40 

50 

40  47 

39  50 

38  52 

37  55 

36  57 

36  00 

35  02 

34  05 

33  07 

32  09 

31  12 

30  14 

50 

7 

OO 

40  17 

39  21 

38  23 

37  27 

36  30 

35  33 

34  35 

33  39 

32  42 

31  45 

30  48 

29  51 

7     00 

lO 

39  44 

38  47 

37  51 

36  55 

35  59 

35  02 

34  07 

33  10 

32  13 

31  17 

30  21 

29  25 

10 

20 

39  08 

38  II 

37  15 

36  20 

35  24 

34  29 

33  34 

32  38 

31  43 

30  47 

29  52 

^^57 

20 

30 

38  28 

37  32 

36  37 

35  43 

34  48 

33  53 

3258 

32  04 

31  09 

30  14 

29  20 

28  26 

30 

40 

37  44 

36  50 

35  56 

35  02 

34  08 

33  14 

32  20 

31  27 

30  32 

29  38 

^4§ 

27  52 

40 

50 

3658 

36  05 

35  II 

34  18 

33  25 

32  32 

31  38 

30  46 

29  53 

29  00 

28  oS 

27  15 

50 

8 

OO 

36  09 

35  16 

34  24 

33  31 

32  39 

31  46 

30  55 

30  02 

29  II 

28  19 

27  28 

26  36 

8     00 

lO 

35  16 

34  24 

33  32 

32  41 

31  50 

30  59 

30  07 

29  17 

28  26 

27  35 

26  45 

25  55 

10 

20 

34  20 

33  29 

3238 

31  48 

30  57 

30  08 

29  17 

28  28 

27  38 

26  48 

26  00 

25  10 

20 

30 

33  20 

32  30 

31  40 

30  51 

30  02 

29  13 

28  24 

27  36 

26  47 

25  59 

25  12 

24  24 

30 

40 

32  17 

31  27 

30  39 

29  52 

29  04 

28  16 

27  29 

26  41 

25  56 

25  07 

24  20 

23  04 

40 

50 

31  10 

30  22 

29  34 

28  48 

28  01 

27  15 

26  29 

25  45 

24  57 

24  12 

23  «7 

22  42 

50 

9 

OO 

30  00 

29  13 

28  27 

27  42 

26  57 

26  II 

25  27 

24  42 

2358 

23  14 

22  31 

21  48 

9     00 

lO 

28  46 

28  01 

27  16 

26  32 

25  49 

25  05 

24  22 

23  39 

22  57 

22  14 

21  33 

20  50 

10 

20 

27  28 

26  44 

26  01 

25  20 

24  38 

23  55 

23  15 

22  33 

21  52 

21  12 

20  32 

19  51 

20 

30 

26  08 

25  26 

24  44 

24  04 

23  23 

22  43 

22  04 

21  25 

20  45 

20  07 

19  28 

18  50 

30 

40 

24  43 

24  02 

23  23 

22  45 

22  05 

21  28 

20  50 

20  13 

19  35 

1859 

18  23 

17  46 

40 

50 

23  15 

22  37 

21  58 

21  22 

20  45 

20  10 

19  34 

19  59 

18  23 

17  49 

17  14 

16  40 

50 

lO 

OO 

21  43 

21  07 

20  31 

1958 

19  23 

18  49 

18  15 

17  41 

17  08 

1636 

16  04 

15  32 

10     00 

lO 

20  08 

19  35 

19  01 

18  29 

17  57 

17  25 

1654 

16  23 

15  52 

15  21 

14  52 

14  21 

10 

20 

18  31 

17  59 

17  28 

16  59 

16  29. 

15  59 

15  30 

15  02 

14  33 

14  05 

13  38 

13  10 

20 

30 

16  49 

16  20 

15  52 

15  25 

14  58 

14  31 

14  05 

1338 

13  12 

12  47 

12  21 

II  57 

30 

40 

16  03 

1438 

14  14 

13  49 

13  24 

13  00 

12  36 

12  13 

II  49 

11  26 

II  03 

10  41 

40 

50 

13  18 

12  55 

12  32 

12  10 

II  49 

II  27 

11  06 

10  45 

10  25 

10  04 

9  44 

9  24 

50 

11 

OO 

II  29 

II  09 

10  49 

10  30 

10  II 

9  53 

9  34 

9  16 

859 

8  41 

823 

8  05 

11     00 

lO 

9  38 

9  21 

9  04 

8  48 

831 

8  16 

8  00 

7  46 

7  30 

7  16 

7  01 

6  47 

10 

20 

7  44 

7  31 

7  IS 

7  04 

652. 

6  39 

6  26 

6  14 

6  02 

5  50 

5  39 

5  27 

20 

30 

5  50 

5  39 

5  29 

5  19 

5  09 

5  00 

4  51 

4  41 

4  33 

423 

4  14 

4  06 

30 

40 

3  53 

3  47 

3  40 

3  33 

3  27 

3  21 

3  14 

3  08 

3  02 

256 

2  50 

2  44 

40 

50 

I  57 

I  54 

I  50 

I  47 

I  43 

I  40 

I  37 

I  34 

1. 31 

I  28 

I  25 

1  22 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

12     00 

In  North  latitade,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  aximuths  are  reckoned  from  North  to  Bast;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitade,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


52 


AZIMUTH  OR  TRUE  BEARING. 


liATITVDE  11°. 

DECIylNATION— SAME  NAME  AS- 

IvATITUDE. 

LiATITlIDE  11°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

li. 

ni. 

o  / 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  r 

0  / 

0  / 

0  r 

b.    ni. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

1  39 

I  34 

I  31 

I  27 

I  22 

I  18 

I  14 

I  II 

I  07 

I  03 

I  00 

10 

20 

3  i8 

3  10 

3  01 

2  53 

2  44 

2  36 

2  29 

2  21 

2  13 

2  07 

I  59 

20 

30 

4  56 

4  43 

4  31 

4  18 

4  06 

3  53 

3  42 

3  31 

3  20 

3  10 

2  59 

30 

40 

633 

6  16 

5  59 

5  42 

5  27 

5  10 

4  55 

4  40 

4  26 

4  II 

358 

40 

50 

8  08 

7  47 

7  25 

7  05 

6  45 

6  26 

6  07 

5  49 

5  31 

5  13 

4  56 

60 

1 

OO 

9  42 

9  16 

851 

827 

8  04 

7  40 

7  18 

6  56 

6  34 

6  13 

5  52 

1    00 

lO 

II  12 

10  43 

10  14- 

9  47 

9  19 

853 

8  27 

8  02 

738 

7  13 

6  49 

10 

20 

12  41 

12  08 

II  35 

II  04 

10  35 

10  04 

9  35 

9  06 

839 

8  II 

7  44 

20 

30 

14  06 

13  30 

12  55 

12  20 

II  47 

II  13 

10  41 

10  10 

9  38 

9  08 

8  38 

30 

40 

15  28 

14  49 

14  10 

13  33 

12  56 

12  20 

II  45 

II  10 

10  36 

10  03 

9  30 

40 

50 

16  47 

16  05 

15  23 

14  44 

14  04 

13  25 

12  46 

12  09 

II  32 

10  56 

lo  21 

50 

2 

OO 

18  03 

17  18 

16  34 

15  51 

15  09 

14  28 

13  47 

13  06 

12  27 

II  48 

II  II 

2    00 

lO 

19  15 

18  28 

17  41 

16  55 

16  II 

15  27 

14  43 

14  01 

13  19 

12  38 

11  58 

10 

20 

20  22 

19  34 

18  45 

^l  57 

17  II 

16  25 

1538 

14  54 

14  10 

13  26 

12  44 

20 

30 

21  27 

20  36 

19  45 

18  56 

18  07 

17  19 

16  31 

15  44 

14  58 

14  12 

13  27 

30 

40 

22  28 

21  35 

20  43 

19  51 

19  01 

18  10 

17  20 

16  31 

15  43 

14  55 

14  08 

40 

50 

23  26 

22  31 

21  37 

20  43 

19  51 

1859 

18  07 

17  16 

16  27 

15  37 

14  48 

50 

3 

OO 

24  19 

23  23 

22  27 

21  32 

20  38 

1945 

18  52 

17  59 

t^  08 

16  16 

15  26 

3    00 

lO 

25  09 

24  II 

23  15 

22  18 

21  23 

20  27 

19  33 

1839 

17  46 

16  54 

16  01 

10 

20 

25  54 

24  56 

23  58 

23  01 

22  04 

21  08 

20  12 

19  17 

18  22 

17  28 

16  34 

20 

30 

26  37 

25  37 

2438 

23  40 

22  42 

21  45 

20  48 

19  52 

18  55 

18  00 

17  05 

30 

40 

27  15 

26  15 

25  15 

24  16 

23  18 

22  19 

21  21 

20  23 

19  26 

18  30 

17  34 

40 

50 

27  50 

26  50 

25  49 

24  49 

23  50 

22  50 

21  51 

20  53 

19  55 

18  57 

18  00 

50 

4 

OO 

28  21 

27  21 

26  19 

25  19 

24  19 

23  19 

22  19 

21  20 

20  21 

19  22 

18  25 

4    00 

lO 

28  50 

27  48 

26  46 

25  45 

24  45 

23  44 

22  44 

21  45 

20  45 

19  46 

18  46 

10 

20 

29  14 

28  12 

27  10 

26  09 

25  08 

24  08 

23  07 

22  05 

21  06 

20  05 

19  07 

20 

30 

29  35 

28  33 

27  31 

26  30 

25  29 

24  27 

23  26 

22  25 

21  24 

20  24 

19  24 

30 

40 

29  53 

28  52 

27  49 

26  47 

25  46 

24  44 

23  43 

22  42 

21  41 

20  39 

19  39 

40 

50 

30  08 

29  06 

28  04 

27  02 

26  01 

2458 

23  56 

22  55 

21  54 

20  53 

19  52 

50 

5 

OO 

30  20 

29  19 

28  15 

27  13 

26  12 

25  10 

24  08 

23  06 

22  05 

■ii   04 

20  02 

5     00 

lO 

30  29 

29  27 

28  24 

27  23 

26  21 

25  19 

24  18 

23  15 

22  14 

21  13 

20  II 

10 

20 

30  35 

29  33 

28  31 

27  29 

26  27 

25  26 

24  24 

23  22 

22  20 

21  18 

20  17 

20 

30 

30  37 

29  35 

2833 

27  32 

26  31 

25  29 

24  27 

23  25 

22  25 

21  23 

20  21 

30 

40 

30  37 

29  36 

28  34 

27  33 

26  32 

25  31 

24  28 

23  27 

22  26 

21  24 

20  23 

40 

SO 

30  34 

29  33 

28  31 

27  31 

26  30 

25  28 

24  28 

23  27 

22  25 

21  24 

20  23 

50 

6 

00 

30  28 

29  27 

28  27 

27  26 

26  26 

25  25 

24  23 

23  23 

22  22 

21  21 

20  20 

6     00 

10 

30  19 

29  19 

28  19 

27  19 

26  18 

25  19 

24  18 

23  17 

22 17 

21  17 

20  16 

10 

20 

30  08 

29  08 

28  09 

27  09 

26  09 

25  09 
24  58 

24  09 

23  09 

22  09 

21  09 

20  10 

20 

30 

29  53 

2854 

27  55 

26  56 

25  57 

23  58 

22  59 

22  00 

21  00 

20  01 

30 

40 

29  36 

2838 

27  39 

26  41 

25  42 

24  44 

23  45 

22  46 

21  47 

20  49 

19  50 

40 

60 

29  16 

28  19 

27  21 

26  23 

25  25 

24  28 

23  30 

22  31 

21  33 

20  35 

19  37 

50 

7 

OO 

28  54 

27  58 

27  01 

26  04 

■25  07 

24  09 

23  II 

22  14 

21  17 

20  20 

19  23 

7    00 

lO 

28  28 

27  33 

26  37 

25  41 

24  45 

2348 

22  51 

21  55 

20  59 

20  03 

19  06 

10 

20 

28  01 

27  07 

26  II 

25  16 

24  21 

23  25 

22  29 

21  33 

20  38 

19  43 

18  48 

20 

30 

27  31 

2637 

25  43 

24  48 

23  54 

23  00 

22  05 

21  10 

20  16 

19  21 

1858 

18  27 

30 

40 

2658 

26  06 

25  12 

24  19 

23  25 

22  32 

21  38 

20  44 

19  51 

18  05 

40 

50 

26  22 

25  31 

24  38 

23  46 

22  53 

22  02 

21  09 

20  17 

19  25 

18  32 

17  40 

50 

8 

OO 

25  45 

24  53 

24  02 

23  II 

22  20 

21  29 

20  37 

19  46 

1856 

18  05 

17  14 

8     00 

lO 

25  04 

24  15 

ij,  24 

22  34 

21  45 

20  55 

20  05 

19  15 

18  25 

17  35 

16  46 

10 

20 

24  21 

23  32 

22  43 

21  55 

21  07 

20  18 

19  29 

18  41 

17  53 

17  05 

16  16 

20 

30 

23  36 

22  48 

22  01 

21  14 

20  27 

19  39 

18  52 

18  06 

17 18 

16  32 

15  45 

30 

40 

22  47 

22  02 

21  16 

20  30 

19  44 

18  59 

18  13 

17  28 

16  43 

15  57 

15  12 

40 

50 

21  57 

•  21  13 

20  28 

19  44 

19  00 

18  16 

17  32 

16  48 

16  05 

15  21 

1438 

50 

9 

OO 

21  04 

20  22 

19  39 

18  55 

18  13 

17  32 

16  49 

16  06 

15  25 

14  43 

14  01 

9    00 

10 

20  09 

19  28 

18  47 

18  06 

17  25 

16  44 

16  05 

15  24 

14  44 

14  03 

13  24 

10 

20 

19  12 

18  32 

17  53 

17  14 

16  35 

15  56 

15  18 

14  39 

14  01 

13  23 

12  44 

20 

SO 

18  12 

17  35 

16  57 

16  20 

15  43 

15  06 

14  29 

13  53 

13  17 

12  40 

12  04 

30 

40 

17  10 

16  35 

15  59 

15  24 

14  49 

14  14 

13  40 

13  05 

12  30 

II  56 

II  22 

40 

50 

16  06 

15  33 

15  00 

14  26 

13  53 

13  20 

12  47 

12  15 

II  43 

II  II 

10  39 

60 

lO 

OO 

15  01 

14  29 

13  58 

13  27 

12  56 

12  25 

II  55 

II  24 

10  54 

10  24 

9  54 

10   00 

lO 

13  52 

13  23 

12  54 

12  25 

II  57 

II  29 

II  00 

10  33 

10  05 

9  37 

9  09 

10 

20 

12  42 

12  17 

II  50 

II  23 

10  57 

10  31 

10  05 

9  39 

9  14 

8  48 

8  23 

20 

30 

II  32 

II  07 

10  43 

10  19 

9  55 

9  32 

9  08 

8  45 

8  22 

7  59 

736 

30 

40 

ID  19 

9  57 

9  35 

9  13 

8  52 

8  31 

8  10 

7  49 

728 

7  07 

6  47 

40 

50 

9  05 

8  45 

8  26- 

8  07 

748 

7  30 

7  II 

652 

6  34 

6  16 

5  57 

50 

11 

OO 

7  49 

7  32 

7  16 

6  59 

643 

627 

6  10 

5  55 

5  40 

5  23 

508 

11     00 

lO 

632 

6  19 

6  05 

5  51 

5  38 

5  23 

5  10 

4  57 

4  44 

4  31 

4  18 

10 

20 

5  15 

5  04 

4  53 

4  42 

4  31 

4  20 

4  09 

358 

3  48 

3  37 

326 

20 

30 

3  57 

348 

3  40 

3  31 

3  23 

3  15 

3  07 

2  59 

2  51 

2  43 

2  35 

30 

40 

2  39 

2  33 

2  27 

2  22 

2  16 

2  II 

2  06 

I  59 

I  54 

I  49 

I  44 

40 

50 

I  19 

I  17 

I  14 

I  II 

I  08 

I  06 

I  03 

I  00 

0  58 

0  55 

0  52 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

IS   00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  th« 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


53 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  ia°. 

DECUNATION- 

-SAME  NAME  AS— I.ATITUDE. 

LATITUDE  12'. 

Hour  An 

gle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

330 

340 

35° 

Hoar  Angle. 

li. 

in. 

o  / 

0  / 

0  t 

0  / 

0  ' 

0  r 

0  / 

0  / 

0  / 

0  / 

0  1 

0  r 

b.    ni. 

O 

OO 

0  OO 

c  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

10  51 

958 

9  12 

832 

7  57 

7  25 

658 

633 

6  10 

5  50 

5  31 

5  14 

10 

20 

20  53 

19  17 

17  54 

16  39 

15  33 

14  35 

13  42 

12  54 

12  10 

II  31 

10  54 

ID  20 

20 

30 

29  39 

27  34 

25  43 

24  04 

22  34 

21  13 

20  00 

1853 

17  51 

16  55 
21  58 

16  03 

15  15 

30 

40 

3658 

3438 

32  31 

30  36 

28  50 

27  15 

25  46 

24  23 

23  09 

20  53 

19  53 

40 

50 

42  57 

40  32 

38  18 

36  13 

34  19 

32  33 

30  53 

29  22 

27  56 

26  37 

25  21 

24  II 

50 

1 

OO 

47  48 

45  24 

4308 

41  01 

39  02 

37  10 

35  26 

33  47 

32  14 

30  47 

29  25 

28  08 

1     00 

10 

51  44 

49  23 

47  II 

45  03 

43  03 

41  10 

39  23 

37  40 

36  04 

34  32 

33  06 

31  43 

10 

20 

54  56 

52  41 

50  31 

48  27 

46  29 

44  36 

42  48 

41  05 

39  26 

37  52 

36  22 

34  56 

20 

30 

57  33 

55  24 

53  20 

51  19 

49  24 

47  33 

45  46 

44  03 

42  24 

40  49 

39  17 

37  49 

30 

40 

59  42 

57  39 

55  40 

53  45 

51  52 

5005 

48  19 

46  37 

45  00 

43  25 

41  53 

40  25 

40 

50 

61  28 

59  32 

5738 

55  46 

53  59 

52  14 

50  32 

4852 

47  15 

45  42 

44  10 

42  42 

50 

2 

OO 

62  56 

61  05 

59  18 

57  31 

55  47 

54  05 

52  26 

50  49 

49  14 

47  42 

46  12 

44  44 

2    00 

lO 

64  09 

62  25 

60  41 

5859 

57  19 

55  40 

54  05 

52  30 

50  57 

49  27 

47  58 

46  31 

10 

ao 

65  II 

63  31 

61  52 

60  13 

5837 

57  03 

55  29 

53  57 

52  27 

5058 

49  31 

48  06 

20 

30 

6603 

64  27 

62  52 

61  17 

59  45 

58  13 

56  43 

55  14 

53  46 

52  18 

50  53 

49  30 

30 

40 

6645 

65  13 

63  42 

62  II 

60  41 

59  13 

57  46 

56  19 

54  53 

53  29 

52  05 

50  43 

40 

50 

67  20 

65  51 

64  24 

62  56 

61  30 

60  05 

5840 

57  16 

55  52 

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5308 

51  47 

50 

3 

OO 

67  48 

66  23 

64  59 

63  35 

62  II 

60  48 

59  26 

5804 

56  43 

55  23 

54  03 

52  44 

3     00 

lO 

68  12 

6649 

65  28 

64  06 

6245 

61  25 

60  05 

5846 

57  27 

56  08 

54  51 

53  33 

10 

ZO 

68  29 

67  II 

65  51 

64  33 

63  14 

61  55 

60  38 

59  20 

5803 

56  47 

55  31 

54  15 

20 

30 

6843 

67  27 

66  10 

64  53 

63  37 

62  21 

61  05 

59  50 

5835 

57  20 

56  06 

54  52 

30 

40 

6854 

67  39 

6625 

65  10 

63 :,- 

62  41 

61  28 

60  14 

59  01 

57  48 

56  34 

55  22 

40 

50 

6859 

67  48 

6635 

65  22 

64  10 

62  57 

61  45 

60  34 

59  22 

58  II 

56  59 

5548 

50 

4 

OO 

69  03 

67  52 

66  42 

65  31 

«4  20 

63  10 

61  59 

60  49 

59  39 

5828 

57  18 

56  09 

4     00 

lO 

69  03 

67  54 

66  46 

65  46 

64  27 

63  18 

62  09 

6059 

59  51 

5843 

57  33 

56  25 

10 

20 

69  01 

67  53 

66  46 

6538 

64  30 

63  22 

62  15 

61  08 

60  00 

5853 

57  45 

56  37 

20 

30 

6856 

67  49 

6643 

6536 

64  30 

63  24 

62  17 

61  II 

60  05 

5858 

57  52 

5646 

30 

40 

6849 

67  43 

6638 

65  33 

64  27 

6323 

62  18 

61  12 

60  06 

59  02 

57  56 

56  51 

40 

50 

68  38 

67  34 

6631 

65  26 

64  22 

63  i§ 

62  14 

61  10 

60  05 

59  02 

57  57 

56  52 

50 

5 

OO 

68  26 

67  23 

66  20 

65  17 

64  14 

63  II 

62  08 

61  04 

60  01 

5857 

57  54 

56  51 

5     00 

lO 

68  12 

67  09 

66  08 

6506 

64  03 

63  01 

61  59 

6056 

59  53 

5851 

5748 

56  4& 

10 

20 

67  55 

6654 

65  53 

64  52 

63  49 

62  48 

61  47 

60  45 

59  43 

58  41 

57  39 

56  37 

20 

30 

6736 

66  36 

65  35 

64  35 

63  34 

62  33 

61  32 

60  31 

59  30 

5828 

57  27 

56  27 

30 

40 

67  16 

66  16 

65  16 

64  15 

63  15 

62  15 

61  14 

60  15 

59  14 

58  13 

57  12 

56  12 

40 

50 

6653 

65  53 

64  54 

63  54 

62  54 

61  55 

60  55 

59  55 

5856 

57  55 

56  55 

55  55 

50 

6 

OO 

66  28 

65  29 

64  30 

63  31 

62  31 

61  32 

60  32 

59  33 

5834 

57  35 

56  35 

55  35 

6     00 

lO 

66  01 

65  02 

64  03 

63  04 

62  06 

61  07 

.60  07 

59  09 

58  10 

57  12 

56  12 

55  13 

10 

20 

65  31 

64  32 

63  35 

62  36 

61  37 

6038 

59  40 

58  42 

57  44 

56  45 

55  46 

54  47 

20 

30 

64  59 

64  00 

63  03 

62  04 

61  06 

60  08 

59  09 

58  II 

57  13 

56  15 

55  17 

54  19 

30 

40 

64  25 

63  27 

62  29 

61  30 

60  33 

59  34 

5837 

57  39 

56  41 

55  43 

54  45 

53  48 

40 

50 

63  48 

62  50 

61  52 

60  54 

59  56 

58  59 

58  01 

57  03 

5606 

5508 

54  10 

53  13 

50 

7 

OO 

63  08 

62  10 

61  13 

60  15 

59  17 

58  20 

57  22 

56  25 

55  27 

54  30 

53  33 

52  36 

7     00 

lO 

62  26 

61  28 

60  30 

59  32 

58  35 

57  37 

56  40 

55  42 

54  46 

53  49 

52  51 

51  55 

10 

20 

61  41 

60  42 

59  45 

58  47 

57  50 

56  52 

55  55 

54  58 

54  01 

53  04 

52  07 

51  II 

20 

30 

6053 

59  55 

5857 

57  59 

57  01 

56  04 

55  07 

54  09 
53  18 

53  13 

52  17 

51  20 

50  24 

30 

40 

60  00 

59  °2 

58  04 

57  06 

56  09 

55  12 

54  14 

52  22 

51  25 

50  29 

49  33 

40 

50 

59  05 

58  06 

57  09 

56  II 

55  13 

54  16 

53  20 

52  22 

51  26 

50  30 

49  34 

4838 

50 

8 

OO 

58  04 

57  07 

56  09 

55  II 

54  14 

53  17 

52  20 

51  23 

50  27 

49  31 

4836 

47  40 

8     00 

lO 

57  01 

56  03 

55  05 

54  07 

53  10 

52  13 

51  16 

50  19 

49  24 

48  28 

47  33 

4638 

10 

20 

55  54 

54  55 

5358 

53  00 

52  02 

51  05 

50  09 

49  12 

48  17 

47  21 

46  26 

45  32 

20 

30 

54  41 

53  42 

52  45 

51  47 

50  49 

49  52 

4856 

48  00 

47  04 

46  10 

45  15 

44  21 

30 

40 

53  23 

52  25 

51  27 

5028 

49  32 

48  34 

47  39 

46  43 

45  48 

44  54 

44  00 

43  07 

40 

30 

52  00 

51  01 

50  03 

49  06 

48  09 

47  13 

46  17 

45  21 

44  27 

43  33 

42  39 

41  46 

50 

9 

OO 

50  31 

49  32 

.4835 

47  37 

46  40 

45  44 

44  49 

43  54 

43  00 

42  07 

41  14 

40  21 

9     00 

lO 

4855 

47  57 

46  59 

46  02 

45  05 

44  10 

43  15 

42  21 

41  28 

40  36 

39  43 

38  52 

10 

20 

47  14 

46  15 

45  18 

44  21 

43  25 

42  30 

41  37 

40  42 

39  50 

3859 

38  07 

37  17 

20 

30 

45  24 

44  26 

43  29 

42  33 

41  37 

40  44 

39  51 

3858 

38  07 

37  16 

36  25 

35  37 

30 

4e 

43  26 

42  29 

41  32 

40  37 

39  44 

3850 

37  58 

37  07 

36  16 

35  27 

34  39 

33  51 

40 

50 

41  19 

40  23 

39  29 

3834 

37  42 

36  50 

35  59 

3508 

34  21 

33  33 

32  45 

31  59 

SO 

lO 

OO 

39  05 

38  10 

37  16 

36  23 

35  32 

34  42 

33  53 

33  05 

32  18 

31  31 

30  46 

30  02 

10     00 

lO 

36  41 

35  47 

34  56 

34  05 

33  14 

32  26 

31  39 

30  53 

30  08 

29  24 

28  40 

27  58 

10 

20 

34  07 

33  15 

32  26 

31  36 

30  49 

30  03 

29  18 

2834 

27  51 

27  10 

26  29 

25  49 

20 

30 

31  23 

30  33 

29  46 

29  00 

28  15 

27  32 

26  49 

26  09 

25  29 

24  50 

24  II 

23  34 

30 

40 

28  27 

27  42 

2658 

26  15 

25  33 

24  52 

24  13 

23  36 

22  59 

22  23 

21  47 

21  14 

40 

50 

25  23 

24  41 

24  01 

23  21 

22  43 

22  07 

21  30 

20  56 

20  23 

19  51 

19  18 

18  48 

50 

11 

OO 

22  08 

21  30 

20  54 

20  18 

19  45 

19  13 

18  41 

18  10 

17  40 

17  12 

16  44 

16  18 

11     00 

lO 

18  44 

18  II 

17  40 

1709 

16  40 

16  12 

15  45 

15  18 

14  54 

14  29 

14  05 

13  42 

10 

20 

15  II 

14  43 

14  17 

13  52 

13  28 

13  06 

12  44 

12  22 

12  01 

II  41 

II  22 

II  03 

20 

30 

II  30 

II  09 

10  49 

10  30 

10  12 

9  53 

9  36 

9  20 

9  05 

850 

8  34 

8  20 

30 

40 

7  43 

7  29 

7  16 

7  02 

6  50 

638 

627 

6  15 

6  05 

5  54 

5  45 

5  34 

40 

50 

3  53 

3  45 

338 

3  33 

326 

3  20 

3  14 

3  09 

3  03 

258 

2  52 

2  48 

SO 

la 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


54 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE!  18°. 

DECWNATION— SAME  NAME  AS— LATITUDE. 

LiATITUUE  ia°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

b.    m. 

o  t 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  , 

0  t 

0  / 

b.    m. 

O     OO 

O  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

4  58 

4  43 

4  29 

4  16 

4  04 

3  53 

3  43 

3  33 

3  23 

3  15 

3  06 

258 

10 

ao 

9  50 

9  20 

8  54 

8  29 

8  05 

7  43 

7  22 

7  03 

6  45 

6  27 

6  II 

5  55 

ao 

30 

14  30 

13  48 

13  09 

12  33 

II  59 

II  27 

10  57 

10  28 

10  01 

9  36 

9  12 

849 

30 

40 

18  57 

18  04 

17  15 

16  28 

15  45 

15  03 

14  25 

13  48 

13  12 

12  39 

12  08 

II.  38 

40 

50 

23  06 

22  04 

21  06 

20  10 

19  19 

18  30 

17  43 

16  59 

16  16 

15  36 

14  57 

14  21 

50 

1     OO 

26  55 

25  46 

24  40 

23  39 

22  40 

21  44 

20  51 

19  59 

19  II 

18  25 

17  41 

16  59 

1   00 

lO 

30  24 

29  II 

27  59 

26  51 

25  47 

24  46 

23  47 

22  51 

21  57 

21  05 

20  15 

19  28 

10 

ao 

33  34 

32  16 

31  01 

29  49 

28  41 

27  34 

26  31 

25  30 

24  32 

23  36 

22  43 

21  50 

ao 

80 

36  25 

35  05 

33  47 

32  32 

31  20 

30  II 

29  04 

27  59 

26  57 

25  58 

24  59 

24  04 

30 

40 

38  59 

37  36 

36  16 

35  00 

33  46 

32  34 

31  24 

30  17 

29  12 

28  09 

27  08 

26  10 

40 

50 

41  15 

39  53 

3S  32 

37  14 

3558 

34  44 

33  33 

32  24 

31  16 

30  II 

29  08 

28  06 

50 

»     OO 

43  18 

41  55 

40  34 

39  15 

37  58 

36  44 

35  31 

34  20 

33  12 

32  04 

30  59 

2955 

a   00 

lO 

45  06 

43  44 

42  23 

41  04 

39  47 

38  31 

37  18 

36  06 

34  56 

3348 

32  41 

31  36 

10 

ao 

46  42 

45  20 

44  00 

42  41 

41  25 

40  09 

38  55 

37  43 

36  32 

35  23 

34  15 

33  08 

ao 

30 

48  07 

46  47 

45  27 

44  09 

42  52 

41  36 

40  23 

39  II 

37  59 

3^  50 

35  41 

34  34 

30 

40 

49  23 

48  03 

46  45 

45  27 

44  II 

42  56 

41  43 

40  29 

39  18 

38  08 

36  59 

35  51 

40 

50 

50  28 

49  10 

47  53 

46  36 

45  21 

44  06 

42  53 

41  41 

40  30 

39  19 

38  10 

37  02 

50 

3     OO 

51  27 

50  09 

48  53 

47  37 

46  23 

45  10 

43  57 

42  44 

41  34 

40  23 

39  14 

38  06 

3   00 

lO 

52  17 

51  01 

49  46 

48  31 

47  18 

46  05 

44  53 

43  42 

42  31 

41  21 

40  12 

39  04 

10 

ao 

53  01 

51  47 

50  32 

49  19 

48  06 

46  54 

45  43 

44  32 

43  22 

42  13 

41  04 

39  56 

ao 

30 

53  39 

52  25 

51  4^ 

50  01 

4849 

4738 

46  27 

45  17 

44  07 

4258 

41  50 

40  42 

30 

40 

54  10 

52  59 

50  36 

49  26 

48  15 

47  05 

45  56 

44  47 

43  38 

42  31 

41  23 

40 

50 

54  37 

53  27 

52  17 

51  07 

49  57 

48  48 

4738 

46  30 

45  22 

44  14 

43  06 

41  59 

50 

4     OO 

54  59 

53  50 

52  41 

51  32 

50  23 

49  15 

48  06 

46  58 

45  51 

44  44 

43  37 

42  30 

4   00 

lO 

55  16 

54  09 

53  00 

51  53 

50  45 

49  37 

48  30 

47  23 

46  16 

45  10 

44  03 

42  57 

10 

ao 

55  30 

54  24 

53  16 

52  09 

51  03 

49  56 

48  49 

47  42 

46  37 

45  30 

44  25 

43  20 

ao 

30 

55  39 

54  33 

53  27 

52  21 

51  16 

50  10 

49  04 

47  59 

46  53 

45  47 

44  42 

43  38 

30 

40 

55  45 

54  40 

53  35 

52  30 

51  25 

50  20 

49  15 

48  10 

47  05 

46  01 

44  56 

43  52 

40 

50 

55  48 

54  44 

53  40 

52  35 

51  31 

50  27 

49  22 

48  19 

47  14 

46  10 

45  06 

44  02 

50 

5     OO 

55  47 

54  44 

53  41 

52  36 

51  33 

50  29 

49  26 

48  23 

47  19 

46  16 

45  12 

4409 

5   00 

lO 

'  55  43 

54  41 

53  37 

52  34 

51  32 

50  29 

49  26 

48  23 

47  21 

46  17 

45  14 

44  12 

10 

ao 

55  35 

54  33 

53  31 

52  29 

51  27 

50  25 

49  23 

48  21 

47  19 

46  16 

45  14 

44  12 

20 

30 

55  25 

54  24 

53  22 

52  21 

51  19 

50  17 

49  16 

48  14 

47  13 

46  II 

45  10 

44  08 

30 

40 

55  II 

54  II 

53  10 

52  09 

51  09 

50  07 

49  07 

48  06 

47  04 

46  04 

45  03 

44  02 

40 

50 

54  55 

53  56 

52  55 

51  55 

50  55 

49  54 

4854 

47  54 

46  54 

45  53 

44  52 

43  51 

50 

6     OO 

54  36 

53  36 

52  37 

51  37 

50  37 

49  37 

48  38 

47  38 

46  38 

45  38 

44  38 

43  39 

6   00 

lO 

54  14 

53  15 

52  15 

51  16 

50  17 

49  18 

48  19 

47  19 

46  20 

45  21 

44  20 

43  2- 

10 

ao 

53  49 

52  50 

51  51 

50  53 

49  55 

4855 

47  57 

46  58 

45  59 

45  00 

44  01 

43  02 

ao 

30 

53  21 

52  23 

51  24 

50  26 

49  28 

48  30 

47  32 

46  33 

45  34 

44  36 

43  38 

42  40 

30 

40 

52  49 

51  52 

50  54 

49  56 

4858 

48  00 

47  03 

46  05 

45  07 

44  09 

43  II 

42  14 

40 

60 

52  16 

51  19 

50  21 

49  23 

4827 

47  29 

46  32 

45  34 

44  37 

43  40 

42  42 

41  45 

50 

7     OO 

51  39 

50  41 

49  45 

48  47 

47  51 

46  54 

45  57 

45  00 

44  03 

43  06 

42  10 

41  13 

7   00 

lO 

5058 

50  01 

49  05 

48  08 

47  12 

46  16 

45  19 

44  23 

43  26 

42.30 

41  34 

40  38 

no 

ao 

50  15 

49  19 

48  21 

47  25- 

46  30 

45  34 

44  39 

43  42 

42  46 

41  50 

40  55 

40  00 

S5S 

30 

49  27 

4832 

47  36 

46  40 

45  43 

44  49 

43  54 

42  57 

42  Q3 

41  08 

40  14 

39  18 

30 

40 

4837 

47  42 

46  46 

45  51 

44  56 

44  01 

43  06 

42  II 

41  16 

40  22 

39  28 

3834 

40 

50 

47  43 

46  48 

45  53 

44  58 

44  03 

43  09 

42  15 

41  20 

40  26 

39  33 

38  40 

37  47 

50 

8     OO 

46  45 

45  50 

44  56 

44  01 

43  07 

42  14 

41  20 

40  26 

39  33 

38  40 

37  48 

36  55 

8     00 

lO 

45  43 

44  49 

43  55 

43  01 

42  08 

41  14 

40  22 

39  29 

3836 

37  44 

3652 

36  00 

10 

ao 

44  37 

43  43 

42  50 

41  57 

41  04 

40  12 

39  19 

38  27 

37  36 

36  44 

35  54 

35  02 

ao 

30 

43  28 

42  35 

41  41 

40  49 

39  57 

39  05 

38  14 

37  22 

36  32 

35  41 

34  51 

34  01 

30 

40 

42  13 

41  20 

40  29 

39  36 

38  46 

37  54 

37  04 

36  13 

35  23 

34  34 

33  45 

32  56 

40 

50 

40  54 

40  02 

39  II 

38  19 

37  30 

36  39 

35  50 

35  01 

34  12 

33  23 

32  35 

31  47 

50 

8     OO 

39  30 

3839 

37  49 

36  59 

36  09 

35  20 

34  31 

33  43 

32  56 

32  09 

31  22 

30  35 

»   00 

lO 

38  02 

37  12 

36  22 

35  32 

34  44 

33  56 

33  09 

32  23 

31  37 

30  50 

30  05 

29  20 

10 

ao 

36  28 

35  39 

34  50 

34  02 

33  16 

32  29 

31  43 

30  57 

30  13 

29  28 

28  45 

28  01 

ao 

30 

34  49 

34  01 

33  14 

32  28 

31  42 

30  56 

30  12 

29  29 

28  45 

28  02 

27  20 

26  39 

30 

40 

33  04 

32  18 

31  33 

30  47 

30  04 

29  19 

2837 

27  55 

27  14 

26  32 

25  52 

25  12 

40 

6'0 

31  14 

30  30 

29  46 

29  02 

28  21 

27  39 

26  58 

26  18 

25  38 

24  58 

24  20 

23  42 

50 

lO     OO 

29  19 

2836 

27  55 

27  13 

26  33 

25  54 

25  14 

24  36 

2358 

23  21 

22  45 

22  09 

10   00 

lO 

27  17 

26  37 

25  57 

25  18 

24  40 

24  03 

23  26 

22  50 

22  15 

21  40 

21  05 

20  31 

10 

ao 

25  II 

24  33 

23  56 

23  19 

22  43 

22  08 

21  34 

21  01 

20  27 

19  55 

19  23 

18  51 

ao 

30 

22  58 

22  23 

21  48 

21  15 

20  42 

20  10 

19  38 

19  07 

18  37 

18  06 

17  37 

17  08 

30 

40 

20  41 

20  09 

19  37 

19  06 

18  36 

18  07 

1738 

17  10 

16  42 

16  14 

15  49 

15  22 

40 

60 

18  19 

17  49 

17  21 

16  53 

16  27 

16  00 

15  34 

15  09 

14  44 

14  20 

13  56 

13  33 

50 

11     OO 

15  51 

15  25 

15  01 

14  36 

14  13 

13  49 

13  28 

13  06 

12  44 

12  23 

12  02 

II  42 

11    00 

lO 

13  19 

1258 

12  37 

12  17 

II  57 

11  37 

II  18 

10  59 

10  41 

10  23 

10  05 

8  (^ 

9  49 

10 

ao 

10  45 

10  26 

10  09 

9  53 

9  37 

9  21 

9  04 

8  50 

835 

8  21 

7  53 

20 

30 

8  06 

752 

7  40 

7  27 

7  14 

7  03 

651 

6  39 

6  29 

617 

6  07 

556 

30 

40 

5  26 

5  '^ 

508 

4  59 

451 

4  43 

4  34 

4  27 

4  19 

4  13 

4  05 

3  58 

40 

50 

2  43 

2  38 

2  34 

2  30 

2  26 

2  22 

2  17 

2  13 

2  10 

2  07 

2  03 

I  59 

50 

la   OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  froraJNorth  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


55 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  12°. 

DECLINATION- 

-SAME  NAME  AS— I^ATITUDE. 

I^ATITUDE  12°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hoar  Angle. 

b. 

lu. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  f 

0  / 

0  ( 

0  / 

0  f 

h.     m. 

0 

OO 

0  CX) 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CX) 

0  00 

0  00 

0  00 

0  00 

0     00 

10 

2  51 

2  43 

236 

2  29 

2  24 

2  17 

2  II 

2  06 

2  01 

I  55 

I  50 

I  45 

10 

20 

5  40 

5  26 

5  12 

4  59 

4  46 

4  34 

4  22 

4  II 

4  00 

3  50 

3  40 

3  31 

20 

30 

8  26 

8  Q4 

7  44 

7  25 

7  07 

6  49 

632 

6  15 

5  59 

5  44 

5  29 

§  ^i 

30 

40 

11  09 

10  41 

10  14 

9  49 

9  25 

9  02 

8  39 

8  18 

7  57 

736 

7  17 

f  58 

40 

50 

13  46 

13  13 

12  40 

12  10 

"  39 

II  10 

10  44 

10  17 

9  50 

9  26 

9  02 

8  38 

50 

1 

OO 

16  17 

1538 

15  01 

14  25 

13  49 

13  16 

12  44 

12  12 

II  43 

II  13 

10  45 

10  17 

1     00 

lO 

18  42 

17  57 

17  14 

16  35 

15  55 

15  17 

14  41 

14  05 

13  31 

12  57 

12  24 

II  53 

10 

20 

21  00 

20  12 

19  25 

18  40 

17  56 

17  14 

16  33 

15  53 

15  15 

14  38 

14  01 

ij  26 

20 

30 

23  10 

22  18 

21  28 

20  38 

19  51 

19  05 

18  21 

17  37 

1656 

16  15 

15  34 

14  54 

30 

40 

25  12 

24  17 

23  24 

22  32 

21  40 

20  51 

20  04 

19  16 

■  18  31 

1748 

17  04 

16  21 

40 

50 

27  06 

26  08 

25  13 

24  17 

23  23 

22  31 

21  41 

20  51 

20  02 

19  15 

18  29 

17  45 

50 

2 

OO 

28  53 

27  52 

26  55 

25  57 

25  00 

24  06 

23  13 

22  20 

21  29 

20  40 

19  51 

19  03 

2     00 

lO 

30  31 

29  29 

28  29 

27  29 

26  31 

25  35 

24  39 

23  44 

22  51 

21  59 

21  08 

20  17 

10 

20 

32  03 

30  59 

29  57 

2856 

27  56 

26  57 

26  00 

25  03 

24  08 

23  15 

22  21 

21  29 

20 

30 

33  27 

32  22 

31  19 

30  17 

29  15 

28  15 

27  16 

26  18 

^5  ^l 

24  25 

23  29 

22  36 

30 

40 

34  44 

33  39 

34  48 

32  34 

31  31 

30  28 

29  26 

28  27 

27  27 

26  28 

2531 

24  34 

23  38 

40 

50 

35  54 

33  44 

32  39 

31  35 

30  33 

29  31 

28  31 

27  31 

26  32 

25  34 

24  37 

50 

3 

OO 

3658 

35  51 

34  46 

33  41 

32  37 

31  34 

30  32 

29  30 

28  29 

27  29 

26  30 

25  31 

3     00 

lO 

37  56 

36  49 

35  43 

3438 

33  33 

32  30 

31  27 

30  24 

29  23 

28  22 

27  22 

26  22 

10 

20 

3847 

37  41 

3636 

35  29 

34  24 

33  20 

32  17 

31  14 

30  II 

29  10 

28  09 

27  09 

20 

30 

39  35 

38  28 

37  22 

36  16 

35  II 

34  06 

33  03 

31  59 

30  56 

29  55 

28  52 

27  51 

30 

40 

40  i^ 

39  09 

38  03 

36  57 

35  52 

34  47 

33  43 

32  40 

31  37 

30  34 

29  32 

28  30 

40 

50 

40  53 

39  46 

3841 

37  35 

36  30 

35  25 

34  20 

33.16 

32  13 

31  II 

30  07 

29  05 

50 

4 

OO 

41  24 

40  18 

39  13 

38  06 

37  01 

35.57 

34  53 

33  49 

32  45 

31  42 

30  39 

29  36 

4     00 

lO 

41  51 

40  45 

39  41 

3835 

37  29 

36  25 

35  21 

34  17 

33  14 

32  II 

31  07 

30  05 

10 

20 

42  14 

41  08 

40  04 

38  59 

37  54 

36  50 

35  46 

34  42 

3338 

32  35 

•  31  32 

30  29 

ao 

30 

42  33 

41  27 

40  23 

39  18 

38  14 

37  10 

36  06 

35  03 

33  59 

32  55 

31  53 

30  50 

30 

40 

42  47 

41  43 

40  39 

39  34 

3830 

37  27 

36  23 

35  20 

3-1  16 

33  13 

32  10 

31  07 

40 

50 

42  58 

41  55 

40  51 

39  47 

3843 

37  40 

36  37 

35  33 

34  30 

33  27 

32  24 

31  21 

50 

5 

OO 

43  06 

42  02 

4059 

39  55 

3f  52 

37  50 

36  46 

35  43 

34  40 

33  37 

32  35 

31  32 

5     00 

lO 

43  09 

42  06 

41  04 

40  01 

3858 

37  56 

3653 

35  50 

34  47 

33  45 

32  43 

31  39 

10 

20 

43  10 

42  07 

41  05 

40  02 

39  00 

3758 

3656 

35  53 

34  51 

33  50 

32  47 

31  45 

20 

30 

43  06 

42  04 

41  03 

40  01 

3859 

37  58 

36  55 

35  54 

34  51 

33  50 

32  49 

31  46 

30 

40 

42  59 

41  58 

40  58 

39  56 

3855 

37  53 

36  52 

35  51 

34  49 

33  48 

32  46 

31  45 

40 

50 

42  50 

41  50 

40  50 

3948 

38  48 

37  47 

36  46 

35  45 

34  44 

33  43 

32  42 

31  41 

50 

6 

OO 

42  38 

41  38 

40  38 

39  37 

38  37 

37  37 

36  37 

35  35 

34  35 

33  35 

32  34 

31  33 

6     00 

lO 

42  21 

41  22 

40  23 

39  23 

38  23 

37  23 

36  24 

35  24 

34  24 

33  24 

32  24 

31  24 

10 

20 

42  02 

41  04 

40  06 

39  06 

3807 

37  °7 

36  08 

35  09 

34  09 

33  10 

32  10 

31  u 

20 

30 

41  40 

40  42 

39  44 

38  45 

37  47 

36^ 

35  49 

34  51 

33  52 

32  54 

31  54 

30  55 

30 

40 

41  16 

40  18 

39  21 

38  22 

37  24 

36  26 

35  29 

34  30 

33  32 

32  34 

31  35 

30  37 

40 

50 

40  47 

39  50 

38  53 

37  55 

36  59 

36  01 

35  03 

34  06 

33  09 

32  12 

31  13 

30  15 

50 

7 

OO 

40  16 

39  19 

38  23 

37  26 

3629 

35  33 

34  37 

33  40 

32  43 

31  46 

30  49 

29  52 

7     00 

lO 

39  41 

38  45 

37  49 

36  53 

35  58 

35  02 

34  06 

33  09 

32  13 

31  18 

30  22 

29  26 

10 

20 

39  04 

38  08 

37  14 

36  18 

35  23 

34  27 

33  33 

3238 

31  43 

30  47 

29  52 

28  56 

20 

30 

38  23 

3728 

36  35 

35  40 

34  45 

33  51 

32  57 

32  02 

31  08 

30  14 

29  19 

28  25 

30 

40 

37  39 

36  46 

35  52 

34  58 

34  04 

33  11 

32  17 

31  24 

30  30 

29  37 

28  44 

27  50 

40 

50 

36  53 

36  00 

35  07 

34  13 

33  21 

32  28 

31  36 

30  43 

29  51 

28  59 

28  05 

27  14 

50 

8 

OO 

36  02 

35  10 

34  18 

33  26 

32  33 

31  42 

30  51 

29  59 

29  08 

28  17 

27  25 

26  34 

8     00 

lO 

35  08 

34  18 

33  27 

32  35 

31  44 

30  54 

30  03 

29  12 

28  23 

27  32 

26  42 

25  52 

10 

20 

34  12 

33  22 

32  31 

31  41 

30  51 

30  02 

29  13 

28  23 

27  34 

26  45 

25  56 

25  07 

20 

30 

33  II 

32  22 

31  33 

30  43 

29  55 

29  07 

28  19 

27  30 

26  42 

25  55 

25  08 

24  20 

30 

40 

32  07 

31  19 

30  31 

29  44 

28  56 

28  09 

27  22 

26  35 

25  49 

25  03 

24  17 

23  30 

40 

50 

31  01 

30  14 

29  27 

28  40 

27  54 

27  09 

26  23 

25  37 

24  52 

24  07 

23  23 

22  38 

50 

9 

OO 

29  50 

29  04 

28  19 

27  33 

26  49 

26  04 

25  21 

24  36 

23  53 

23  10 

22  26 

21  43 

9     00 

lO 

28  35 

27  51 

27  07 

26  24 

25  40 

24  58 

24  15 

23  33 

22  51 

22  09 

21  28 

20  46 

10 

20 

27  18 

26  35 

25  53 

25  10 

24  30 

23  48 

23  08 

22  27 

21  47 

21  06 

20  26 

19  46 

20 

30 

25  57 

25  15 

24  35 

23  55 

IV^ 

22  36 

21  57 

21  18 

20  39 

20  01 

19  23 

18  46 

30 

40 

24  32 

23  53 

23  14 

22  36 

21  20 

20  43 

20  06 

19  30 

18  53 

18  17 

17  41 

40 

50 

23  04 

22  26 

21  50 

21  13 

20  38 

20  02 

19  27 

18  52 

18  18 

17  44 

17  09 

1636 

50 

lO 

OO 

21  32 

20  58 

20  23 

19  49 

19  15 

18  42 

18  08 

17  36 

17  03 

16  31 

15  59 

15  27 

10     00 

lO 

1958 

19  25 

1853 

18  21 

17  49 

17  18 

16  47 

16  17 

15  46 

15  16 

14  47 

14  i8 

10 

20 

18  21 

17  50 

17  20 

16  50 

16  21 

15  52 

15  24 

14  56 

14  28 

14  00 

13  33 

13  06 

20 

30 
40 

16  39 

16  12 

15  45 

15  17 

14  51 

14  25 

13  58 

13  32 

13  07 

12  42 

12  17 

II  52 

30 

14  56 

14  31 

14  06 

13  42 

13  18 

12  54 

12  31 

12  07 

II  45 

II  22 

II  00 

10  37 

40 

60 

13  10 

12  48 

12  26 

12  04 

II  43 

II  22 

II  01 

10  41 

10  20 

10  01 

9  40 

9  21 

50 

11 

OO 

II  22 

II  02 

10  43 

10  25 

10  07 

9  47 

9  30 

9  12 

855 

837 

8  20 

8  04 

11     00 

lO 

9  32 

9  15 

859 

8  44 

827 

8  13 

7  57 

7  43 

728 

7  13 

6  59 

6  45 

10 

20 

7  40 

7  26 

7  14 

7  00 

6  48 

635 

624 

6  II 

5  59 

5  47 

536 

5  25 

20 

30 

5  46 

536 

^^t 

5  17 

5  07 

4  57 

4  49 

4  39 

4  30 

4  21 

4  13 

4  05 

30 

40 

351 

3  45 

338 

3  31 

3  25 

3  19 

3  13 

3  07 

3  00 

2  54 

2  48 

2  43 

40 

50 

I  56 

I  52 

I  49 

I  46 

I  43 

I  40 

I  37 

I  33 

I  30 

I  27 

I  24 

I  21 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


56 


AZIMUTH  OR  TRUE  BEARING. 


1 

liATITUDE:  12°. 

DECI.INATION— SAME  NAME  AS- 

-LATITUJJE. 

liATITUDE  12°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

66° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

h.    in. 

O   ' 

0  ' 

0  1 

0  / 

0  / 

0  ) 

0  / 

0  f 

0  t 

0  / 

0  / 

h.     in. 

O     OO 

O  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

I  41 

I  37 

I  32 

I  27 

I  24 

I  20 

I  16 

I  II 

I  07 

I  04 

I  01 

10 

20 

3  21 

3  12 

3  03 

2  55 

2  46 

2  39 

2  30 

2  22 

2  16 

2  08 

2  00 

20 

30 

5  01 

4  47 

4  34 

4  21 

4  09 

356 

3  45 

3  34 

3  22 

3  12 

3  01 

30 

40 

6  39 

6  22 

6  03 

5  47 

5  30 

5  14 

4  59 

4  44 

4  29 

4  14 

5  16 

4  00 

40 

50 

S  15 

7  53 

7  32 

7  12 

6  51 

6  31 

6  12 

5  53 

5  34 

4  59 

50 

1     OO 

9  51 

9  24 

858 

8  34 

8  10 

7  46 

7  23 

7  00 

6  38 

6  18 

5  57 

1     00 

lO 

II  22 

10  52 

10  23 

9  54 

9  27 

8  59, 

8  34 

8  07 

I  42 

7  18 

653 

10 

20 

12  52 

12  17 

II  45 

II  13 

10  42 

10  12 

9  42 

9  13 

8  44 

8  17 

7  49 

20 

30 

14  17 

13  40 

13  04 

12  30 

II  56 

II  21 

10  48 

10  16 

9  44 

9  13 

843 

30 

40 

15  41 

15  01 

14  21 

13  43 

13  06 

12  29 

11  53 

II  18 

10  43 

10  09 

9  36 

40 

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17  00 

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12  04 

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16  34 

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25  23 

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23  13 

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22  30 

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29  12 

28  12 

27  13 

26  13 

25  13 

24  13 

23  13 

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21  13 

20  13 

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28  58 

27  58 

26  59 

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24  02 

23  03 

22  03 

21  03 

20  04 

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27  42 

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25  46 

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21  50 

20  52 

19  52 

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20  17 

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16  47 

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13  15 

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10  58 

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10  54 

10  29 

10  03 

938 

9  12 

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8  22 

20 

30 

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II  03 

10  40 

10  16 

9  53 

9  30 

9  06 

8  43 

8  20 

7  57 

7  34 

30 

40 

10  15 

9  54 

9  32 

9  II 

8  50 

8  30 

8  08 

7  48 

7  27 

706 

6  46 

40 

60 

9  02 

8  43 

8  24 

8  05 

7  46 

728 

7  10 

651 

633 

6  15 

5  57 

50 

11     OO 

7  47 

7  30 

7  14 

658 

6  42 

6  25 

6  ID 

5  54 

538 

5  23 

5  07 

11     00 
10 

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631 

6  17 

6  03 

5  49 

536 

5  23 

5  09 

4  56 

4  43 

4  30 

4  17 

20 

5  14 

5  02 

4  51 

4  41 

4  30 

4  19 

4  08 

3  57 

3  47 

336 

3  26 

20 
30 
40 
50 

30 

356 

3  47 

3  39 

3  31 

3  23 

3  15 

306 

258 

2  51 

2  43 

2  35 

40 

2  38 

2  32 

2  27 

2  21 

2  16 

2  10 

3  04 

I  59 

I  54 

I  49 

I  44 

50 

I  19 

I  16 

I  13 

1  10 

I  08 

I  05 

I  02 

I  00 

0  57 

0  54 

0  52 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  >'ortli  latitude,  when  the  star  is  rising  or  Eas  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  dliTerent  nalne,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


57 


AZIMUTH  OR  TRUE  BEARING. 


1 

LATITUDE  13°. 

DECLINATION- 

-SAME  NAME  AS— I^ATITUDE. 

LATITUDE  13°. 

Hour  Angle. 

24° 

26° 

26° 

27° 

28° 

28° 

30° 

31° 

32° 

33° 

340 

35° 

Hour  Angle. 

It.    m. 

o  / 

0  ' 

0  / 

0  ' 

0  ' 

0  t 

0  / 

0  ' 

0  ' 

0  ' 

0  ' 

0  / 

b.    m. 

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9  53 

9  07 

8  28 

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7  21 

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6  29 

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10 

20 

22  34 

20  44 

19  09 

17  44 

16  31 

15  25 

14  26 

13  34 

12  46 

12  02 

H  23 

10  46 

20 

30 

31  46 

29  26 

27  21 

25  30 

2351 

22  22 

21  02 

19  49 

18  42 

17  40 

16  44 

15  52 

30 

40 

39  17 

36  44 

34  23 

32  16 

30  21 

28  36 

27  00 

25  31 

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22  54 

21  44 

20  39 

40 

50 

45  18 

42  41 

40  15 

38  01 

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34  02 

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27  39 

26  19 

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53  54 

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34  12 

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20 

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54  37 

52  21 

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44  15 

42  26 

40  42 

39  04 

37  30 

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20 

30 

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49  02 

47  10 

45  23 

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44  34 

43  00 

41  28 

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50 

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61  06 

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57  15 

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53  35 

51  49 

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64  27 

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63  47 

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47  29 

10 

20 

66  30 

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59  48 

58  12 

5636 

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53  30 

51  58 

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49  02 

20 

30 

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62  25 

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56  14 

54.45 

53  16 

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50  24 

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63  14 

61  43 

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40 

50 

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57  32 

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54  50 

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69  05 

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63  36 

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59  32 

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10 

20 

69  19 

67  59 

6639 

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64  01 

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58  47 

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20 

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57  32 

56  20 

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63  51 

62  43 

61  35 

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58  12 

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20 

30 

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68  16 

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63  50 

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61  37 

60  30 

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58  16 

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30 

40 

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40 

50 

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49  36 

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41  28 

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50  01 

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45  20 

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41  46 

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48  24 

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41  06 

40  14 

39  23 

3832 

10 

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46  41 

45  44 

4448 

43  52 

42  58 

42  04 

41  10 

40  iS 

39  27 

3836 

37  47 

36  57 

20 

30 

44  50 

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42  58 

42  03 

41  09 

40  16 

39  24 

3833 

37  43 

36  53 

36  04 

35  16 

30 

40 

42  51 

41  55 

41  01 

40  07 

39  14 

3823 

37  31 

36  41 

35  53 

35  04 

34  17 

33  30 

40 

50 

40  45 

39  50 

3857 

38  04 

37  13 

36  22 

35  32 

34  43 

33  56 

33  09 

32  23 

3138 

50 

lO     OO 

3830 

37  36 

36  44 

35  53 

35  03 

34  14 

33  26 

32  39 

31  54 

31  09 

30  25 

2941 

10    00 

lO 

36  05 

35  14 

34  23 

33  34 

32  46 

31  59 

31  12 

30  27 

29  44 

29  01 

28  19 

2738 

10 

20 

33  32 

32  43 

31  53 

31  06 

30  21 

29  36 

28  52 

28  09 

27  29 

26  48 

26  09 

25  30 

20 

30 

30  49 

30  01 

29  16 

28  31 

2748 

27  06 

26  24 

25  45 

25  07 

24  29 

23  52 

23  16 

30 

40 

27  56 

27  II 

26  28 

25  47 

25  07 

24  29 

23  51 

23  14 

22  38 

22  04 

21  30 

20  56 

40 

50 

24  53 

24  12 

23  33 

22  55 

22  19 

21  44 

21  09 

20  36 

20  03 

19  33 

19*02 

18  33" 

50 

11     OO 

21  40 

21  04 

20  30 

19  55 

19  24 

18  53 

18  21 

1752 

17  24 

1656 

16  29 

16  02 

11     00 

lO 

18  20 

17  48 

17  18 

16  49 

16  22 

15  54 

15  28 

15  03 

14  39 

14  15 

13  52 

13  29 

10 

20 

14  50 

14  25 

14  00 

13  36 

13  13 

12  51 

12  29 

12  08 

II  49 

II  29 

II  II 

10  52 

20 

30 

II  14 

10  54 

10  35 

10  17 

10  00 

9  42 

9  26 

9  10 

8  55 

8  40 

8  26 

8  12 

30 

40 

7  33 

7  19 

706 

6  54 

6  42 

631 

6  19 

6  09 

5  58 

S  49 

5  39 

5  30 

40 

50 

3  47 

3  41 

3  34 

3  27 

3  22 

3  16 

3  10 

3  05 

3  00 

2  55 

2  50 

2  45 

50 

12     OO 

.  0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

\ 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


.   58 
AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  13°. 

DBCLINATION- 

-SAME  NAME  AS— LATITUDE. 

liATlTUDE!  13°. 

Hour 

Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

4S° 

46° 

47° 

Hour  Angle. 

li. 

m. 

o  / 

0  r 

0  ' 

0  / 

0  ' 

0   / 

0  / 

0  f 

0   / 

0  / 

0  / 

0  / 

li.    ni. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

5  09 

4  54 

4  39 

4  25 

4  13 

4  01 

3  49 

3  39 

3  29 

3  20 

3  II 

3  03 

10 

20 

10  12 

9  42 

9  13 

8  46 

8  21 

758 

7  35 

7  15 

6  56 

6  37 

6  20 

6  04 

20 

30 

15  04 

14  20 

1338 

12  59 

12  23 

II  49 

II  17 

10  47 

10  18 

9  51 

9  25 

9  01 

30 

40 

19  39 

18  43 

17  50 

17  01 

16  15 

15  31 

14  50 

14  II 

13  34 

12  59 

12  27 

11  55 

40 

50 

23  54 

22  48 

21  47 

20  49 

19  53 

19  02 

18  13 

17  26 

16  42 

16  00 

15  20 

14  41 

SO 

1 

OO 

27  49 

26  56 
30  OH 

25  27 

24  22 

23  20 

22  21 

21  24 

20  31 

19  40 

18  52 

18  06 

17  22 

1     00 

10 

31  21 

28  49 

27  37 

26  29 

25  26 

24  24 

23  25 

22-29 

21  36 

20  44 

19  55 

10 

20 

34  33 

33  12 

31  53 

30  38 

29  25 

28  17 

27  II 

26  07 

25  07 

24  08 

23  13 

22  19 

20 

30 

37  25 

36  01 

34  40 

33  22 

32  07 

30  55 

29  45 

2838 

27  33 

26  32 

25  32 

24  34 

30 

40 

3958 

3833 

37  10 

35  50 

34  33 

33  19 

32  07 

30  57 

29  50 

28  45 

27  42 

26  41 

40 

50 

42  14 

40  49 

39  26 

38  04 

36  46 

35  29 

34  16 

33  04 

31  54 

30  48 

29  42 

28  39 

SO 

2 

OO 

44  16 

42  50 

41  27 

40  05 

3845 

37  28 

36  14 

35  01 

33  49 

32  40 

31  34 

30  27 

2     00 

lO 

46  02 

44  37 

43  14 

41  53 

40  33 

39  16 

38  00 

36  46 

35  34 

34  24 

33  15 

32  08 

10 

20 

47  36 

46  12 

44  50 

43  29 

42  10 

40  53 

39  37 

38  22 

37  10 

35  59 

34  49 

33  40 

20 

30 

48  59 

47  36 

46  15 

44  55 

43  37 

42  20 

41  03 

39  49 

3836 

37  25 

36  15 

35  05 

30 

40 

50  12 

48  51 

47  30 

46  II 

44  53 

43  37 

42  21 

41  07 

39  54 

38  43 

37  33 

36  22 

40 

50 

51  15 

49  56 

4837 

47  19 

46  02 

44  45 

43  31 

42  17 

41  04 

39  53 

38  42 

37  32 

SO 

3 

OO 

52  IX 

50  52 

49  35 

48  18 

47  02 

45  47 

44  33 

43  20 

42  08 

40  56 

39  45 

3836 

3     00 

•lO 

52  59 

51  42 

50  26 

49  10 

47  55 

46  41 

45  28 

44  16 

43  03 

41  43 

40  43 

39  33 

10 

20 

53  40 

52  25 

51  10 

49  56 

48  42 

47  29 

46  17 

45  05 

43  54 

42  43 

41  33 

40  24 

20 

30 

54  16 

53  01 

51  48 

50  35 

49  22 

48  10 

46  59 

45  47 

44  37 

43  27 

42  18 

41  08 

30 

40 

54  45 

53  32 

52  20 

51  08 

49  57 

48  46 

47  35 

46  25 

45  16 

44  06 

42  57 

41  48 

40 

50 

55  10 

53  59 

52  48 

51  37 

50  26 

49  16 

48  06 

46  57 

45  48 

44  40 

43  32 

42  24 

SO 

4 

OO 

55  29 

54  20 

53  10 

52  01 

50  51 

49  42 

48  33 

47  25 

46  16 

45  08 

44  00 

42  53 

4     00 

lO 

55  45 

54  37 

53  27 

52  19 

51  10 

50  03 

48  54 

47  47 

46  39 

45  32 

44  25 

43  19 

10 

20 

55  56 

54  49 

53  42 

52  33 

51  26 

50  19 

49  12 

48  05 

4658 

45  52 

44  46 

43  40 

20 

30 

56  04 

54  57 

53  51 

52  44 

51  37 

50  31 

49  25 

48  19 

47  13 

46  07 

45  02 

43  57 

30 

40 

5^°Z 

55  02 

53  57 

52  51 

51  45 

50  40 

49  34 

48  29 

47  24 

46  19 

45  14 

44  09 

40  • 

SO 

5608 

55  03 

5358 

52  54 

51  49 

50  45 

49  39 

48  35 

47  31 

46  26 

45  22 

44  18 

SO 

o 

OO 

56  05 

55  01 

53  57 

52  53 

51  50 

50  46 

49  42 

48  38 

47  35 

46  30 

45  27 

44  23 

s   00 

lO 

55  58 

54  56 

53  53 

52  50 

51  47 

50  44 

49  40 

48  37 

47  34 

46  32 

45  29 

44  25 

10 

20 

55  49 

54  46 

53  45 

52  42 

51  41 

50  38 

49  35 

4833 

47  31 

46  29 

45  26 

44  24 

20 

30 

55  36 

54  35 

53  33 

52  32 

51  31 

50  30 

49  27 

48  26 

47  25 

46  22 

45  21 

44  19 

30 

40 

55  21 

54  21 

53  20 

52  19 

51  19 

50  18 

49  16 

48  15 

47  14 

46  12 

45  12 

44  II 

40 

50 

55  03 

54  03 

53  03 

52  03 

.51  02 

50  02 

49  02 

48  01 

47  01 

46  01 

45  00 

43  59 

SO 

6 

OO 

54  42 

53  43 

52  43 

51  43 

50  44 

49  44 

48  44 

47  45 

46  44 

45  44 

44  45 

43  45 

6     00 

lO 

M  18 

53  20 

52  20 

51  22 

50  22 

49  23 

48  24 

47  24 

46  25 

45  26 

44  26 

43  26 

10 

20 

53  52 

52  54 

51  54 

50  56 

49  57 

48  59 

48  00 

47  02 

46  03 

45  03 

44  05 

43  06 

20 

30 

53  22 

52  24 

51  26 

50  28 

49  30 

48  31 

47  34 

46  35 

45  37 

44  39 

43  41 

42  42 

30 

40 

52  49 

51  52 

50  54 

49  56 

48  59 

48  02 

47  03 

46  06 

4508 

44  10 

43  13 

42  15 

40 

60 

52  14 

51  16 

50  19 

49  23 

48  25 

47  28 

46  31 

45  34 

44  37 

43  39 

42  42 

41  45 

50 

7 

OO 

51  35 

5038 

49  41 

48  45 

47  48 

46  52 

45  55 

44  58 

44  02 

43  05 

42  10 

41  13 

7     00 

■  V 

lO 

50  52 

49  56 

49  01 

48  04 

47  08 

46  II 

45  15 

44  19 

43  24 

42  27 

41  32 

40  36 

10 

20 

50  08 

49  12 

48  16 

47  21 

46  25 

45  29 

44  33 

43  39 

42  43 

41  47 

40  52 

39  57 

20 

■30 

49  20 

48  24 

47  29 

46  34 

4538 

44  43 

43  48 

42  53 

41  58 

40  04 

40  09 

39  14 

30 

40 

48  27 

47  33 

4638 

45  43 

44  48 

43  53 

42  59 

42  04 

41  10 

40  17 

39  23 

38  29 

40 

SO 

47  33 

46  37 

45  43 

44  49 

43  54 

43  01 

42  07 

41  13 

40  20 

39  26 

3834 

37  40 

SO 

8 

OO 

46  33 

4538 

44  45 

43  51 

42  57 

42  04 

41  II 

40  18 

39  26 

38  32 

37  41 

3648 

8     00 

lO 

45  30 

44  37 

43  43 

42  50 

41  56 

41  05 

40  12 

39  20 

38  28 

37  35 

36  45 

35  53 

10 

20 

44  25 

43  30 

42  37 

41  45 

40  52 

40  00 

3908 

38  17 

37  26 

36  35 

35  45 

34  54 

20 

SO 

43  12 

42  20 

41  27 

40  36 

39  44 

3853 

38  01 

37  II 

36  21 

35  31 

34  42 

33  53 

30 

40 

41  57 

41  05 

40  13 

39  23 

38  32 

37  41 

36  51 

36  02 

35  13 

34  23 

33  35 

32  47 

40 

SO 

40  37 

39  45 

3855 

38  05 

37  15 

36  26 

35  37 

34  48 

34  00 

33  12 

32  25 

31  38 

SO 

9 

OO 

39  12 

38  22 

37  32 

36  43 

35  54 

35  06 

34  18 

33  31 

32  43 

31  57 

31  II 

30  25 

9     00 

10 

3M3 

36  53 

36  04 

35  16 

34  29 

33  42 

32  55 

32  10 

31  23 

30  39 

29  54 

29  09 

10 

20 

35  08 

35  21 

34  33 

33  47 

33  00 

32  14 

31  29 

30  45 

30  00 

29  16 

28  34 

27  51 

20 

30 

34  29 

33  43 

32  56 

32  II 

31  26 

30  42 

29  57 

29  15 

28  32 

27  50 

27  09 

26  28 

30 

40 

32  44 

31  59 

31  15 

3030 

2948 

29  05 

28  23 

27  41 

27  00 

26  20 

25  41 

25  00 

40 

60 

30  55 

30  10 

29  28 

28  46 

28  04 

27  24 

26  44 

26  04 

25  25 

24  46 

24  09 

23  31 

SO 

10 

OO 

^f  59 

28  18 

27  36 

26  57 

26  17 

25  38 

25  00 

24  22 

23  45 

23  09 

22  33 

21  58 

10       00 

lO 

2658 

26  19 

25  40 

25  02 

24  25 

23  49 

23  12 

22  37 

22  03 

21  28 

20  55 

20  22 

10 

20 

24  52 

24  15 

23  39 

23  03 

22  28 

21  54 

21  21 

20  48 

20  16 

19  44 

19  13 

18  42 

20 

30 

22  41 

22  06 

21  33 

21  00 

20  28 

19  56 

19  25 

18  55 

18  25 

17  56 

17  28 

16  59 

30 

40 

20  24 

19  53 

19  23 

18  52 

18  23 

17  55 

17  26 

16  59 

16  32 

16  05 

15  39 

15  14 

40 

SO 

18  03 

17  36 

17  08 

16  41 

16  15 

15  49 

15  24 

14  59 

14  35 

14  II 

13  49 

13  26 

SO 

11 

OO 

15  38 

15  13 

14  49 

14  26 

14  02 

13  40 

13  18 

12  56 

12  35 

12  15 

II  55 

II  35 

11     00 

lO 

13  08 

12  48 

12  27 

12  07 

II  47 

II  29 

II  10 

10  52 

10  34 

10  16 

9  59 

9  43 

10 

20 

10  35 

10  18 

10  01 

9  44 

9  30 

9  14 

8  59 

8  44 

8  30 

8  15 

8  02 

7  48 

20 

30 

7  59 

7  46 

7  33 

7  21 

7  09 

657 

6  45 

635 

6  23 

6  13 

6  02 

5  53 

30 

40 

5  20 

5  12 

5  03 

4  55 

4  47 

4  39 

4  31 

4  24 

4  16 

4  10 

4  03 

40 

SO 

2  41 

2  36 

2  32 

2  28 

2  23 

2  20 

2  16 

2  12 

2  08 

2  05 

2  01 

I  58 

SO 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


59 


AZIMUTH  OR  TRUE  BEARING. 


i^atituoe:  13°. 

DECLINATION- 

SAME  NAME  AS— LATITUDE. 

liATITUDE  13°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

5a° 

53° 

54° 

55° 

56° 

57° 

58° 

590 

Hour  Angle. 

b.    m. 

o  / 

0  / 

0  / 

0  / 

0  t 

0  / 

0  / 

0  / 

0  t 

0  t 

0 

0  / 

b.    m. 

0     OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

2  55 

2  47 

2  40 

2  33 

2  26 

2  21 

2  14 

2  08 

2  03 

I  58 

I  53 

I  47 

10 

ao 

5  48 

5  33 

5  18 

5  05 

4  53 

4  40 

4  28 

4  16 

4  04 

3  54 

3  44 

3  34 

ao 

30 

8  38 

8  16 

7  55 

7  35 

7 16 

657 

6  39 

6  22 

6  06 

5  50 

5  34 

5  20 

30 

40 

II  24 

10  56 

10  28 

10  02 

9  37 

9  13 

8  49 

8  27 

8  05 

7  44 

7  24 

7  04 

40 

50 

14  05 

13  30 

12  57 

12  24 

II 54 

II  24 

10  55 

10  28 

10  01 

9  35 

9  II 

8  47 

50 

1    oo 

16  40 

15  59 

15  20 

14  43 

14  07 

13  31 

12  58 

12  25 

II  54 

II  25 

10  55 

10  27 

1    00 

lO 

19  07 

18  21 

17  37 

16  55 

16 14 

15  35 

14  57 

14  20 

13  44 

13  10 

12  36 

12  04 

10 

20 

21  26 

20  37 

19  48 

19  02 

18 17 

17  33 

16  50 

16  09 

15  30 

14  52 

14  15 

13  38 

30 

30 

23  38 

22  45 

21  53 

21  02 

20  13 

19  25 

18  40 

17  55 

17  12 

16  30 

15  48 

15  09 

30 

40 

25  42 

24  44 

23  49 

22  55 

22  03 

21  13 

20  23 

19  35 

18  49 

18  03 

17  19 

16  36 

40 

50 

27  37 

26  37 

25  59 

24  43 

23  47 

22  54 

22  02 

21  II 

20  21 

19  33 

18  45 

17  59 

50 

a   oo 

29  24 

28  22 

27  21 

26  23 

25  25 

24  28 

23  34 

22  41 

21  48 

2057 

20  07 

19  18 

a   00 

lO 

31  03 

29  59 

28  57 

27  55 

2656 

25  58 

25  01 

24  06 

23  II 

22  18 

21  25 

20  34 

10 

ao 

32  34 

31  29 

30  25 

29  23 

28  21 

27  21 

26  23 

25  25 

24  28 

23  33 

22  38 

21  45 

ao 

30 

3358 

32  52 

31  46 

30  43 

29  40 

28  39 

27  38 

2639 

25  40- 

24  43 

23  47 

22  52 

30 

40 

35  14 

34  08 

33  02 

31  57 

30  53 

29  50 

28  49 

27  48 

26  48 

25  50 

24  52 

23  55 

40 

50 

36  24 

35  16 

34  09 

33  04 

31 59 

30  56 

29  54 

28  52 

27  51 

26  51 

25  52 

24  53 

50 

3     OO 

37  27 

36  20 

35  13 

34  06 

33  01 

31  56 

30  53 

29  51 

28  49 

27  48 

26  47 

2548 

3   00 

lO 

38  24 

37  16 

36  09 

35  03 

33  57 

32  52 

31  48 

30  45 

29  42 

28  40 

27  39 

26  38 

10 

ao 

39  16 

38  08 

37  00 

35  53 

34  48 

33  43 

32  38 

31  34 

30  31 

29  29 

28  27 

27  25 

ao 

30 

40  01 

3853 

37  46 

36  39 

35  33 

34  28' 

33  23 

32  19 

31  14 

30  12 

29  10 

28  07 

30 

'       40 

40  41 

39  33 

38  27 

37  20 

36 13 

3508 

34  03 

32  59 

31  55 

30  51 

29  48 

28  46 

40 

50 

41  15 

40  08 

39  02 

37  56 

36  49 

35  44 

34  39 

33  34 

32  30 

31  26 

30  23 

29  21 

50 

4     OO 

41  46 

40  39 

39  33 

38  27 

37  21 

36  16 

35  \l 

34  07 

33  02 

31  58 

3054 

29  51 

4   00 

lO 

42  12 

41  06 

40  00 

38  54 

37  48 

36  43 

3538 

34  33 

33  29 

32  25 

31  22 

30  18 

10 

ao 

42  33 

41  28 

40  23 

39  17 

38 II 

37  06 

36  01 

34  58 

33  53 

32  49 

31  45 

30  42 

ao 

30 

42  50 

41  45 

40  40 

39  35 

3!  35 

37  26 

36  22 

35  17 

34  13 

33  10 

32  06 

31  03 

30 

40 

43  04 

41  59 

40  54 

39  51 

38  46 

37  42 

3638 

35  34 

34  30 

33  26 

32  23 

31  19 

40 

so 

43  14 

42  10 

41  05 

40  02 

38  57 

37  54 

36  50 

35  47 

34  43 

33  39 

32  35 

31  32 

50 

5     oo 

43  20 

42  16 

41  13- 

40  09 

3906 

38  01 

3658 

35  55 

34  52 

33  49 

32  46 

31  43 

5   00 

lO 

43  22 

42  20 

41  16 

40  13 

39  10 

3807 

37  04 

36  02 

34  59 

33  56 

32  53 

31  50 

10 

ao 

43  21 

42  19 

41  16 

40  14 

39  II 

3809 

37  07 

36  04 

35  01 

33  58 

32  57 

31  54 

ao 

30 

43  17 

42  15 

41  13 

40  II 

39  08 

3806 

37  05 

36  03 

35  01 

33  59 

32  57 

31  55 

30 

40 

43  09 

42  09 

41  07 

40  05 

39  03 

38  02 

37  01 

35  59 

3458 

33  56 

32  54 

31  53 

40 

50 

42  58 

41  58 

40  57 

39  57 

38  55 

37  54 

36  54 

35  53 

34  52 

33  50 

32  49 

31  48 

50 

6     oo 

42  45 

41  45 

40  44 

39  44 

3843 

37  43 

36  43 

35  42 

34  41 

33  41 

32  40 

31  39 

6   00 

lO 

42  28 

41  28 

40  29 

39  28 

3829 

37  28 

36  29 

35  29 

34  29 

33  30 

32  29 

31  28 

10 

ao 

42  07 

41  08 

40  09 

39  10 

38  II 

37  12 

36  13 

35  13 

34  14 

33  15 

32  15 

31  16 

ao 

30 

41  44 

40  46 

39  47 

38  49 

37  50 

36  52 

35  53 

34  54 

33  56 

32  57 

31  58 

31  00 

30 

40 

41  18 

40  20 

39  23 

38  25 

37  27 

■36  28 

35  30 

34  33 

33  35 

32  37 

31  39 

30  40 

40 

50 

40  48 

39  52 

38  54 

37  57 

36  59 

36  02 

35  05 

3408 

33  10 

32  14 

31  16 

30  19 

50 

7     OO 

40  15 

39  19 

3823 

37  27 

36  30 

35  33 

34  37 

33  41 

32  44 

3148 

30  51 

2954 

7   00 

lO 

39  41 

38  45 

37  49 

36  54 

35  57 

35  02 

34  06 

33  10 

32  14 

31  19 

30  22 

29  27 

10 

ao 

39  02 

38  07 

37  12 

36  17 

35  22 

34  27 

33  32 

32  37 

31  42 

30  47 

29  52 

28  57 

ao 

30 

38  20 

37  26 

36  32 

3538 

34  43 

33  49 

32  56 

32  02 

31  07 

30  13 

29  19 

28  25 

30 

40 

37  35 

36  42 

35  49 

34  55 

34  02 

33  08 

32  15 

31  22 

30  29 

29  36 

2843 

27  50 

40 

50 

3648 

35  55 

35  02 

34  10 

33  18 

32  25 

31  33 

30  41 

29  49 

2856 

28  05 

27  13 

50 

8     OO 

35  57 

35  05 

34  13 

33  21 

32  30 

31  38 

30  47 

29  56 

29  05 

28  14 

27  23 

26  32 

8   00 

10 

35  02 

34  12 

33  21 

32  30 

31  39 

30  49 

29  59 

29  09 

28  19 

27  29 

26  39 

25  50 

10 

ao 

34  04 

33  14 

32  25 

31  35 

30  45 

29  57 

29  08 

28  19 

27  30 

26  42 

25  53 

25  05 

ao 

30 

33  03 

32  15 

31  26 

3038 

29  49 

29  02 

28  14 

27  26 

26  39 

25  51 

25  04 

24  17 

30 

40 

31  58 

31  II 

30  24 

29  37 

28  49 

28  03 

27  16 

26  30 

25  44 

24  59 

24  12 

23  26 

40 

50 

30  51 

30  05 

29  19 

28  33 

27  47 

27  02 

26  17 

25  32 

24  48 

2403 

23  19 

22  34 

50 

•»    oo 

29  40 

2855 

28  10 

27  26 

26  41 

2558 

25  14 

24  31 

23  48 

23  04 

22  22 

21  39 

9   00 

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28  25 

27  42 

26  59 

26  16 

25  33 

24  51 

24  09 

23  28 

22  45 

22  04 

21  23 

20  42 

10 

ao 

27  08 

26  26 

25  44 

25  03 

24  22 

23  41 

23  00 

22  21 

21  41 

21  01 

20  21 

19  43 

ao 

30 

25  47 

25  06 

24  26 

23  47 

23  07 

22  29 

21  50 

21  12 

20  34 

19  56 

19  18 

18  41 

30 

40 

24  21 

23  44 

23  05 

22  28 

21  50 

21  13 

20  36 

20  00 

19  24 

18  48 

18  12 

17  38 

40 

50 

22  53 

22  18 

21  41 

21  06 

20  30 

19  55 

19  20 

18  46 

18  12 

17  38 

17  05 

16  31 

50 

10   oo 

21  23 

20  49 

20  14 

19  41 
18  13 

19  08 

18  35 

18  02 

17  30 

16  58 

16  26 

15  54 

15  24 

10   00 

lO 

19  48 

19  17 

18  45 

17  42 

17  II 

16  41 

16  II 

15  41 

15  12 

14  42 

14  14 

10 

ao 

i8  12 

17  42 

17  12 

16  43 

16  14 

15  46 

15  18 

14  51 

14  23 

13  56 

13  29 

13  02 

ao 

30 

16  32 

16  04 

15  37 

15  II 

14  44 

14  19 

13  52 

13  27 

13  03 

12  38 

12  14 

II  49 

30 

40 

14  49 

14  24 

14  00 

13  36 

13  II 

12  48 

12  26 

12  03 

II  40 

II  18 

10  56 

10  34 

40 

50 

13  04 

12  41 

12  20 

II  58 

II  38 

II  16 

10  56 

10  37 

10  16 

9  56 

9  37 

9  18 

50 

11    oo 

II  16 

10  57 

10  38 

10  19 

10  01 

9  44 

9  26 

9  09 

851 

8  34 

8  18 

8  01 

11   00 

lO 

9  27 

9  10 

855 

8  40 

8  24 

8  09 

7  54 

7  39 

7  25 

7  10 

656 

6  42 

10 

ao 

7  35 

7  23 

7  09 

657 

6  45 

632 

6  21 

6  09 

5  57 

546 

5  34 

5  23 

ao 

30 

5  42 

5  33 

5  23 

5  14 

5  05 

4  55 

446 

4  38 

4  29 

4  20 

4  II 

4  03 

30 

40 

3  49 

3  43 

336 

3  29 

3  24 

3  17 

3  II 

3  05 

2  59 

2  53 

2  47 

2  42 

40 

50 

I  55 

I  52 

I  48 

I  45 

I  42 

I  38 

I  35 

I  33 

I  30 

I  27 

I  24 

I  21 

50 

la   oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

la   00 

In  Korth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
suppUment  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


60 


AZIMUTH  OR  TRUE  BEARING. 


liATlTUDE  13°. 

DECI.INATION-SAME  NAME  AS- 

-I^ATITUDE. 

liATITUDE  13°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

6»° 

70° 

Hour  Angle. 

b.    m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  '/ 

0  / 

Ii.    m. 

O     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

10 

I  42 

138 

I  33 

I  29 

I  24 

I  20 

I  17 

I  13 

I  09 

I  05 

I  01 

10 

20 

3  25 

3  15 

3  07 

2  57 

2  49 

2  41 

2  32 

2  25 

2  17 

2  10 

2  02 

20 

30 

506 

4  52 

438 

4  25 

4  13 

4  00 

3  48 

3  37 

3  25 

3  14 

3  02 

30 

.  40 

6  45 

6  27 

6  09 

5  52 

5  35 

5  19 

5  02 

4  47 

4  32 

4  17 

4  03 

40 

50 

8  23 

8  00 

7  39 

7  18 

6  57 

6  36 

6  16 

5  57 

538 

5  20 

5  02 

50 

1     OO 

9  59 

9  33 

9  06 

8  40 

8  16 

7  52 

7  29 

7  06 

6  44 

6  22 

6  00 

1    00 

lO 

II  32 

II  02 

10  32 

10  03 

9  34 

9  07 

839 

8  14 

7  47 

7  23 

658 

10 

80 

13  02 

12  28 

II  55 

II  22 

10  50 

10  20 

9  49 

9  19 

8  50 

8  22 

7  54 

20 

30 

14  30 

13  52 

13  15 

12  39 

12  04 

II  30 

10  56 

10  24 

9  51 

9  20 

848 

30 

40 

15  54 

15  12 

14  33 

13  54 

13  15 

12  39 

12  02 

II  26 

10  50 

10  16 

9  42 

40 

50 

17  14 

16  30 

15  47 

15  06 

14  24 

13  44 

13  04 

12  25 

II  48 

11  10 

10  34 

50 

2     00 

18  31 

17  44 

16  59 

16  14 

15  30 

14  47 

14  05 

13  23 

12  43 

12  03 

II  24 

2    00 

lO 

19  44 

18  55 

18  07 

17  19 

16  33 

15  48 

15  03 

14  19 

13  35 

12  53 

12  II 

10 

20 

20  53 

20  02 

19  II 

18  22 

17  33 

16  45 

1558 

15  12 

14  26 

13  42 

12  58 

20 

30 

21  58 

21  05 

20  12 

19  21 

18  29 

17  40 

16  51 

16  02 

15  15 

14  28 

13  42 

30 

40 

22  59 

22  04 

21  id 

20  17 

19  24 

18  32 

17  42 

16  51 

16  01 

15  12 

14  23 

40 

50 

23  57 

23  00 

22  04 

21  09 

20  14 

19  21 

18  28 

17  37 

16  44 

15  54 

15  03 

50 

3     OO 

24  50 

23  51 

22  55 

21  58 

21  03 

20  08 

19  13 

18  19 

17  26 

16  34 

15  41 

3     00 

lO 

25  39 

24  40 

23  42 

22  44 

21  47 

20  51 

19  54 

1859 

18  05 

17  11 

16  17 

10 

20 

26  24 

25  24 

24  25 

23  26 

22  27 

21  30 

20  33 

19  36 

18  40 

17  44 

16  50 

20 

30 

27  06 

26  05 

25  04 

24  05 

23  05 

22  07 

21  09 

20  II 

19  14 

18  18 

17  21 

30 

40 

27  43 

26  42 

25  41 

24  41 

23  40 

22  40 

21  42 

20  43 

19  44 

18  47 

17  49 

40 

SO 

28  18 

27  16 

26  14 

25  13 

24  12 

23  12 

22  12 

21  12 

20  13 

19  14 

18  16 

50 

4     00 

28  48 

27  46 

26  44 

25  42 

24  41 

23  40 

22  39 

21  38 

20  38 

19  39 

18  40 

4     00 

lO 

29  15 

28  12 

27  10 

26  08 

25  05 

24  05 

23  03 

22  02 

21  02 

20  02 

19  02 

10 

20 

29  39 

2836 

27  33 

26  30 

25  28 

24  27 

23  24 

22  23 

21  22 

20  21 

19  20 

20 

30 

29  59 

2855 

27  53 

26  50 

25  48 

24  46 

23  44 

22  42 

21  40 

20  39 

19  38 

30 

40 

30  16 

29  12 

28  10 

27  07 

26  04 

25  02 

24  00 

22  58 

21  56 

20  54 

19  52 

40 

50 

30  29 

29  26 

28  24 

27  21 

26  18 

25  16 

24  13 

23  II 

22  09 

21  06 

20  05 

50 

5     00 

30  39 

29  37 

28  35 

27  31 

26  29 

25  26 

24  24 

23  22 

22  19 

21  17 

20  15 

00 

10 

30  47 

29  44 

28  42 

27  39 

2636 

25  34 

24  32 

23  30 

22  27 

21  25 

20  22 

10 

20 

30  52 

29  49 

28  47 

27  44 

26  42 

25  39 

24  38 

23  35 

22  32 

21  31 

20  28 

20 

30 

30  52 

29  50 

28  48 

27  46 

26  44 

25  42 

24  40 

23  38 

22  36 

21  34 

20  31 

30 

40 

30  51 

29  49 

28  47 

27  46 

26  44 

25  42 

24  40 

23  39 

22  37 

21  35 

20  33 

40 

50 

30  46 

29  45 

28  44 

27  42 

26  41 

25  39 

24  38 

23  36 

22  35 

21  34 

20  32 

50 

6     OO 

30  39 

29  38 

28  37 

27  37 

26  36 

25  35 

24  34 

23  33 

22  31 

21  30 

20  29 

6     00 

lO 

30  29 

29  29 

28  28 

27  28 

26  28 

25  27 

24  26 

23  26 

22  25 

21  25 

20  23 

10 

20 

30  16 

29  15 

28  16 

27  17 

26  17 

25  17 

24  17 

23  17 

22  17 

21  17 

20  16 

20 

30 

30  00 

29  01 

28  03 

27  04 

26  04 

25  05 

24  06 

23  07 

22  07 

21  07 

20  07 

30 

40 

29  42 

28  44 

27  45 

26  47 

25  48 

24  49 

23  51 

22  53 

21  54 

20  54 

19  55 

40 

SO 

29  21 

28  23 

27  26 

26  29 

25  31 

24  33 

23  34 

22  37 

21  39 

20  40 

19  42 

50 

7           OO 

2858 

28  00 

27  04 

26  07 

25  10 

24  13 

23  16 

22  19 

21  22 

20  24 

19  27 

7     00 

lO 

28  31 

27  34 

26  39 

25  43 

24  47 

23  51 

22  55 

21  59 

21  02 

20  06 

19  09 

10 

20 

28  02 

27  06 

26  12 

25  17 

24  22 

23  27 

22  32 

21  35 

20  41 

19  46 

18  51 

20 

30 

27  31 

26  36 

25  43 

24  49 

23  55 

23  01 

22  07 

21  12 

20  18 

19  24 

18  29 

30 

40 

26  57 

26  03 

25  II 

24  18 

23  25 

22  32 

21  39 

20  46 

19  53 

19  00 

18  07 

40 

^o 

26  21 

25  28 

24  37 

23  45 

22  53 

22  01 

21  10 

20  17 

19  25 

18  33 

17  42 

50 

»           OO 

25  41 

24  50 

24  01 

23  10 

22  17 

21  28 

20  37 

19  47 

1856 

18  06 

17  14 

8     00 

lO 

25  00 

24  10 

23  22 

22  32 

21  42 

20  53 

20  04 

19  14 

18  25 

17  36 

16  46 

10 

20 

24  16 

23  28 

22  40 

21  52 

21  04 

20  16 

19  28 

18  40 

17  52 

17  04 

16  16 

20 

30 

23  30 

22  43 

21  57 

21  10 

20  23 

19  37 

18  50 

18  04 

17  18 

16  31 

15  44 

30 

40 

22  41 

21  56 

21  II 

20  26 

19  41 

18  56 

18  II 

17  26 

16  41 

15  56 

15  II 

40 

50 

21  50 

21  06 

20  23 

19  39 

1856 

18  13 

17  29 

16  46 

16  02 

15  20 

14  36 

50 

9     OO 

20  57 

20  14 

19  33 

18  52 

18  09 

17  27 

16  46 

16  05 

15  23 

14  41 

14  00 

9     00 

lO 

20  02 

19  21 

18  41 

18  01 

17  20 

16  41 

16  01 

15  21 

14  41 

14  02 

13  22 

10 

20 

19  04 

18  24 

17  47 

17  08 

16  31 

15  52 

15  14 

14  36 

13  58 

13  21 

12  43 

20 

30 

18  04 

17  27 

16  50 

16  14 

1538 

15  02 

14  26 

13  50 

13  14 

12  38 

12  02 

30 

40 

17  02 

16  27 

15  53 

15  18 

14  44 

14  09 

13  35 

13  01 

12  28 

II  54 

II  20 

40 

50 

15  58 

15  25 

14  53 

14  21 

13  48 

13  16 

12  44 

12  12 

II  40 

ir  08 

10  37 

50 

lO     OO 

14  53 

14  22 

13  52 

13  21 

12  51 

12  21 

II  51 

II  22 

10  51 

10  22 

9  53 

10   00 

lO 

13  45 

13  16 

12  48 

12  20 

II  52 

II  25 

10  57 

10  29 

:o  02 

9  35 

9  07 

10 

20 

12  35 

12  09 

II  43 

II  18 

10  52 

10  26 

10  02 

936 

9  II 

846 

8  21 

20 

30 

II  25 

II  01 

ID  38 

10  13 

9  51 

9  28 

9  04 

8  42 

8  19 

756 

7  34 

30 

40 

10  12 

9  51 

9  30 

9  09 

8  49 

8  27 

8  07 

7  46 

7  25 

7  05 

6  45 

40 

50 

859 

8  40 

.8  21 

8  03 

7  45 

726 

708 

6  50 

632 

6  14 

556 

50 

11     OO 

7  44 

728 

7  12 

656 

6  39 

6  24 

6  09 

5  52 

538 

5  22 

506 

11     00 

lO 

6  28 

6  14 

6  01 

5  48 

5  34 

5  21 

5  09 

455 

4  42 

4  29 

4  17 

10 

20 

5  12 

5  01 

4  50 

4  40 

4  29 

4  16 

4  06 

356 

3  46 

336 

3  26 

20 

30 

3  54 

3  46 

338 

3  30 

3  22 

3  14 

3  06 

258 

2  50 

2  42 

2  34 

30 

40 

2  37 

2  31 

2  26 

2  20 

2  14 

2  09 

2  04 

I  59 

I  54 

I  49 

I  43 

40 

50 

I  18 

I  16 

I  13 

I  10 

I  07 

I  04 

I  02 

0  59 

0  57 

0  54 

0  51 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  oo' 

0  60 

0  00 

0  00 

0  00 

12     00 

In  Korth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


61 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  14°. 

DECI.INATION- 

SAME  NAME  AS-IvATITUDE. 

IiATItude;  14°. 

Hour  An 

gle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hoar  Angle. 

li. 

Ul. 

o  r 

0  1 

0  1 

0  / 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  1 

b.    m. 

O 

OO 

O  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

12  54 

11  42 

10  40 

948 

9  02 

8  22 

7  48 

7  17 

6  49 

625 

6  02 

5  41 

10 

20 

24  32 

22  24 

20  34 

18  59 

17  36 

16  22 

15  16 

14  18 

13  26 

1237 

II  54 

II  15 

20 

30 

34  II 

31  32 

29  14 

27  09 

25  19 

23  40 

22  10 

20  49 

19  36 

18  30 

17  28 

16  32 

30 

40 

41  53 

39  02 

36  28 

3408 

32  01 

30  06 

28  20 

26  44 

25  16 

23  54 
2847 

22  39 

21  29 

40 

50 

47  52 

45  01 

42  24 

3958 

37  44 

35  40 

33  45 

31  58 

30  19 

27  22 

26  01 

50 

1 

OO 

52  32 

49  47 

47  12 

44  48 

42  32 

40  24 

3824 

36  32 

34  47 

33  08 

31  35 

30  08 

1     00 

lO 

56  12 

53  36 

51  07 

48- 46 

46  31 

44  24 

42  23 

40  30 

38  41 

3658 

35  22 

33  50 

10 

20 

59  06 

56  39 

54  17 

52  01 

49  50 

47  46 

45  46 

43  53 

42  04 

40  20 

3841 

37  07 

20 

30 

61  25 

59  06 

56  52 

54  42 

5238 

50  37 

48  40 

46  48 

45  00 

43  16 

41  36 

40  01 

30 

40 

63  17 

61  07 

59  00 

5656 

54  56 

53  00 

51  06 

49  17 

47  31 

45  49 

44  09 
46  23 

42  35 

40 

• 

50 

64  47 

62  45 

60  44 

5847 

56  52 

55  00 

53  II 

51  25 

49  41 

48  01 

44  49 

50 

2 

OO 

66  01 

64  05 

62  II 

60  19 

58  30 

56  43 

5458 

53  15 

51  34 

49  56 

48  20 

46  47 

2     00 

lO 

67  01 

65  II 

63  23 

61  37 

59  53 

58  09 

56  27 

54  48 

53  10 

51  35 

50  01 

4830 

10 

20 

67  49 

6605 

64  23 

62  42 

61  01 

59  22 

57  44 

5609 

54  34 

53  01 

51  30 

50  01 

20 

30 

68  29 

66  49 

65  II 

63  35 

61  59 

60  24 

58  50 

57  17 

55  45 

54  15 

52  46 

51  19 

30 

40 

69  00 

67  25 

65  52 

64  19 

62  47 

61  15 

59  44 

58  15 

5646 

55  19 

53  52 

5227 

40 

50 

69  25 

67  55 

66  25 

6456 

6328 

61  59 

60  32 

59  05 

57  39 

56  14 

54  50 

53  26 

50  1 

3 

OO 

69  44 

68  18 

6652 

65  26 

64  00 

62  35 

61  II 

59  47 

58  24 

57  01 

55  39 

54  18 

3     00 

lO 

69  59 

6835 

67  13 

65  50 

64  27 

63  05 

61  43 

60  21 

59  00 

57  40 

56  20 

55  01 

10 

20 

70  09 

68  49 

67  28 

66  08 

64  49 

6328 

62  09 

60  50 

59  32 

58  13 

56  55 

5538 

20 

30 

70  16 

6858 

67  39 

66  22 

65  05 

63  47 

62  30 

61  14 

59  57 

5840 

57  24 

56  09 

30 

40 

70  19 

69  03 

67  47 

6632 

65  16 

64  01 

62  47 

61  32 

60  17 

59  03 

5748 

56  34 

40 

50 

70  18 

69  04 

67  51 

66  38 

65  25 

64  II 

62  59 

61  46 

60  32 

59  20 

58  07 

56  55 

50 

4 

OO 

70  15 

69  04 

67  52 

6641 

65  30 

64  18 

63  07 

61  56 

60  44 

59  33 

5821 

57 II 

4     00 

lO 

70  09 

6859 

67  50 

66  40 

65  30 

64  20 

63  10 

62  01 

60  51 

59  42 

5832 

57  23 

10 

20 

70  00 

6852 

67  44 

66  36 

6528 

64  10 

63  12 

62  03 

60  55 

59  47 

58  39 

57  31 

20 

30 

69  50 

6843 

6736 

6630 

65  23 

64  17 

63  09 

62  02 

60  56 

59  49 

58  41 

57  35 

30 

40 

69  37 

68  31 

67  26 

66  20 

65  15 

64  09 

63  Q4 

61  59 

60  52 

59  47 

5841 

57  35 

40 

50 

69  22 

68  17 

67  13 

66  09 

65  05 

64  00 

6256 

61  51 

60  46 

59  42 

5837 

57  32 

50 

5 

OO 

6q  04 

68  01 

6658 

6555 

64  52 

63  48 

62  45 

61  41 

60  38 

59  34 

58  30 

57  26 

5     00 

lO 

68  45 

67  43 

66  41 

6538 

6437 

63  34 

62  31 

61  29 

60  26 

59  23 

58  20 

57 17 

10 

20 

68  24 

67  22 

66  21 

65  20 

6418 

63  16 

62  14 

61  13 

60  II 

59  10 

58  08 

57  06 

20 

30 

68  00 

67  00 

65  59 

6458 

6358 

62  57 

6i  56 

60  55 

59  54 

5853 

57  51 

56  50 

30 

40 

67  35 

66  35 

65  35 

64  35 

6336 

62  35 

61  35 

60  35 

59  34 

5833 

57  33 

56  32 

40 

50 

67  08 

66  08 

6509 

64  09 

63  10 

62  II 

61  II 

60  12 

59  II 

58  12 

57  12 

56  12 

50 

6 

OO 

66  38 

65  40 

64  40 

63  41 

62  43 

61  44 

6045 

5946 

5846 

57  47 

5648 

55  49 

6     00 

10 

66  06 

65  08 

64  09 

63  II 

62  13 

61  14 

60  15 

59  17 
58-46 

58  19 

57  20 

56  21 

55  23 

10 

20 

65  32 

64  35 

63  37 

62  39 

61  41 

60  42 

59  44 

5748 

56  50 

55  52 

54  53 

20 

30 

64  57 

63^58 

63  01 

62  03 

61  06 

60  08 

59  10 

58  12 

57  14 

56  17 

55  19 

54  21 

30 

40 

64  18 

63  20 

62  23 

61  26 

60  28 

59  30 

58  33 

57  36 

5638 

55  41 

54  44 

53  47 

40 

50 

63  37 

62  39 

61  42 

60  46 

5948 

58  51 

57  54 

5657 

56  00 

55  03 

54  05 

53  09 

50 

7 

OO 

62  53 

61  56 

6058 

60  02 

59  05 

5808 

57  12 

56  15 

55  18 

54  21 

53  25 

52  29 

7     00 

lO 

62  06 

61  09 

60  12 

59  15 

58  19 

57  23 

56  26 

55  30 

54  33 

53  37 

52  41 

51  45 

10 

20 

61  17 

60  20 

59  23 

58  27 

57  31 

56  33 

55  37 

54  42 

53  45 

52  49 

51  53 

50  57 

20 

30 

60  25 

59  28 

58  31 

57  34 

5638 

55  42 

54  45 

53  50 

52  53 

51  58 

51  03 

5008 

30 

40 

59  29 

58  32 

57  35 

56  39 

55  43 

54  46 

53  50 

52  55 

51  59 

51  04 

50  09 

49  14 

40 

50 

58  30 

57  33 

56  35 

55  39 

54  43 

53  47 

52  52 

51  56 

51  01 

50  06 

49  II 

48  16 

50 

8 

OO 

57  26 

56  29 

55  33 

54  37 

53  40 

52  44 

51  49 

50  53 

49  59 

49  04 

48  09 

47  15 

8     00 

lO 

56  19 

55  22 

54  25 

53  29 

52  33 

51  38 

50  43 

4948 

48  52 

47  59 

47  05 

46  II 

10 

20 

55  08 

54  II 

53  14 

52  18 

51  23 

50  27 

49  32 

48  37 

47  43 

46  49 

45  56 

45  03 

SO 

30 

53  52 

52  55 

51  58 

51  02 

50  07 

49  12 

48  17 

47  22 

46  29 

45  35 

44  43 

43  50 

30 

40 

52  31 

51  34 

50  37 

49  41 

48  46 

47  51 

46  57 

46  03 

45  10 

44  17 

43  24 

42  33 

40 

50 

51  05 

50  07 

49  II 

48  15 

47  21 

46  26 

45  32 

44  39 

43  46 

42  53 

42  02 

41  II 

50 

9 

OO 

49  33 

4836 

47  40 

46  44 

45  50 

44  56 

44  03 

43  10 

42  17 

41  26 

4035 

39  45 

9     00 

10 

47  54 

46  58 

46  01 

45  08 

44  14 

43  20 

42  27 

41  35 

40  43 

39  53 

3903 

38  14 

10 

20 

46  10 

45  14 

44  18 

43  24 

42  31 

41  38 

40  46 

39  55 

39  05 

38  15 

37  26 

3638 

20 

30 

44  17 

43  22 

42  27 

41  34 

4042 

39  50 

38  59 

38  09 

37  20 

36  31 

35  43 

34  57 

30 

40 

42  18 

41  24 

40  30 

3938 

3847 

37  56 

37  06 

36  18 

35  29 

34  42 

33  56 

33  10 

40 

50 

40  13 

39  18 

38  26 

37  34 

36  44 

35  55 

35  07 

34  20 

33  33 

32  47 

3203 

31  19 

50 

10 

OO 

37  56 

37  «>4 

36  13 

35  24 

34  35 

33  47 

33  01 

32  15 

31  31 

30  46 

30  04 

29  22 

10     00 

lO 

35,31 

34  41 

33  52 

33  04 

32  18 

31  32 

30  48 

30  04 

29  21 

28  40 

27  59 

27  19 

10 

20 

32  59 

32  10 

31  23 

3038 

29  54 

29  10 

28  29 

27  47 

27  07 

26  27 

25  49 

25  II 

20 

30 

30  17 

29  31 

28  47 

28  03 

27  22 

26  41 

26  01 

25  24 

24  46 

24  09 

23  33 

22  58 

30 

40 

27  24 

26  43 

26  01 

25  22 

24  43 

24  05 

23  28 

22  53 

22  18 

21  45 

21  12 

20  40 

40 

50 

24  24 

23  45 

23  08 

22  32 

21  57 

21  22 

20  50 

20  17 

19  46 

19  16 

1847 

18  17 

50 

11 

OO 

21  14 

20  40 

20  07 

19  34 

19  03 

18  33 

18  03 

17  35 

17  08 

16  42 

16  15 

15  49 

11     00 

lO 

17  57 

17  27 

16  58 

16  30 

16  04 

15  37 

15  12 

1448 

14  24 

14  01 

13  39 

13  19 

10 

20 

14  31 

14  06 

13  43 

13  21 

12  58 

12  37 

12  16 

II  57 

II  37 

II  19 

II  01 

10  43 

20 

30 

10  59 

10  41 

10  22 

10  05 

9  48 

9  31 

9  16 

859 

8  46 

831 

8  18 

8  05 

SO 

40 

7  23 

7  10 

657 

6  46 

6  34 

623 

6  12 

6  02 

5  52 

5  43 

5  33 

5  25 

40 

50 

3  42 

3  35 

3  30 

3  24 

3  18 

3  12 

3  07 

3  02 

256 

2  51 

2  47 

2  43 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  <x> 

0  00 

0  00 

0  00 

0  00 

0  00 

tf  00 

12     00 

In  \orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising;  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


62 


AZIMUTH  OR  TRUE  BEARING. 


latitude:  14°. 

DECLINATION- 

-SAME  NAME  AS— I.ATITUDE. 

liATITUDE  14°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

4S° 

46° 

47° 

Hour  Angle. 

Ii.    m. 

o  / 

0  1 

0  / 

0  1 

0  / 

0  / 

0  ' 

0  t 

0  t 

0  / 

0  / 

0  / 

li.    m. 

0     OO 

O  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

5  23 

5  05 

4  49 

4  35 

t  ^' 

4  08 

3  57 

3  46 

3  35 

3  26 

3  16 

3  07 

10 

SO 

10  38 

10  05 

9  34 

9  05 

839 
12  48 

8  14 

7  50 

7  29 

7  09 

6  49 

6  31 

6  14 

20 

30 

15  41 

14  53 

14  08 

13  27 

12  12 

II  38 

II  06 

ID  36 

10  08 

9  41 

9  16 

30 

40 

20  25 

19  24 

18  28 

17  36 

16  47 

16  00 

15  17 

14  36 

13  57 

13  20 

12  46 

12  13 

40 

SO 

24  47 

23  37 

22  31 

21  30 

20  32 

19  37 

1845 

17  57 

17  10 

16  26 

15  43 

15  04 

50 

1     OO 

28  46 

27  29 

26  16 

25  07 

24  01 

22  59 

22  01 

21  05 

20  12 

19  21 

1833 

17  47 

1    00 

lO 

32  23 

31  00 

29  41 

28  28 

27  i6 

26  08 

25  03 

24  03 

23  04 

22  07 

21  13 

20  22 

10 

30 

35  37 

34  10 

32  48 

31  30 

30  14 

29  02 

27  53 

26  47 

25  44 

24  43 

23  45 

22  49 

ao 

30 

38  29 

37  00 

3536 

34  15 

32  56 

31  41 

30  29 

29  19 

28  12 

27  08 

26  05 

25  06 

30 

40 

41  02 

39  32 

38  07 

36  44 

35  23 

34  06 

32  52 

31  39 

30  29 

29  22 

28  17 

27  14 

40 

50 

43  16 

41  47 

40  21 

38  57 

37  36 

36  17 

35  01 

33  46 

32  35 

31  25 

30  18 

29  12 

50 

2     OO 

45  16 

43  47 

42  21 

40  57 

39  35 

38  16 

36  59 

35  43 

34  30 

33  19 

32  10 

31  03 

a   00 

lO 

47  02 

45  33 
47  06 

44  07 

42  44 

41  22 

40  02 

38  44 

37  28 

36  15 

35  03 

33  52 

32  43 

10 

20 

48  32 

45  41 

44  19 

42  57 

41  38 

40  20 

39  04 

37  49 

36  37 

35  25 

34  15 

20 

30 

49  53 

48  28 

47  05 

45  43 

44  23 

43  04 

41  46 

40  30 

39  15 

38  02 

36  50 

35  40 

30 

40 

51  03 

49  40 

48  18 

46  57 

45  37 

44  20 

43  03 

41  47 

40  32 

39  19 

3807 

3656 

40 

50 

52  04 

50  42 

49  22 

48  02 

46  44 

45  27 

44  II 

42  55 

41  41 

40  28 

39  16 

38  05 

50 

3     OO 

52  56 

51  37 

50  18 

49  00 

47  43 

46  26 

45  II 

43  57 

42  43 

41  30 

40  18 

39  07 

3    00 

lO 

53  42 

52  24 

51  07 

49  50 

48  34 

47  19 

46  04 

44  51 

4338 

42  26 

41  13 

4003 

10 

20 

54  21 

53  04 

51  49 

50  33 

49  19 

48  05 

46  51 

45  38 

44  25 

43  14 

42  03 

40  53 

20 

30 

54  54 

53  38 

52  24 

51  II 

49  57 

48  44 

-^z  31 

46  19 

45  08 

43  57 

42  47 

41  36 

30 

40 

55  21 

54  07 

52  55 

51  42 

50  30 

49  18 

48  06 

46  55 

45  44 

44  34 

43  25 

42  15 

40 

50 

55  43 

54  31 

53  19 

52  08 

50  57 

49  46 

48  36 

47  25 

46  15 

45  06 

43  57 

42  48 

50 

4     OO 

56  00 

54  50 

53  40 

52  29 

51  20 

50  09 

49  00 

47  51 

46  42 

45  34* 

44  25 

43  17 

4     00 

10 

56  13 

55  04 

53  55 

52  46 

51  38 

50  28 

49  20 

48  12 

47  03 

45  56 

44  49 

43  41 

10 

ao 

56  23 

55  15 

54  07 

52  59 

51  51 

5043 

49  36 

48  28 

47  21 

46  14 

45  07 

44  01 

20 

30 

5628 

55  20 

54  14 

53  07 

52  00 

50  54 

49  47 

48  40 

47  34 

46  28 

45  22 

44  16 

30 

40 

56  29 

55  23 

54  18 

53  12 

52  06 

51  00 

49  55 

48  48 

47  43 

46  38 

45  32 

44  27 

40 

60 

5628 

55  23 

54  18 

53  14 

52  08 

51  03 

49  58 

48  54 

47  49 

46  45 

45  39 

44  35 

50 

5     OO 

56  23 

55  ^8 

54  14 

53  II 

52  07 

51  03 

49  59 

4855 

47  51 

46  47 

45  42 

44  38 

5     00 

lO 

56  14 

55  12 

54  08 

53  05 

52  02 

50  59 

49  56 

48  52 

47  49 

46  46 

45  42 

44  39 

10  . 

20 

56  03 

55  01 

53  59 

52  56 

51  54 

50  51 

49  49 

48  47 

47  44 

46  42 

45  39 

44  36 

20 

30 

55  49 

54  48 

53  46 

52  45 

51  42 

50  41 

49  39 

4837 

47  35 

46  34 

45  32 

44  30 

30 

40 

55  32 

54  31 

53  30 

52  30 

51  29 

50  28 

49  26 

48  25 

47  24 

46  23 

45  22 

44  20 

40 

50 

55  12 

54  12 

53  12 

52  12 

51  11 

50  10 

49  10 

48  09 

47  09 

46  09 

4508 

44  08 

50 

6     OO 

54  49 

53  50 

52  51 

51  50 

50  51 

49  51 

48  52 

47  52 

46  52 

45  52 

44  52 

43  51 

6     00 

lO 

54  23 

53  25 

52  26 

51  27 

50  28 

49  29 

48  29 

47  30 

46  31 

45  31 

44  32 

43  32 

10 

20 

53  55 

52  56 

51  58 

51  00 

50  01 

49  02 

48  04 

47  05 

46  07 

45  08 

44  09 

43  10 

20 

30 

53  23 

52  25 

51  28 

50  31 

49  32 

48  33 

47  36 

46  38 

45  40 

44  42 

43  43 

42  46 

30 

40 

52  49 

51  52 

50  55 

49  58 

49  00 

48  03 

47  05 

46  07 

45  10 

44  13 

43  15 

42  17 

40 

50 

52  12 

51  15 

50  18 

49  22 

48  25 

47  27 

46  31 

45  34 

44  37 

43  40 

42  43 

41  46 

50 

7     OO 

51  31 

50  35 

49  39 

48  43 

47  46 

46  50 

45  53 

44  57 

44  00 

43  05 

42  09 

41  12 

7     00 

lO 

50  49 

49  52 

48  56 

48  01 

47  05 

46  09 

45  13 

44  17 

43  22 

42  27 

41  30 

40  35 

10 

ao 

50  02 

49  06 

48  II 

47  16 

46  21 

45  24 

44  29 

43  34 

42  40 

41  44 

40  49 

39  56 

20 

30 

49  12 

48  16 

47  22 

46  27 

45  32 

44  37 

43  43 

42  48 

41  54 

41  00 

40  06 

39  12 

30 

40 

48  19 

47  24 

46  30 

45  35 

44  41 

43  47 

42  53 

41  59 

41  05 

40  12 

39  18 

38  24 

40 

50 

47  22 

46  28 

45  34 

44  40 

43  46 

42  52 

41  59 

41  06 

40  13 

39  21 

38  28 

37  35 

50 

8     OO 

46  21 

45  28 

44  35 

43  41 

42  48 

41  55 

41  03 

40'  10 

39  17 

38  26 

37  34 

36  43 

8     00 

lO 

45  18 

44  25 

43  32 

42  40 

41  47 

40  55 

40  03 

39  " 

38  20 

37  28 

36  37 

35  46 

10 

ao 

44  10 

43  16 

42  25 

41  32 

40  41 

39  50 

3859 

38  08 

37  18 

36  27 

35  37 

34  47 

20 

30 

42  57 

42  05 

41  14 

40  23 

39  32 

38  41 

37  51 

37  01 

36  12 

35  22 

34  33 

33  44 

30 

40 

41  41 

40  49 

39  59 

39  09 

38  19 

37  29 

36  40 

35  51 

35  02 

34  14 

33  25 

32  39 

40 

50 

40  20 

39  30 

38  40 

37  51 

37  02 

36  13 

35  24 

34  36 

33  49 

33  02 

32  16 

31  29 

50 

9     OO 

38  55 

38  05 

37  17 

3628 

35  40 

34  53 

34  05 

33  18 

32  33 

31  47 

31  01 

30  16 

9     00 

lO 

37  24 

3636 

35  49 

35  02 

34  15 

33  28 

32  42 

31  57 

31  12 

30  27 

29  44 

29  00 

10 

20 

35  50 

35  03 

34  16 

33  30 

32  45 

32  00 

31  15 

30  32 

29  48 

29  05 

28  23 

27  41 

20 
30 
40 
50 

30 

34  10 

33  25 

32  40 

31  54 

31  II 

30  27 

29  44 

29  02 

28  20 

27  39 

26  58 

26  17 

40 

32  25 

31  41 

3058 

30  14 

29  32 

28  50 

28  09 

27  28 

26  48 

26  09 

25  29 

24  50 

50 

30  35 

29  53 

29  II 

28  30 

27  49 

27  09 

26  30 

25  51 

25  12 

24  35 

23  58 

23  21 

lO     OO 

28  40 

28  00 

27  20 

26  41 

26  02 

25  24 

24  47 

24  10 

23  34 

22  58 

22  23 

21  48 

10     00 

lO 

26  40 

26  01 

25  24 

24  47 

24  10 

23  35 

23  00 

22  25 

21  51 

21  17 

20  44 

20  II 

10 

20 

24  35 

23  59 

23  23 

22  49 

22  15 

-  21  42 

21  08 

20  36 

20  05 

19  33 

19  03 

18  32 

20 
30 

SO 

22  24 

21  51 

21  18 

20  46 

20  14 

19  44 

19  14 

18  44 

18  15 

17  46 

17  19 

16  51 

40 

20  08 

19  38 

19  09 

18  40 

18  II 

17  43 

17.15 

16  48 

16  22 

15  56 

15  30 

15  05 

40 

50 

17  49 

17  21 

16  55 

16  29 

16  03 

1538 

15  14 

14  49 

14  27 

14  04 

13  41 

12  19 

50 

11     OO 

15  25 

15  01 

14  37 

14  15 

13  53 

13  31' 

13  09 

12  48 

12  28 

12  08 

II  48 

II  29 

11     00 
10 

lO 

12  57 

12  37 

12  17 

II  59 

II  39 

n  20 

II  02 

ID  45 

10  27 

10  10 

9  53 

9  37 

20 

10  26 

10  10 

9  53 

9  37 

9  22 

9  07 

853 

838 

8  24 

8  II 

7  57 

7  44 

20 

30 

7  52 

7  39 

7  27 

716 

7  03 

652 

6  41 

6  30 

6  19 

6  10 

5  59 

5  49 

30 

40 

60 

12     00 

40 

5  15 

508 

4  59 

4  51 

4  43 

4  35' 

4  28 

4  21 

4  14 

4  07 

4  00 

3  54 

50 

238 

2  34 

2  30 

2  26 

2  22 

2  18 

2  14 

2  II 

2  07 

2  04 

2  00 

I  57 

12     OO 

1 

»  00 

0  00 

0  eo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the_  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


68 


AZIMUTH  OR  TRUE  BEARING. 


latitude:  14°. 

DECLINATION- 

-SAME 

NAME 

AS— LATITUDE. 

liATITUDE  14°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

b. 

ni. 

o  / 

0  / 

0  1 

0  / 

0  1 

0  t 

0  1 

0  1 

0  1 

0  t 

0  / 

0  1 

b.    m. 

O 

OO 

O  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

3  00 

2  51 

^  44 

2  37 

2  30 

2  23 

2  17 

2  II 

2  05 

2  00 

^  54 

I  50 

10 

20 

5  57 

5  42 

526 

5  12 

4  59 

445 

4  33 

4  21 

4  10 

358 

348 

3  37 

20 

30 

852 

8  29 

8  07 

7  45 

7  25 

7  06 

6  48 

6  30 

613 

556 

5  40 

5  25 

30 

40 

II  41 

II  II 

10  43 

10  15 

9  49 

9  24 

859 

8  36 

8  14 

7  52 

7  32 

7  12 

40 

50 

14  25 

13  49 

13  14 

12  41 

12  09 

II  38 

II  08 

10  40 

10  12 

9  45 

9  20 

855 

SO 

1 

OO 

17  03 

16  20 

1540 

15  01 

14  24 

13  48 

13  13 

12  40 

12  08 

II  36 

II  06 

10  37 

1    00 

lO 

19  33 

18  46 

18  00 

17  16 

16  34 

15  53 

15  14 

14  36 

13  59 

13  23 

12  49 

12  15 

10 

20 

21*55 

21  03 

20  12 

19  25 

18  38 

17  52 

17  09 

16  27 

15  46 

15  06 

14  28 

13  51 

20 

30 

24  08 

23  13 

22  19 

21  26 

20  36 

19  46 

1859 

18  13 

16  45 

16  04 

15  23 

30 

40 

26  13 

25  14 

24  16 

23  20 

22  27 

21  35 

20  44 

19  55 

19  08 

18  21 

17  35 

16  52 

40 

50 

28  09 

27  07 

26  07 

25  09 

24  13 

23  17 

22  23 

21  31 

20  40 

19  50 

19  02 

18  15 

50 

2 

OO 

29  57 

28  53 

27  50 

26  50 

25  51 

24  53 

23  56 

23  02 

22  09 

21  16 

20  26 

19  36 

2    00 

lO 

31  36 

30  31 

29  26 

28  23 

27  23 

26  23 

25  24 

24  27 

23  32 

22  37 

21  43 

20  51 

10 

20 

33  07 

32  00 

30  54 

29  50 

28  47 

27  45 

26  45 

25  46 

24  49 

23  52 

22  57 

22  02 

20 

30 

3+  30 

33  23 

32  15 

31  10 

30  06 

29  03 

28  02 

27  01 

26  02 

25  03 

24  06 

23  10 

30 

40 

35  47 

34  38 

33  30 

32  24 

31  20 

30  15 

29  12 

28  10 

27  10 

26  09 

25  10 

24  13 

40 

50 

.3655 

3546 

3438 

33  32 

32  26 

31  20 

30  16 

29  14 

28  12 

27  10 

26  10 

25  12 

50 

3 

OO 

37  58 

3648 

35  39 

34  33 

33  27 

32  21 

31  16 

30  12 

29  09 

28  07 

27  06 

26  06 

3    00 

lO 

38  54 

37  45 

36  35 

3528 

34  22 

33  17 

32  II 

31  06 

30  02 

29  00 

2758 

26  56 

10 

20 

39  43 

3834 

37  26 

36  i8 

35  12 

34  05 

32  59 

31  55 

30  51 

29  47 

28  44 

27  42 

20 

30 

40  28 

39  19 

38  10 

37  02 

3556 

34  50 

33  44 

32  39 

31  35 

30  30 

29  26 

28  24 

30 

40 

41  06 

39  58 

3849 

37  42 

3636 

35  30 

34  24 

33  19 

32  14 

31  09 

30  05 

29  02 

40 

50 

41  40 

40  32 

39  24 

38  17 

37  II 

36  <H 

34  59 

33  54 

32  48 

31  44 

30  39 

29  36 

50 

4 

OO 

42  10 

41  02 

39  54 

3847 

37  41 

36  35 

35  29 

34  24 

33  19 

32  14 

31  10 

30  07 

4    00 

lO 

42  34 

41  27 

40  20 

39  14 

38  08 

37  01 

35  56 

34  51 

33  46 

32  41 

31  36 

30  32 

10 

20 

42  54 

41  47 

40  41 

39  35 

3!  3° 

37  23 

36  18 

35  14 

34  10 

33  04 

32  00 

30  56 

20 

30 

43  II 

42  05 

40  59 

39  53 

3848 

37  42 

36  37 

35  33 

34  28 

33  24 

32  20 

31  15 

30 

40 

43  22 

42  17 

41  II 

40  07 

3902 

37  57 

36  52 

3548 

34  44 

33  40 

32  35 

31  31 

40 

50 

43  30 

42  26 

41  21 

40  17 

39  12 

38  08 

37  04 

36  00 

34  56 

33  52 

3248 

31  44 

50 

5 

OO 

43  35 

42  31 

41  27 

40  23 

39  19 

38  15 

37  II 

36  09 

35  05 

34  01 

3258 

31  53 

5     00 

lO 

43  37 

42  33 

41  29 

40  26 

39  22 

38  19 

37  16 

36  13 

35  10 

34  06 

33  03 

32  00 

10 

20 

43  34 

42  31 

41  28 

40  26 

39  23 

38  20 

37  17 

36  15 

35  12 

34  09 

33  07 

32  03 

20 

30 

43  28 

42  26 

41  23 

40  22 

39  20 

38  17 

37  14 

36  13 

35  10 

3408 

33  06 

32  04 

30 

40 

43  19 

42  17 

41  16 

40  15 

39  13 

38  II 

37  10 

36  07 

35  06 

34  04 

33  03 

32  00 

40 

50 

43  07 

42  07 

41  05 

40  04 

39  04 

38  02 

37  01 

36  00 

34  59 

3358 

32  56 

31  55 

60 

6 

OO 

42  52 

41  52 

40  51 

3951 

3851 

37  50 

36  50 

35  49 

3448 

3348 

32  47 

31  46 

6    00 

lO 

42  33 

41  34 

40  34 

39  35 

3835 

37  35 

36  35 

35  35 

34  35 

33  35 

32  35 

31  34 

10 

20 

42  13 

41  14 

40  14 

39  15 

38  16 

37  16 

36  17 

35  18 

34  19 

33  20 

32  20 

31  21 

20 

30 

41  48 

40  49 

39  51 

3852 

37  54 

36  55 

35  57 

34  59 

34  00 

33  01 

32  03 

31  04 

30 

40 

41  20 

40  22 

39  25 

38  27 

37  30 

3631 

35  33 

34  36 

33  38 

32  39 

31  42 

30  44 

40 

50 

40  50 

39  53 

38  56 

37  59 

37  02 

36  04 

3508 

34  10 

33  13 

32  16 

31  19 

30  21 

50 

7 

OO 

40  16 

39  20 

38  24 

37  28 

36  32 

35  34 

34  38 

33  42 

32  46 

31  50 

30  53 

29  56 

7    00 

lO 

39  40 

38  44 

37  48 

36  53 

3558 

35  02 

•34  06 

33  II 

32  15 

31  20 

30  24 

29  29 

10 

20 

39  00 

38  05 

37  10 

36  15 

■35  21 

34  26 

33  31 

32  37 

31  42 

30  47 

29  53 

28  58 

20 

30 

38  18 

37  24 

36  30 

35  35 

34  42 

33  47 

32  54 

32  00 

31  06 

30  12 

29  19 

28  25 

30 

40 

37  33 

3638 

35  46 

34  52 

34  00 

33  07 

32  14 

31  21 

30  29 

29  35 

28  43 

27  50 

40 

50 

36  43 

35  50 

34  59 

3406 

33  15 

32  22 

31  31 

3038 

29  47 

28  55 

28  03 

27  II 

SO 

8 

OO 

35  51 

35  00 

3408 

33  17 

32  26 

31  34 

30  44 

29  53 

29  03 

28  12 

2722 

26  31 

8     00 

lO 

34  56 

34  05 

33  15 

32  25 

31  36 

30  45 

29  55 

29  06 

28  16 

27  27 

2638 

2548 

10 

20 

33  58 

33  08 

32  18 

31  30 

3042 

29  52 

29  04 

28  16 

27  27 

26  39 

25  51 

25  02 

20 

30 

32  56 

32  07 

31  20 

30  31 

29  44 

2856 

28  09 

27  22 

26  35 

2548 

25  01 

24  14 

30 

40 

31  51 

31  04 

30  17 

29  31 

28  44 

2758 

27  12 

26  27 

2540 

24  55 

24  10 

23  24 

40 

50 

3043 

29  57 

29  II 

28  26 

27  41 

26  57 

26  12 

25  28 

24  43 

23  59 

23  15 

■22  31 

SO 

9 

OO 

29  30 

28  46 

28  03 

27  19 

26  35 

25  51 

25  08 

24  25 

23  42 

23  00 

22  19 

21  36 

9     00 

lO 

28  17 

27  34 

26  51 

26  09 

25  27 

24  44 

24  03 

23  22 

22  41 

21  59 

21  20 

20  39 

10 

20 

26  59 

26  17 

25  36 

24  55 

24  16 

23  35 

22  55 

22  15 

21  36 

20  57 

20  18 

19  39 

20 

30 

2538 

24  57 

24  18 

23  39 

23  01 

22  22 

21  44 

21  07 

20  28 

19  51 

19  14 

18  37 

30 

40 

24  13 

23  34 

22  57 

22  20 

21  43 

21  06 

20  30 

19  54 

19  19 

18  43 

18  09 

17  33 

40 

50 

22  44 

22  09 

21  33 

20  58 

20  24 

19  51 

19  15 

18  40 

18  07 

17  33 

17  01 

16  27 

SO 

10 

OO 

21  14 

20  40 

20  06 

19  34 

19  01 

18  28 

17  56 

17  24 

16  53 

16  21 

15  51 

15  20 

10     00 

lO 

19  40 

19  08 

1836 

l8  06 

17  35 

17  05 

16  35 

16  06 

15  36 

15  07 

14  38 

14  09 

10 

20 

18  04 

17  34 

17  05 

16  36 

16  08 

15  40 

15  12 

14  45 

14  19 

13  51 

13  25 

12  59 

20 

30 

16  23 

15  56 

15  30 

15  04 

14  38 

14  13 

13  47 

13  23 

12  59 

12  34 

12  09 

"  45 

30 

40 

14  42 

14  17 

13  53 

13  29 

13  06 

12  43 

12  20 

II  58 

II  36 

II  15 

10  53 

10  31 

40 

50 

12  56 

12  35 

12  14 

II  53 

II  33 

II  12 

10  52 

10  32 

10  13 

9  53 

9  34 

9  16 

SO 

11 

OO 

II  10 

10  52 

10  33 

10  15 

956 

9  39 

9  21 

9  05 

8  48 

83? 

8  15 

758 

11     00 

lO 

9  22 

9  05 

850 

835 

8  20 

8  05 

7  51 

736 

7  22 

708 

654 

6  40 

10 

20 

7  31 

7  18 

7  05 

654 

6  41 

6  30 

6  18 

6  06 

5  54 

5  44 

5  33 

5  21 

20 

30 

5  39 

.  5  30 

5  21 

5  II 

5  03 

4  53 

4  44 

4  35 

4  19 

4  10 

4  02 

30 

40 

3  47 

*  3  40 

3  34 

328 

3  22 

3  16 

3  10 

3  04 

2  58 

253 

2  47 

2  42 

40 

50 

I  53 

I  51 

I  48 

I  44 

I  41 

1  38 

I  35 

I  32 

I  29 

I  26 

I  23 

I  20 

SO 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  >'orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sooth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


64 


AZIMUTH  OR  TRUE  BEARING. 


liATITrDE  14°. 

DECLINATION— SAME  NAME  AS- 

-IvATITUDE. 

LATIIUDE  14°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

It. 

in. 

O  1 

0  ' 

0  ' 

0  / 

0  / 

0  ■ 

0  ' 

0  / 

0  » 

0  ' 

0  ' 

h.     in. 

O 

OO 

o  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

I  44 

I  39 

I  34 

I  30 

I  26 

I  21 

I  17 

I  14 

I  10 

I  06 

I  02 

10 

20 

328 

3  18 

3  09 

3  00 

2  51 

2  42 

2  35 

2  26 

2  19 

2  II 

2  03 

20 

30 

5  II 

4  57 

4  42 

4  29 

4  16 

4  03 

3  51 

3  39 

3  27 

3  16 

3  04 

30 

40 

652 

6  34 

6  15 

5  57 

5  40 

5  23 

5  07 

4  51 

4  36 

4  21 

4  05 

40 

50 

831 

8  09 

7  46 

7  24 

7  02 

6  41 

6  21 

6  01 

5  42 

5  23 

5  05 

50 

1 

OO 

10  08 

9  41 

9  14 

8  48 

8  24 

7  59 

7  35 

7  12 

6  49 

6  26 

6  04 

1     00 

10 

II  43 

11  12 

10  41 

10  II 

9  42 

9  14 

8  46 

8  20 

7  27 

7  03 

10 

ao 

13  14 

12  39 

12  05 

II  31 

10  59 

10  27 

9  57 

9  26 

8  56 

8  28 

7  59 

20 

30 

14  42 

14  05 

13  27 

12  50 

12  4 

13  26 

II  38 

II  04 

10  31 

958 

9  26 

855 

30 

40 

16  07 

15  26 

14  45 

14  05 

12  47 

12  10 

II  34 

10  58 

10  23 

9  48 

40 

50 

17  29 

16  45 

16  00 

15  17 

15  35 

13  54 

13  13 

12  34 

II  55 

II  17 

10  40 

50 

2 

OO 

18  46 

17  59 

17  12 

16  27 

15  42 

14  57 

14  15 

13  33 

12  51 

12  II 

II  30 

2     00 

lO 

20  00 

19  10 

18  20 

17  32 

16  45 

15  59 

15  14 

14  28 

13  44 

13  01 

12  18 

10 

20 

21  09 

20  17 

19  25 

18  35 

17  45 

1656 

16  09 

15  22 

14  36 

13  50 

13  05 

20 

30 

22  14 

21  20 

20  27 

19  35 

1843 

17  52 

17  02 

16  13 

15  24 

14  36 

13  49 

30 

40 

23  16 

22  20 

21  24 

20  30 

19  37 

18  44 

17  53 

17  01 

16  II 

15  21 

14  32 

40 

50 

24  12 

23  16 

22  19 

21  22 

20  27 

19  34 

18  40 

17  47 

16  54 

16  03 

15  12 

50 

3 

OO 

25  06 

24  08 

23  09 

22  12 

21  15 

20  ig 

19  24 

18  29 

17  35 

16  42 

15  49 

3     00 

lO 

25  55 

24  55 

23  56 

22  57 

22  00 

21  02 

20  06 

19  10 

18  14 

17  19 

16  25 

10 

20 

26  40 

25  39 

24  39 

23  39 

22  40 

21  41 

20  44 

19  47 

18  50 

17  53 

16  58 

20 

30 

27  21 

26  20 

25  19 

24  18 

23  18 

22  18 

21  20 

20  22 

19  24 

18  26 

17  29 

30 

40 

27  58 

2656 

^5  55 

24  54 

23  53 

22  52 

21  53 

20  53 

19  55 

18  56 

17  58 

40 

50 

28  32 

27  30 

26  28 

25  26 

24  24 

23  23 

22  23 

21  23 

20  22 

19  23 

i8  24 

50 

4 

OO 

29  02 

27  59 

26  57 

25  54 

24  52 

23  51 

22  49 

21  48 

20  48 

19  47 

1847 

4     00 

10 

29  28 

•28  26 

27  21 

26  19 

■  25  17 

24  15 

23  13 

22  12 

21  II 

20  10 

19  09 

10 

20 

29  51 

28  49 

27  45 

26  42 

25  39 

24  36 

23  34 

22  32 

21  31 

20  30 

19  29 

20 

30 

30  11 

29  08 

28  04 

27  01 

25  59 

24  56 

23  54 

22  51 

21  49 

20  46 

19  45 

30 

40 

30  27 

29  24 

28  20 

27  17 

26  14 

25  II 

24  09 

23  06 

22  04 

21  01 

20  00 

40 

50 

30  40 

29  37 

2833 

27  30 

26  27 

25  25 

24  22 

23  19 

22  16 

21  14 

20  II 

50 

5 

OO 

30  50 

29  47 

28  43 

27  40 

26  38 

25  35 

24  33 

23  29 

22  27 

21  23 

20  21 

5     00 

lO 

30  57 

29  S4 

28  51 

27  48 

26  45 

25  42 

24  40 

23  37 

22  34 

21  31 

20  29 

10 

20 

31  00 

2958 

=^1  55 

27  53 

26  49 

25  47 

24  45 

23  42 

22  40 

21  37 

20  35 

20 

30 

31  00 

29  59 

28  56 

27  54 

26  52 

25  49 

24  47 

23  45 

22  42 

-  21  40 

20  37 

30 

40 

3058 

29  57 

28  55 

27  53 

26  51 

25  49 

24  47 

23  45 

22  43 

21  40 

20  38 

40 

50 

30  52 

29  52 

28  51 

27  49 

26  47 

25  46 

24  42 

23  42 

22  41 

21  39 

20  37 

50 

6 

OO 

30  45 

29  44 

28  43 

27  42 

26  41 

25  40 

24  39 

2338 

22  37 

21  35 

20  34 

6     00 

lO 

30  34 

29  35 

28  33 

27  33 

26  32 

25  32 

24  32 

23  31 

22  30 

21  29 

20  28 

10 

20 

30  21 

29  21 

■  28  21 

27  22 

26  22 

25  22 

24  22 

23  22 

22  21 

21  21 

20  21 

20 

30 

30  05 

29  06 

28  07 

27  07 

26  08 

25  09 

24  09 

23  10 

22  10 

21  10 

20  II 

30 

40 

29  45 

28  47 

27  49 

26  51 

25  53 

24  54 

23  55 

22  56 

21  57 

20  58 

19  59 

40 

50 

29  23 

28  27 

27  29 

26  32 

25  33 

24  36 

2338 

22  40 

21  42 

20  44 

19  46 

50 

7 

OO 

2859 

28  03 

27  07 

26  09 

25  12 

24  15 

23  19 

22  22 

21  25 

20  27 

19  29 

7     00 

lO 

28  32 

27  37 

26  41 

25  45 

24  49 

23  53 

22  58 

22  01 

21  05 

20  09 

19  12 

10 

20 

28  02 

27  09 

26  14 

25  19 

24  23 

23  29 

22  34 

21  39 

2044 

19  48 

18  52 

20 

30 

27  31 

26  37 

25  43 

24  50 

23  56 

23  02 

22  08 

21  13 

20  20 

19  26 

18  31 

30 

40 

26  56 

26  04 

25  II 

24  19 

23  26 

22  33 

21  4c 

20  47 

19  54 

19  00 

18  08 

40 

50 

26  20 

25  28 

24  36 

23  45 

22  53 

22  02 

21  10 

20  19 

19  27 

18  34 

17  43 

60 

8 

OO 

25  40 

24  50 

23  59 

23  09 

22  18 

21  28 

20  38 

19  47 

1857 

18  07 

17  16 

8     00 

lO 

24  58 

24  10 

23  20 

22  31 

21  42 

20  53 

20  04 

19  15 

18  26 

17  37 

16  47 

10 

20 

24  15 

23  26 

22  39 

21  51 

21  04 

20  15 

19  28 

18  40 

17  53 

17  05 

16  17 

20 

30 

23  27 

22  42 

21  55 

21  08 

ao  22 

1936 

18  51 

18  04 

17  18 

16  31 

15  45 

30 

40 

22  39 

21  54 

21  09 

20  24 

19  39 

18  55 

18  10 

17  26 

16  41 

15  56 

15  II 

40 

50 

21  47 

21  05 

20  21 

19  37 

18  55 

18  II 

17  28 

16  45 

16  03 

15  19 

14  36 

50 

9 

OO 

20  54 

20  12 

19  31 

18  49 

18  07 

17  26 

16  45 

16  03 

15  23 

14  41 

14  00 

9     00 

10 

1958 

19  19 

1838 

1758 

17  19 

1638 

15  59 

15  20 

14  40 

14  01 

13  22 

10 

20 

19  00 

18  22 

17  44 

17  06 

16  28 

15  50 

15  12 

14  35 

13  58 

13  20 

12  42 

20 

30 

18  00 

17  24 

16  48 

16  12 

15  36 

14  59 

14  24 

13  48 

13  13 

12  37 

12  02 

30 

40 

16  59 

16  24 

15  49 

15  16 

14  41 

14  07 

13  33 

13  00 

12  27 

II  53 

II  19 

40 

50 

15  55 

15  22 

14  50 

14  18 

13  46 

13  14 

12  42 

12  II 

11  39 

II  08 

10  36 

60 

lO 

OO 

14  49 

14  19 

1348 

13  19 

12  49 

12  19 

II  50 

II  20 

10  51 

10  21 

9  52 

10        00 

lO 

13  41 

13  13 

12  45 

12  18 

II  50 

II  23 

10  55 

10  28 

10  01 

9  33 

9  07 

10 

20 

12  32 

12  06 

II  41 

II  15 

10  51 

10  25 

9  59 

9  34 

9  10 

8  45 

8  20 

20 

30 

II  2: 

10  58 

10  35 

10  12 

9  49 

9  26 

9  03 

8  40 

8  18 

756 

7  32 

30 

40 

10  09 

9  49 

9  28 

9  07 

846 

8  26 

8  05 

7  45 

7  25 

7  05 

6  45 

40 

60 

857 

838 

8  19 

8  01 

7  45 

7  24 

7  07 

6  49 

632 

6  14 

556 

50 

11 

OO 

7  42 

726 

7  TO 

655 

6  38 

623 

6  08 

5  52 

536 

5  22 

506 

11     00 

lO 

6  26 

6  13 

6  00 

5  47 

5  34 

5  20 

5  07 

4  54 

4  42 

428 

4  16 

10 

20 

5  10 

5  00 

4  49 

4  38 

4  28 

4  17 

4  07 

3  57 

3  46 

336 

3  25 

20 

30 

3  53 

3  45 

3  37 

3  29 

3  22 

3  13 

3  05 

258 

2  50 

2  42 

2  34 

30 

40 

236 

2  31 

2  25 

2  19 

2  14 

2  09 

2  04 

I  59 

I  54 

I  48* 

I  43 

40 

50 

I  18 

I  15 

I  12 

I  10 

I  07 

.   I  04 

I  02 

0  59 

0  57 

0  54 

0  52 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


65 


AZIMUTH    OR    TRUE    BEARING. 


liATlTUDE   15° 


DECLINATION— SAME  NAME  AS— LATITUDE. 


latitude;  15°. 


Hour  Angle. 


Ii. 
O 


lO 


12 


m. 
OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


24° 


25° 


O  OO 

14  16 
26  51 

37  07 

44  45 
50  40 

55  II 

58  39 

61  21 

63  29 

65  10 

66  32 

67  37 

68  30 

69  12 

69  44 

70  10 
70  30 

70  44 

70  54 

71  01 
71  02 
71  02 
70  57 

70  51 
70  42 
70  31 
70  17 
70  01 
69  43 

69  23 
69  03 
6838 
68  13 
67  46 
67  16 

6643 
66  10 
65  34 
6455 

64  15 
63  32 

62  47 

61  57 
61  07 
60  12 

59  15 
58  13 

57  08 
55  59 
54  46 
53  29 
52  06 
5038 

49  05 
47  25 

45  39 
43  47 
41  47 
39  39 

37  23 
35  00 
32  28 
29  46 
2656 
23  57 

20  50 
17  36 
14  14 
10  46 
7  13 
3  38 
o  00 


o  00 

12  48 
24  21 

33  58 

41  37 

47  35 

52  15 

55  54 
5847 

61  06 

62  57 

64  26 

65  40 

66  38 

67  25 

68  04 
6835 
6859 

69  17 
69  30 
69  39 
69  44 
69  46 
69  44 

69  39 
69  33 

69  22 
69  II 

68  56 

6839 

68  21 
68  00 
67  37 
67  12 
66  45 
66  16 

65  45 
65  12 
64  36 
6358 

63  18 
62  35 

61  49 
61  01 
60  09 
59  15 
58  17 
57  17 

56  II 
55  02 

53  49 
52  32 
51  09 
4942 

48  08 
46  29 
44  44 

42  52 
40  53 
3846 

36  33 

34  10 
31  40 
29  02 
26  15 
23  20 

20  16 
17  06 

13  50 
10  27 

7  01 

3  31 
o  00 


1  26° 

1 

1 

27° 

0  / 

0  / 

0  00 

0  00 

II  36 

10  35 

22  13 

20  24 

31  19 

29  00 

3846 

36  13 

44  45 

42  06 

49  29 

46  54 

53  17 

5048 

56  19 

53  57 

58  47 

56  32 

6046 

58  39 

62  23 

60  23 

63  43 

61  49 

64  48 

62  59 

65  41 

6358 

66  25 

64  47 

67  00 

65  26 

67  28 

65  57 

67  50 

66  24 

68  07 

6643 

68  18 

6658 

68  25 

67  08 

6830 

67  15 

68  31 

67  17 

68  28 

67  17 

6823 

67  13 

68  15 

67  06 

68  04 

6657 

67  51 

6645 

67  35 

6631 

67  18 

66  15 

6658 

6556 

66  36 

65  35 

66  12 

65  12 

65  46 

64  46 

65  17 

64  18 

64  46 

6348 

64  13 

63  15 

63  39 

62  41 

63  01 

62  04 

62  21 

61  24 

61  38 

60  41 

60  53 

59  56 

60  05 

59  08 

59  13 

58  17 

58  19 

57  23 

57  22 

56  25 

50  21 

55  25 

55  16 

54  20 

54  07 

53  II 

5254 

51  59 

51  37 

50  41 

50  14 

49  19 

4847 

47  52 

47  13 

46  20 

45  35 

44  41 

43  51 

42  57 

42  00 

41  07 

40  01 

39  10 

37  57 

37  06 

35  44 

34  55 

33  23 

32  37 

30  55 

30  II 

28  19 

27  37 

25  35 

24  56 

22  44 

22  09 

19  45 

19  13 

16  39 

16  12 

13  27 

13  05 

10  10 

9  54 

6  49 

6  38 

3  25 

3  20 

0  00 

0  00  ! 

28° 


o  00 
9  42 
18  49 
26  56 

33  52 
.39  40 

44  28 
4825 

51  40 

54  21 

56  34 

58  25 

59  56 

61  13 

62  16 

63  09 

63  52 

64  28 

64  57 

65  20 
65  37 
65  49 

65  59 

66  03 

6605 
66  03 
65  57 
65  50 
65  39 
65  27 

65  II 
64  53 
64  33 
64  II 

■63  45 
63  18 

62  49 
62  16 
61  42 
61  06 

60  26 
59  44 

59  00 
58  II 

57  21 
56  27 

55  30 
54  29 

53  24 

52  16 
51  04 
49  46 
48  24 
46  58 

45  26 
43  48 
42  05 
40  15 
38  19 
36  17 

34  07 
31  51 
29  27 
26  57 
24  19 
21  34 

1843 
15  46 
12  44 

9  37 
6  27 

3  14 
o  00 


29° 


8  58 

17  26 

25  05 
31  46 
37  26 

42  12 

46  II 

49  30 

52  15 

54  34 

56  28 

58  05 

59  27 

60  35 

61  32 

62  20 

62  59 

63  31 
6356 

64  17 
64  32 
6443 
64  50 

64  53 
64  53 
64  50 

64  43 
64  34 
64  22 

64  08 
63  51 
63  32 
63  10 
62  45 
62  19 

61  50 
61  18 
60  45 
60  08 
59  29 
5848 

5803 

57  16 
56  25 

55  32 
54  34 

53  34 

52  30 
51  21 

50  09 
48  51 

47  31 
46  04 

44  33 
4255 
41  14 

39  25 
37  31 
35  29 

33  22 
31  06 
28  46 

26  18 

23  43 
21  01 

18  14 
15  22 
12  23 

9  21 
6  16 

3  09 
o  00 


30° 


o  00 

8  18 

16  12 
23  26 

29  50 

35  22 

40  04 

44  03 
47  24 

50  14 

52  36 

54  36 

56  18 

57  43 
5856 

59  56 

60  47 

61  30 

62  05 
62  34 

62  57 

63  14 
63  27 
63  37 

63  41 
63  43 
63  41 
6336 
63  28 
63  18 

63  04 
62  49 
62  30 
62  09 
61  45 
61  20 

60  51 
60  20 
59  47 
59  II 

58  32 
57  51 

57  07 
56  19 

55  29 
54  36 

53  39 
52  39 

51  34 
50  27 
49  15 
4758 
46  37 

45  12 

43  40 
42  04 
40  23 
3835 

36  42 
34  42 

32  36 

30  24 
28  05 
25  39 
23  07 
20  30 

17  46 
1458 
12  04 

9  06 
6  06 

3  03 
o  00 


31° 


32° 


0 

1 

0 

00 

7  43 

15  07 

21 

57 

28 

04 

33  27 

38 

04 

42 

02 

45 

24 

48 

17 

50  42 

52 

46 

,54.33 

01 

57 

18 

.58 

21 

59 

16 

60 

02 

60 

40 

61 

II 

61 

37 

61 

56 

62 

12 

62 

23 

62 

29 

62 

,33 

62 

,32 

62 

29 

62 

22 

62 

13 

62 

00 

61 

46 

61 

28 

61 

08 

60 

45 

60 

20 

59  52  1 

,S9 

22 

.58 

49 

.58 

14 

57  35  1 

56 

54 

56 

10 

55  23 

54  33 

53  40 

52  44 

51  43 

50  40 

49  32 

48 

21 

47  04 

45  44 

44 

19 

42 

48 

41 

13 

39  33 

37  47 

35  54 

33 

56 

31  52 

29  41 

27 

25 

25 

02 

22 

.33 

19  59  1 

17 

19 

14  34  1 

II 

45 

8 

52 

5 

.56 

2 

59 

o  00 

7  13 
14  09 

20  37 
26  29 
31  40 

36  12 

40  08 

43  30 

46  24 

48  53 

51  00 

52  49 

54  22 

55  40 
5648 

57  46 
5834 

59  15 

59  49 

60  17 
60  39 

60  57 

61  10 

61  iS 
61  23 
61  24 
61  21 
61  16 
61  08 

60  57 
60  43 
60  27 
60  07 
59  44 
59  21 

5853 

58  24 
57  51 
57  16 
5638 
5558 

55  14 
54  28 
5338 
52  45 
51  48 
50  49 

49  45 
48  38 

47  27 
46  II 

44  51 
43  27 

41  57 
40  23 

38  44 
3658 
35  06 
33  II 

31  09 
29  00 
26  45 
24  26 

21  59 
19  29 

16  52 
14  II 
II  27 

8  38 
5  47 
2  54 
o  00 


33° 


34° 


o  00 
6  45 
13  16 
19  24 

25  00 
30  01 

34  27 

38  19 

41  41 

44  35 

47  06 

49  16 

51  07 

52  43 

54  06 

55  16 

56  17 
5708 

57  51 

58  28 
5858 

59  22 
59  42 

59  56 

60  07 
60  13 
60  15 
60  15 

60  ID 
60  03 

59  53 
59  40 
59  24 
59  06 

58  44 
58  20 

57  54 
57  24 
56  53 
56  19 
55  41 
55  00 

54  18 

53  32 
52  42 
51  49 

50  53 
49  54 

48  51 
47  45 
46  33 

45  18 
43  59 

42  35 

41  07 

39  33 
37  54 
36  10 
34  21 
32  26 

30  25 
28  19 

26  08 

23  50 
21  27 

1859 

16  27 

13  50 
II  08 
8  24 
5  37 
2  49 
o  00 


o  00 
6  20 

12  29 
18  17 

23  39 

28  29 

3248 

36  37 

39  57 

42  51 

45  23 
47  35 

49  28 

51  07 

52  32 

53  46 

54  49 

55  43 

56  28 

57  07 

57  39 

58  05 
58  27 
5843 

58  55 

59  03 
59  06 
59  07 
59  05 
5858 

58  49 
58  37 
58  22 
58  05 
57  44 
57  21 

56  55 
5626 

55  55 
55  21 
54  44 
54  04 

53  22 
52  35 
51  47 

50  54 
49  59 
49  00 

47  57 

46  51 
45  41 
44  26 

43  08 
41  44 

40  16 
38  44 

37  06 
35  24 
33  36 
31  42 

29  44 
27  40 
25  30 
23  15 
20  55 
18  30 

16  01 

13  28 
10  50 

8  II 
5  29 
2  44 
o  00 


35° 


Hour  Angle. 


o  00 
558 
II  46 

17  16 
22  24 
27  04 

31  16 

35  00 
38  17 

41  II 

43  44 
45  56 

47  53 

49  33 

51  01 

52  17 

53  21 

54  18 

55  06 

55  47 

56  21 

56  49 

57  13 
57  30 

57  43 
57  53 

57  59 

58  00 

57  59 
57  53 

57  46 
57  34 
57  20 
57  04 
56  44 
56  21 

55  56 
55  27 
54  57 
54  24 
53  47 
53  07 

52  25 
51  40 

50  52 
50  00 

49  05 

48  06 

47  04 
45  58 

44  48 
43  35 

42  17 
40  55 

3928 
37  55 

36  20 
34  38 

32  52 
3059 

29  03 
27  01 
24  54 
22  42 
20  24 

18  03 

15  36 
13  07 
10  34 
758 
5  20 
2  41 
o  00 


It. 
O 


10 


11 


12 


in. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
60 

00 
10 
20 
30 
40 
60 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
60 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East-  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East-  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  .South  to  We.st. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  t>e  taken  for  the  required  true  bearing. 

41224°— 16 5 


66 


AZIMUTH  OR  TRUE  BEARING. 


L.AT1TIJJDX:  1 

5°. 

DECI.INATION- 

-SAME  NAME  AS— LATITUDE. 

liATITUDE  15°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

Ii. 

in. 

o  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

li.    ni. 

O 

OO 

o  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

10 

5  37 

5  18 

5  02 

4  46 

431 

4  18 

4  05 

3  54 

3  42 

3  32 

3  21 

3  13 

10 

20 

II  oo 

ID  30 

9  57 

9  26 

8  58 

831 

8  06 

7  43 

7  22 

7  01 

6  42 

6  24 

20 

30 

l6  20 

15  28 

14  41 

13  56 

13  15 

12  36 

12  01 

II  27 

10  55 

10  25 

9  57 

9  30 

30 

40 

21  15 

20  10 

19  10 

18  13 

17  22 

16  32 

15  47 

15  03 

14  22 

13  43 

13  07 

12  32 

40 

50 

25  44 

24  29 

23  20 

22  14 

21  12 

20  15 

19  19 

18  28 

17  40 

16  53 

16  09 

15  28 

50 

1 

OO 

29  48 

28  26 

27  09 

25  56 

24  47 

23  41 

22  40 

21  41 

20  45 

19  52 

19  02 

18  14 

1     00 

10 

33  28 

32  01 

30  38 

29  20 

28  05 

26  54 

25  46 

24  42 

23  40 

22  42 

21  46 

20  52 

10 

30 

36  43 

35  13 

33  47 

32  24 

31  05 

29  50 

2837 

27  29 

26  23 

25  19 

24  19 

23  20 

20 

30 

39  36 

38  03 

36  35 

35  II 

33  49 

32  31 

31  15 

30  02 

28  53 

27  46 

26  41 

25  40 

30 

40 

42  08 

40  36 

39  06 

37  40 

36  17 

34  56 

33  38 

32  24 

31  II 

30  01 

2853 

27  49 

40 

50 

44  21 

42  49 

41  20 

39  53 

38  29 

37  06 

.3548 

34  32 

33  17 

32  05 

30  55 

29  48 

SO 

a 

OO 

46  19 

44  48 

43  19 

41  52 

40  28 

39  06 

37  45 

36  27 

35  12 

33  59 

32  48 

31  39 

2     00 

10 

48  02 

46  31 

45  02 

43  37 

42  13 

40  50 

39  31 

38  13 

36  57 

35  42 

34  29 

33  19 

10 

20 

49  30 

48  02 

46  35 

45  II 

43  47 

42  25 

41  05 

39  47 

38  30 

37  16 

36  02 

34  51 

20 

30 

50  49 

49  22 

47  56 

46  33 

45  II 

43  50 

42  30 

41  II 

39  55 

38  40 

37  27 

36  15 

30 

40 

51  56 

50  31 

49  07 

47  45 

46  24 

45  04 

43  45 

42  28 

41  12 

39  57 

3843 

37  31 

40 

50 

52  54 

51  31 

50  09 

48  48 

47  28 

46  09 

44  52 

43  34 

42  19 

41  04 

39  50 

3839 

50 

3 

OO 

53  44 

52  23 

51  03 

49  43 

48  25 

47  07 

45  51 

44  34 

43  19 

42  05 

40  52 

39  40 

3     00 

lO 

54  27 

5308 

51  49 

50  31 

49  14 

47  58 

46  42 

45  27 

44  13 

42  59 

41  46 

40  35 

10 

ao 

55  04 

53  46 

52  29 

51  12 

49  57 

48  41 

47  27 

46  12 

44  59 

43  47 

42  34 

41  23 

20 

30 

55  33 

54  18 

53  02 

51  47 

50  33 

49  19 

48  05 

46  52 

45  40 

44  28 

43  16 

42  06 

30 

40 

5§58 

54  44 

53  30 

52  16 

51  03 

49  50 

48  38 

47  26 

46  14 

45  03 

43  53 

42  43 

40 

50 

56  18 

55  05 

53  53 

52  41 

51  28 

50  17 

49  06 

47  55 

46  44 

45  34 

44  24 

43  15 

50 

4 

OO 

56  33 

55  22 

54  10 

52  59 

51  49 

50  38 

49  28 

48  19 

47  09 

46  00 

44  50 

43  42 

4     00 

lO 

56  43 

55  33 

54  23 

53  14 

52  05 

50  56 

49  47 

48  38 

47  29 

46  20 

45  12 

44  04 

10 

20 

56  50 

55  41 

54  33 

53  25 

52  17 

51  08 

50  00 

4852 

47  45 

46  37 

45  29 

44  22 

20 

30 

56  53 

55  46 

54  39 

53  31 

52  24 

51  17 

50  10 

49  03 

47  56 

46  49 

45  43 

44  36 

30 

40 

5^  52 

55  46 

54  40 

53  34 

52  28 

51  21 

50  15 

49  09 

48  04 

46  57 

45  51 

44  46 

40 

50 

5648 

55  43 

54  38 

53  34 

52  29 

51  23 

50  18 

49  13 

48  08 

47  02 

45  57 

44  52 

50 

5 

OO 

56  42 

55  37 

54  33 

53  29 

52  25 

51  21 

50  16 

49  12 

48  08 

47  03 

4558 

44  55 

5     00 

lO 

56  31 

55  28 

54  25 

.53  21 

52  18 

51  14 

50  II 

4908 

48  05 

47  01 

45  57 

44  54 

10 

20 

56  18 

55  16 

54  14 

53  II 

52  08 

51  05 

50  03 

49  00 

47  58 

46  55 

45  52 

44  50 

20 

30 

56  02 

55  01 

53  59 

52  57 

'51  55 

50  54 

49  52 

48  50 

47  48 

46  46 

45  44 

44  42 

30 

40 

55  43 

54  42 

53  41 

52  40 

51  39 

5038 

49  37 

48  36 

47  35 

46  33 

45  32 

44  31 

40 

50 

55  21 

54  21 

53  21 

52  21 

51  21 

50  20 

49  19 

48^19 

47  18 

46  18 

45  18 

44  17 

50 

6 

OO 

54  56 

53  57 

52  57 

51  58 

50  58 

49  58 

4858 

47  59 

46  59 

46  00 

44  59 

44  00 

6    .00 

lO 

54  29 

53  30 

52  32 

51  33 

50  34 

49  35 

48  35 

47  36 

46  37 

45  38 

44  39 

43  40 

10 

30 

53  59 

53  01 

52  03 

51  05 

50  06 

49  07 

48  09 

47  10 

46  12 

45  13 

44  15 

43  16 

20 

30 

53  26 

52  28 

51  31 

50  33 

49  35 

4837 

47  39 

46  41 

45  43 

44  46 

43  48 

42  50 

30 

40 

52  50 

51  53 

50  56 

49  58 

49.02 

48  04 

47  07 

46  10 

45  13 

44  15 

43  18 

42  20 

40 

50 

52  II 

51  14 

50  18 

49  22 

48  24 

47  28 

46  31 

45  35 

44  38 

43  42 

42  44 

41  48 

50 

7 

OO 

51  30 

50  33 

49  37 

48  41 

47  45 

46  49 

45  53 

44  57 

44  01 

43  05 

42  09 

41  13 

7     00 

lO 

50  44 

49  48 

48  53 

47  57 

47  02 

46  06 

45  II 

44  15 

43  20 

42  24 

41  29 

40  34 

10 

20 

49  56 

49  01 

48  06 

47  II 

46  16 

45  21 

44  26 

43  31 

42  37 

41  42 

40  48 

39  54 

20 

30 

49  05 

48  II 

47  16 

46  21 

45  27 

44  32 

43  38 

42  45 

41  50 

40  56 

40  02 

39  10 

30 

40 

48  10 

47  16 

46  22 

45  29 

44  35 

43  41 

42  47 

41  53 

41  01 

40  07 

39  14 

38  21 

40 

50 

47  13 

46  19 

45  25 

44  32 

43  39 

42  46 

41  53 

41  00 

40  08 

39  15 

38  23 

37  32 

50 

8 

OO 

46  10 

45  18 

44  25 

43  32 

42  39 

41  47 

40  53 

40  03 

39  II 

38  20 

37  28 

36  37 

8     00 

lO 

45  06 

44  12 

43  20 

42  28 

41  36 

40  46 

39  53 

39  02 

38  12 

37  21 

36  31 

35  41 

10 

20 

43  56 

43  05 

42  13 

41  21 

40  31 

39  40 

38  49 

37  58 

37  09 

36  19 

35  30 

34  41 

20 

30 

42  43 

41  51 

41  01 

40  II 

39  20 

38  30 

37  40 

36  51 

36  03 

35  14 

34  25 

33  37 

30 

40 

41  25 

40  35 

39  45 

3855 

3806 

37  17 

36  28 

35  40 

34  53 

34  05 

33  17 

32  30 

40 

50 

40  04 

39  15 

38  25 

37  37 

36  48 

36  00 

35  13 

34  26 

33  39 

32  52 

32  07 

31  21 

50 

9 

OO 

3838 

37  50 

37  02 

36  14 

35  27 

34  40 

33  53 

33  07 

32  21 

31  37 

30  52 

3007 

9     00 

lO 

37  08 

36  20 

35  33 

34  47 

34  01 

33  14 

32  29 

31  45 

31  01 

30  17 

29  33 

28  50 

10 

20 

35  32 

34  46 

34  00 

33  16 

32  30 

31  46- 

31  03- 

30  19 

2936 

28  54 

28  12 

27  30 

20 
30 

30 

33  52 

33  07 

32  23 

31  39 

30  56 

30  13 

29  30 

2848 

28  08 

27  27 

26  47 

26  07 

40 

32  07 

31  23 

30  41 

30  00 

29  17 

28  36 

27  56 

27  16 

26  37 

25  57 

25  19 

24  41 

40 

50 

30  17 

29  36 

28  55 

28  15 

27  35 

26  55 

26  16 

25  38 

25  02 

24  24 

23  48 

23  12 

50 

lO 

OO 

28  22 

27  43 

27  04 

26  25 

25  48 

25  II 

24  34 

23  58 

23  23 

22  47 

22  13 

21  39 

10     00 
10 

10 

26  22 

25  45 

25  08 

24  32 

23  56 

23  21 

22  47 

22  13 

21  40 

21  07 

20  35 

20  03 

20 

24  17 

24  42 

23  08 

22  34 

22  01 

21  29 

20  57 

20  25 

19  54 

19  24 

1854 

18  24 

20 
30 

30 

22  08 

21  36 

21  04 

20  33 

20  02 

19  32 

19  03 

1833 

18  06 

17  37 

17  09 

16  42 

40 

19  54 

19  24 

18  55 

18  27 

17  59 

17  31 

17  04 

16  38 

16  13 

1548 

15  22 

14  58 

40 
50 

50 

17  35 

17  09 

16  43 

16  18 

15  53 

15  28 

15  05 

14  41 

14  18 

13  55 

13  33 

13  12 

11 

OO 

15  13 

14  49 

14  27 

14  04 

13  43 

13  22 

13  01 

12  41 

12  21 

12  01 

II  42 

II  23 

11     00 
10 

10 

12  47 

12  27 

12  08 

II  49 

II  30 

11  12 

10  55 

10  38 

10  21 

10  04 

9  48 

9  32 

20 

10  17 

10  01 

9  46 

9  31 

9  16 

9  01 

8  47 

833 

8  20 

8  06 

7  53 

7  39 

20 

30 

7  45 

7  33 

7  21 

7  09 

658 

6  48 

636 

6  26 

6  16 

6  06 

556 

5  46 

30 
40 
50 

40 

5  12 

5  03 

4  56 

4  47 

4  39 

4  33 

4  25 

4  18 

4  II 

4  04 

3  57 

3  52 

50 

2  36 

2  32 

2  28 

2  24 

2  21 

2  17 

2  13 

2  09 

2  05 

2  02 

I  59 

I  56 

13 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supjrtement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  trae  bearinsr. 


67 


AZIMUTH  OR  TRUE  BEARING. 


i  I^TITITDE  1 

1 

5°. 

DECLINATION- 

SAME  NAME 

AS— I,ATITUDE. 

i^atitude:  15°. 

Hour  Angle. 

48° 

4»° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

68° 

59° 

Hour  Angle. 

la. 

lU. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  t 

0  / 

0  / 

0  / 

0  1 

0  1 

b.    m. 

O 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

3  04 

2  55 

2  48 

2  40 

2  33 

2  27 

2  20 

2  14 

2  07 

2  02 

156 

1 51 

10 

20 

6  o6 

5  50 

5  34 

5  20 

506 

4  52 

4  39 

4  26 

4  15 

4  04 

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10  28 

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8  29 

8  12 

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9  17 

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8  46 

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8  16 

8  01 

7  48 

7  33 

7  19 

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7  27 

7  14 

7  03 

6  50 

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5  42 

5  31 

5  19 

20 

5  36 

5  27 

5  18 

509  1 

5  00 

4  51 

442 

4  34 

4  25 

4  17 

4  08 

4  00 

30 

3  45 

3  38 

3  32 

3  27  1 

3  20 

3  14 

308 

3  02 

2  57 

2  52 

2  46 

2  41 

40 

12 

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I  49 

I  46 

I  43  i 

I  40 

138 

I  35 

I  32 

I  29 

I  26 

I  23 

I  21 

50 

0  00 

0  00 

0  00 

0  00  j 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Aorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East-  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East-  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  houranele  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


68 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  1 

5°. 

DECLINATION— same;  NAME  AS- 

-LATITUDE. 

liATITUDE  15°. 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Augle. 

h. 

111. 

O   ' 

0  / 

0  / 

0  1 

0  1 

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0 

h.    111. 

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24  09 

23  20 

22  31 

21  42 

20  53 

20  05 

19  16 

18  26 

17  37 

16  48 

10 

20 

24  13 

23  25 

22  38 

21  51 

21  03 

20  16 

19  28 

18  41 

17  53 

17  06 

16  18 

20 

30 

23  26 

22  39 

21  54 

21  08 

20  21 

19  36 

18  50 

18  04 

17  18 

16  32 

15  45 

30 

40 

22  36 

21  52 

21  08 

20  23 

1938 

18  54 

18  09 
17  28 

17  26 

16  41 

15  56 

15  12 

40 

50 

21  45 

21  02 

20  19 

19  36 

18  53 

18  11 

16  45 

16  02 

15  19 

14  36 

50 

9 

OO  ■ 

20  51 

20  10 

19  29 

18  47 

18  06 

17  25 

16  44 

16  03 

15  21 

14  41 

13  59 

9     00 

lO 

1956 

19  16 

18  36 

17  55 

17  16 

16  38 

15  59 

15  19 

\^  40 

14  01 

13  22 

10 

20 

1858 

18  19 

17  42 

17  04 

16  26 

15  49 

15  II 

14  35 

13  57 

13  20 

12  41 

20 

30 

17  58 

17  22 

16  45 

16  10 

15  34 

14  59 

14  23 

13  48 

13  12 

12  37 

12  01 

30 

40 

16  55 

16  21 

15  47 

15  13 

14  40 

14  06 

13  33 

12  59 

12  26 

II  53 

II  19 

40 

50 

15  52 

15  20 

14  47 

14  16 

13  44 

13  12 

12  41 

12  10 

II  38 

II  07 

10  35 

50 

lO 

OO 

14  46 

14  16 

13  46 

13  16 

12  46 

12  18 

II  48 

II  19 

10  50 

10  20 

9  51 

10     00  . 

lO 

13  38 

13  II 

12  43 

12  15 

II  48 

II  21 

10  54 

10  27 

10  00 

9  33 

9  05 

10 

20 

12  30 

12  04 

II  38 

II  13 

10  48 

10  24 

9  59 

9  34 

9  09 

8  44 

8  20 

20 

30 

II  19 

10  56 

10  33 

ID  09 

9  47 

9  24 

9  01 

8  40 

8  17 

7  54 

7  32 

30 

40 

10  07 

946 

9  26 

9  05 

8  44 

8  25 

8  04 

7  44 

7  24 

7  04 

6  44 

40 

50 

8  54 

836 

8  18 

8  00 

7  41 

7  24 

706 

6  49 

631 

6  13 

5  55 

50 

11 

OO 

7  40 

7  24 

7  09 

652 

637 

6  22 

6  06 

5  52 

536 

5  21 

5  05 

11     00 

10 

6  25 

6  II 

5  58 

5  45 

5  32 

5  20 

506 

4  54 

4  41 

4  28 

4  16 

10 

20 

5  09 

4  58 

4  48 

4  37 

4  26 

4  16 

4  06 

3  55 

3  45 

3  35 

3  25 

20 

30 

3  52 

3  44 

3  36 

3  28 

3  20 

3  13 

3  05 

2  57 

2  49 

2  41 

2  34 

30 

40 

2  35 

2  30 

2  25 

2  19 

2  13 

2  08 

2  03 

I  58 

I  53 

I  48 

1  43 

40 

50 

I  18 

I  15 

I  12 

I  10 

I  07 

I  05 

I  02 

I  00 

0  57 

0  54 

0  51 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


69 


AZIMUTH  OR  TRUE  BEARING. 


L.ATITITJD£  16°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

*            1 
I<ATITIIDE  16°>    1 

1 
1 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hoar  Angle. 

b. 

m. 

o    / 

0    / 

0     r 

0     r 

0    ' 

0    / 

0    / 

0    / 

0    / 

0    / 

0    / 

0    / 

li.         m. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0          00 

lO 

i6  07 

14  10 

12  43 

II  30 

10  29 

9  37 

852 

8  13 

738 

708 

6  40 

615 

10 

20 

29  37 

26  39 

24  10 

22  03 

20  13 

18  39 

17  16 

16  03 

14  57 

14  00 

13  08 

12  20 

20 

30 

40  09 

36  44 

33  43 

31   05 

28  46 

26  41 

24  51 

23  12 

21.43 

20  24 

19  12 

18  05 

30 

40 

4758 

44  29 

41  21 

38  30 

35  56 

33  36 

31  30 

29  34 

27  49 

26  13 

24  44 

23  23 

40 

5C 

53  43 

50  24 

47  18 

44  26 

41  49 

39  22 

3708 

35  04 

33  07 

31  21 

29  43 

28  11 

50 

1 

00 

58  00 

54  53 

51  57 

49  10 

4636 

44  09 

41  52 

39  44 

37  44 

35  51 

34  07 

32  28 

1          00 

lO 

61  14 

58  21 

55  36 

52  57 

50  28 

48  05 

45  50 

43  41 

41  40 

39  45 

3758 

36  14 

10 

20 

63  42 

61  03 

58  28 

55  59 

53  37 

51  19 

4908 

47  02 

45  02 

43  07 

41  18 

39  33 

20 

30 

6538 

63  10 

6046 

58  26 

56  II 

53  59 

51  52 

49  51 

47  53 

46  00 

44  II 

42  27 

30 

40 

67  08 

64  51 

6236 

60  25 

58  17 

56  II 

54  10 

52  12 

50  18 

48  27 

46  41 

44  57 

40 

50 

68  19 

66  11 

64  05 

62  01 

60  00 

58  01 

56  05 

54  12 

52  21 

50  34 

48  49 

4708 

50 

2 

OO 

69  16 

67  16 

65  18 

63  20 

61  25 

59  32 

57  41 

55  52 

54  06 

52  22 

50  41 

49  02 

2           00 

lO 

70  01 

68  07 

66  16 

64  24 

62  35 

6048 

59  01 

57  17 

55  34 

53  54 

52  15 

50  39 

10 

20 

70  35 

68  48 

67  02 

65  17 

63  34 

61  51 

60  09 

58  28 

56  49 

55  12 

53  37 

52  03 

20 

30 

71  02 

69  20 

67  39* 

66  00 

64  21 

62  42 

61  05 

59  29 

57  54 

56  20 

54  47 

53  15 

30 

40 

71  21 

69  46 

68  09 

6634 

65  00 

63  25 

61  52 

60  19 

5847 

57  16 

55  47 

54  18 

40 

50 

71  36 

70  04 

68  32 

67  01 

65  30 

64  00 

62  30 

61  01 

59  32 

5804 

56  37 

55  II 

60 

3 

OO 

71  45 

70  17 

6850 

67  22 

65  55 

64  27 

63  00 

61  35 

60  09 

5844 

57  20 

55  56 

3           00 

lO 

71  50 

70  26 

69  01 

67  37 

66  13 

64  49 

63  25 

62  03 

60  39 

59  17 

57  55 

56  34 

10 

20 

71  52 

70  32 

69  10 

6748 

66  27 

6506 

63  45 

62  25 

61  04 

59  44 

58  24 

57  05 

20 

30 

71  50 

70  32 

69  13 

67  54 

6637 

65  18 

63  59 

62  41 

61  23 

60  05 

5848 

57  30 

30 

40 

71  46 

70  30 

69  14 

67  57 

66  41 

65  25 

64  09 

62  54 

61  37 

60  21 

59  06 

57  51 

40 

50 

71  39 

70  25 

69  II 

67  57 

66  42 

65  29 

,64  15 

63  00 

6t  47 

6033 

59  19 

5806 

50 

4 

OO 

71  28 

70  17 

69  05 

67  53 

66  41 

65  29 

64  17 

63  05 

61  53 

6041 

59  29 

58  16 

4           00 

lO 

71  17 

70  07 

6856 

67  46 

66  36 

6526 

64  16 

63  05 

61  54 

6044 

59  35 

58  24 

10 

20 

71  02 

69  54 

6845 

6737 

66  28 

65  20 

64  II 

63  02 

61  53 

60  45 

59  36 

58  27 

20 

30 

70  46 

69  39 

68  32 

67  25 

66  17 

65  10 

64  04 

62  57 

61  48 

60  41 

59  34 

58  26 

30 

40 

70  27 

69  22 

68  16 

67  II 

6605 

64  59 

63  52 

62  47 

61  40 

60  34 

5928 

58  22 

40 

50 

70  08 

69  03 

67  59 

6654 

65  50 

64  45 

63  40 

62  35 

61  31 

60  25 

59  20 

58  15 

50 

5 

OO 

69  43 

68  41 

6738 

66  34 

65  32 

64  28 

63  25 

62  21 

61  17 

60  13 

5908 

58  05 

5           00 

lO 

69  20 

68  18 

67  16 

6613 

65  II 

64  08 

6306 

62  04 

61  00 

59  57 

5855 

57  52 

10 

20 

68  54 

67  53 

66  51 

65  50 

64  49 

6347 

62  45 

61  43 

60  41 

59  40 

5838 

57  35 

20 

30 

68  26 

67  26 

66  24 

65  24 

64  24 

63  23 

62  22 

61  21 

60  21 

59  19 

58  18 

57  16 

30 

40 

67  55 

6656 

6556 

64  56 

6356 

62  57 

61  57 

6056 

59  57 

5856 

57  55 

56  55- 

40 

50 

67  24 

66  25 

65  26 

64  26 

63  27 

62  28 

61  28 

60  29 

59  29 

5830 

57  31 

56  30 

50 

6 

OO 

6649 

65  52 

64  53 

63  54 

6256 

61  57 

6058 

60  00 

59  00 

58  01 

57  02 

56  03 

6           00 

10 

66  13 

65  16 

64  18 

63  20 

62  22 

61  24 

60  26 

59  28 

58  29 

57  31 

56  32 

55  33 

10 

20 

6536 

64  39 

6341 

62  43 

61  45 

6048 

59  50 

58  52 

57  55 

56  57 

55  59 

55  01 

20 

30 

6456 

6358 

63  01 

62  03 

61  06 

60  10 

59  13 

58  15 

57  17 

56  21 

55  24 

54  25 

30 

40 

64  12 

63  16 

62  19 

61  22 

60  25 

59  29 

5832 

57  35 

5638 

55  41 

54  45 

5348 

40 

50 

63  27 

62  31 

61  34 

6037 

5941 

58  45 

57  48 

56  52 

55  56 

54  59 

54  03 

53  07 

50 

7 

OO 

62  39 

61  43 

60  47 

59  51 

5854 

57  59 

57  03 

56  07 

55  II 

54  15 

53  18 

52  23 

7           00 

lO 

61  49 

60  53 

59  57 

59  01 

58  05 

57  09 

56  13 

55  17 

54  21 

53  26 

52  31 

51  36 

10 

20 

60  57 

60  01 

59  04 

58  08 

57  12 

56  17 

55  21 

54  26 

53  32 

52  36 

51  41 

50  46 

20 

30 

60  00 

59  04 

58  08 

57  13 

56  17 

55  22 

54  27 

53  31 

52  37 

51  42 

50  47 

49  53 

30 

40 

59  00 

58  05 

57  09 

56  13 

55  18 

54  23 

53  28 

52  33 

51  39 

50  45 

49  51 

48  56 

40 

50 

57  57 

57  01 

56  05 

55  «> 

54  15 

53  21 

52  26 

51  32 

5038 

49  44 

4850 

47  56 

50 

8 

OO 

56  50 

55  55 

54  59 

54  04 

53  09 

52  15 

51  21 

50  26 

49  32 

48  39 

47  46 

4652 

|8           00 

lO 

55  40 

54  44 

53  49 

52  54 

52  00 

51  05 

50  11 

49  18 

48  24 

47  31 

4638 

45  46 

10 

20 

54  25 

53  30 

52  34 

51  40 

50  45 

49  51 

4857 

48  05 

47  12 

46  19 

45  27 

44  35 

20 

30 

53  05 

52  11 

51  15 

50  21 

49  27 

48  34 

47  40 

46  47 

45  55 

45  03 

44  II 

43  20 

30 

40 

51  41 

5047 

49  51 

48  57 

48  (^ 

47  II 

46  18 

45  26 

44  34 

43  43 

42  52 

42  01 

40 

50 

50  12 

49  17 

48  23 

47  29- 

46  36 

45  43 

44  51 

44  00 

43  09 

42  18 

41  27 

4038 

50 

9 

OO 

4837 

47  43 

46  48 

45  55 

45  03 

44  II 

43  20 

42  29 

41  38 

40  48 

39  59 

39  10 

9           00 

10 

4657 

46  03 

45  09 

44  16 

43  24 

42  33 

41  42 

40  52 

40  02 

39  14 

3826 

37  38 

10 

20 

45  10 

44  16 

43  23 

42  31 

41  40 

40  50 

40  00 

39  II 

38  23 

37  35 

36  47 

36  00 

20 

30 

43  16 

42  23 

41  31 

40  40 

39  50 

39  01 

38  12 

37  24 

36  37 

35  51 

35  05 

34  19 

30 

40 

41  16 

40  24 

39  33 

38  42 

37  54 

37  05 

36  18 

35  32 

34  46 

34  01 

33  16 

32  32 

40 

50 

39  08 

38  17 

37  27 

36  39 

35  51 

35  04 

34  18 

33  34 

3249 

32  05 

31  23 

3041 

50 

lO 

OO 

3652 

36  04 

35  15 

34  28 

33  42 

32  57 

32  13 

31  30 

3048 

30  05 

29  25 

2845 

10           00 

10 

34  28 

33  41 

32  55 

32  09 

31  25 

3043 

30  01 

,  29  19 

2839 

27  59 

27  21 

26  42 

10 

20 

31  57 

31  12 

30  28 

29  45 

29  03 

28  22 

27  42 

27  04 

26  26 

25  48 

25  13 

24  37 

20 

30 

29  16 

2835 

27  54 

27  13 

26  33 

25  55 

25  18 

24  42 

24  07 

23  32 

22  58 

22  25 

30 

40 

26  28 

25  49 

25  10 

24  33 

23  57 

23  22 

22  48 

22  14 

21  42 

21  10 

20  39 

20  09 

1748 

40 

oO 

?3  32 

22  55 

22  21 

21  46 

21  14 

20  42 

20  II 

19  41 

19  12 

18  44 

18  16 

50 

11 

OO 

20  26 

19  55 

19  24 

1853 

18  25 

1757 

17  29 

17  04 

16  37 

16  12 

1548 

15  24 

11            00 

lO 

17  15 

16  47 

16  21 

15  55 

15  31 

15  06 

14  43 

14  20 

13  58 

13  37 

13  16 

12  56 

10 

20 

•13  57 

13  34 

13  12 

12  51 

12  31 

12  II 

II  52 

II  33 

II  16 

10  58 

10  41 

10  25 

20 

30 

10  32 

10  15 

958 

9  43 

9  27 

9  II 

857 

843 

8  30 

8  16 

8  04 

7  51 

30 

40 

7  04 

653 

641 

631 

6  20 

6  lb 

6  00 

5  51 

5  41 

5  33 

5  24 

5'f 

40 

50 

3  33 

3  27 

3  21 

3  16 

3  " 

306 

3  00 

2  55 

2  52 

2  47 

2  42 

238 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12           00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


70 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  16°. 

DECIylNATION- 

-SAME  NAME  AS— I,ATITUDE. 

L.ATITTJDE:  16°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

h. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  r 

0  / 

0  / 

0  ' 

0  ' 

0  ' 

0  / 

li.    ni. 

O 

OO 

0  CX) 

0  00 

0  00 

0  00 

0  (X) 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

5  54 

5  33 

5  14 

458 

442 

4  27 

4  14 

4  01 

3  49 

3  39 

328 

3  18 

10 

30 

11  37 

10  58 

10  22 

9  48 

9  18 

8  50 

823 

7  59 

7  36 

7  14 

6  54 

635 

20 

30 

17  04 

16  09 

15  17 

14  29 

13  45 

13  04 

12  26 

II  50 

II  16 

10  45 

9  15 

9  47 

30 

40 

22  oS 

20  59 

19  54 

18  54 

17  59 

17  07 

16  17 

15  32 

14  48 

14  07 

13  30 

12  53 

40 

50 

26  46 

25  26 

24  II 

23  01 

21  55 

20  55 

19  57 

19  02 

18  10 

17  22 

16  35 

15  52 

50 

1 

OO 

30  55 

29  28 

28  06 

26  48 

25  35 

24  27 

23  21 

22  20 

21  21 

20  25 

19  32 

18  42 

1     00 

lO 

3438 

33  05 

31  38 

30  15 

28  56 

27  42 

26  31 

25  24 

24  19 

23  18 

22  19 

21  23 

10 

20 

37  54 

36  19 

34  48 

33  22 

31  59 

30  40 

29  25 

28  13 

27  03 

2558 

24  55 

23  54 

20 

30 

40  46 

39  II 

3738 

36  09 

34  44 

33  23 

32  04 

30  49 

29  36 

28  27 

27  20 

26  15 

30 

40 

43  18 

41  41 

40  09 

3838 

37  II 

35  49 

3428 

■  33  II 

31  55 

3043 

29  33 

28  26 

40 

50 

45  29 

43  54 

42  21 

40  50 

39  24 

38  00 

36  37 

35  18 

34  02 

■32  47 

31  35 

30  26 

SO 

2 

OO 

47  25 

45  50 

44  18 

42  48 

41  21 

39  57 

38  34 

37  14 

35  56 

^3441 

33  27 

32  16 

2     00 

10 

49  05 

47  32 

46  01 

44  33 

43  06 

41  42 

40  19 

3859 

37  41 

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35  09 

33  56 

10 

20 

50  31 

49  01 

47  31 

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44  39 

43  15 

41  52 

40  33 

39  15 

37  57 

36  41 

35  28 

20 

30 

51  46 

50  18 

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44  37 

43  16 

41  56 

40  38 

39  21 

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30 

40 

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51  24 

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50 

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53  10 

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42  42 

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10 

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53  53 

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10 

20 

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54  28 

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16  55 

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40 

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14  10 

13  48 

13  26 

13  05 

50 

11 

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13  33 

13  14 

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12  33 

12  14 

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II  17 

11     00 

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12  37 

12  17 

II  58 

II  40 

II  22 

II  05 

10  48 

10  31 

10  15 

9  59 

9  42 

9  27 

10 

20 

10  09 

9  54 

9  39 

9  23 

9  09 

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8  41 

8  27 

8  14 

8  01 

748 

736 

20 

30 

7  39 

7  27 

7  16 

7  04 

6  54 

6  43 

632 

6  22 

6  12 

6  01 

5  52 

5  43 

30 

40 

5  07 

4  59 

4  52 

4  44 

4  37 

4  29 

4  22 

4  16 

4  09 

4  02 

3  55 

3  49 

40 
50 

50 

2  33 

2  30 

2  26 

2  22 

2  18 

2  15 

2  12 

2  08 

2  04 

2  01 

I  58 

I  54 

13 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  \orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  knd  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


71 


AZIMUTH  OR  TRUE  BEARING. 


liATITlTDE  16°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  16°. 

Hour  Angle. 

48° 

490 

50° 

51° 

S2° 

S3° 

S4° 

55° 

56° 

S7° 

S8° 

S»° 

Hour  Angle. 

li. 

m. 

o  / 

0  / 

0  f 

0  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  1 

0  ' 

0  r 

b.    ni. 

O 

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0  oo 

0  00 

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0    00 

10 

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2  52 

2  45 

2  37 

2  30 

2  23 

2  17 

2  10 

2  04 

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1 

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6  i6 

5  59 

5  43 

5  27 

5  13 

458 

4  45 

4  33 

4  20 

4  08 

356 

3  46 

20 

1 

30 

9  20 

855 

8  31 

8  08 

7  46 

726 

7  05 

6  46 

6  28 

6  10 

5  54 

538 

30 

( 

40 

12  l8 

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10  44 

10  16 

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40 

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18  02 

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17  50 

17  04 

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14  58 

14  18 

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39  55 

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37  50 

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27  50 

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27  22 

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30  21 

29  34 

2848 

28  02 

27  14 

26  28 

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30 

40 

31  37 

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30  05 

29  19 

28  33 

27  48 

27  03 

26  17 

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24  48 

24  04 

23  20 

40 

50 

30  28 

29  42 

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28  14 

27  30 

26  46 

26  03 

25  18 

24  36 

23  52 

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9 

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29  15 
28  00 

2832 

27  49 

27  05 

26  23 

25  42 

24  59 

24  17 

23  35 

22  53 

22  II 

21  30 

9     00 

lO 

27  17 

26  37 

25  55 

25  14 

24  33 

23  53 

23  II 

22  32 

21  52 

21  12 

20  33 

10 

20 

26  41 

26  01 

25  21 

24  41 

24  01 

23  23 

22  44 

22  05 

21  27 

20  48 

20  10 

19  33 

20 

30 

25  19 

24  41 

24  03 

23  33 

22  47 

22  10 

21  33 

20  56 

20  19 

19  43 

19  06 

18  31 

30 

40 

23  55 

23  18 

22  42 

22  06 

21  30 

20  55 

20  20 

19  44 

19  09 

18  35 

18  01 

17  27 

40 

50 

22  27 

21  53 

21  18 

2044 

20  10 

19  37 

19  04 

18  30 

17  25 

1653 

16  21 

SO 

10 

OO 

20  56 

20  24 

19  52 

19  20 

18  48 

18  17 

17  45 

17  14 

16  44 

16  14 

15  44 

15  14 

10     00 

lO 

19  23 

18  52 

18  22 

17  52 

17  23 

16  54 

16  25 

15  55 

15  28 

14  59 

14  31 

14  03 

10 

20 

17  47 

17  19 

16  51 

16  24 

15  57 

15  29 

15  03 

14  35 

14  10 

13  44 

13  18 

12  52 

20 

30 

16  08 

15  43 

15  17 

14  52 

14  27 

14  02 

13  38 

13  14 

12  51 

12  27 

12  03 

II  40 

30 

40 

14  27 

14  04 

13  41 

13  19 

12  56 

12  34 

12  12 

II  50 

II  29 

II  07 

10  47 

10  26 

40 

SO 

12  44 

12  23 

12  03 

II  43 

II  23 

II  03 

10  44 

10  25 

10  07 

9  47 

9  29 

9  10 

SO 

11 

OO 

10  59 

10  41 

10  23 

10  06 

9  49 

9  32 

9  15 

8  59 

8  42 

8  26 

8  10 

7  54 

11     00 

lO 

9  12 

8  56 

8  42 

827 

5  ^ 

7  59 

7  44 

7  31 

7  17 

7  03 

6  50 

636 

10 

20 

726 

7  II 

6  59 

6  48 

6  36 

6  24 

613 

6  02 

5  51 

5  40 

5  29 

5  18 

20 

30 

5  34 

5  24 

516 

5  07 

458 

4  49 

4  40 

4  32 

4  24 

4  16 

4  07 

3  59 

30 

40 

3  43 

3  37 

3  31 

3  25 

3  19 

3  13 

3  07 

3  01 

^  5Z 

2  51 

2  46 

2  40 

40 

SO 

I  52 

I  49 

I  46 

I  43 

I  40 

I  37 

I  34 

I  31 

I  28 

I  25 

I  22 

I  20 

SO 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


72 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDX:  16°. 

DECUNATION— SAME  NAME  AS- 

LATITUDE. 

liATlTCJDE  16°. 

Hour  Angle. 

60= 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b. 

m. 

0-  1 

0  / 

0  ' 

0  / 

0  ' 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

b.    in. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

I  48 

I  42 

I  38 

I  33 

I  28 

I  23 

I  20 

I  15 

I  II 

I  07 

I  04 

10 

20 

3  35 

3  25 

3  15 

3  06 

2  56 

2  48 

2  39 

2  31 

2  22 

2  15 

2  06 

20 

30 

5  22 

5  06 

4  52 

4  38 

4  24 

4  II 

358 

3  45 

3  32 

3  21 

3  II 

30 

40 

7  07 

6  47 

6  27 

6  09 

5  51 

5  33 

5  16 

4  58 

4  42 

4  27 

4  12 

40 

50 

8  48 

8  24 

8  00 

7  37 

7  15 

6  53 

6  32 

6  II 

5  51 

5  31 

5  12 

50 

1 

OO 

10  29 

10  00 

9  31 

9  04 

8  38 

8  12 

7  47 

7  23 

6  59 

635 

613 

1    00 

10 

12  06 

II  33 

II  01 

10  29 

9  59 

9  30 

9  01 

8  33 

8  06 

738 

I   '3 

10 

20 

13  40 

13  04 

12  27 

II  51 

II  18 

10  45 

10  13 

9  40 

9  10 

8  40 

8  10 

20 

30 

15  II 

14  30 

13  50 

13  12 

12  34 

II  57 

II  22 

10  47 

10  13 

9  40 

9  07 

30 

40 

16  38 

15  53 

15  II 

14  28 

13  48 

13  08 

12  29 

II  51 

II  14 

10  37 

10  01 

40 

50 

18  00 

17  13 

16  27 

15  42 

14  59 

14  16 

13  33 

12  53 

12  13 

II  33 

10  55 

60 

2 

OO 

19  19 

18  29 

17  40 

16  53 

16  06 

15  20 

14  36 

13  52 

13  09 

12  27 

II  46 

2    00 

10 

20  34 

19  41 

18  50 

17  59 

17  II 

16  22 

15  35 

14  48 

14  03 

13  18 

12  34 

10 

20 

21  44 

20  49 

19  55 

19  03 

18  II 

17  21 

16  32 

15  43 

14  56 

14  08 

13  22 

20 

30 

22  50 

21  53 

20  58 

20  03 

19  10 

18  17 

17  26 

16  34 

15  44 

14  55 

14  c6 

30 

40 

23  51 

22  53 

21  55 

21  00 

20  04 

19  09 

18  16 

T^ 

16  31 

15  39 

14  49 

40 

50 

24  48 

23  49 

22  50 

21  52 

20  55 

19  59 

19  04 

17  15 

16  21 

15  29 

50 

3 

OO 

25  41 

24  40 

23  40 

22  41 

21  43 

20  45 

19  49 

18  52 

^m 

17  01 

16  08 

3    00 

10 

26  30 

25  28 

24  27 

23  27 

22  27 

21  28 

20  30 

19  33 

1836 

17  38 

16  43 

10 

20 

27  15 

26  12 

25  10 

24  09 

23  08 

22  08 

21  08 

20  09 

19 II 

18  13 

17  16 

20 

30 

27  55 

26  52 

25  49 

24  47 

23  45 

22  44 

21  43 

20  44 

19  44 

18  46 

17  47 

30 

40 

28  32 

27  28 

26  24 

25  22 

•  24  19 

23  17 

22  16 

21 15 

20 15 

19  15 

18  15 

40 

• 

50 

29  04 

28  00 

26  56 

25  53 

24  50 

23  47 

22  46 

21 44 

20  43 

19  42 

18  41 

50 

4 

OO 

29  34 

28  29 

27  25 

26  21 

25  17 

24  14 

23  12 

22 10 

21  08 

20  06 

19  05 

4    00 

lO 

29  5» 

2854 

27  49 

26  45 

25  41 

24  38 

23  35 

22  32 

21  30 

20  28 

19  26 

10 

20 

30  20 

29  16 

28  II 

27  07 

•26  03 

24  59 

23  56 

22  53 

21  50 

20  47 

19  45 

20 

30 

30  39 

29  34 

28  29 

27  25 

26  21 

25  17 

24  13 

23 10 

22  07 

21  04 

20  02 

30 

40 

30  53 

29  49 

28  44 

27  40 

26  36 

25  32 

24  29 

23  25 

22  21 

21  18 

20  16 

40 

50 

31  05 

30  01 

28  56 

27  52 

26  48 

25  44 

24  41 

23  36 

22  33 

21  30 

20  27 

50 

6 

OO 

31  13 

30  10 

29  05 

28  02 

26  57 

25  54 

24  50 

23  46 

22  43 

21  39 

20  36 

5    00 

10 

31  19 

30  15 

29  II 

28  07 

27  04 

26  00 

24  57 

23  54 

22  50 

21  46 

20  43 

10 

20 

31  21 

30  17 

29  13 

28  10 

27  07 

26  04 

25  01 

23  57 

22  55 

21  51 

20  47 

20 

30 

31  19 

30  16 

29  13 

28  10 

27  08 

26  05 

25  03 

24  00 

22  57 

21  54 

20  51 

30 

40 

31  16 

30  13 

29  II 

28  09 

27  06 

26  04 

25  02 

23  58 

22  56 

21  53 

20  50 

40 

50 

31  09 

30  07 

29  05 

28  03 

27  01 

26  00 

24  58 

23  55 

22  54 

21  51 

20  48 

50 

6 

OO 

30  59 

29  58 

28  56 

27  55 

26  54 

25  53 

24  51 

23  50 

22  48 

21  46 

20  44 

6    00 

lO 

30  47 

29  47 

28  46 

27  45 

26  45 

25  44 

24  43 

23  42 

22  41 

21  39 

20  38 

10 

20 

30  32 

29  33 

28  32 

27  33 

26  32 

25  32 

24  32 

23  31 

22  31 

21  30 

20  30 

20 

30 

30  14 

29  15 

28  15 

27  17 

26  17 

25  18 

24  19 

23 19 

22  20 

21  20 

20  19 

30 

40 

29  54 

28  56 

27  57 

2658 

26  00 

25  01 

24  03 

23  04 

22  05 

21  06 

20  07 

40 

50 

29  31 

28  33 

27  35 

26  38 

25  40 

24  43 

23  45 

22  47 

21  49 

20  51 

19  52 

60 

7 

OO 

28  09 

27  12 

26  15 

25  19 

24  23 

23  25 

22  28 

21  31 

20  33 

19  36 

7     00 

lO 

2^05 

27  42 

26  46 

25  50 

24  54 

2358 

23  03 

22  07 

21  II 

20  14 

19  18 

10 

20 

28  06 

27  12 

26  17 

25  23 

24  28 

23  33 

22  39 

21 44 

20  49 

19  53 

18  58 

20 

30 

27  34 

26  40 

25  47 

24  53 

23  59 

23  06 

22  II 

21 17 

20  24 

19  30 

18  35 

30 

40 

26  58 

26  06 

25  13 

24  21 

23  28 

22  35 

21  43 

20  50 

19  58 

19  05 

18  II 

40 

50 

26  20 

25  29 

-  24  38 

23  46 

22  54 

22  03 

21  13 

20  21 

19  29 

18  38 

17  47 

50 

8 

OO 

25  40 

24  49 

23  59 

23  09 

22  20 

21  29 

20  40 

19  50 

19  00 

18  08 

17  18 

8     00 

10 

24  57 

24  08 

23  20 

22  31 

21  43 

20  53 

20  05 

19 16 

18  28 

17  39 

16  50 

10 

20 

24  12 

23  25 

22  37 

21  49 

21  03 

20  16 

19  29 

18  40 

17  54 

17  06 

16  19 

20 

30 

23  24 

22  39 

21  52 

21  07 

20  21 

19  36 

18  50 

18  03 

17  18 

16  32 

15  47 

30 

40 

22  35 

21  50 

21  06 

20  22 

1938 

18  54 

18  10 

17  25 

16  41 

15  56 

15  12 

40 

50 

21  43 

21  00 

20  17 

19  35 

18  52 

18  09 

17  28 

16  44 

l6  02 

15  19 

14  37 

50 

9 

OO 

20  50 

20  08 

19  26 

18  46 

18  05 

17  24 

16  44 

16  03 

15  22 

14  41 

14  10 

9     00 

10 

19  54 

19  14 

18  34 

17  55 

17  15 

16  37 

15  58 

15 19 

14  40 

14  00 

13  22 

10 

20 

18  55 

18  17 

17  40 

17  03 

16  25 

15  47 

15  II 

14  33 

13  56 

13  20 

12  42 

20 

30 

17  55 

17  18 

16  43 

16  08 

15  32 

14  57 

14  22 

13  47 

13  12 

12  36 

12  01 

30 

40 

16  52 

16  19 

15  44 

15  12 

14  38 

14  05 

13  31 

12  58 

12  25 

II  52 

II  19 

40 
50 

50 

15  49 

15  17 

14  45 

14  14 

13  42 

13  II 

12  40 

12  08 

II  38 

II  07 

10  36 

lO 

OO 

14  43 

14  13 

13  44 

13  15 

12  45 

12  16 

II  47 

II 18 

10  49 

10  20 

9  51 

10     00 

lO 

13  36 

13  00 

12  40 

12  14 

II  46 

II  19 

10  53 

10  26 

9  59 

9  32 

9  06 

10 

20 

12  27 

12  02 

II  36 

II  12 

10  46 

10  22 

9  57 

9  32 

9  08 

8  43 

8  19 

20 

30 

11  17 

10  54 

10  30 

10  08 

9  45 

9  23 

9  01 

8  39 

8  16 

7  54 

7  32 

30 

40 

10  04 

9  44 

9  24 

9  04 

8  43 

8  23 

8  03 

7  43 

7  24 

7  04 

6  43 

40 

50 

852 

8  34 

8  15 

758 

7  40 

7  22 

7  05 

6  47 

6  30 

6  12 

5  54 

50 

11 

OO 

738 

7  22 

7  07 

651 

636 

6  21 

6  06 

5  50 

536 

5  21 

506 

11     00 

10 

6  23 

6  10 

5  57 

5  44 

5  31 

5  18 

5  05 

4  53 

4  40 

4  27 

4  16 

10 

20 

5  07 

4  57 

4  47 

4  36 

4  25 

4  15 

4  06 

3  55 

3  45 

3  35 

3  24 

20 

30 

3  51 

3  43 

336 

3  28 

3  19 

3  12 

3  04 

2  57 

2  49 

2  42 

2  34 

30 

40 

2  35 

2  29 

2  23 

2  18 

2  13 

2  08 

2  03 

I  58 

I  52 

I  48 

1  43 

40 

SO 

I  17 

I  15 

I  12 

I  09 

I  07 

I  04 

I  02 

0  59 

0  57 

0  53 

0  51 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East,  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


73 


AZIMUTH  OR  TRUE  BEARING. 


IjATITUDE  17°. 


DECLINATION— SAME  NAME  AS— LATITUDE. 


LATITUDE  17°. 


Hour  Angle. 


b. 
O 


lO 


11 


12 


OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
30 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
SO 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


24° 


O   OO 

i8  05 
32  56 
43  51 
51  34 
57  03 

61  01 
6358 

66  II 

67  52 

69  10 

70  II 

70  58 

71  34 

72  00 
72  20 
72  34 
72  43 

72  47 
72  47 
72  46 
72  39 
72  31 
72  20 

72  07 
71  51 
71  33 
71  14 
70  53 
70  30 

70  05 

69  37 
69  09 

68  39 
68  07 
67  32 


25= 


66 

S6 

66 

18 

6538 

64  56 

64 

II 

63 

23 

62 

M 

61 

42 

60 

46 

59 

48 

58 

47 

57  42  1 

56 

34 

55 

21 

54  04 

52  44 

51 

19 

49  47  1 

48 

II 

46 

30 

44  41 

42  47 

40 

46 

3838I 

36 

22 

33  59  1 

31 

28 

28 

48 

26 

02 

23  07  1 

20 

04 

16 

55 

13  40  1 

10 

21 

6 

56 

3 

29 

0 

00 

15  50 
29  24 

39  54 
47  42 
53  27 

57  43 
60  56 

63  25 

65  20 

66  50 

68  00 

6855 

69  39 

70  12 
70  38 

70  57 

71  10 

71  18 

71  23 

71  23 

71  20 

71  14 

71  06 

70  55 
70  41 
70  25 
70  07 
6948 
69  26 

69  01 
68  s6 
68  09 

67  39 
67  07 

6633 

6558 
65  21 

64  41 
6358 
63  14 
62  27 

61  38 
60  46 
59  50 
5853 
57  51 
56  47 

5538 
54  26 
53  09 
51  49 
50  23 
-18  53 

47  18 
45  36 
43  49 
41  56 
39  55 
3748 

35  34 
33  12 
30  44 
28  07 
25  24 
22  33 

19  33 
16  29 

13  19 
10  04 
6  45 
3  23 
o  00 


26° 


27° 


o  00 
14  03 

26  28 

36  29 
44  13 
50  07 

54  36 
5803 

60  44 

62  51 

64  31 

65  51 

66  54 

67  45 

68  25 

68  56 

69  21 
69  38 

69  51 
6958 

70  01 
70  01 
6958 
69  52 

69  42 
69  30 
69  17 
69  01 
68  42 
68  21 

67  59 
''7  34 
67  07 
66  39 
66  08 
65  35 

65  00 
64  22 

63  43 
63  01 
62  17 

61  31 

60  42 
59  50 

5855 
57  58 
56  57 
55  52 

54  44 
53  32 
52  15 
50  55 
49  30 


47 

59 

46 

25 

44  44 

42  58 

41 

05 

39 

06 

37 

01 

34  47  1 

32 

28 

30 

02 

27 

27 

24 

46 

21 

58 

19  04  1 

16 

03 

12 

S8 

9 

48 

6 

33 

3 

18 

0 

c» 

o  00 

12  36 

23  59 
3328 
41  04 
47  00 

51  38 
55  16 
5808 

60  26 

62  16 

63  44 

64  55 

65  53 

66  38 

67  14 

67  43 

68  06 

68  22 
6833 
6839 
6843 
68  41 

63  37 

6830 
68  21 
68  08 
67  54 
6736 
67  17 

6655 
66  31 
66  06 
6538 
65  08 

64  36 

64  01 
63  25 
62  46 
62  04. 

61  20 
60  35 

59  45 
5853 
57  59 
57  02 
56  01 
54  57 

53  49 
52  37 
51  21 
50  01 
v8  36 
47  07 

45  32 
43  51 
42  06 
40  14 
38  16 
36  13 

34  01 
31  45 
29  19 
26  49 
24  10 
21  25 

18  34 
15  38 
12  38 
9  32 
6  23 
3  12 
o  00 


28° 


29° 


o  00 
II  24 
21  51 

30  50  ' 
38  13 
44  08 

48  51 
52  38 
55  39 

58  05 

60  03 

61  39 

62  57 
64  00 

64  52 

65  34 

66  07 

66  34 

6653 

67  08 
67  17 
67  23 
67  25 
67  22 

67  18 
67  10 

6659 
66  46 
66  30 
66  13 

65  52 
65  29 
65  04 

64  37 
64  08 

63  37 

63  03 
62  27 
61  49 
6i  08 
60  24 

59  38 


o  00 
10  24 
20  03 
28  31 
35  39 
41  30 

46  15 
50  07 
53  15 
55  49 
57  54 

59  37 

61  01 

62  II 

63  oS 

63  54 

64  32 

65  02 

65  25 

65  43 
6556 

66  04 
66  08 
66  oS 

66  05 
65  59 
65  51 
6538 
65  24 
65  08 

64  48 
64  27 
64  03 
6336 
63  08 
62  37 

62  04 
61  29 

60  52 
60  II 
59  27 
5843 


30° 


5850 

57  54 

57  58 

57  03 

57  05 

56  09 

56  07 

55  13 

55  07 

54  12 

54  03 

53  08 

52  54 

52  01 

51  44 

50  50 

50  27 

49  34 

49  08 

48  15 

47  44 

4651 

46  15 

45  23 

44  40 

43  49 

43  01 

42  10 

41  16 

40  27 

39  26 

3838 

37  29 

36  42 

35  26 

34  40 

33  17 

32  33 

31  03 

30  21 

2839 

28  00 

26  II 

25  33 

23  35 

23  01 

20  54 

20  24 

18  07 

17  40 

15  14 

14  52 

12  18 

II  59 

9  18 

9  02 

613 

6  03 

3  07 

3  02 

0  00 

0  00 

o  00 

9  31 
18  29 
26  28 
33  19 
39  04 

43  49 

47  44 

50  57 
53  37 

55  48 

57  37 

5908 

60  23 

61  24 

62  16 

62  57 

63  31 

6358 

64  19 
64  34 
64  45 
64  52 
64  54 

64  53 
64  49 
64  41 

64  31 
64  18 
64  03 

63  45 
63  24 
63  01 
62  36 
62  08 
61  38 

61  06 
60  31 
59  54 
59  14 

58  31 
57  46 

5658 

56  OS 
55  15 
54  18 
53  17 
52  14 

51  07 
49  57 
48  41 
47  23 
45  59 
44  31 

42  58 
41  21 
39  38 
37  50 
35  55 
33  55 

31  50 
29  39 
27  21 

24  58 
22  28 
19  54 

17  14 
14  30 
II  41 
8  48 
5  54 
258 
o  00 


31' 


8  46 
17  05 
2438 
31  13 
36  49 

41  32 

45  28 

48  45 

51  29 

53  47 

55  40 

57  16 

58  35 

59  42 

60  38 

61  23 

62  01 

62  31 

62  55 

63  13 
63  27 
63  36 
63  40 

63  41 
6338 
63  32 
63  24 
63  13 
62  58 

62  41 
62  22 
62  00 
61  35 
61  08 
60  39 

6o  07 

59  33 
58  57 
58  17 
57  35 

56  50 

56  03 
55  13 

54  20 
53  23 

52  24 
51  20 

50  14 

49  04 
47  50 
46  31 
45  08 
43  41 

42  09 
40  32 
38  50 
37  03 
35  10 
33  12 

31  08 
28  59 
26  43 
24  23 
21  56 
19  24 

16  49 
14  oS 
II  23 
835 
5  45 
2  53 
o  00 


32° 


33° 


34°        35° 


8  08 
15  53 
22  59 
29  17 
34  45 

39  24 
43  20 
46  39 

49  27 

51  48 

53  46 

55  26 

56  51 

58  01 

59  01 

59  50 

60  31 

61  04 

61  31 
6i  52 

62  08 
62  19 
62  26 

62  29 
62  28 
62  24 
62  16 
62  06 
61  53 

61  37 
61  19 
60  58 
60  34 
60  08 
59  40 

5908 
58  35 

57  59 
57  20 
5638 
55  55 

55  08 

54  18  ; 
53  25  I 

52  28 
51  30 

50  27 

49  21 

48  II 
46  57  . 
45  39 
44  17 
42  50 

41  19 

39  43 
3803 

36  17 
34  26 
32  28 

30  27 
28  19 
25  57 
23  48 
21  25 
1856 

16  23 

13  46 
II  06 
8  22 
5  36 


o  00 

7  33 
14  48 
21  31 
27  32 
32  49 

37  23 

41  19 
44  39 

47  29 

49  54 

51  55 

53  40 

5508 

56  22 

57  26 

58  18 

59  02 

5938 

60  08 
60  31 

60  49 

61  03 
61  II 

61  16 
6i  17 
61  15 
61  08 
61  00 
60  48 

60  33 
60  16 
59  56 
59  33 
59  03 
58  40 

58  10 
57  36 
57  01 
56  23 
55  42 
5458 

54  12 
53  23 

52  30 
51  34 

50  36 
49  34 

48  28 
47  19 
46  06 
44  48 
43  27 

42  01 

40  31 

3856 
37  16 
35  31 
33  42 
31  46 

29  47 
27  41 
25  30 
23  15 
20  54 
18  29 

16  00 
13  26 
10  49 


5  28 
2  44 

O  CO 


O  00 

7  02 

13  51 
20  II 

25  56 
31  03 

35  31 
39  24 

42  44 

45  35 

48  02 

50  07 

51  55 

53  27 

54  44 

55  51 

56  47 

57  34 

58  13 

58  44 

59  II 
59  31 
59  46 

59  57 

60  04 
60  06 
60  05 
60  01 
59  53 
59  43 

59  29 

59  13 
58  53 
5831 
58  07 
57  41 

57  II 
5638 
56  04 
55  26 
54  46 
54  03 

53  16 

52  23 
51  36 
50  40 

49  42 
48  40 

47  35 

46  26 

45  14 

43  57 
42  36 

41  12 

39  42 

38  07 

36  29 
34  46 
3258 
31  04 

29  06 
27  02 
24  54 
22  42 
20  24 
18  01 

15  36 
13  05 
10  33 
7  57 
5  19 
2  40 
o  00 


O  00 

6  36 
12  58 
1858 
24  29 
29  24 

33  45 
37  36 

40  55 

43  46 

46  15 

48  23 

50  13 

51  48 

53  08 

54  18 

55  16 

56  05 

5648 

57  22 

57  50 

58  13 
58  30 
5843 

5852 
5856 
5856 
58  53 
5847 
58  38 

58  25 
58  10 
57  52 
57  31 
57  08 
56  41 

56  12 
55  40 
55  06 
54  28 
53  49 
53  07 

52  21 
51  33 
50  41 

49  46 
48  48 

47  47 

46  43 
45  35 

44  22 
43  07 

41  47 
40  22 

38  54 
37  21 
35  44 
34  02 
32  15 
30  24 

28  27 
26  26 
24  20 
22  10 
19  55 
17  36 

15  13 
12  46 
10  17 
7  45 

2  36 
o  00 


Hoar  Angle. 


b. 
O 


10 


11 


12 


m. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  -North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East:  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


74 


AZIMUTH  OR  TRUE   BEARING. 


liATITUDE:  17°. 

DECIvINATION- 

-vSAME  NAME  AS— LATITUDE. 

LATITUDE  17°. 

i  Hour  Angle. 

36° 

37° 

38P 

39° 

40° 

41° 

43° 

43° 

44°' 

45° 

46° 

47° 

Hour  Angle. 

i    li.    m. 

0   / 

0  / 

0  / 

0  / 

0  / 

0  f 

0  / 

0  / 

0  r 

0  / 

0  / 

0  / 

li.    ni. 

O     OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

6  II 

5  48 

5  29 

5  10 

4  53 

4  38 

4  23 

4  09 

3  57 

3  45 

3  34 

3  24 

10 

ao 

12  II 

II  29 

10  50 

10  13 

9  41 

9  10 

8  41 

8  15 

7  51 

728 

7  06 

646 

ao 

1          30 

17  52 

16  51 

15  56 

15  04 

14  17 

13  33 

12  52 

12  14 

11  38 

II  04 

10  33 

10  03 

30 

1          40 

23  07 

21  52 

20  43 

19  38 

18  39 

17  43 

16  51 

16  03 

15  17 

14  34 

13  54 

13  15 

40 

i                         50 

-  ! 

27  52 

26  27 

25  07 

23  52 

22  43 

21  38 

20  36 

19  39 

18  45 

17  53 

17  04 

16  18 

50 

j   j.  1     OO 

32  07 

30  34 

29  07 

27  45 

26  27 

25  14 

24  06 

23  00 

21  59 

21  00 

20  05 

19  12 

1    00 

i          10 

35  52 

34  15 

32  42 

31  14 

29  52 

28  33 

27  19 

26  08 

25  00 

23  56 

22  55 

21  56 

10 

1  .  .       30 

39  09 

37  29 

35  54 

34  23 

32  56 

31  34 

30  15 

29  00 

27  47 

26  39 

25  33 

24  29 

ao 

!          30 

42  01 

40  21 

38  45 

37  12 

35  43 

34  17 

3256 

31  37 

30  21 

29  09 

27  59 

26  52 

30 

40 

44  31 

42  51 

41  14 

39  41 

38  10 

36  44 

35  20 

33  59 

32  42 

31  26 

30  14 

29  04 

40 

50 

46  41 

45  02 

43  26 

41  52 

40  22 

38  55 

37  30 

36  08 

34  48 

33  31 

32  17 

31  04 

50 

a    oo 

48  33 

46  56 

45  21 

43  49 

42  19 

40  51 

39  26 

38  03 

36  43 

35  25 

34  09 

32  55 

a   00 

lO 

50  10 

4835 

47  01 

45  31 

44  01 

42  35 

41  10 

39  47 

38  26 

37  07 

35  51 

34  36 

10 

ao 

51  34 

50  01 

48  30 

46  59 

45  32 

44  06 

42  42 

41  20 

3958 

38  40 

37  23 

36  07 

ao 

30 

52  45 

51  14 

49  46 

48  18 

46  52 

45  27 

44  04 

42  42 

41  21 

40  03 

38  46 

37  30 

30 

40 

53  47 

52  19 

50  51 

49  25 

48  01 

46  37 

45  16 

43  54 

42  34 

41  17 

40  00 

38  43 

40 

60 

54  39 

53  13 

51  48 

50  24 

49  01 

47  39 

45  18 

4458 

43  39 

42  22 

41  06 

39  49 

60 

3     OO 

55  23 

54  00 

52  37 

51  15 

49  53 

48  33 

47  13 

45  54 

44  37 

43  20 

42  04 

40  49 

3   00 

10 

56  00 

54  39 

53  17 

51  58 

50  38 

49  19 

48  01 

46  43 

45  27 

44  II 

42  55 

41  41 

10 

ao 

56  30 

55  11 

53  52 

52  34 

51  15 

4958 

48  42 

47  25 

46  10 

44  55 

43  40 

42  27 

ao 

30 

56  55 

5538 

54  21 

53  04 

51  48 

50  32 

49  17 

48  01 

46  47 

45  33 

44  20 

43  07 

30 

40 

57  15 

55  59 

54  44 

53  28 

52  13 

50  59 

49  45 

4^31 

47  18 

46  05 

44  53 

43  41 

40 

60 

57  29 

56  16 

55  01 

53  48 

52  34 

51  21 

50  09 

4856 

47  44 

46  33 

45  21 

44  10 

50 

4     OO 

57  39 

56  27 

55  15 

54  03 

52  51 

51  39 

50  28 

49  16 

48  05 

46  55 

45  44 

44  33 

4    00 

lO 

57  45 

56  34 

55  24 

54  13 

53  02 

51  52 

50  42 

49  32 

48  21 

47  13 

46  03 

44  53 

10 

ao 

57  46 

56  37 

55  29 

54  19 

53  10 

52  00 

50  52 

49  43 

48  34 

47  25 

46  16 

45  08 

ao 

30 

57  45 

56  37 

55  30 

54  22 

53  14 

52  06 

5058 

49  49 

48  42 

47  34 

46  27 

45  19 

30 

40 

57  40 

56  34 

55  27 

54  20 

53  13 

52  07 

51  00 

49  53 

48  46 

47  40 

46  33 

45  26 

40 

60 

57  32 

56  27 

55  21 

54  15 

53  09 

52  04 

50  59 

49  52 

48  46 

47  41 

46  35 

45  29 

50 

6     OO 

57  20 

56  16 

55  12 

54  07 

53  03 

51  58 

50  54 

49  48 

48  43 

4738 

46  34 

45  29 

5   00 

lO 

57  07 

56  03 

55  00 

53  56 

52  52 

51  48 

50  45 

49  41 

48  37 

47  34 

46  29 

45  25 

10 

ao 

56  49 

55  46 

54  44 

53  41 

52  38 

51  36 

50  33 

49  30 

4827 

47  25 

46  21 

45  18 

ao 

30 

56  29 

55  27 

54  26 

53  24 

52  22 

51  20 

50  18 

49  10 

48  14 

47  12 

46  09 

45  07 

30 

40 

56  06 

55  06 

54  05 

53  04 

52  03 

51  01 

50  01 

48  59 

4758 

46  57 

45  55 

44  53 

40 

60 

55  41 

54  41 

53  41 

52  41 

51  41 

50  40 

49  40 

48  39 

47  39 

4638 

4538 

44  37 

60 

6     OO 

55  13 

54  13 

53  14 

52  14 

51  15 

50  16 

49  16 

48  16 

47  16 

46  17 

45  17 

44  17 

6     00 

10 

54  41 

53  43 

52  44 

51  46 

50  47 

49  48 

48  50 

47  50 

46  52 

45  52 

44  53 

43  54 

10 

ao 

5408 

53  10 

52  12 

51  14 

50  16 

49  19 

48  21 

47  22 

46  23 

45  25 

44  26 

43  27 

ao 

30 

53  32 

52  35 

51  37 

50  40 

49  42 

48  45 

47  48 

46  50 

45  52 

44  55 

43  57 

42  59 

30 

40 

52  52 

51  56 

50  59 

50  02 

49  05 

48  09 

47  12 

46  15 

45  18 

44  22 

43  25 

42  27 

40 

50 

52  II 

51  15 

50  18 

49  22 

48  26 

47  30 

46  34 

45  37 

44  42 

43  45 

42  49 

41  53 

50 

7     OO 

51  26 

50  31 

49  34 

48  39 

47  43 

46  48 

45  53 

44  57 

44  01 

43  07 

42  II 

41  15 

7    00 

lO 

50  37 

49  43 
4853 

48  48 

47  53 

46  57 

46  03 

45  09 

44  13 

43  19 

42  25 

41  29 

40  34 

10 

ao 

49  47 

47  58 

47  04 

46  09 

45  15 

44  21 

43  28 

42  33 

41  39 

40  45 

39  51 

ao 
30 

30 

48  53 

47  59 

47  05 

46  II 

45  18 

44  24 

43  31 

42  37 

41  44 

40  51 

39  58 

39  05 

40 

47  55 

47  02 

46  09 

45  16 

44  23 

43  30 

4238 

41  45 

40  52 

40  00 

39  08 

38  16 

40 

50 

46  55 

46  62 

45  10 

44  17 

43  25 

42  33 

41  41 

40  49 

3958 

39  07 

38  15 

37  23 

50 

8     OO 

45  50 

44  59 

44  07 

43  14 

42  23 

41  33 

40  42 

J  48 

39  00 

38  09 

37  18 

36  27 

8     00 
10 

lO 

44  43 

43  52 

43  00 

42  09 

41  19 

40  28 

39  39 

37  58 

37  09 

36  19 

35  30 

ao 

43  32 

42  41 

41  52 

41  00 

40  II 

39  21 

38  32 

37  43 

3656 

36  05 

35  16 

34  28 

ao 

30 

42  16 

41  27 

40  37 

39  48 

3859 

38  10 

37  23 

36  34 

35  45 

34  58 

34  10 

33  23 

30 

40 

40  57 

40  08 

39  20 

38  31 

37  44 

36  55 

36  09 

35  22 

34  34 

33  48 

33  01 

32  16 

•    40 

50 

39  35 

3846 

37  58 

37  II 

36  24 

3538 

34  51 

34  06 

33  20 

32  35 

31  49 

31  05 

50 

9     OO 

38  07 

37  20 

36  33 

35  46 

35  01 

34  16 

33  31 

32  46 

32  02 

31  18 

30  34 

29  51 

9   00 
10 
ao 
30 
40 
60 

lO 

36  35 

35  49 

35  04 

34  19 

33  34 

32  50 

32  07 

31  23 

30  40 

2958 

29  15 

28  34 

ao 

34  59 

34  15 

33  30 

32  46 

32  04 

31  21 

30  39 

29  57 

29  15 

28  35 

'I   54 

27  14 

30 

33  18 

32  35 

31  53 

31  10 

30  29 

29  47 

29  07 

28  27 

27  47 

27  08 

26  28 

25  50 

40 

31  32 

30  52 

30  II 

29  30 

28  50 

28  II 

27  32 

2653 

26  15 

25  38 

25  00 

24  23 

50 

29  43 

29  04 

28  24 

27  45 

27  07 

26  29 

25  53 

25  16 

24  40 

24  04 

23  28 

22  54 

10   oo 

27  48 

27  12 

26  34 

25  57 

25  21 

24  45 

24  10 

23  35 

23  01 

22  28 

21  54 

21  21 

10   00 

10 

25  49 

25  14 

24  38 

24  04 

23  30 

22  56 

22  24 

21  51 

21  19 

20  48 

20  16 

19  46 

10 
ao 

ao 

23  47 

23  13 

22  41 

22  07 

21  36 

21  05 

20  35 

20  04 

19  35 

19  05 

18  36 

18  09 

30 

21  38 

21  08 

20  38 

20  07 

19  38 

19  10 

18  42 

18  14 

17  47 

17  20 

16  53 

16  28 

30 

40 

19  26 

1858 

18  31 

18  03 

17  37 

17  II 

16  45 

16  21 

15  56 

15  32 

15  07 

14  44 

40 

50 

50 

17  09 

16  45 

16  20 

15  56 

15  32 

15  09 

14  46 

14  25 

14  03 

13  39 

13  16 

12  53 

11    oo 

14  51 

14  28 

14  07 

13  45 

13  25 

13  04 

12  45 

12  25 

12  06 

II  48 

II  29 

II  12 

11     00 
10 

10 

12  28 

12  09 

11  51 

II  33 

11  16 

10  59 

10  41 

10  25 

10  09 

9  54 

9  37 

9  22 

ao 

10  02 

9  46 

9  31 

9  17 

9  03 

8  50 

8  36 

8  23 

8  10 

7  57 

7  44 

7  32 

ao 

30 

7  33 

7  22 

7  II 

6  59 

6  49 

638 

6  28 

6  18 

6  08 

5  58 

5  49 

5  40 

30 

40 

50 

40 

5  03 

4  56 

4  48 

4  41 

4  33 

4  26 

4  20 

4  13 

4  06 

4  00 

3  53 

3  47 

60 

2  32 

2  28 

2  25 

2  21 

2  17 

2  13 

2  II 

2  07 

2  04 

2  00 

I  57 

I  54 

la   oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

la   00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  WesC  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplemetit  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


75 


AZIMUTH  OR  TRUE  BEARING. 


liATITl'DE  17°. 

DECLINATIOX- 

-SAME  NAME  AS  -LATITUDE. 

1 

latitude:  17°.  1 

Hour  Angle. 

48° 

490 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

5»° 

Hour  Angle. 

li. 

lU. 

o  / 

0  » 

0  1 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  r 

0  / 

h.    m. 

O 

OO 

0  OO 

0  00 

0  00 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

3  14 

3  05 

257 

2  48 

2  40 

2  34 

2  26 

2  19 

2  13 

2  07 

2  01 

I  56 

10 

20 

6  27 

6  09 

5  52 

5  35 

5  20 

5  05 

4  52 

4  39 

4  25 

4  13 
6  18 

4  01 

3  50 

20 

30 

■  9  35 

909 

8  44 

8  20 

7  57 

7  35 

7  15 

655 

636 

6  01 

5  44 

30 

40 

12  38 

12  05 

II  32 

II  00 

10  31 

10  03 

9  35 

9  09 

844 

8  21 

758 

735 

40 

50 

15  34 

14  53 

14  14 

13  36 

13  00 

12  24 

II  52 

II  20 

ID  50 

ID  20 

9  52 

9  24 

50 

1 

OO 

18  22 

17  34 

16  48 

16  04 

15  22 

14  42 

14  03 

13  26 

12  50 

12  16 

II  43 

11  11 

1    00 

lO 

21  00 

20  07 

19  15 

18  26 

17  39 

16  54 

16  10 

15  28 

14  47 

14  08 

13  31 

12  54 

10 

20 

23  29 

22  31 

21  34 

20  41 

19  49 

18  59 

18  10 

17  25 

16  39 

15  55 

15  14 

14  34 

20 

30 

25  47 

24  45 

23  45 

22  48 

21  52 

20  58 

20  05 

19  16 

18  27 

17  39 

16  54 

16  10 

30 

40 

27  56 

26  50 

2548 

24  47 

23  47 

22  50 

21  54 

21  00 

20  oS 

19  17 

18  28 

17  40 

40 

50 

2954 

28  46 

27  41 

26  37 

25  35 

24  34 

23  36 

22  39 

21  44 

20  50 

1958 

19  07 

50 

2 

OO 

31  43 

30  34 

29  26 

28  20 

27  15 

26  12 

25  12 

24  13 

23  14 

22  18 

21  23 

20  30 

2     00 

lO 

33  23 

32  II 

31  02 

29  55 

28  48 

27  43 

26  40 

25  39 

24  39 

23  40 

22  42 

21  46 

10 

20 

34  53 

33  41 

32  31 

31  21 

30  14 

29  07 

28  02 

27  00 

25  58 

24  56 

23  57 

22  59 

20 

30 

36  15 

35  03 

33  52 

32  41 

31  32 

30  25 

29  18 

28  14 

27  10 

2608 

25  08 

24  07 

30 

40 

37  30 

36  16 

35  04 

33  54 

3244 

31  36 

30  29 

29  23 

28  18 

27  15 

26  13 

25  10 

40 

50 

3835 

37  22 

36  10 

34  59 

33  50 

32  40 

31  32 

30  26 

29  20 

28  15 

27  12 

26  09 

50 

3 

00 

39  35 

38  22 

37  09 

3558 

3448 

3338 

32  30 

31  24 

30  17 

29  II 

28  06 

27  04 

3     00 

lO 

40  28 

39  15 

38,03 

36  52 

35  41 

34  32 

33  23 

32  16 

31  09 

30  02 

2857 

27  52 

10 

20 

41  13 

40  02 

■3850 

37  39 

36  29 

35  20 

34  II 

33  03 

31  55 

30  48 

29  42 

28  35 

20 

30 

41  54 

40  42 

39  31 

38  21 

37  II 

36  01 

34  53 

33  45 

32  37 

31  30 

30  24 

29  18 

30 

40 

42  29 

41  18 

40  07 

3857 

3748 

3638 

35  30 

34  22 

33  14 

32  07 

31  01 

29  55 

40 

50 

42  59 

41  49 

4038 

39  29 

38  20 

37  10 

36  03 

34  55 

33  47 

32  39 

31  34 

30  28 

50 

4 

OO 

43  23 

42  14 

41  05 

39  56 

3847 

3738 

36  31 

35  23 

34  15 

33  09 

32  02 

30  56 

4     00 

lO 

43  44 

42  35 

41  26 

40  19 

39  10 

38  02 

3654 

35  47 

34  40 

33  33 

32  27 

31  21 

10 

20 

44  00 

42  52 

41  43 

40  36 

39  29 

38  21 

37  14 

3608 

35  00 

33  53 

3248 

31  42 

20 

SO 

44  12 

43  05 

41  58 

40  50 

39  43 

3836 

37  30 

36  24 

35  16 

34  10 

33  05 

31  59 

30 

40 

44  19 

43  13 

42  07 

41  00 

39  54 

3847 

37  42 

3636 

35  30 

34  24 

33  18 

32  13 

40 

SO 

44  24 

43  17 

42  12 

41  07 

40  01 

38  55 

37  49 

36  44 

35  38 

34  33 

33  29 

32  23 

50 

5 

OO 

44  24 

43  19 

42  14 

41  09 

40  04 

3859 

37  54 

36  50 

35  45 

•34  40 

33  36 

32  31 

5     00 

lO 

44  20 

43  17 

42  12 

41  08 

40  04 

39  00 

38  57 

37  56 

36  52 

35  47 

34  43 

33  39 

32  35 

10 

20 

44  14 

43  " 

42  08 

41  04 

40  01 

37  53 

36  50 

35  46 

34  42 

33  39 

32  36 

20 

30 

44  04 

43  03 

42  00 

40  57 

39  54 

3851 

3f  45 

35  42 

34  39 

33  36 

32  33 

30 

40 

43  52 

42  49 

41  48 

40  46 

39  45 

3842 

37  40 

3638 

35  35 

34  32 

33  30 

32  28 

40 

50 

43  36 

42  35 

41  34 

40  33 

39  31 

38  29 

37  28 

36  27 

35  25 

34  23 

33  22 

32  20 

50 

6 

OO 

43  16 

42  17 

41  16 

40  16 

39  15 

38  14 

37  13 

36  13 

35  12 

34  II 

33  10 

32  09 

6     00 

lO 

42  55 

41  55 

40  56 

39  56 

3856 

37  56 

36  55 

35  56 

34  55 

33  55 

32  56 

31  55 

10 

20 

42  29 

41  31 

40  32 

39  33 

3834 

37  35 

3636 

35  37 

34  37 

33  37 

32  39 

31  39 

20 

30 

42  01 

41  03 

40  05 

39  07 

3809 

37  II 

36  13 

35  14 

34  15 

33  17 

32  18 

31  19 

30 

40 

41  31 

40  33 

39  36 

3839 

37  42 

36  44 

35  46 

34  49 

33  50 

32  53 

31  56 

?o  57 

40 

50 

40  57 

40  00 

39  04 

3807 

37  II 

36  14 

35  18 

34  21 

33  23 

32  27 

31  30 

30  33 

50 

7 

OO 

40  20 

39  24 

38  28 

37  33 

3638 

35  41 

34  46 

3350 

32  54 

31  57 

31  01 

30  06 

7     00 

10 

39  40 

38  45 

37  51 

36  55 

36  00 

35  05 

34  II 

33  16 

32  21 

31  26 

30  31 

29  36 

10 

20 

38  57 

38  03 

37  09 

36  16 

35  22 

34  28 

33  34 

32  40 

31  45 

30  51 

2957 

29  03 

20 

30 

38  12 

37  19 

36  26 

35  33 

34  40 

33  47 

32  54 

32  01 

31  08 

30  15 

29  22 

28  29 

30  . 

40 

37  23 

36  32 

35  39 

34  47 

33  56 

33  03 

32  It 

31  19 

30  27 

29  35 

28  44 

27  52 

40 

50 

36  32 

35  41 

34  49 

33  59 

33  08 

32  17 

31  27 

30  36 

2944 

2853 

28  02 

27  12 

50 

8 

OO 

3538 

34  47 

33  58 

33  08 

32  17 

31  28 

30  38 

2948 
28  59 

2858 

28  09 

27  19 

26  29 

8     00 

lO 

34  40 

33  52 

33  02 

32  13 

31  25 

30  36 

2948 

28  10 

27  21 

26  33 

25  45 

10 

20 

33  40 

32  53 

32  04 

31  17 

30  29 

29  41 

28  54 

28  07 

27  19 

26  32 

25  46 

24  59 

20 

30 

32  37 

31  50 

31  03 

30  17 

29  30 

28  44 

27  58 

27  13 

26  26 

25  40 

24  55 

24  10 

30 

40 

31  31 

30  44 

30  00 

29  14 

28  29 

27  44 

26  59 

26  15 

25  30 

24  46 

24  02 

23  18 

40 

50 

30  21 

29  36 

2853 

28  09 

27  25 

26  42 

25  58 

25  16 

24  32 

23  50 

23  07 

22  24 

50 

9 

OO 

29  07 

28  25 

27  42 

27  CO 

26  18 

25  36 

24  54 

24  13 

23  31 

22  49 

22  09 

21  28 

9     00 

lO 

27  53 

27  10 

26  29 

2548 

25  08 

24  28 

23  48 

23  08 

22  28 

21  49 

21  10 

20  30 

10 

ao 

26  33 

25  54 

25  14 

24  35 

23  56 

23  18 

22  39 

22  01 

21  22 

20  45 

20  07 

19  30 

20 

30 

25  12 

24  34 

23  56 

23  18. 

22  41 

22  04 

21  28 

20  51 

20  16 

19  40 

19  04 

18  27 

30 

40 

23  47 

23  II 

22  34 

21  59 

21  24 

2049 

20  15 

19  40 

19  05 

18  31 

17  57 

17  23 

40 

60 

22  19 

21  45 

21  II 

20  38 

20  04 

19  32 

18  58 

18  26 

17  53 

17  21 

16  49 

16  18 

50 

lO 

OO 

20  49 

20  17 

19  45 

19  13 

18  42 

18  II 

17  40 

17  10 

16  39 

16  09 

15  40 

15  10 

'o    00 

lO 

19  16 

1845 

18  16 

17  46 

17  17 

16  49 

16  20 

15  52 

15  24 

14  56 

14  28 

14  01 

10 

20 

17  40 

17  12 

16  45 

16  18 

15  51 

15  24 

1458 

14  32 

14  05 

13  40 

13  15 

12  50 

20 

» 

30 

16  02 

15  37 

15  II 

14  46 

14  22 

13  58 

13  34 

13  10 

12  37 

12  23 

12  00 

II  37 

30 

40 

14  21 

13  58 

1336 

13  14 

12  51 

12  30 

12  08 

II  47 

II  26 

II  04 

10  44 

10  23 

40 

50 

12  38 

12  18 

II  58 

II  39 

II  19 

II  00 

10  41 

10  22 

10  03 

9  45 

9  27 

908 

50 

11 

OO 

10  54 

10  36 

10  19 

ID  02 

9  45 

9  28 

9  12 

855 

8  39 

823 

8  07 

7  52 

11     00 

lO 

9  07 

852 

838 

823 

8  10 

756 

7  43 

7  39- 

7  15 

7  01 

648 

635 

10 

20 

7  20 

708 

656 

6  45 

6  33 

6  22 

6  II 

6  00 

5  49 

538 

.527 

5  17 

20 

30 

5  31 

5  22 

5  '3 

5  05 

4  56 

4  47 

4  39 

4  30 

4  22 

4  15 

4  07 

3  39 

30 

40 

3  41 

3  35 

3  29 

3  23 

3  17 

3  II 

3  07 

3  01 

2  55 

2  50 

2  45 

2  39 

40 

50 

I  50 

I  47 

I  44 

I  42 

I  39 

I  36 

I  33 

I  31 

I  20 

I  25 

I  22 

I  19 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

1 J 

In  >'orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East ;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


76 


AZIMUTH  OR  TRUE  BEARING. 


]LAT1TUI>E  17°. 

DECI^INATION— SAME  NAME  AS- 

-LATITUDE. 

liATITlTDE  17°. 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70°^ 

Hour  Angle. 

Jb. 

ni. 

0  t 

0  / 

0  / 

•  \ 

0  / 

0  / 

0  / 

0  / 

0  t 

0  1 

0  / 

h.    ni. 

O 

OO 

0  OO 

0  00 

0  00 

OJXl 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

I  5° 

I  45 

I  39 

I  35 

I  30 

I  25 

I  20 

I  16 

I  12 

I  08 

I  04 

10 

20 

3  40 

3  29 

3  19 

3  09 

3  00 

2  50 

2  42 

2  33 

2  25 

2  16 

2  09 

20 

30 

5  27 

5  12 

4  57 

4  42 

4  28 

4  14 

4  01 

3  49 

3  35 

3  23 

3  12 

30 

40 

7  H 

653 

633 

6  14 

5  55 

5  37 

5  20 

5  03 

4  46 

4  30 

4  15 

40 

SO 

8  59 

833 

8  08 

7  45 

7  22 

6  59 

6  37 

6  17 

556 

536 

5  17 

50 

1 

OO 

10  40 

10  10 

9  41 

9  13 

8  46 

8  20 

7  54 

7  29 

7  04 

6  41 

6  18 

1     00 

lO 

12  19 

II  45 

II  12 

10  40 

10  08 

9  38 

9  08 

8  40 

8  12 

7  44 

7  18 

10 

20 

13  54 

13  16 

12  39 

12  03 

II  28 

10  54 

10  21 

9  49 

9  17 

8  47 

8  17 

20 

30 

15  26 

14  44 

14  03 

13  23 

12  45 

12  08 

II  31 

10  56 

10  21 

9  47 

9  13 

30 

40 

1654 

16  08 

15  24 

14  42 

14  00 

13  19 

12  40 

12  00 

II  22 

10  45 

10  08 

40 

50 

18  17 

17  29 

16  42 

15  56 

15  II 

14  27 

13  45 

13  03 

12  21 

II  42 

II  03 

50 

a 

00 

19  36 

18  46 

17  56 

17  07 

16  19 

15  32 

14  47 

14  03 

13  18 

12  35 

II  54 

2     00 

10 

20  52 

19  59 

19  06 

18  15 

17  24 

16  35 

15  47 

14  59 

14  13 

13  28 

12  43 

10 

20 

22  02 

21  06 

20  12 

19  18 

18  26 

17  35 

16  44 

15  54 

15  05 

14  18 

13  31 

20 

30 

23  08 

22  II 

21  15 

20  t9 

19  24 

18  30 

17  38 

16  46 

15  55 

15  05 

14  16 

30 

40 

24  ID 

23  10 

22  13 

21  15 

20  19 

19  23 

18  29 

17  36 

i6  42 

15  50 

14  59 

40 

60 

25  07 

24  07 

23  07 

22  07 

21  09 

20  13 

19  16 

18  21 

17  26 

16  33 

1538 

60 

3 

OO 

26  00 

2458 

23  57 

22  57 

21  57 

20  59 

20  01 

19  04 

18  08 

17  12 

16  17 

3     00 

lO 

26  49 

2546 

■  24  44 

23  42 

22  42 

21  42 

20  43 

19  44 

18  46 

17  49 

16  53 

10 

20 

27  32 

26  29 

25  26 

24  24 

23  23 

22  21 

21  20 

20  21 

19  22 

18  24 

17  26 

20 

30 

28  14 

27  09 

26  05 

25  02 

23  59 

22  58 

21  57 

20  56 

19  55 

18  56 

17  58 

30 

40 

28  49 

27  44 

26  40 

25  36 

24  33 

23  31 

22  29 

21  28 

20  26 

19  26 

18  26 

40 

50 

29  22 

28  16 

27  II 

26  07 

25  04 

24  01 

22  58 

21  56 

20  53 

19  52 

18  51 

50 

4 

OO 

29  50 

28  44 

27  39 

26  35 

25  31 

24  27 

23  24 

22  21 

21  18 

20  16 

19  14 

4     00 

lO 

30  14 

29  09 

28  04 

26  59 

25  55 

24  51 

23  47 

22  44 

21  40 

20  38 

19  36 

10 

20 

30  36 

29  30 

28  25 

27  20 

26  15 

25.11 

24  08 

23  04 

22  00 

20  57 

19  55 

20 

30 

30  53 

29  48 

28  43 

27  38 

26  33 

25  29 

24  25 

23  21 

22  17 

21  13 

20  10 

30 

40 

31  07 

30  02. 

28  57 

27  53 

26  48 

25  43 

24  39 

23  35 

22  31 

21  27 

20  24 

40 

50 

31  18 

30  14 

29  09 

28  04 

26  59 

25  55 

24  51 

23  47 

22  43 

21  39 

20  35 

50 

5 

OO 

31  26 

30  21 

29  17 

28  12 

27  08 

26  04 

25  00 

23  56 

22  52 

21  47 

20  44 

5     00 

lO 

31  30 

30  26 

29  22 

28  18 

27  13 

26  09 

25  06 

24  02 

22  58 

21  55 

20  51 

10 

20 

31  32 

30  27 

29  24 

28  20 

27  17 

26  13 

25  09 

24  06 

23  02 

21  59 

20  56 

20 

30 

31  30 

30  26 

29  23 

28  20 

27  17 

26  14 

25  10 

24  °7 

23  04 

22  01 

20  58 

30 

" 

40 

31  25 

30  22 

29  20 

28  17 

27  14 

26  12 

25  09 

24  06 

23  03 

22  00 

20  57 

40 

50 

31  18 

30  16 

29  14 

28  II 

27  09 

26  07 

25  04 

24  02 

23  00 

21  58 

20  55 

50 

6 

00 

31  07 

30  06 

29  04 

28  03 

27  02 

26  00 

2458 

23  57 

22  54 

21  53 

20  50 

6     00 

10 

30  54 

29  54 

28  52 

27  52 

26  51 

25  50 

24  49 

23  48 

22  46 

21  45 

20  44 

10 

20 

3038 

29  39 

28  39 

27  38 

26  38 

2538 

24  39 

2338 

22  37 

21  36 

20  36 

20 

30 

30  20 

29  21 

28  22 

27  22 

26  23 

25  23 

24  24 

23  25 

22  24 

21  24 

20  25 

30 

40 

29  59 

29  01 

28  02 

27  04 

26  05 

25  06 

24  08 

23  09 

22  10 

21  II 

20  II 

40 

50 

29  35 

2838 

27  41 

26  42 

25  45 

24  48 

23  50 

22  51 

21  53 

20  56 

19  57 

50 

.  7 

OO 

29  09 

28  12 

27  16 

26  20 

25  23 

24  26 

23  29 

22  32 

21  35 

20  37 

19  40 

7     00 

10 

28  40 

27  44 

26  49 

25  54 

2458 

24  02 

23  06 

22  10 

21  13 

20  18 

19  22 

10 

20 

28  09 

27  14 

26  20 

25  25 

24  30 

23  36 

22  41 

21  46 

20  51 

19  56 

19  01 

20 

30 

27  35 

26  42 

25  49 

24  55 

24  01 

23  08 

22  14 

21  21 

20  26 

19  32 

18  39 

30 

40 

26  59 

26  07 

25  15 

24  22 

23  30 

22  38 

21  45 

20  53 

20  00 

19  07 

18  14 

40 

50 

26  21 

25  30 

24  39 

23  47 

22  57 

22  05 

21  14 

20  23 

19  31 

18  40 

17  48 

50 

8 

OO 

25  40 

24  50 

24  00 

23  11 

22  20 

21  31 

20  41 

19  51 

19  01 

18  II 

17  20 

8     00 

10 

24  56 

24  08 

23  20 

22  31 

21  43 

20  55 

20  06 

19  17 

18  28 

17  40 

16  51 

10 

20 

24  II 

23  24 

22  37 

21  50 

21  03 

20  16 

19  29 

18  42 

17  54 

17  07 

16  20 

20 

30 

23  24 

22  38 

"   52 

21  07 

20  21 

1936 

18  50 

18  05 

17  19 

16  33 

15  48 

30 

40 

22  34 

21  50 

21  06 

20  21 

19  37 

18  54 

18  10 

17  26 

16  41 

15  57 

15  14 

40 

50 

21  41 

20  58 

20  06 

19  34 

18  51 

18  10 

17  27 

16  45 

16  02 

15  20 

14  38 

50 

» 

OO 

20  47 

20  07 

19  26 

18  44 

18  04 

17  23 

16  43 

16  03 

15  22 

14  41 

14  01 

9     00 

lO 

19  51 

19  12 

18  32 

17  54 

17  14 

1636 

15  57 

15  19 

14  39 

14  01 

13  22 

10 

20 

18  ^2 

18  15 

1738 

17  01 

16  24 

15  47 

15  09 

14  33 

13  56 

13  20 

12  43 

20 

30 

17  52 

17  16 

16  42 

16  06 

15  31 

14  56 

14  20 

13  46 

13  II 

12  36 

12  01 

30 

40 

16  50 

16  16 

15  43 

15  10 

14  37 

14  03 

13  31 

12  58 

12  24 

II  52 

II  19 

40 

50 

15  46 

15  14 

14  44 

14  12 

ia4i 

13  09 

12  39 

12  08 

II  37 

II  06 

10  35 

50 

aO 

OO 

14  41 

14  11 

13  42 

13  13 

12  44 

12  15 

II  46 

II  17 

10  48 

10  19 

9  51 

10    00 

lO 

13  33 

13  05 

12  39 

12  II 

II  45 

II  18 

10  51 

10  25 

958 

9  31 

9  06 

10 

20 

12  24 

II  59 

II  35 

II  10 

10  45 

10  20 

9  56 

9  32 

9  07 

843 

8  19 

20 

30 

II  15 

10  51 

10  29 

10  06 

9  44 

9  22 

9  00 

838 

8  15 

7  53 

7  31 

30 

40 

10  03 

9  43 

9  22 

9  02 

8  42 

8  22 

8  02 

7  42 

7  22 

7  03 

6  44 

40 

50 

8  50 

8  32 

8  14 

7  57 

7  39 

7  22 

7  04 

6  47 

6  29 

6  12 

5  55 

50 

11 

-OO 

7  37 

7' 21 

7  05 

6  50 

635 

6  20 

6  05 

5  50 

5  34 

5  20 

5  05 

11     00 

lO 

6  22 

6  09 

5  55 

5  43 

5  31 

5  17 

5  05 

4  52 

4  40 

4  28 

4  15 

10 

20 

506 

4  56 

4  46 

4  35 

4  25 

4  15 

4  05 

3  55 

3  44 

3  35 

3  24 

20 

30 

3  51 

3  43 

3  34 

3  27 

3  19 

3  12 

3  04 

2  56 

2  48 

2  41 

2  34 

30 

40 

2  34 

2  29 

2  24 

2  19 

2  13 

2  08 

2  03 

I  58 

I  52 

I  48 

I  43 

40 

50 

I  17 

I  14 

I  12 

I  09 

I  07 

1  04 

I  01 

0  59 

0  56 

0  54 

0  52 

5 

12 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Korth  latitude,  when  the  star  is  rising:  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
•when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


.77 


AZIMUTH  OR  TRUE  BEARING. 


1.ATITUDE  18°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

I^ATITIJDE  18°.  1 

Hour  An 

gle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

h. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  ' 

li.    m. 

0 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

20  49 

17  56 

15  43 

13  56 

12  29 

II  18 

10  17 

9  26 

8  41 

8  03 

7  28 

6  56 

10 

20 

37  01 

32  43 

29  12 

26  15 

23  46 

21  40 

19  52 

18  17 

16  55 

15  43 

14  39 

13  40 

20 

30 

48  07 

43  35 

39  39 

36  14 

33  13 

30  35 

28  16 

26  13 

24  23 

22  45 

21  16 

19  57 

30 

40 

55  33 

51  18 

47  26 

43  56 

40  46 

37  56 

35  21 

33  02 

30  55 

29  00 

27  15 

25  39 

40 

50 

60  39 

5646 

53  10 

49  49 

46  41 

43  49 

41  II 

38  44 

36  30 

34  25 

32  29 

30  43 

50 

1 

OO 

64  14 

60  44 

57  25 

54  17 

51  19 

48  32 

45  55 

4328 

41  12 

39  03 

37  02 

35  09 

1    00 

lO 

66  49 

63  41 

60  39 

57  44 

54  57 

52  17 

49  46 

47  22 

45  07 

42  58 

40  56 

39  01 

10 

20 

6845 

65  53 

63  07 

60  25 

57  49 

55  18 

52  54 

50  35 

48  22 

46  16 

44  15 

42  19 

20 

30 

70  II 

67  34 

65  01 

62  31 

60  05 

57  44 

55  27 

53  14 

51  07 

49  03 

47  04 

45  10 

30 

40 

71  16 

68  52 

66  29 

64  II 

61  54 

59*41 

57  31 

55  25 

53  23 

51  23 

49  28 

47  36 

40 

50 

72  05 

69  51 

67  40 

65  30 

63  22 

61  16 

59  13 

57  13 

55  16 

53  21 

51  29 

49  41 

50 

S 

OO 

72  41 

70  37 

6834 

6633 

64  32 

62  34 

6038 

58  43 

56  51 

55  01 

53  13 

51  27 

2    00 

lO 

73  09 

71  13 

69  17 

67  22 

65  29 

6336 

61  46 

59  57 

58  10 

56  24 

54  40 

52  59 

10 

20 

73  28 

71  39 

69  50 

68  02 

66  14 

64  28 

62  42 

60  58 

59  15 

57  34 

55  54 

54  15 

20 

30 

73  40 

71  58 

70  14 

68  32 

6650 

65  08 

63  28 

61  48 

60  II 

58  33 

5656 

55  21 

30 

40 

73  49 

72  ID 

70  32 

6855 

67  17 

65  41 

64  05 

62  30 

60  56 

59  21 

57  48 

56  16 

40 

50 

73  51 

72  17 

70  44 

69  12 

67  39 

66  06 

64  34 

63  03 

61  32 

60  01 

5831 

57  02 

50 

» 

OO 

73  51 

72  21 

70  51 

69  23 

67  53 

66  25 

6456 

63  29 

62  01 

60  33 

59  07 

57  41 

3    00 

lO 

73  46 

72  20 

70  55 

69  30 

6803 

6638 

65  14 

63  49 

62  24 

60  59 

59  36 

58  12 

10 

20 

73  39 

72  16 

70  54 

69  32 

68  09 

6647 

65  25 

64  03 

62  41 

61  19 

5958 

5837 

20 

30 

73  29 

72  09 

70  50 

69  31 

68  II 

66  51 

65  32 

64  12 

62  54 

61  34 

60  15 

5856 

30 

40 

73  16 

72  00 

70  43 

69  26 

68  08 

66  52 

65  35 

64  19 

63  QI 

61  45 

60  27 

59  II 

40 

50 

73  02 

71  48 

70.34 

69  19 

6803 

66  49 

65  34 

64  19 

63  05 

6150 

60  35 

59  21 

50 

4 

OO 

72  45 

71  33 

70  21 

69  08 

67  55 

6643 

65  30 

64  17 

63  05 

61  52 

60  39 

59  26 

4    00 

lO 

72  26 

71  16 

70  06 

6855 

67  45 

6634 

65  23 

64  12 

63  01 

61  50 

60  39 

5928 

10 

20 

72  05 

70  57 

69  49 

68  40 

67  31 

66  2J 

65  13 

64  CX4 

62  55 

61  45 

60  35 

59  26 

20 

30 

71  43 

70  36 

69  30 

68  22 

67  15 

66  08 

65  00 

63  52 

62  44 

61  36 

60  29 

59  21 

30 

40 

71  19 

70  14 

6908 

6803 

6657 

65  51 

64  44 

6338 

62  32 

61  25 

60  19 

59  12 

40 

50 

70  54 

69  49 

68  44 

6741 

6635 

t.-5i 

64  27 

63  21 

62  16 

61  11 

60  05 

59  00 

50 

5 

OO 

70  25 

69  23 

68  19 

67  16 

66  13 

65  10 

64  06 

63  02 

61  59 

60  54 

59  49 

58  45 

5     00 

lO 

6956 

68  55 

67  53 

6651 

6548 

64  46 

63  43 

62  40 

61  37 

60  34 

59  32 

58  28 

10 

20 

69  26 

68  25 

67  24 

66  22 

65  21 

64  19 

63  18 

6:  16 

61  15 

60  12 

59  II 

58  08 

20 

30 

68  53 

67  52 

6652 

65  52 

64  51 

6351 

62  50 

6'.  50 

60  49 

59  47 

5846 

57  45 

30 

40 

68  18 

67  18 

66  18 

65  19 

64  20 

63  20 

62  20 

61  20 

60  20 

59  20 

58  20 

57  19 

40 

50 

67  42 

6643 

65  44 

64  46 

6346 

62  47 

61  48 

60  49 

59  50 

58  51 

57  51 

56  52 

50 

6 

OO 

67  04 

6605 

65  07 

64  09 

63  10 

62  12 

61  13 

60  15 

59  16 

58  18 

57  20 

56  20 

6    00 

lO 

6623 

65  25 

64  28 

63  30 

62  32 

61  34 

60  37 

59  39 

58  41 

57  43 

56  45 

55  47 

10 

20 

65  40 

64  44 

63  46 

62  50 

61  52 

60  55 

59  58 

59  01 

58  03 

57  06 

5608 

55  I' 

20 

30 

6456 

63  59 

63  03 

62  06 

61  09 

60  13 

59  16 

58  19 

57  22 

56  26 

55  29 

54  5' 

?o 

40 

64  09 

63  13 

62  16 

61  20 

60  24 

59  28 

58  32 

57  35 

56  40 

55  43 

54  47 

53  51 

40 

50 

63  21 

62  24 

61  28 

60  33 

59  36 

58  41 

57  45 

56  50 

55  53 

5458 

54  03 

53  07 

5Q 

7 

OO 

62  28 

61  33 

60  37 

59  42 

5846 

57  51 

5656 

56  01 

55  06 

54  10 

53  15 

52  20 

7          00 

lO 

61  34 

60  39 

59  44 

5848 

57  53 

5658 

56  03 

55  08 

54  14 

53  19 

52  24 

51  30 

10 

20 

6<T37 

59  42 

5847 

57  52 

5656 

56  02 

5508 

54  13 

53  19 

52  25 

51  31 

50  36 

20 

30 

59  37 

58  42 

57  47 

56  53 

55  58 

55  03 

54  10 

53  16 

52  22 

51  28 

50  35 

49  40 

30 

40 

58  34 

57  39 

56  44 

55  50 

54  56 

54  01 

53  08 

52  14 

51  21 

50  27 

49  35 

48  42 

40 

50 

57  27 

56  32 

55  39 

54  44 

53  50 

52  56 

52  03 

51  10 

50  17 

49  24 

4832 

47  39 

50 

8 

OO 

56  17 

55  23 

54  28 

53  35 

52  41 

51  48 

50  54 

50  01 

49  10 

48  17 

47  25 

46  33 

8    00 

lO 

55  03 

5408 

53  15 

52  21 

51  28 

50  35 

49  42 

48  50 

47  59 

47  06 

46  15 

45  23 

10 

20 

53  45 

52  51 

51  57 

51  04 

50  II 

49  18 

48  26 

47  35 

46  44 

45  52 

45  01 

44  10 

20 

30 

52  23 

51  29 

50  36 

49  43 

48  50 

4758 

47  06 

46  15 

45  24 

44  33 

43  44 

42  54 

30 

40 

50  55 

50  02 

49  08 

48  17 

47  24 

46  33 

45  42 

44  51 

44  02 

43  12 

42  22 

41  33 

40 

50 

49  23 

48  30 

47  37 

46  46 

45  54 

45  03 

44  13. 

43  23 

42  34 

41  45 

40  56 

40  08 

50 

9 

OO 

47  46 

46  53 

46  01 

45  10 

44  18 

43  28 

42  39 

41  50 

41  02 

40  13 

39  26 

38  38 

9     00 

lO 

46  03 

45  II 

44  20 

43  30 

4238 

41  49 

41  00 

40.13 

39  25 

3838 

37  51 

37  06 

10 

20 

44  14 

43  23 

42  32 

41  43 

40  54 

40  05 

39  17 

3830 

37  44 

36  57 

36  12 

35  28 

20 

30 

42  20 

41  28 

40  39 

39  51 

39  02 

38  15 

37  29 

36  43 

35  57 

35  12 

34  28 

33  41 

30 

40 

40  17 

39  28 

3839 

37  52 

37  04 

36  19 

35  34 

34  49 

34  05 

33  22 

32  40 

31  58 

40 

50 

38  09 

37  20 

36  34 

3548 

35  02 

34  17 

33  34 

32  51 

32  09 

31  27 

30  47 

30  07 

50 

ID 

OO 

35  53 

35  07 

34  21 

33  37 

32  53 

32  II 

31  29 

3047 

30  07 

39  28 

28  49 

28  II 

10    00 

lO 

33  30 

32  45 

32  02 

31  20 

30  37 

29  57 

29  17 

28  38 

28  00 

27  22 

26  46 

26  09 

10 

20 

31  00 

30  17 

29  36 

28  56 

28  16 

27  38 

27  01 

26  24 

25  49 

25  13 

24  39 

24  04 

20 

30 

28  22 

27  42 

27  04 

26  26 

2548 

25  13 

24  38 

24  04 

23  31 

22  58 

22  26 

21  55 

30 

40 

25  36 

24  59 

24  23 

23  49 

23  15 

22  42 

22  10 

21  38 

21  09 

20  38 

20  09 

19  41 

40 

50 

22  43 

22  10 

21  37 

21  06 

20  35 

20  06 

19  36 

19  09 

18  42 

18  14 

17  49 

17  23 

50 

11 

OO 

1944 

19  14 

1845 

18  18 

17  50 

17  25 

16  59 

16  34 

16  10 

15  47 

15  24 

15  01 

11     00 

lO 

16  37 

16  II 

15  47 

15  24 

15  00 

14  38 

14  17 

13  55 

13  35 

13  15 

12  56 

12  37 

10 

20 

13  25 

13  04 

12  44 

12  25 

12  06 

II  48 

II  31 

II  13 

10  56 

10  41 

10  26 

10  09 

20 

30 

10  08 

952 

9  37 

9  23 

9  08 

853 

8  40 

827 

8  15 

8  02 

7  50 

7  39 

30 

40 
50 

6  48 

637 

627 

6  16 

6  07 

5  57 

5  49 

5  39 

5  32 

5  23 

5  15 

507 

40 

3  25 

3  19 

3  14 

308 

3  04 

2  59 

2  54 

2  51 

2  46 

2  42 

2  37 

2  34 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  re'ikoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  asimuth  is  to  be  taken  for  the  required  true  bearing. 


78 


AZIMUTH  OR  TRUE  BEARING. 


1.ATITUDE:  18°. 

DECI.INATION- 

-SAME  NAME  AS— I.ATITUDE. 

1 

liATITUDC:  18°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

b. 

m. 

o  / 

0  / 

0  / 

0  / 

0  1 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

■-'■■' 
b.    ni. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

10 

631 

6  06 

5  44 

5  24 

506 

4  49 

4  34 

4  J-9 

^  °§ 

3  53 

3  41 

3  30 

10 

20 

12  49 

12  02 

II  20 

10  40 

10  05 

9  32 

9  01 

8  34 

8  08 

7  43 

7  20 

6  59 

20 

30 

18  40 

17  39 

16  39 

15  43 

14  52 

14  05 

13  21 

12  40 

12  02 

II  27 

10  53 

10  22 

30 

40 

24  12 

22  50 

21  36 

20  27 

19  23 

18  23 

17  27 

16  36 

15  47 

15  01 

14  19 

13  38 

40 

50 

29  04 

27  33 

26  08 

24  48 

23  33 

22  24 

21  19 

20  17 

19  20 

18  26 

17  35 

16  46 

50 

1 

OO 

33  24 

31  45 

30  13 

2847 

27  23 

26  06 

24  53 

23  44 

22  39 

21  38 

20  39 

19  44 

1     00 

10 

37  12 

35  29 

33  51 

32  19 

30  51 

29  29 

28  10 

26  55 

25  45 

24  37 

23  33 

22  31 

10 

20 

40  30 

38  44 

37  04 

35  30 

33  58 

32  31 

31  09 

29  50 

28  35 

27  22 

26  13 

25  07 

20 

30 

43  21 

41  36 

39  54 

38  18 

36  45 

35  16 

33  51 

32  29 

31  10 

29  54 

28  41 

27  31 

30 

40 

45  49 

44  05 

42  23 

40  47 

39  13 

37  43 

36  15 

34  51 

33  31 

32  12 

30  57 

29  44 

40 

50 

47  56 

46  13 

44  33 

42  57 

41  23 

39  52 

38  24 

37  00 

3538 

34  18 

33  00 

31  46 

50 

2 

OO 

49  45 

48  04 

46  26 

44  51 

43  19 

41  48 

40  20 

3855 

37  32 

36  II 

34  52 

33  36 

2     00 

lO 

51  18 

49  41 

48  04 

46  31 

44  59 

43  30 

42  03 

40  38 

39  14 

37  54 

36  34 

35  17 

10 

20 

52  38 

51  03 

49  29 

47  58 

46  28 

45  00 

43  34 

42  09 

40  46 

39  25 

3805 

36  47 

20 

30 

53  47 

52  15 

50  44 

49  14 

47  45 

46  18 

44  53 

43  29 

42  08 

40  47 

39  27 

38  10 

30 

40 

54  45 

53  15 

51  46 

50  19 

48  52 

47  27 

46  03 

44  40 

43  20 

41  59 

40  40 

39  23 

40 

50 

55  34 

54  07 

52  40 

51  15 

49  50 

48  27 

47  03 

45  42 

44  22 

43  03 

41  45 

40  27 

50 

3 

00 

56  15 

54  50 

53  26 

52  02 

50  39 

49  18 

47  57 

46  37 

45  18 

.  43  59 

42  41 

41  25 

3     00 

lO 

56  49 

55  27 

54  04 

52  43 

51  22 

50  02 

48  42 

47  24 

46  05, 

44  49 

43  32 

42  17 

10 

20 

57  16 

55  56 

54  36 

53  17 

51  58 

50  39 

49  21 

48  03 

46  47 

45  31 

44  16 

43  00 

20 

30 

57  39 

56  20 

55  01 

53  44 

52  27 

51  10 

49  53 

4838 

47  22 

46  07 

44  53 

43  39 

30 

40 

57  55 

5638 

55  22 

54  06 

52  51 

51  35 

50  20 

49  06 

47  52 

46  38 

45  25 

44  II 

40 

50 

58  06 

56  52 

5538 

54  23 

53  09 

51  55 

50  42 

49  29 

48  16 

47  03 

45  51 

44  39 

50 

4 

OO 

58  13 

57  01 

5548 

54  36 

53  23 

52  11 

50  59 

49  47 

48  35 

47  24 

46  12 

45  01 

4     00 

lO 

58  17 

57  05 

55  54 

54  43 

53  33 

52  22 

51  II 

50  00 

48  50 

47  39 

45  29 

45  19 

10 

20 

58  17 

57  07 

55  57 

54  47 

53  38 

52  28 

51  19 

50  09 

49  00 

47  51 

46  42 

45  33 

S» 

30 

58  13 

57  °4 

55  56 

54  48 

53  39 

52  31 

51  22 

50  15 

49  07 

47  58 

46  50 

45  42 

30 

40 

5805 

5658 

55  51 

54  44 

53  37 

52  30 

51  22 

50  16 

49  08 

48  02 

46  54 

45  47 

40 

SO 

57  55 

56  49 

55  43 

5438 

53  32 

52  26 

51  19 

50  13 

49  07 

48  01 

46  55 

45  48 

50 

5 

OO 

57  41 

5636 

55  32 

54  28 

53  23 

52  18 

51  13 

50  07 

49  02 

47  57 

46  52 

45  47 

5     00 

lO 

57  25 

56  21 

55  18 

54  14 

53  10 

52  06 

51  02 

49  58 

48  55 

47  50 

46  46 

45  41 

10 

20 

57  06 

56  03 

55  00 

53  58 

52  55 

51  52 

50  49 

49  46 

48  43 

47  40 

46  36 

45  33 

20 

30 

56  44 

55  42 

54  41 

53  39 

52  37 

51  35 

50  32 

49  30 

48  28 

47  26 

46  23 

45  21 

30 

40 

56  19 

55  18 

54  1-7 

53  16 

52  16 

51  15 

50  13 

49  12 

48  10 

47  09 

46  07 

45  05 

40 

50 

55  51 

54  52 

53  52 

52  52 

51  52 

50  51 

49  51 

48  51 

47  50 

46  49 

45  48 

44  47 

50 

6 

OO 

55  22 

54  23 

53  24 

52  24 

51  25 

50  25 

49  25 

48  26 

47  26 

46  26 

45  26 

44  27 

6     00 

lO 

54  49 

53  50 

52  52 

51  53 

50  54 

49  56 

4!  57 

47  59 

47  00 

46  01 

45  02 

44  02 

10 

20 

54  14 

53  15 

52  18 

51  20 

50  22 

49  25 

48  26 

47  28 

46  31 

45  32 

44  33 

43  35 

20 

30 

53  35 

52  38 

51  42 

50  45 

49  47 

48  49 

47  53 

46  55 

45  57 

45  00 

44  02 

43  04 

30 

40 

52  54 

51  58 

51  02 

50  05 

4909 

48  12 

47 16 

46  19 

45  23 

44  26 

43  28 

42  32 

40 

50 

52  II 

51  15 

50  20 

49  23 

48  27 

4732 

46  36 

45  40 

44  44 

43  48 

42  52 

41  56 

50 

7 

OO 

51  25 

50  29 

49  34 

48  39 

47  44 

46  49 

45  54 

44  58 

44  03 

43  08 

42  13 

41  17 

7     00 

lO 

50  35 

49  40 

48  46 

47  51 

46  57 

46  03 

4508 

44  14 

43  20 

42  25 

41  30 

40  35 

10 

20 

49  43 

48  49 

47  54 

47  00 

46  07 

45  13 

44 19 

43  25 

42  32 

41  39 

40  45 

39  51 

20 

30 

48  48 

47  54 

47  01 

46  08 

45  14 

44  21 

43  28 

42  35 

41  42 

40  49 

39  56 

39  04 

30 

40 

47  49 

46  55 

46  03 

45  10 

44  18 

43  26 

42  33 

41  41 

40  50 

39  57 

3906 

38  13 

40 

50 

46  47 

45  54 

45  03 

44  II 

43  18 

42  28 

41 36 

•  40  45 

39  54 

39  02 

38  12 

37  20 

50 

8 

OO 

45  41 

44  50 

4358 

43  07 

42  16 

41  26 

40  34 

39  45 

3854 

38  04 

37  14 

36  24 

8     00 

10 

44  33 

43  42 

42  51 

42  01 

41  10 

40  21 

39  31 

38  42 

37  52 

37  03 

36  14 

35  25 

10 

20 

43  21 

42  30 

41  40 

40  51 

40  01 

39  13 

38  24 

37  35 

36  47 

3558 

35  II 

34  23 

20 

30 

42  04 

41  15 

40  27 

3938 

38  49 

38  01 

37 13 

36  25 

35  39 

34  52 

34  04 

33  17 

?S 

40 

40  44 

39  56 

39  07 

38  21 

37  32 

36  46 

35  59 

35  13 

34  26 

33  40 

32  55 

32  08 

40 

60 

39  20 

3833 

37  46 

36  59 

36  13 

35  28 

-34  41 

33  56 

33  12 

32  27 

31  43 

3058 

50 

» 

OO 

37  51 

37  06 

35  20 

35  34 

34  49 

34  05 

33  20 

32  37 

31  53 

31  09 

30  27 

29  43 

9     00 

lO 

36  20 

35  35 

34  51 

34  05 

33  22 

32  39 

31  56 

31  13 

30  31 

2948 

29  07 

28  26 

10 

20 

34  44 

34  00 

33  16 

32  33 

31  51 

31  09 

30  27 

29  47 

29  06 

28  26 

27  45 

27  06 

20 

I 

30 

33  02 

32  20 

31  38 

30  56 

30  16 

29  36 

2855 

28  17 

27  38 

2658 

26  20 

25  42 

30 

40 

31  17 

30  36 

2956 

29  17 

28  37 

27  58 

27  20 

26  42 

26  05 

25  28 

24  52 

24  15 

40 

60 

29  27 

28  48 

28  10 

27  32 

26  55 

26  18 

25  41 

25  06 

24  30 

23  54 

23  20 

22  46 

50 

lO 

OO 

27  33 

2656 

26  20 

25  43 

25  08 

24  33 

23  59 

23  25 

22  52 

22  18 

21  46 

21  13 

10   00 

lO 

25  34 

25  00 

24  25 

23  51 

23  18 

22  46 

22  13 

21  41 

21  10 

20  39 

20  08 

1938 

10 

20 

23  31 

22  58 

22  26 

21  55 

21  24 

20  55 

20  24 

19  55 

19  25 

1857 

18  29 

18  01 

20 

30 

21  24 

20  54 

20  24 

19  55 

19  27 

19  00 

18  32 

18  04 

1738 

17  12 

16  46 

16  20 

30 

40 

19  13 

18  45 

18  19 

17  52 

17  27 

17  01 

1637 

16  12 

1548 

15  24 

15  01 

14  37 

40 

60 

1658 

16  34 

16  10 

15  46 

15  23 

15  01 

14  38 

14  17 

13  55 

13  34 

13  14 

12  53 

50 

11 

OO 

14  40 

14  18 

13  57 

13  37 

13  16 

12  58 

12  37 

12  19 

12  00 

II  42 

II  24 

II  07 

11     00 

lO 

12  18 

12  00 

II  42 

II  25 

II  08 

10  52 

10  36 

10  19 

10  03 

9  48 

9  33 

9  18 

10 

20 

9  54 

9  39 

9  25 

9  II 

857 

844 

831 

8  17 

8  05 

7  53 

7  40 

7  29 

20 

30 

7  27 

7  16 

706 

6  54 

6  44 

6  34 

6  24 

6  14 

6  05 

5  55 

5  47 

5  37 

30 

40 

5  00 

4  52 

4  44 

4  37 

4  30 

4  24 

4  17 

4  10 

4  04 

358 

3  51 

3  45 

40 

50 

2  30 

2  26 

2  23 

2  19 

2  16 

2  12 

2  09 

2  05 

2  02 

I  59 

I  56 

I  53 

50 

13 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  fro^n  North  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


79 


AZIMUTH  OR  TRUE  BEARING. 


LATlTUnx:  18°. 

DECLINATIOX- 

-SAME 

NAME  AS— LATITUDE. 

LATITUDE  18°. 

Hour 

angle. 

48° 

49° 

1 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  angle. 

b. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  ' 

b.    m. 

O 

OO 

O  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

3  21 

3  II 

3  01 

2  53 

245 

2  37 

2  30 

2  23 

2  16 

2  10 

2  04 

I  58 

10 

ao 

6  38 

6  19 

6  02 

5  44 

5  29 

5  14 

458 

4  45 

4  32 

4  18 

4  07 

3  54 

20 

30 

9  52 

9  24 

8  58 

8  33 

8  09 

7  47 

7  25 

7  05 

^■^5 

6  26 

6  08 

5  50 

30 

40 

13  OI 

12  24 

II  50 

II  17 

10  47 

10  17 

9  48 

9  22 

856 

831 

8  07 

7  44 

40 

50 

16  00  ■ 

15  17 

14  35 

13  56 

13  19 

12  42 

12  08 

II  34 

II  03 

10  32 

10  04 

935 

50 

1 

OO 

18  51 

18  01 

17  13 

16  27 

15  44 

15  02 

14  22 

13  44 

13  07 

12  30 

II  56 

II  24 

1     00 

lO 

21  33 

20  37 

19  44 

18  52 

18  04 

17  17 

16  31 

15  47 

15  05 

14  25 

13  46 

13  09 

10 

20 

24  03 

23  03 

22  05 

21  09 

20  16 

19  23 

18  34 

17  45 

16  59 

16  14 

15  31 

.14  49 

20 

30 

26  j\ 

25  20 

24  18 

23  18 

22  20 

21  25 

20  31 

19  38 

18  48 

17  59 

17  12 

16  26 

30 

40 

28  34 

27  27 

26  21 

25  18 

24  17 

23  18 

22  20 

21  24 

20  30 

19  39 

1847 

1758 

40 

50 

30  34 

29  22 

28  15 

27  10 

2605 

25  03 

24  03 

23  05 

22  07 

21  12 

20  18 

19  26 

50 

a 

OO 

32  22 

31  10 

30  00 

28  52 

27  46 

26  42 

25  39 

24  38 

23  38 

22  41 

21  44 

20  49 

2     00 

lO 

34  02 

32  48 

31  38 

30  28 

29  19 

28  13 

27  08 

26  05 

25  03 

24  03 

23  04 

22  07 

10 

20 

35  32 

34  18 

33  05 

31  54 

30  45 

29  37 

28  30 

27  26 

26  22 

25  21 

24  20 

23  18 

20 

30 

36  54 

35  39 

34  26 

33  14 

32  04 

30  54 

29  47 

28  41 

27  35 

26  32 

25  30 

24  28 

30 

40 

3?  07 

36  51 

35  39 

34  26 

33  15 

32  05 

30  56 

2949 

28  43 

2738 

26  34 

25  31 

40 

50 

39  12 

37  57 

36  43 

35  31 

34  20 

33  10 

32  CX) 

30  52 

29  45 

28  39 

27  33 

26  30 

50 

3 

OO 

40  10 

38  55 

37  42 

36  29 

35  18 

3408 

32  57 

31  49 

3041 

29  34 

28  28 

27  24 

3     00 

lO 

41  01 

39  47 

3834 

37  22 

36  II 

35  00 

33  50 

32  40 

31  32 

30  25 

29  18 

28  13 

10 

20 

41  46 

40  33 

39  20 

3808 

36  57 

35  46 

34  36 

33  27 

32  18 

31  II 

30  04 

28  58 

20 

30 

42  26 

41  13 

40  00 

38  49 

3738 

36  27 

35  18 

34  09 

32  59 

31  52 

30  45 

29  39 

30 

40 

4258 

41  47 

40  35 

39  24 

38  14 

0/  04 

35  54 

34  45 

33  36 

32  28 

31  21 

30  14 

40 

50 

4328 

42  16 

41  05 

39  55 

3845 

37  34 

36  25 

35  17 

3408 

33  00 

31  53 

30  46 

50 

4 

OO 

43  50 

42  40 

41  30 

40  20 

39  II 

38  02 

36  53 

35  44 

34  35 

33  28 

32  21 

31  14 

4     00 

lO 

44  09 

43  00 

41  50 

40  42 

39  33 

38  24 

37  15 

3608 

35  00 

33  52 

32  44 

31  38 

10 

20 

44  23 

43  15 

42  07 

40  59 

39  50 

38  42 

37  34 

3626 

35  19 

34  12 

33  05 

31  58 

20 

30 

44  34 

43  26 

42  18 

41  II 

40  04 

3856 

37  49 

36  42 

35  35 

34  28 

33  21 

32  15 

30 

40 

44  40 

43  33 

42  26 

41  20 

40  13 

39  05 

37  59 

36  53 

35  46 

34  40 

33  34 

32  28 

40 

50 

44  42 

4336 

42  30 

41  25 

40  19 

39  12 

38  06 

37  "O 

35  54 

34  49 

33  43 

32  37 

50 

5 

OO 

44  42 

4336 

42  31 

41  26 

40  21 

39  15 

38  10 

37  05 

35  59 

34  54 

33  49 

32  44 

5     00 

lO 

44  37 

43  33 

42  28 

41  24 

40  20 

39  14 

38  10 

37  06 

36  00 

34  56 

33  52 

32  47 

10 

20 

44  29 

43  26 

42  22 

41  18 

40  15 

39  II 

3807 

37  03 

35  59 

34  55 

33  51 

32  47 

20 

30 

44  18 

43  15 

42  12 

41  ID 

40  06 

39  04 

38  00 

36  57 

35  54 

34  51 

33  47 

32  44 

30 

40 

44  03 

43  02 

42  00 

4058 

39  55 

3853 

37  51 

36  49 

35  46 

34  43 

33  40 

3238 

40 

50 

43  46 

42  45 

41  44 

40  43 

39  41 

38  40 

37  39 

3636 

35  35 

34  33 

33  31 

32  28 

50 

6 

OO 

43  26 

42  26 

41  26 

40  25 

39  25 

38  24 

37  23 

36  22 

35  20 

34  20 

33  18 

32  18 

6     00 

lO 

43  03 

42  03 

41  03 

40  04 

39  04 

38  04 

37  04 

36  04 

35  04 

34  04 

33  03 

32  03 

IS 

20 

42  37 

41  38 

40  38 

39  40 

38  41 

37  42 

36  43 

35  44 

34  44 

33  45 

32  44 

31  45 

20 

30 

42  07 

41  09 

40  II 

39  13 

38  15 

37  16 

36  19 

35  20 

34  22 

33  23 

32  23 

31  25 

30 

40 

41  35 

40  38 

39  41 

38  43 

37  46 

36  49 

35  52 

34  53 

33  56 

3258 

32  00 

31  02 

40 

50 

41  00 

4004 

3908 

38  II 

37  15 

36  18 

35  21 

34  25 

33  28 

32  32 

31  34 

3038 

50 

7 

OO 

40  22 

39  27 

38  31 

37  36 

36  40 

35  45 

34  49 

33  53 

32  58 

32  01 

31  06 

30  10 

7    00 

10 

39  41 

38  47 

37  52 

36  57 

36  03 

35  08 

34  13 

33  19 

32  24 

31  28 

30  34 

29  39 

10 

20 

3857 

38  04 

37  II 

36  17 

35  23 

34  29 

33  36 

32  42 

31  48 

30  54 

30  00 

rc)  06 

20 

30 
40 

38  II 

37  19 

36  26 

35  33 

34  40 

33  47 

32  55 

32  02 

31  10 

30  17 

29  23 

2%  2,0 

30 

37  22 

36  31 

35  39 

34  47 

33  55 

33  04 

32  II 

31  20 

30  28 

29  37 

28  44 

27  53 

40 

50 

36  30 

35  39 

34  48 

33  57 

33  07 

32  16 

31  26 

30  35 

29  44 

28  54 

28  03 

27  12 

50 

8 

OO 

35  34 

34  44 

33  55 

33  05 

32  16 

31  26 

30  37 

2948 

2857 

28  09 

27  19 

26  30 

8     00 

lO 

34  36 

3348 

32  59 

32  11 

31  22 

30  34 

2946 

28  58 

28  10 

27  21 

26  33 

25  45 

10 

20 

33  35 

3248 

32  00 

31  13 

30  26 

29  39 

28  52 

28  05 

27  18 

26  31 

25  44 

24  58 

20 

30 
40 

32  31 

31  45 

3058 

30  12 

29  27 

28  41 

27  55 

27  10 

26  24 

25  39 

24  53 

24  08 

30 

31  24 

30  39 

29  54 

29  09 

28  25 

27  41 

26  56 

26  12 

25  28 

24  44 

24  00 

23  17 

40 

60 

30  14 

29  31 

28  47 

28  04 

27  21 

26  37 

25  55 

25  12 

24  29 

23  47 

23  04 

22  23 

50 

9 

OO 

29  01 

28  18 

27  37 

26  55 

26  14 

25  32 

24  51 

24  09 

23  28 

22  47 

22  06 

21  26 

8    00  ' 

lO 

2744 

27  04 

26  24 

25  43 

25  03 

24  23 

23  44 

23  04 

22  25 

21  46 

21  07 

20  28 

10 

20 

26  26 

25  47 

25  08 

24  29 

23  51 

23  13 

22  35 

21  57 

21  20 

20  43 

20  06 

19  28 

22  i 

30 

25  04 

24  27 

23  50 

23  13 

22  37 

21  59 

21  24 

20  47 

20  n 

1936 

19  01 

18  26 

30  ' 

40 

23  39 

23  04 

22  28 

21  53 

21  19 

20  43 

20  10 

19  35 

19  02 

18  28 

17  54 

17  21 

40 

50 

22  12 

21  38 

21  04 

20  32 

19  59 

19  26 

1854 

18  21 

17  49 

17  18 

i6  46 

16  15 

50 

lO 

OO 

20  41 

20  09 

19  39 

19  07 

18  36 

18  06 

17  36 

17  06 

1636 

16  06 

15  37 

15  08 

10       00 

lO 

19  08 

1839 

18  09 

17  41 

17  13 

16  43 

16  16 

1548 

15  20 

14  52 

14  25 

1358 

10 

20 

17  33 

17  06 

16  39 

16  13 

15  46 

15  19 

14  54 

14  28 

14  02 

13  37 

13  12 

12  47 

20 

30 

15  55 

15  30 

15  06 

14  42 

14  17 

13  53 

13  30 

13  07 

12  43 

12  20 

II  58 

11  35 

30 

40 

14  15 

13  53 

13  30 

13  08 

12  47 

12  25 

12  04 

II  43 

II  22 

II  01 

10  41 

10  21 

40  ' 

50 

12  33 

12  13 

11  53 

II  34 

II  15 

10  56 

10  37 

10  18 

10  01 

9  42 

9  24 

9  07 

so 

11 

OO 

10  48 

10  32 

10  15 

958 

9  41 
8  07 

9  25 

9  08 

853 

837 

8  21 

8  06 

7  50 

11        00 

lO 

9  04 

8  48 

835 

8  20 

7  53 

7  39 

7  25 

7  13 

7  00 

6  46 

6  34 

10 

20 

7  16 

7  05 

653 

6  41 

631 

6  20 

6  09 

558 

5  47 

536 

5  26 

5  15 

20 

30 

5  28 

5  20 

5  II 

5  02 

4  54 

4  46 

4  37 

4  29 

4  21 

4  13 

4  05 

3  57 

30 

40 

3  40 

3  34 

3  27 

3  22 

3  16 

3  II 

3  05 

3  00 

2  54 

2  49 

2  44 

2  39 

40 

50 

I  50 

I  47 

I  44 

I  41 

I  38 

I  35 

I  32 

I  30 

I  27 

I  24 

I  21 

I  19 

50 

13 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising_  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


80 


AZIMUTH  OR  TRUE  BEARING. 


liATITlJDE  18°. 

DBCWNATION— SAME  NAME  AS- 

I,ATITUDE. 

liATITUDE  18°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

66° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b. 

m. 

o  / 

0  1 

0  f 

0  / 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

h.     ni. 

O 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

I  52 

I  47 

I  41 

I  36 

I  32 

I  27 

I  22 

I  17 

I  13 

I  09 

I  05 

10 

20 

3  44 

3  32 

3  22 

3  13 

3  02 

2  53 

2  44 

2  35 

2  26 

2  18 

2  10 

20 

30 

5  33 

5  17 

5  02 

4  47 
6  21 

4  33 

4  18 

4  05 

3  52 

3  39 

326 

3  14 

30 

40 

7  23 

7  01 

6  41 

6  02 

5  43 

5  25 

508 

4  51 

4  34 

4  17 

40 

50 

9  09 

8  42 

8  17 

7  53 

7  29 

706 

6  44 

6  22 

6  01 

5  41 

5  21 

50 

1 

OO 

10  52 

10  20 

9  51 

9  23 

8  54 

827 

8  01 

7  35 

7  II 

6  46 

623 

1     00 

lO 

12  33 

11  57 

II  23 

10  50 

10  17 

9  47 

9  17 

847 

8  19 

7  50 

7  24 

10 

20 

14  09 

13  30 

12  52 

12  14 

II  38 

II  04 

10  29 

9  56 

.  9  25 

8  54 

8  22 

20 

30 

15  42 

1458 

14  17 

13  36 

12  57 

12  18 

II  42 

II  05 

10  29 

9  54 

9  21 

30 

40 

17  II 

16  24 

15  39 

14  56 

14  12 

13  31 

12  50 

12  10 

II  32 

10  53 

10  17 

40 

50 

18  35 

17  45 

16  57 

16  10 

15  25 

14  39 

13  55 

13  13 

12  31 

II  50 

II  II 

50 

% 

OO 

19  56 

19  03 

18  12 

17  22 

16  33 

15  45 

14  59 

14  13 

13  29 

12  45 

12  03 

2     00 

lO 

21  II 

20  16 

19  23 

18  30 

17  39 

16  48 

15  59 

15  II 

14  24 

13  37 

12  52 

10 

20 

22  22 

21  24 

20  29 

19  34 

18  40 

1748 

16  57 

'§°§ 

15  16 

14  28 

13  40 

20 

30 

23  29 

22  29 

21  31 

20  35 

19  39 

1844 

17  51 

16  58 

16  06 

15  15 

14  26 

30 

40 

24  30 

23  30 

22  30 

21  32 

20  34 

19  38 

18  42 

17  48 

16  54 

16  00 

15  08 

40 

50 

25  27 

24  25 

23  25 

22  25 

21  26 

20  27 

19  30 

18  33 

17  37 

16  43 

15  49 

50 

3 

OO 

26  20 

25  16 

24  15 

23  13 

22  13 

21  13 

20  14 

19  16 

18  19 

17  23 

16  28 

3     00 

lO 

27  09 

26  04 

25  01 

23  59 

22  57 

21  57 

20  56 

19  56 

18  58 

18  00 

17  03 

10 

20 

27  52 

26  47 

25  43 

24  40 

23  38 

22  36 

21  34 

20  34 

19  34 

18  35 

17  37 

20 

30 

28  32 

27  27 

26  22 

25  18 

24  15 

23  12 

22  09 

21  08 

20  07 

19  07 

18  07 

30 

40 

29  08 

28  02 

26  57 

25  52 

24  48 

23  45 

22  42 

21  39 

20  37 

19  36 

18  36 

40 

50 

29  39 

28  33 

27  27 

26  23 

25  19 

24  14 

23  10 

22  07 

21  05 

20  03 

19  01 

50 

4 

OO 

30  07 

29  01 

27  55 

26  50 

25  45 

24  40 

23  37 

22  33 

21  29 

20  27 

19  24 

4     00 

lO 

30  31 

29  25 

28  19 

27  14 

26  09 

25  04 

23  59 

22  55 

21  51 

20  48 

19  45 

10 

20 

30  52 

29  46 

28  40 

27  35 

26  29 

25  24 

24  19 

23  15 

22  II 

21  07 

20  04 

20 

30 

31  08 

30  02 

28  57 

27  51 

26  46 

25  41 

24  36 

23  32 

22  27 

21  23 

20  19 

30 

40 

31  22 

30  16 

29  10 

28  06 

27  00 

25  55 

24  50 

23  45 

22  41 

21  37 

20  33. 

40 

50 

31  32 

30  27 

29  21 

28  16 

27  II 

26  06 

25  02 

23  56 

22  52 

21  48 

20  44 

60 

5 

OO 

31  39 

30  34 

29  29 

28  23 

27  19 

26  14 

?5  10 

24  06 

23  01 

21  57 

2653 

5     00 

lO 

31  42 

30  38 

29  33 

28  29 

27  25 

26  20 

25  16 

24  II 

23  07 

22  03 

20  59 

10 

20 

31  43 

30  39 

29  35 

28  31 

27  26 

26  22 

25  18 

24  15 

23  II 

22  07 

21  03 

20 

30 

31  41 

30  37 

29  33 

28  30 

27  27 

26  23 

25  19 

24  16 

23  12 

22  09 

21  05 

30 

40 

31  35 

30  32 

29  29 

28  27 

27  23 

26  20 

25  17 

24  14 

23  II 

22  07 

21  04 

40 

50 

31  27 

30  24 

29  22 

28  20 

27  18 

26  15 

25  13 

24  10 

23  07 

22  04 

21  01 

60 

6 

OO 

31  16 

30  15 

29  13 

28  II 

27  09 

26  07 

25  06 

24  03 

23  01 

21  59 

20  57 

6     00 

lO 

31  02 

30  01 

29  00 

27  59 

26  58 

25  57 

24  55 

23  54 

22  53 

21  51 

20  50 

10 

20 

30  46 

29  46 

2846 

27  45 

26  45 

25  45 

24  44 

23  43 

22  43 

21  42 

20  40 

20 

30 

30  26 

29  27 

28  27 

27  28 

26  29 

25  29 

24  30 

23  30 

22  30 

21  29 

20  30 

30 

40 

30  04 

29  06 

28  07 

27  09 

26  10 

25  12 

24  13 

23  14 

22  15 

21  16 

20  16 

40 

50 

29  40 

28  43 

27  45 

26  47 

25  50 

24  52 

23  54 

22  56 

21  58 

21  00 

20  02 

50 

7 

OO 

29  13 

28  16 

27  20 

26  24 

25  27 

24  30 

23  33 

22  36 

21  39 

20  42 

19  45 

7     00 

lO 

28  43 

27  48 

26  53 

25  57 

25  02 

24  06 

23  10 

22  13 

21  17 

20  21 

19  25 

10 

20 

28  II 

27  17 

26  23 

25  28 

24  34 

23  39 

22  44 

21  49 

20  54 

19  59 

19  04 

20 

30 

2738 

26  44 

25  51 

2458 

24  05 

23  II 

22  17 

21  23 

20  29 

19  35 

18  42 

30 

40  . 

27  01 

26  09 

25  17 

24  24 

23  33 

22  40 

21  48 

20  55 

20  02 

19  10 

18  17 

40 

50 

26  22 

25  31 

24  40 

23  49 

22  58 

22  08 

21  17 

20  25 

19  34 

18  43 

17  51 

50 

8 

OO 

25  41 

24  51 

24  01 

23  12 

22  22 

21  32 

20  43 

19  53 

19  03 

18  13 

17  22 

8     00 
10 

lO 

24  57 

24  09 

23  20 

22  32 

21  43 

20  55 

20  07 

19  19 

18  31 

17  42 

16  53 

20 

24  II 

23  24 

22  37 

21  50 

21  04 

20  17 

19  30 

18  43 

17  56 

17  09 

16  22 

20 

30 

23  22 

22  37 

21  52 

21  06 

20  22 

1936 

18  51 

18  06 

17  20 

16  34 

15  50 

30 

40 

22  33 

21  49 

21  05 

20  22 

1938 

18  53 

18  10 

17  26 

16  42 

15  59 

15  14 

40 

50 

21  40 

20  58 

20  15 

19  34 

18  52 

18  09 

17  28 

16  45 

16  03 

15  21 

14  39 

50 

:» 

OO 

20  45 

20  05 

19  25 

18  45 

18  04 

17  23 

16  43 

16  02 

15  22 

14  41 

14  01 

9     00 
10 
20 
30 
40 
60 

lO 

19  49 

19  10 

18  31 

17  53 

17  14 

16  35 

15  57 

15  19 

14  40 

14  01 

13  23 

20 

18  50 

18  13 

17  36 

17  00 

16  23 

15  46 

15  09 

14  33 

13  56 

13  20 

12  43 

30 

17  50 

17  15 

16  39 

16  05 

15  30 

14  55 

14  21 

13  45 

13  II 

12  37 

12  02 

40 

16  48 

16  15 

15  41 

15  09 

14  36 

14  02 

13  30 

12  57 

12  24 

11  52 

II  22 

50 

15  44 

15  13 

14  41 

14  10 

13  40 

13  09 

12  38 

12  07 

II  37 

II  06 

10  36 

lO 

OO 

14  38 

14  09 

13  40 

13  II 

12  42 

12  14 

II  45 

II  17 

10  48 

10  20 

9  51 

10    00 
10 

lO 

13  31 

13  04 

12  37 

12  II 

II  44 

II  17 

10  50 

10  24 

958 

9  31 

9  05 

20 

12  22 

II  57 

11  33 

II  08 

10  44 

10  20 

9  55 

9  32 

9  07 

8  43 

8  18 

20 
30 
40 

30 

11  12 

10  50 

10  28 

10  05 

9  43 

9  21 

859 

8  37 

8  15 

7  53 

7  31 

40 

10  00 

9  41 

9  20 

9  01 

8  41 

.  8  21 

8  01 

7  42 

7  22 

7  03 

6  43 

60 

8  48 

8  31 

8  13 

7  55 

738 

7  20 

7  03 

6  46 

6  29 

6  12 

5  55 

60 

11 

OO 

7  35 

7  19 

7  04 

6  49 

6  34 

6  19 

6  04 

5  49 

5  34 

5  20 

5  05 

11     00 

lO 

6  21 

6  07 

5  55 

5  42 

5  29 

5  17 

5  04 

4  51 

4  40 

4  27 

4  15 

10 

20 

5  05 

4  55 

4  45 

4  35 

4  24 

4  14 

4  04 

3  54 

3  44 

3  35 

3  25 

20 

30 

3  49 

3  42 

3  34 

3  27 

3  18 

3  II 

3  04 

256 

2  49 

2  42 

2  34 

30 

40 

2  33 

2  28 

2  23 

2  17 

2  12 

2  07 

2  03 

I  58 

I  52 

I  48 

I  43 

40 

50 

I  16 

I  14 

I  II 

I  09- 

I  06 

I  04 

I  01 

0  59 

0  57 

0  53 

0  51 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  Eas'  of  ihe  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


81 


AZIMUTH    OR   TRUE    BEARING. 


L.ATITIIDE  19°. 

DECIylNATION- 

-SAME  NAME  AS— L,ATITUDE. 

I.A'TiTUOC:  19°. 

Hour  Angle. 

24° 

2S° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

! 
34°  1 

35° 

Hour  Augle. 

h. 

m. 

o  / 

0  / 

0  1 

t 
0  /  1 

0  / 

0  1 

0  / 

0  t 

0  / 

0  1 

0  / 

0  f 

li.    m. 

O 

OO 

o  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

2i  3° 

20  40 

17  47 

15  35 

13  49 

12  22 

II  II 

10  II 

9  19 

8  36 

7  57 

7  23 

10 

20 

42  03 

36  47 

32  29 

2858 

26  02 

23  34 

21  28 

19  40 

18  07 

16  45 

15  32 

14  28 

20 

30 

53  02 

47  51 

43  20 

39  23 

35  57 

32  57 

30  19 

28  00 

25  57 

24  09 

22  31 

21  03 

30 

40 

59  57 

55  17 

51  01 

47  08 

43  39 

40  28 

3738 

35  03 

32  44 

30  37 

28  43 

26  57 

40 

50 

64  32 

60  23 

56  30 

52  52 

49  30 

46  22 

43  3° 

4051 

3825 

36  10 

34  05 

32  10 

SO 

1 

OO 

6738 

6358 

60  28 

57  07 

53  58 

50  59 

48  12 

45  35 

43  07 

40  49 

3841 

3640 

1     00 

10 

69  50 

6633 

63  23 

60  20 

57  25 

54  36 

51  57 

49  24 

47  00 

44  44 

42  35 

40  33 

10 

20 

71  25 

68  28 

65  35 

62  47 

60  05 

57  28 

54  57 

52  32 

50  12 

47  59 

45  52 

43  51 

20 

30 

72  34 

69  54 

67  15 

64  42 

62  11 

59  44 

57  22 

55  04 

52  50 

50  42 

48  38 

46  39 

30 

40 

73  25 

7058 

6833 

66  10 

63  50 

61  33 

59  18 

57  08 

55  01 

52  57 

5058 

49  02 

40 

50 

74  01 

71  46 

69  31 

67  18 

65  09 

63  00 

60  53 

5850 

56  49 

54  51 

52  55 

51  03 

SO 

2 

OO 

74  28 

72  22 

70  17 

68  13 

66  II 

64  09 

62  10 

60  13 

58  »8 

56  25 

54  34 

52  46 

2     00 

10 

74  46 

7248 

70  51 

6855 

67  00 

6506 

63  13 

61  21 

59  31 

57  43 

55  57 

54  12 

10 

20 

74  57 

73  06 

71  16 

69  27 

6738 

65  50 

64  03 

62  17 

60  31 

5848 

57  07 

55  26 

20 

30 

75  02 

73  19 

71  34 

69  50 

68  07 

6625 

64  43 

63  02 

61  21 

59  42 

5804 

56  26 

30 

40 

75  04 

73  24 

71  46 

70  09 

68  29 

66  52 

65  15 

63  37 

62  01 

60  26 

5852 

57  18 

40 

50 

75  01 

73  26 

71  52 

70  18 

■68  46 

67  12 

65  39 

64  06 

62  33 

61  02 

59  31 

58  01 

SO  i 

3 

OO 

74  55 

73  24 

71  54 

70  25 

6856 

67  26 

65  57 

64  28 

62  59 

61  30 

60  03 

58  35 

3     00 

lO 

74  45 

73  19 

71  53 

70  27 

69  OI 

6735 

66  09 

64  44 

63  17 

61  52 

60  28 

59  03 

10 

20 

74  34 

73  II 

71  48 

70  25 

69  02 

67  39 

66  16 

64  55 

63  32 

62  09 

6047 

59  25 

20 

30 

74  19 

72  59 

71  40 

70  20 

69  01 

67  40 

66  20 

65  00 

63  40 

62  21 

61  01 

59  42 

30 

40 

74  02 

7246 

71  29 

70  II 

68  54 

67  37 

66  20 

65  03 

63  44 

62  27 

61  10 

59  53 

•40 

SO 

73  44 

72  30 

71  15 

70  00 

6845 

67  30 

66  16 

65  01 

63  45 

62  30 

61  15 

59  59 

60 

4 

OO 

73  24 

72  12 

70  59 

69  46 

6834 

67  21 

66  09 

64  55 

63  42 

62  29 

61  15 

60  03 

4     00 

lO 

73  02 

71  51 

70  41 

6931 

68  20 

67  09 

6558 

64  46 

6335 

62  24 

61  13 

60  01 

10 

20 

72  38 

71  30 

70  22 

69  12 

6803 

6654 

65  45 

64  35 

6326 

62  16 

61  06 

59  56 

20 

30 

72  13 

71  06 

69  59 

68  52 

67  44 

66  36 

65  29 

64  21 

63  13 

62  06 

60  57 

59  49 

30 

40 

71  46 

70  40 

69  35 

68  29 

67  23 

66  17 

65  II 

64  05 

62  58 

6i  51 

60  45 

59  37 

40 

50 

71  17 

70  13 

69  09 

6805 

67  00 

65  55 

64  50 

63  46 

62  41 

61  35 

60  30 

59  24 

SO 

5 

OO 

70  47 

6944 

68  41 

6738 

«  34 

65  31 

64  27 

63  23 

62  19 

61  16 

60  11 

59  07 

5     00 

lO 

70  15 

69  14 

68  12 

67  09 

66  07 

65  04 

64  02 

62  59 

61  56 

60  54 

59  51 

58  47 

10 

20 

69  41 

68  41 

67  40 

66  38 

6538 

64  36 

63  35 

62  33 

61  31 

60  29 

59  27 

58  25 

20 

~ 

30 

69  06 

68  06 

6706 

66  06 

65  06 

64  05 

63  05 

62  05 

61  04 

60  03 

59*  01 

58  00 

30 

40 

68  29 

67  31 

66  32 

65  31 

64  32 

63  32 

62  33 

61  33 

60  33 

59  33 

58  33 

57  33 

40 

50 

67  51 

6653 

65  54 

64  55 

'   63  57 

62  57 

61  59 

61  00 

60  00 

59  01 

58  02 

57  03 

SO 

6 

OO 

67  10 

66  12 

65  14 

64  16 

63  19 

62  20 

61  22 

60  24 

59  25 

5827 

5728 

56  29 

6     00 

10 

66  28 

65  30 

64  33 

6336 

62  38 

61  41 

60  44 

59  46 

58  48 

57  50 

5652 

55  55 

10 

20 

65  43 

64  46 

63  50 

62  53 

61  56 

60  59 

60  02 

59  06 

58  09 

57  II 

56  14 

55  17 

20 

30 

64  57 

64  00 

63  04 

62  08 

61  12 

60  15 

59  19 

58  22 

57  25 

56  29 

55  33 

54  36 

30 

40 

64  08 

63  12 

62  17 

61  21 

60  25 

5928 

58  33 

57  37 

56  41 

55  46 

54  49 

53  53 

40 

50 

63  17 

62  21 

61  26 

60  30 

59  35 

58  39 

57  44 

56  49 

55  53 

5458 

54  02 

53  07 

SO 

7 

OO 

62  23 

61  28 

60  33 

59  37 

5843 

5748 

56  53 

55  59 

55  03 

54  09 

53  14 

52  19 

7     00 

lO 

61  27 

60  32 

59  38 

58  42 

5748 

5653 

55  59 

55  04 

54  10 

53  16 

52  22 

51  27 

10 

20 

60  28 

59  33 

58  39 

57  45 

56  50 

55  56 

55  02 

54  08 

53  14 

52  21 

51  26 

50  33 

20 

30 

59  26 

58  31 

57  37 

56  43 

55  50 

54  55 

54  02 

53  09 

52  15 

51  21 

50  28 

49  35 

30 

40 

58  21 

57  27 

56  33 

55  39 

54  46 

53  52 

52  59 

52  06 

51  13 

50  20 

49  27 

48  35 

■40 

SO 

57  13 

56  19 

55  25 

54  32 

53  39 

52  45 

51  53 

51  00 

50  07 

49  16 

48  24 

47  31 

SO 

8 

OO 

56  01 

55  07 

54  14 

53  20 

52  27 

51  35 

50  42 

49  50 

48  59 

48  06 

47  15 

46  24 

8     00 

lO 

54  46 

53  52 

5258 

52  05 

51  14 

50  21 

49  29 

48  38 

47  46 

46  55 

46  04 

45  13 

10 

20 

53  26 

52  32 

51  40 

50  46 

49  55 

49  02 

48  12 

47  21 

46  30 

45  40 

44  49 

43  59 

20 

30 

52  02 

51  08 

50  16 

49  24 

48  33 

47  41 

46  51 

46  00 

45  10 

44  20 

43  30 

42  42 

30 

40 

5033 

4941 

48  49 

47  57 

47  06 

46  15 

45  25 

44  35 

43  45 

42  57 

42  08 

41  20 

40 

SO 

49  00 

48  08 

47  16 

46  24 

45  35 

44  45 

43  55 

43  06 

42  17 

41  29 

4042 

39  54 

SO 

9 

OO 

47  21 

46  30 

45  39 

44  48 

4358 

43  09 

42  20 

41  32 

40  44 

39  57 

39  II 

38  24 

9     00 

lO 

45  37 
43  48 

44  47 

43  57 

43  06 

42  18 

41  29 

40  41 

39  54 

39  06 

38  21 

37  35 

36  50 

10 

20 

42  57 

42  08 

41  19 

40  31 

39  44 

3857 

38  II 

37  25 

36  40 

35  56 

35  12 

20 

30 

41  52 

41  02 

40  15 

39  27 

3839 

37  53 

3708 

36  22 

35  39 

34  55 

34  12 

33  29 

30 

40 

39  50 

39  02 

38  14 

3728 

36  42 

35  57 

35  13 

34  30 

33  46 

33  05 

32  23 

31  42 

40 

SO 

37  41 

36  54 

36  09 

35  23 

34  39 

33  55 

33  13 

32  31 

31  50 

31  10 

30  30 

29  51 

SO 

lO 

OO 

35  26 

34  40 

33  56 

33  12 

32  30 

31  49 

31  08 

30  28 

2948 

29  10 

28  32 

2?  55 

10     00 

10 

33  03 

32  20 

31  37 

30  56 

30  15 

2536 

28  57 

28  19 

27  42 

27  06 

26  29 

25  55 

10 

20 

30  33 

29  52 

29  13 

28  33 

27  55 

27  17 

26  41 

26  05 

25  30 

24  57 

24  23 

23  50 

20 

30 

27  56 

27  17 

26  41 

26  05 

25  29 

24  54 

24  20 

23  46 

23  14 

22  42 

22  II 

21  41 

30 

40 

25  12 

24  36 

24  02 

23  28 

22  55 

22  23 

21  52 

21  22 

20  53 

20  24 

19  56 

19  27 

40 

SO 

22  21 

21  49 

21  18 

20  47 

20  18 

19  49 

19  21 

18  54 

18  27 

18  01 

17  36 

17  II 

SO 

11 

OO 

19  23 

1854 

18  27 

18  00 

17  34 

17  09 

16  44 

16  21 

15  57 

15  35 

15  12 

u  50 

11     00 

10 

16  19 

15  55 

15  32 

15  08 

14  47 

14  25 

14  04 

13  44 

13  24 

13  05 

12  46 

12  27 

10 

20 

13  11 

12  51 

12  31 

12  12 

II  54 

II  37 

II  20 

II  03 

10  47 

10  31 

10  16 

10  01 

20 

30 

9  37 

9  42 

9  27 

9  13 

8  59 

845 

832 

8  20 

8  oS 

756 

7  44 

7  33 

30 

40 

6  40 

6  29 

6  20 

6  II 

6  OI 

5  52 

5  43 

5  35 

526 

5  19 

5  II 

5  03 

40 

SO 

3  20 

3  16 

3  10 

3  05 

3  01 

2  57 

2  52 

2  47 

2  44 

2  40 

2  36 

2  32 

SO 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuli:-?  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  Sou*.h  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimiuth  is  to  be  taken  for  the  required  true  bearing. 

41224°— 16 6 


82 


AZIMUTH  OR  TRUE  BEARING. 


latitude:  190. 

DECLINATION- 

-SAME  NAME  AS— I,ATITUDE. 

1.ATITIJDE:  19°. 

Honr 

Angle. 

36° 

37° 

38° 

390 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

h. 

m. 

0  ' 

0  ' 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

Ii.    m. 

0 

00 

0  00 

0  00 

0  00 

0  CX) 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

10 

653 

625 

6  02 

5  39 

5  19 

5  01 

4  44 

4  29 

4  15 

4  01 

3  49 

338 

10 

20 

13  31 

12  40 

II  52 

II  10 

10  32 

9  57 

9  23 

853 

8  26 

7  59 

7  35 

7  12 

20 

30 

19  43 

18  31 

17  25 

16  25 

15  30 

14  39 

13  52 

13  08 

12  28 

II  51 

II  15 

10  42 

30 

40 

25  22 

23  54 

22  34 

21  19 

20  10 

19  07 

18  07 

17  12 

16  20 

15  32 

14  46 

14  03 

40 

' 

50 

30  23 

28  44 

27  13 

2548 

24  29 

23  14 

22  05 

21  00 

19  59 

19  01 

18  07 

17  16 

50 

1 

00 

34  47 

^3  02 

31  23 

29  51 

28  24 

27  01 

25  44 

2431 

23  23 

22  18 

21  16 

20  18 

1     00 

10 

3837 

3648 

35  04 

33  27 

31  55 

30  27 

29  04 

27  46 

26  31 

25  20 

24  13 

23  09 

10 

20 

41  55 

40  05 

38  19 

3638 

35  03 

33  32 

32  05 

30  43 

29  24 

28  08 

2656 

25  47 

20 

30 

44  45 

42  55 

41  09 

39  27 

37  51 

36  18 

34  48 

33  22 

32  00 

30  41 

29  26 

28  13 

30 

40 

47  09 

45  21 

43  37 

41  55 

40  18 

38  44 

37  13 

35  47 

34  22 

33  °o 

31  43 

30  27 

40 

50 

49  14 

47  28 

45  45 

44  04 

42  28 

40  54 

39  23 

37  55 

36  29 

35  06 

33  46 

32  29 

60 

2 

00 

50  59 

49  16 

47  36 

45-57 

44  21 

42  48 

41  17 

39  49 

38  23 

36  59 

35  39 

34  20 

2     00 

10 

52  30 

50  49 

49  10 

47  34 

46  01 

44  28 

42  58 

41  31 

40  05 

3842 

37  20 

36  01 

10 

20 

53  46 

52  09 

50  33 

48  59 

47  27 

45  56 

44  27 

43  00 

41  35 

40  II 

38  50 

37  31 

20 

30 

54  51 

53  16 

51  43 

50  12 

48  41 

47  12 

45  45 

44  19 

42  55 

41  32 

40  11 

38  52 

30 

40 

55  45 

54  14 

52  44 

51  14 

49  46 

48  19 

46  52 

45  28 

44  06 

42  43 

41  23 

40  03 

40 

50 

56  31 

55  02 

53  34 

52  07 

50  41 

49  16 

47  52 

46  29 

45  07 

43  45 

42  25 

41  07 

50 

3 

00 

57  08 

55  42 

54  16 

52  52 

51  28 

50  04 

48  42 

47  21 

46  00 

44  40 

43  21 

42  04 

3     00 

10 

57  38 

56  15 

54  52' 

53  30 

52  07 

50  46 

49  26 

48  05 

46  46 

45  27 

44  10 

42  53 

10 

20 

58  03 

56  42 

55  21 

54  00 

52  40 

51  21 

50  01 

48  43 

47  26 

46  08 

44  51 

43  36 

20 

30 

58  22 

57  02 

55  44 

54  25 

53  08 

51  50 

50  33 

49  16 

47  59 

46  43 

45  27 

44  13 

30 

40 

5835 

57  18 

56  02 

54  45 

53  28 

52  13 

50  57 

49  41 

48  27 

47  II 

45  57 

44  43 

40 

50 

58  44 

57  29 

■  56  14 

54  59 

53  45 

52  30 

51  16 

50  02 

48  49 

47  35 

46  22 

45  09 

50  • 

4 

00 

5849 

57  35 

56  23 

55  09 

53  57 

52  44 

51  30 

50  19 

49  06 

47  53 

46  41 

45  30 

4     00 

10 

5850 

57  39 

56  26 

55  15 

54  04 

52  52 

51  41 

50  30 

49  18 

48  07 

46  57 

45  46 

10 

20 

58  46 

57  37 

56  27 

55  16 

54  06 

52  56 

51  46 

50  36 

49  27 

48  17 

47  07 

45  57 

20 

30 

58  40 

57  32 

56  23 

55  15 

54  06 

52  57 

51  49 

50  40 

49  31 

48  23 

47  14 

46  05 

30 

40 

58  31 

57  23 

56  16 

55  09 

54  02 

52  54 

51  47 

50  40 

49  32 

48  24 

47  17 

46  10 

40 

50 

58  18 

57  12 

56  06 

55  00 

53  54 

52  47 

51  41 

50  36 

49  29 

48  23 

47  16 

46  09 

50 

5 

00 

58  02 

5658 

55  53 

54  48 

53  43 

52  38 

51  33 

50  28 

49  22 

48  17 

47  II 

46  06 

5     00 

10 

57  43 

56  40 

55  37 

54  33 

53  29 

52  25 

51  21 

50  17 

49  12 

48  08 

47  03 

45  59 

10 

20 

57  22 

56  20 

55  17 

54  14 

53  12 

52  09 

51  06 

50  03 

48  59 

47  55 

46  52 

45  49 

20 

30 

5658 

55  57 

54  55 

53  54 

52  52 

51  50 

50  47 

49  45 

48  43 

47  40 

4638 

45  35 

30 

40 

56  32 

55  31 

54  3° 

53  29 

52  29 

51  27 

50  26 

49  25 

48  23 

47  21 

46  21 

45  19 

40 

60 

56  03 

55  03 

54  03 

53  03 

52  03 

51  02 

50  03 

49  02 

,  48  02 

47  01 

45  59 

44  59 

50 

6 

00 

55  30 

54  32 

53  33 

52  33 

51  34 

50  34 

49  35 

48  36 

47  37 

46  37 

45  37 

44  37 

6     00 

10 

54  56 

53  57 

52  59 

52  01 

51  03 

50  04 

49  06 

48  07 

47  08 

46  09 

45  10 

44  II 

10 

20 

54  19 

53  22 

52  24 

51  26 

50  29 

49  31 

4833 

47  35 

46  37 

45  39 

44  41 

43  43 

'20 

30 

53  39 

52  43 

51  46 

50  49 

49  53 

4855 

47  58 

47  00 

46  03 

45  06 

44  08 

43  11 

30 

40 

52  56 

52  01 

51  05 

50  08 

49  12 

48  16 

47  20 

46  24 

45  27 

44  30 

43  33 

42  37 

40 

50 

52  12 

51  16 

50  21 

49  26 

48  30 

47  34 

46  39 

45  43 

44  47 

43  52 

42  55 

42  00 

50 

7 

00 

51  24 

50  29 

49  34 

48  39 

47  44 

46  49 

45  55 

45  00 

44  05 

43  10 

42  15 

41  20 

7     00 

10 

50  33 

49  39 

48  45 

47  50 

46  56 

46  01 

45  08 

44  14 

43  20 

42  26 

41  32 

40  37 

10 

20 

49  39 

48  46 

47  52 

46  58 

46  06 

45  12 

44  18 

43  25 

42  31 

41  39 

40  45 

39  52 

20 

30 

48  42 

47  49 

46  57 

46  04 

45  II 

44  18 

43  26 

42  34 

41  40 

40  48 

39  56 

39  03 

30 

40 

47  42 

46  50 

45  58 

45  05 

44  14 

43  22 

42  30 

41  39 

40  47 

39  55 

39  04 

38  12 

40 

50 

46  40 

45  48 

44  56 

44  05 

43  14 

42  22 

41  31 

4041 

39  51 

3859 

3809 

37  18 

50 

8 

00 

45  32 

44  42 

43  51 

43  01 

42  II 

41  19 

40  29 

39  40 

38  50 

38  00 

37  10 

36  21 

8     00 

10 

44  23 

43  33 

42  43 

41  53 

■  41  04 

40  13 

39  25 

3836 

37  47 

3658 

36  10 

35  21 

10 

20 

43  09 

42  20 

41  31 

40  42 

39  54 

39  05 

38  17 

37  29 

36  41 

35  53 

35  06 

34  19 

20 

,      - 

30 

41  52 

41  03 

40  16 

39  27 

38  40 

37  52 

37  05 

36  19 

35  32 

34  45 

33  59 

33  12 

30 

40 

40  31 

39  44 

38  57 

3?  ^° 

37  23 

3636 

35  50 

35  05 

34  19 

33  34 

32  49 

32  03 

40 

60 

39  06 

38  21 

37  34 

36  48 

36  03 

35  17 

34  32 

33  47 

33  04 

32  20 

31  35 

30  52 

50 

9 

00 

3738 

36  52 

36  07 

35  23 

34  39 

33  54 

33  10 

32  27 

31  44 

31  01 

30  19 

29  36 

9     00 

10 

36  05 

35  21 

34  36 

33  53 

33  II 

32  27 

31  45 

31  04 

30  22 

29  41 

28  59 

'?  '% 

10 

20 

34  29 

33  46 

33  02 

32  21 

31  40 

3058 

30  17 

29  36 

28  56 

28  17 

27  37 

26  58 

20 

30 

32  47 

32  06 

31  24 

30  44 

30  04 

29  24 

28  44 

28  06 

27  27 

26  49 

26  12 

25  34 

30 

40 

31  02 

30  21 

29  42 

29  03 

28  25 

27  47 

27  10 

26  33 

25  55 

25  19 

24  43 

24  07 

40 

50 

29  12 

28  34 

27  56 

27  19 

26  42 

26  07 

25  30 

24  55 

24  21 

23  46 

23  12 

22  39 

50 

10 

00 

27  iS 

26  42 

26  06 

25  31 

24  56 

24  22 

23  48 

23  16 

22  43 

22  10 

21  38 

21  06 

10     00 

10 

25  19 

24  45 

24  12 

23  39 

23  07- 

22  34 

22  03 

21  32 

21  01 

20  30 

20  00 

19  31 

10 

20 

23  17 

22  45 

22  14 

21  44 

21  14 

20  43 

20  14 

19  45 

19  17 

18  49 

18  21 

17  53 

20 

30 

21  II 

20  42 

20  13 

19  44 

19  17 

18  49 

18  23 

17  56 

17  30 

17  04 

16  39 

16  14 

30 

40 

19  00 

18  34 

18  07 

17  42 

17  17 

16  52 

16  28 

16  04 

15  40 

15  17 

14  54 

14  31 

40 

50 

16  47 

16  23 

16  00 

15  37 

15  14 

14  52 

14  31 

14  10 

13  49 

13  28 

13  08 

12  47 

50 

11 

00 

14  30 

14  09 

13  48 

13  28 

13  09 

12  49 

12  31 

12  12 

II  54 

II  36 

II  19 

II  02 

11     00 

10 

12  09 

11  52 

II  34 

II  18 

II  01 

10  45 

10  29 

10  14 

958 

9  43 

9  29 

9  13 

10 

20 

9  47 

9  33 

9  19 

9  05 

852 

8  39 

825 

813 

8  01 

7  48 

7  37 

7  25 

20 

30 

7  21 

7  II 

7  01 

6  50 

6  40 

6  30 

6  21 

6  II 

6  02 

5  52 

5  44 

5  35 

30 

40 

4  56 

4  48 

4  40 

4  34 

4  28 

4  21 

4  14 

4  08 

4  02 

3  55 

3  49 

3  44 

40 

50 

2  28 

2  25 

2  21 

2  17 

2  14 

2  10 

2  08 

2  04 

2  01 

1  58 

I  55 

I  52 

50 

12 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  >'orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  .North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  $>outh  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


83 


AZIMUTH  OR  TRUE  BEARING. 


1  liATITUDE  19°. 

DECLINATION- 

SAME  NAME  AS— LATITUDE. 

LiAtitudk:  19°. 

1  Hour  Angle. 

48° 

49° 

50° 

61° 

52'' 

63° 

54° 

65° 

66° 

57° 

68° 

59° 

Hour  Angle. 

li. 

m. 

o  / 

0  / 

0  f 

0  / 

0  / 

0  t 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

]i.    m. 

O 

OO 

0  CX3 

c  c» 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CX) 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

3  26 

3  17 

3  07 

258 

2  50 

2  41 

2  33 

2  27 

2  19 

2  12 

2  06 

2  00 

10 

20 

650 

6  31 

6  12 

5  54 

5  37 

5  21 

5  05 

4  51 

438 

4  24 

4  12 

4  00 

20 

30 

10  II 

9  42 

9  14 

8  47 

8  22 

7  59 

736 

7  14 

653 

6  34 

615 

5  57 

30 

40 

13  24 

12  45 

12  09 

II  36 

II  03 

10  32 

10  03 

9  34 

9  07 

8  41 

817 

7  54 

40 

50 

16  28 

15  42 

14  59 

14  18 

13  38 

13  01 

12  25 

II  50 

II  18 

10  46 

10  16 

9  46 

50 

1 

OO 

19  22 

18  30 

17  40 

16  52 

16  07 

15  23 

14  41 

14  01 

13  23 

12  46 

12  II 

II 37 

1     00 

lO 

22  07 

21  09 

20  14 

19  20 

18  29 

17  40 

16  53 

16  07 

IS  24 

14  43 

14  02 

13  23 

10 

20 

2441 

23  37 

22  37 

21  39 

20  43 

19  50 

18  58 

18  08 

17  20 

16  34 

15  49 

15  06 

20 

30 

27  03 

2556 

24  52 

23  50 

22  50 

21  52 

20  56 

20  01 

19  10 

18  20 

17  31 

16  44 

30 

40 

29  15 

28  04 

26  57 

25  51 

24  47 

23  46 

22  48 

21  50 

20  54 

20  00 

15  08 

18  17 

40 

50 

31  H 

30  01 

28  51 

27  44 

26  37 

25  33 

m  30 

23  30 

22  32 

21  35 

20  39 

19  46 

50 

2 

00 

33  04 

31  50 

30  37 

29  27 

28  19 

27  13 

'26  08 

25  04 

24  03 

23  04 

22  06 

21  10 

2    00 

10 

34  43 

33  27 

32  14 

31  02 

29  52 

28  45 

27  38 

26  32 

25  29 

24  27 

23  27 

22  28 

10 

20 

36  13 

34  56 

33  42 

32  30 

31  18 

30  08 

29  00 

27  53 

26  49 

25  45 

24  42 

23  42 

20 

30 

37  33 

36  17 

35  02 

3348 

32  36 

31  26 

30  17 

29  08 

28  02 

26  57 

25  53 

24  49 

30 

40 

3846 

37  29 

36  13 

35  00 

33  47 

32  36 

31  26 

30  17 

29  09 

28  03 

26  57 

25  53 

40 

50 

39  50 

3834 

37  19 

36  04 

34  51 

33  39 

32  29 

31  19 

30  II 

29  04 

27  57 

26  52 

50 

3 

OO 

40  47 

39  31 

38  16 

37  02 

35  49 

34  37 

33  26 

32  16 

31  07 

29  59 

28  51 

27  46 

3     00 

lO 

41  37 

40  21 

39  07 

37  53 

36  40 

35  29 

34  17 

33  06 

31  58 

30  49 

29  41 

2835 

10 

20 

42  18 

41  05 

39  51 

3838 

37  26 

36  14 

35  03 

33  52 

32  43 

31  35 

30  26 

29  18 

20 

30 

4258 

41  44 

40  31 

39  18 

3806 

36  54 

35  43 

34  33 

33  24 

32  15 

31  07 

2958 

30 

40 

43  30 

42  16 

41  04 

39  52 

38  41 

37  29 

36  19 

35  09 

34  00 

32  51 

31  42 

30  34 

40 

50 

43  57 

42  45 

41  33 

40  21 

39  10 

38  00 

36  49 

35  39 

34  30 

33  22 

32  13 

31  05 

50 

4 

OO 

44  18 

43  07 

41  56 

40  45 

39  35 

38  26 

37 16 

3606 

34  57 

33  49 

32  40 

3133 

4     00 

lO 

44  36 

43  25 

42  15 

41  05 

39  56 

38  47 

37  37 

36  28 

35  20 

34  12 

33  04 

31  56 

10 

20 

44  48 

43  39 

42  30 

41  21 

40  12 

39  03 

37  55 

36  47 

35  39 

34  30 

33  23 

32  16 

20 

30 

44  57 

43  48 

42  40 

41  32 

40  24 

39  16 

38  08 

37  01 

35  53 

34  45 

3338 

32  31 

30 

40 

45  01 

43  54 

42  47 

41  39 

40  32 

39  25 

38  17 

37  10 

36  04 

34  57 

33  50 

32  44 

40 

50 

45  03 

43  56 

42  49 

41  43 

40  36 

39  31 

38  24 

37  17 

36  11 

35  05 

3358 

32  52 

50 

5 

OO 

45  00 

43  55 

42  49 

41  44 

40  37 

39  32 

3826 

37  20 

36  15 

35  09 

34  04 

3258 

6     00 

lO 

44  54 

43  50 

42  45 

41  39 

40  35 

39  31 

38  25 

37  20 

36  16 

35  II 

34  05 

33  00 

10 

20 

44  45 

43  41 

42  37 

41  33 

40  29 

39  25 

38  20 

37  16 

36  13 

35  oS 

34  04 

32  59 

20 
30 

30 

44  32 

43  29 

42  27 

41  23 

40  20 

39  17 

38  13 

37  09 

36  07 

35  03 

33  59 

32  55 

40 

44  17 

43  14 

42  12 

41  II 

40  08 

39  06 

3803 

36  59 

35  57 

34  55 

33  52 

32  49 

40 

50 

43  58 

42  56 

41  55 

40  54 

39  53 

3851 

37  49 

36  47 

35  45 

34  43 

33  41 

32  38 

50 

6 

OO 

43  36 

42  36 

41  35 

40  34 

39  34 

38  33 

37  33 

36  31 

35  30 

34  29 

33  28 

32  26 

6     00 

lO 

43  II 

42  12 

41  12 

40  12 

39  12 

38  13 

37  13 

36  12 

35  12 

34  12 

33  I' 

32 10 

10 

20 

42  44 

41  45 

40  47 

39  48 

38  48 

37  50 

36  51 

35  50 

34  52 

33  53 

32  52 

31  52 

20 

30 

42  13 

41  15 

40  18 

39  20 

38  21 

37  24 

36  25 

35  26 

34  28 

33  30 

32  30 

31  32 

30 

40 

41  40 

40  42 

39  46 

38  49 

37  52 

36  55 

3558 

35  00 

34  02 

33  05 

32  06 

31  08 

40 

50 

41  04 

40  08 

39  12 

38  15 

37  19 

36  23 

35  26 

34  30 

33  33 

32  36 

31  39 

30  42 

60 

7 

OO 

40  25 

39  30 

38  35 

37  39 

56  44 

35  48 

34  53 

33  57 

33  01 

32  06 

31  09 

30  13 

7     00 

lO 

39  43 

30  49 

37  55 

37  00 

36  05 

35  12 

34  17 

33  22 

32  27 

31  33 

30  37 

2942 

10 

20 

3859 

3805 

37  12 

36  19 

35  25 

34  31 

33  37 

32  43 

31  50 

30  57 

3t)  02 

29  08 

20 

30 

38  II 

37  18 

36  26 

35  34 

34  41 

33  49 

32  5^ 

32  03 

31  II 

30  19 

^  ^5 

28  33 

30 

40 

37  20 

36  29 

3538 

34  46 

33  55 

33  04 

32  12 

31  20 

30  29 

29  38 

28  46 

27  54 

40 

50 

36  27 

35  37 

34  47 

33  57 

33  06 

32  16 

31  26 

30  35 

29  45 

28  54 

28  04 

27 14 

50 

8 

OO 

35  31 

34  42 

33  53 

33  04 

32  14 

31  25 

30  36 

2946 

2858 

28  09 

27  20 

26  31 

8     00 

lO 

34  33 

33  44 

32  57 

32  09 

31  20 

30  32 

29  44 

28  56 

28  09 

27  21 

26  33 

25  44 

10 

20 

33  31 

32  43 

31  57 

31  10 

30  23 

29  27 

29  50 

28  04 

27  17 

26  31 

25  44 

24  58 

20 

30 

32  27 

31  40 

30  55 

30  09 

29  23 

2839 

27  53 

27  08 

26  23 

2538 

24  52 

24  07 

30 

40 

31  19 

30  34 

29  50 

29  05 

28  21 

27  37 

26  53 

26  09 

25  26 

24  43 

23  59 

23  15 

40 

50 

30  08 

29  25 

28  42 

27  59 

27  16 

26  34 

25  51 

25  09 

24  27 

23  45 

23  03 

22  20 

50 

9 

OO 

29  55 

28  13 

27  31 

26  50 

26  09 

25  28 

24  47 

24  c6 

23  26 

22  45 

22  05 

21  24 

9     00 

lO 

27  38 

26  58 

26  19 

2538 

24  59 

■  24  19 

23  39 

23  01 

22  23 

21  43 

21  04 

20  25 

10 

20 

26  19 

25  40 

25  02 

24  24 

23  46 

23  08 

22  31 

21  53 

21  17 

20  40 

20  02 

19  25 

20 

30 

24  57 

24  20 

23  44 

23  07 

22  31 

21  55 

21  19 

20  44 

20  09 

19  33 

18  58 

.18  23 

30 

40 

23  32 

22  57 

22  23 

21  48 

21  13 

20  40 

20  05 

19  32 

1859 

18  25 

17  51 

17 19 

40 

50 

22  05 

21  31 

20  59 

20  26 

19  54 

19  21 

18  50 

18  18 

17  47 

17  15 

16  44 

16  12 

50 

lO 

OO 

20  35 

20  03 

19  32 

19  02 

18  32 

18  01 

17  32 

17  02 

16  33 

16  03 

15  34 

15  04 

10     00 

lO 

19  02 

18  32 

18  04 

17  36 

17  07 

16  39 

16  II 

15  43 

15  17 

14  50 

14  22 

13  55 

10 

20 

17  26 

16  59 

1633 

16  07 

15  41 

15  15 

14  50 

14  24 

13  59 

13  34 

13  io 

12  44 

20 

30 

15  49 

15  25 

15  01 

14  36 

14  13 

13  49 

13  26 

13  03 

12  40 

12  17 

II  55 

II  33 

30 

40 

14  09 

13  47 

13  26 

13  04 

12  43 

12  21 

12  01 

II  40 

II  20 

10  59 

10  39 

10  19 

40 

50 

12  27 

12  08 

II  49 

II  30 

II  11 

10  53 

10  34 

10  15 

958 

9  40 

9  22 

9  04 

50 

11 

OO 

10  44 

10  28 

10  II 

9  54 

938 

9  22 

9  06 

•  8  50 

8  34 

8  19 

8  03 

7  48 

u.   00 

lO 

859 

8  46 

831 

8  17 

7  50 

7  37 

7  23 

7  II 

6  58 

6  44 

631 

10 

20 

7  14 

7  02 

6  50 

6  39 

6  28 

617 

6  07 

5  56 

5  46 

5  35 

5  25 

5  15 

20 

30 

5  25 

5  17 

5  09 

5  00 

4  51 

4  44 

4  36 

4  28 

4  20 

4  12 

4  04 

356 

30 

40 

3  38 

3  32 

326 

3  21 

3  15 

3  10 

3  04 

2  59 

2  54 

2  48 

2  43 

2  38 

40 

50 

I  49 

I  46 

I  44 

I  41 

I  38 

I  35 

I  32 

I  29 

1  27 

I  24 

I  22 

I  19 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
t^ben  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


84 


AZIMUTH  OR  TRUE  BEARING. 


latitude:  19°. 

DECLINATION— SAME  NAME  AS- 

-LATITUDE. 

I.ATITUDE:  19°. 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

;70° 

Hour  Angle. 

li. 

m. 

0   ' 

0  1 

0  ' 

0  1 

0  ' 

0  / 

0  r 

0  / 

0  / 

0  / 

0  / 

h.    m. 

0 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

I  54 

I  48 

I  44 

I  38 

I  33 

I  28 

I  24 

I  19 

I  14 

I  10 

I  06 

10 

- 

20 

3  48 

3  37 

326 

3  16 

3  05 

256 

2  46 

2  37 

2  28 

2  20 

2 II 

20 

30 

5  40 

5  24 

508 

4  52 

^  37 

4  22 

4  09 

3  55 

3  42 

3  29 

3  17 

30 

40 

7  31 

7  09 

6  47 

627 

6  08 

5  49 

5  30 

5  12 

4  55 

4  38 

4  22 

40 

SO 

9  19 

8  52 

8  26 

8  01 

736 

7  13 

6  50 

6  28 

6  07 

5  46 

5  25 

50 

1 

OO 

II  05 

10  32 

10  01 

9  32 

9  03 

835 

•  8  09 

7  42 

7  17 

652 

6  28 

1     00 

10 

12  46 

12  10 

II  35 

II  01 

10  28 

9  56 

9  25 

855 

8  26 

7  57 

7  29 

10 

20 

14  26 

13  44 

13  04 

12  26 

II  50 

II  14 

10  39 

10  05 

9  33 

9  01 

8  29 

20 

30 

15  58 

15  14 

14  31 

13  49 

13  ID 

12  30 

11  52 

II  14 

10  38 

10  03 

9  27 

30 

40 

17  28 

16  41 

15  54 

15  09 

14  26 

1^43 

13  00 

12  20 

II  41 

II  02 

10  24 

40 

50 

18  54 

18  03 

17  14 

16  26 

15  39 

1*52 

14  07 

13  24 

12  41 

12  00 

II  18 

50 

a 

OO 

20  15 

19  21 

18  28 

^138 

16  48 

15  59 

15  II 

14  25 

13  39 

12  55 

12  II 

2     00 

lO 

21  31 

20  35 

19  40 

18  46 

17  53 

17  02 

18  02 

16  12 

'5  ^5 

14  35 

13  48 

■  13  01 

10 

20 

22  42 

21  44 

20  47 

19  51 

18  56 

17  09 

16  18 

15  28 

14  39 

13  50 

20 

30 

23  49 

22  49 

21  49 

20  52 

19  55 

1859 

18  05 

17  II 

16  18 

15  26 

14  35 

30 

40 

24  51 

23  49 

22  48 

21  49 

20  50 

19  53 

18  55 

18  00 

17  05 

16  12 

15  18 

40 

50 

25  47 

24  45 

23  43 

22  42 

21  42 

20  42 

19  44 

1847 

17  50 

16  54 

15  59 

50 

3 

00 

26  40 

25  36 

24  33 

23  31 

22  29 

21  29 

20  29 

19  30 

18  32 

17-34 

16  37 

3     00 

lO 

27  29 

26  24 

25  20 

24  16 

23  14 

22  12 

21  10 

20  II 

19  n 

18  12 

17  13 

10 

20 

28  13 

27  07 

26  01 

24  57 

23  53 

22  50 

21  48 

•  20  47 

19  47 

1847 

17  46 

20 

30 

28  52 

27  46 

26  40 

25  35 

24  30 

23  27 

22  24 

21  21 

20  19 

19  19 

18  18 

30 

40 

29  27 

28  21 

27  14 

26  09 

25  03 

23  59 

22  55 

21  53 

20  50 

19  48 

1845 

40 

50 

29  58 

28  51 

27  45 

26  39 

25  34 

24  28 

23  24 

22  20 

21  18 

20  15 

19  12 

50 

4 

OO 

30  26 

29  18 

28  II 

27  06 

26  00 

24  55 

23  50 

22  45 

23  <^ 

21  41 

20  38 

19  34 

4     00 

lO 

30  49 

29  42 

28  35 

27  29 

26  24 

25  18 

24  13 

22  04 

20  59 

19  55 

10 

20 

31  08 

30  02 

2855 

27  49 

26  42 

25  37 

24  31 

23  27 

22  22 

21  18 

20  14 

20 

30 

31  25 

30  »8 

29  12 

28  06 

27  00 

25  54 

24  48 

23  43 

22  38 

21  34 

20  28 

30 

f2 

31  37 

30  31 

29  24 

28  19 

27  13 

26  07 

25  02 

23  56 

22  51 

21  47 

20  42 

40 

50 

31  47 

3041 

29  35 

28  29 

27  24 

26  18 

25  12 

24  07 

23  03 

21  58 

20  53 

50 

5 

OO 

31  53 

3047 

29  42 

28  36 

27  31 

26  26 

25  20 

24  15 

23  II 

22  06 

21  01 

5     00 

lO 

31  56 

30  51 

29  46 

28  41 

27  35 

26  30 

25  25 

24  21 

23  17 

22  12 

21  07 

10 

20 

31  56 

30  51 

29  46 

28  42 

27  37 

26  32 

25  28 

24  24 

23  20 

22  15 

21  II 

20 

30 

31  52 

30  48 

29  44 

28  40 

27  37 

26  32 

2S  28 

24  24 

23  20 

22  16 

21  13 

30 

40 

31  45 

30  42 

29  39 

2837 

27  33 

26  29 

25  25 

24  22 

23  19 

22  16 

21  12 

40 

50 

31  37 

30  34 

29  31 

28  29 

27  27 

26  23 

25  21 

24  18 

23  15 

22  12 

21  08 

50 

6 

OO 

31  24 

30  23 

29  21 

28  19 

27  17 

26  15 

25  12 

24  10 

23  08 

22  06 

21  03 

6     00 

lO 

31  10 

30  09 

29  08 

28  07 

27  05 

26  04 

25  03 

24  01 

23  00 

21  58 

.20  56 

10 

20 

30  53 

29  53 

28  53 

27  52 

26  52 

25  51 

24  50 

23  50 

22  49 

21  47 

20  46 

20 

30 

30  33 

29  34 

28  34 

27  35 

26  35 

25  36 

24  35 

23  35 

22  36 

21  36 

20  34 

30 

40 

30  10 

29  12 

28  14 

27  15 

26  17 

25  18 

24  18 

23  19 

22  21 

21  21 

20  21 

40 

50 

29  45 

28  48 

27  50 

26  53 

25  55 

24  57 

23  59 

23  01 

22  03 

21  04 

20  06 

50 

7 

OO 

29  18 

28  21 

27  25 

26  29 

25  32 

24  35 

2338 

22  40 

21  43 

20  46 

19  48 

7     00 

lO 

28  48 

27  52 

26  57 

26  01 

25  06 

24  10 

23  14 

22  18 

21  22 

20  26 

19  29 

10 

20 

28  15 

27  21 

26  27 

25  32 

24  37 

23  42 

22  48 

21  53 

20  58 

20  03 

19  07 

20 

30 

27  40 

26  48 

25  54 

25  01 

24  07 

2-5  14 

22  20 

21  27 

20  33 

19  39 

1845 

30 

40 

27  02 

26  II 

25  19 

24  27 

23  35 

22  43 

21  50 

20  57 

20  05 

19  13 

18  20 

40 

50 

26  23 

25  33 

24  43 

23  51 

23  00 

22  09 

21  19 

20  27 

19  36 

18  45 

17  53 

50 

8 

OO 

25  41 

24  52 

24  03 

23  14 

22  24 

21  34 

20  45 

19  55 

19  05 

18  15 

17  25 

8     00 

10 

24  57 

24  09 

23  21 

22  34 

21  46 

20  58 

20  09 

19  21 

18  32 

17  44 

16  55 

10 

20 

24  II 

23  25 

22  38 

21  52 

21   04 

20  18 

19  31 

18  44 

1758 

H  "-l 

16  23 

20 

30 

23  22 

22  38 

21  53 

21  08 

20  23 

19  37 

18  52 

18  07 

17  21 

1636 

15  50 

30 

40 

22  32 

21  49 

21  05 

20  22 

19  38 

18  54 

18  II 

17  27 

16  43 

16  00 

15  ID 

40 

50 

21  39 

20  57 

20  15 

19  34 

18  52 

18  09 

17  28 

16  46 

16  04 

15  22 

14  39 

50 

9 

OO 

20  44 

20  04 

19  23 

18  43 

18  03 

17  23 

1643 

16  03 

15  23 

14  43 

14  02 

9     00 

lO 

19  47 

19  08 

18  31 

17  53 

17  14 

1636 

15  57 

15  19 

14  40 

14  02 

13  23 

10 

20 

18  49 

18  12 

17  36 

17  00 

16  22 

15  46 

15  10 

14  33 

13  57 

13  20 

12  43 

20 

30 

17  48- 

17  13 

1638 

16  04 

15  30 

14  55 

14  20 

13  46 

13  II 

12  36 

12  02 

30 

40 

16  45 

16  12 

15  40 

15  07 

14  35 

14  02 

13  29 

12  57 

12  25 

II  52 

II  19 

40 

50 

.  15  42 

15  11 

14  40 

14  09 

13  39 

13  08 

12  37 

12  08 

II  36 

II  06 

10  35 

SO 

lO 

OO 

14  36 

14  07 

1338 

13  10 

12  41 

12  13 

II  45 

II  16 

10  47 

10  19 

9  51 

10     00 

10 

13  29 

13  02 

12  35 

12  09 

II  42 

II  16 

ID  50 

10  24 

9  57 

9  31 
243 

9  03 

10 

20 

12  20 

II  56 

II  31 

II  07 

10  43 

10  19 

9  55 

9  30 

9  07 

8  19 

20 

30 

II  10 

10  48 

10  26 

10  04 

9  42 

9  20 

8  59 

836 

8  15 

7  53 

7  31 

30 

40 

958 

9  39 

9  19 

9  00 

8  40 

8  20 

8  01 

7  41 

7  22 

7  02 

6  42 

40 

50 

846 

8  29 

8  II 

7  54 

7  37 

7  19 

7  02 

6  45 

6  28 

6  II 

5  54 

SO 

11 

OO 

7  33 

?='! 

7  03 

6  48 

ff33 

6  18 

6  04 

5  49 

5  34 

5  20 

5  04 

11     00 

lO 

6  19 

6  06 

5  54 

5  41 

5  29 

5  16 

5  04 

4  52 

4  39 

4  27 

4  15 

10 

20 

5  05 

4  54 

4  44 

4  34 

•  4  23 

4  14 

4  03 

3  54 

3  44 

3  34 

3  25 

20 

30 

3  49 

3  41 

3  33 

326 

3  18 

3  II 

3  03 

256 

2  48 

2  41 

2  33 

30 

40 

2  33 

2  28 

2  23 

2  18 

2  12 

2  07 

2  02 

I  5S 

I  52 

I  48 

I  42 

40 

50 

I  16 

I  14 

I  II 

I  09 

I  07 

I  04 

I  01 

0  59 

0  56 

0  54 

0  52 

SO 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising^  or  East  of  the  meridian,  the  tabulated  azimuths  are  recksned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


85 


AZIMUTH  OR  TRUE  BEARING. 


IiAtiotude:  20°. 

DECI,INATION- 

-SAME 

NAME  AS— LATITUDE. 

i^atitvde:  20°. 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

li. 

m. 

0    ' 

0    ' 

0    / 

0    / 

0     r 

0    t 

0      ; 

0    / 

0    / 

0    ' 

0    / 

0  / 

b.          m. 

0 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

.0  00 

0  00 

0  00 

0  00 

0  00 

0          00 

10 

2938 

24  20 

20  31 

17  39 

15  26 

13  41 

12    15 

ii  04 

10  05 

9  13 

8  30 

7  51 

10 

20 

48  18 

41  49 

36  32 

32  16 

2845 

25  49 

23   21 

21  16 

19  29 

17  56 

16  33 

15  22 

20 

30 

58  44 

52  48 

47  35 

43  03 

39  06 

35  40 

3241 

30  04 

27  45 

25  42 

23  53 

22  15 

30 

40 

64  51 

59  44 

55  01 

50  44 

46  50 

43  20 

40   10 

37  19 

34  45 

32  25 

30  20 

28  24 

40 

50 

68  41 

64  17 

60  07 

56  12 

52  34 

49  II 

46  03 

43  10 

40  31 

38  04 

35  49 

33  44 

50 

1 

00 

71  14 

67  23 

63  41 

60  10 

56  49 

53  39 

50  39 

47  50 

45  14 

42  45 

40  27 

38  19 

1           00 

10 

7258 

69  35 

66  17 

63  06 

60  02 

57  05 

54  16 

51  35 

49  03 

46  38 

44  21 

42  II 

10 

20 

74  10 

71  09 

68  II 

65  17 

62  28 

59  45 

57  07 

54  34 

52  09 

49  49 

47  35 

45  27 

20 

30 

75  01 

72  18 

6936 

6657 

64  22 

61  50 

59  23 

56  59 

54  41 

52  27 

50  17 

48  12 

30 

40 

75  37 

73  08 

70  40 

68  13 

65  50 

63  29 

61  II 

58  55 

5645 

54  37 

52  33 

50  32 

40 

60 

76  01 

73  44 

71  27 

69  12 

6658 

64  46 

62  37 

60  30 

58  26 

56  24 

54  25 

52  29 

50 

2 

00 

76  16 

74  oS 

72  02 

6956 

67  52 

6548 

63  47 

61  46 

59  49 

57  52 

55  59 

54  07 

2           00 

10 

76  25 

74  26 

72  28 

70  30 

6832 

6636 

6441 

62  48 

6056 

59  05 

57  16 

55  29 

10 

20 

76  28 

74  36 

72  45 

70  54 

69  03 

67  14 

65  25 

63  37 

61  50 

6004 

58  21 

5638 

20 

30 

76  25 

74  41 

72  55 

71  II 

6926 

67  43 

65  59 

64  17 

62  35 

60  54 

59  14 

57  35 

30 

40 

76  20 

74  41 

73  01 

71  22 

69  42 

68  03 

66  25 

64  47 

63  10 

61  33 

59  57 

58  22 

40 

50 

76  10 

74  37 

73  02 

71  27 

69  52 

68  19 

6645 

65  II 

63  37 

62  05 

60  32 

59  00 

50 

3 

00 

7558 

74  29 

72  59 

71  28 

6958 

68  28 

6658 

65  28 

6358 

62  29 

61  01 

59  31 

3           00 

10 

75  45 

74  19 

72  52 

71  26 

69  59 

6833 

67  06 

65  39 

64  13 

62  47 

61  21 

5956 

10 

20 

75  28 

74  05 

72  43 

71  20 

6956 

6832 

67  10 

65  46 

64  23 

62  59 

61  37 

60  14 

20 

30 

75  10 

73  50 

72  30 

71  10 

69  50 

6830 

67  09 

65  49 

64  28 

6308 

61  47 

60  27 

30 

40 

74  49 
7428 

73  32 

72  15 

70  58 

69  40 

68  22 

6705 

65  47 

64  30 

63  12 

61  54 

60  35 

40 

50 

73  13 

71  58 

70  43 

69  28 

68  13 

66  58 

65  42 

64  26 

63  II 

61  55 

60  39 

50 

4 

00 

74  03 

72  51 

71  38 

70  26 

69  13 

68  00 

6647 

65  34 

64  20 

6306 

61  53 

60  39 

4           00 

10 

73  38 

72  28 

71  17 

70  06 

6856 

67  45 

6634 

65  21 

64  10 

6259 

61  47 

60  35 

10 

20 

73  II 

72  03 

70  54 

69  45 

6836 

67  28 

■    66  18 

6508 

6358 

62  48 

61  38 

60  28 

20 

30 

72  43 

71  36 

70  29 

69  22 

68  15 

67  07 

65  59 

64  51 

63  43 

62  35 

61  27 

60  18 

30 

40 

72  13 

71  08 

70  02- 

6856 

67  50 

6645 

6538 

64  32 

63  25 

62  18 

61  12 

60  04 

40 

50 

71  42 

70  38 

69  34 

68  30 

67  24 

66  20 

65  15 

64  09 

63  05 

62  00 

60  54 

59  48 

50 

5 

00 

71  09 

70  06 

69  02 

67  59 

6657 

65  53 

64  49 

63  46 

62  42 

61  37 

60  34 

59  29 

5           00 

10 

70  34 

69  33 

68  31 

67  29 

66  27 

65  24 

64  22 

63  19 

62  16 

61  14 

60  II 

59  07 

10 

20 

6958 

68  58 

6756 

66  56 

65  55 

64  54 

63  52 

62  50 

61  49 

60  47 

59  45 

58  42 

20 

30 

69  21 

68  21 

67  21 

66  21 

65  21 

64  21 

63  21 

62  20 

61  19 

■    60  18 

59  17 

58  15 

30 

40 

68  41 

6743 

66  44 

65  45 

64  45 

63  46 

62  46 

61  46 

60  46 

5946 

5847 

57  46 

40 

50 

68  01 

67  03 

66  04 

65  05 

64  07 

63  09 

62  10 

61  It 

60  12 

59  12 

58  14 

57 15 

50 

6 

00 

67  18 

66  21 

65  23 

64  24 

63  27 

62  29 

61  31 

6033 

59  35 

5836 

57  39 

56  40 

6           00 

10 

6633 

65  37 

64  39 

63  42 

62  45 

61  48 

60  50 

59  53 

5856 

57  58 

57  00 

56  02 

10 

20 

65  46 

64  50 

63  54 

62  58 

62  01 

61  04 

60  08 

59  10 

58  14 

57  17 

56  20 

55  23 

20 

30 

6458 

64  02 

63  06 

62  II 

61  14 

60  19 

59  22 

58  26 

57  30 

56  33 

5538 

54  41 

30 

40 

64  07 

63  12 

62  17 

61  21 

60  25 

59  30 

5834 

5738 

56  43 

55  47 

54  52 

53  56 

40 

_ 

50 

63  14 

62  19 

61  24 

60  28 

59  34 

5838 

57  43 

56  49 

55  54 

5458 

.54  04 

53  09 

50 

7 

00 

62  19 

6124 

60  29 

59  35 

58  40 

57  46 

56  51 

55  57 

55  02 

54  07 

53  13 

52 18 

7           00 

10 

61  20 

6026 

59  32 

58  37 

57  43 

56  49 

55  55 

55  01 

54  07 

53  13 

52  19 

51 26 

10 

20 

60  19 

^25 

58  31 

57  38 

56  43 

55  50 

54  56 

54  03 

53  10 

52  16 

51  23 

50  29 

20 

30 

59  16 

57  28 

56  35 

55  41 

54  48 

53  55 

53  01 

52  08 

51  16 

50  24 

49  31 

30 

40 

58  10 

57  16 

56  23 

55  29 

54  36 

53  43 

52  50 

51  58 

5106 

50  13, 

49  21 

48  29 

40 

50 

56  59 

5606 

55  12 

54  20 

53  27 

52  35 

51  43 

50  50 

49  59 

49  07 

48  15 

47  24 

50 

8 

00 

55  45 

54  52 

53  59 

53  07 

52  15 

51  23 

50  30 

49  39 

48  48 

47  56 

47  06 

46  15 

8           00 

10 

5428 

53  36 

52  43 

51  50 

50  59 

50  08 

49  16 

48  25 

47  34 

46  44 

45  53 

45  04 

10 

20 

5308 

52  14 

51  22 

50  31 

49  39 

48  49 

47  57 

47  07 

46  17 

45  27 

44  38 

43  48 

20 

30 

51  42 

5050 

4958 

49  06 

48  16 

47  25 

4635 

45  45 

44  56 

44  07 

43  18 

42  29 

30 

40 

50  12 

49  20 

48  29 

4738 

46  48 

4558 

45  <^ 

44  19 

43  31 

42  42 

41  55 

41  06 

40 

50 

4837 

47  47 

46  55 

46  05 

45  16 

44  27 

4338 

42  49 

42  01 

41  14 

40  27 

39  41 

50 

9 

00 

46  57 

46  07 

45  17 

44  27 

43  38 

42  50 

42  02 

41  15 

40  28 

39  41 

38  55 

38  10 

9           00 

10 

45  13 

44  23 

43  33 

42  45 

41  56 

41  09 

40  23 

39  36 

3850 

38  04 

37  20 

36  35 

10 

20 

43  22 

42  34 

41  45 

40  57 

40  09 

39  24 

3838 

37  52 

3708 

36  24 

35  40 

34  57- 

20 

30 

41  26 

4038 

39  51 

39  03 

38  18 

37  33 

36  48 

36  04 

35  20 

34  37 

33  56 

33  13 

30 

40 

39  23 

38  37 

37  50 

37  05 

36  20 

35  37 

34  53 

34  lo 

33  29 

32  47 

32  07 

31  27 

40 

50 

37  14 

36  29 

35  44 

35  00 

34  16 

33  35 

32  54 

32  12 

31  33 

30  52 

30  14 

29  35 

50 

10 

00 

34  58 

34  15 

33  32 

32  50 

32  09 

31  29 

30  48 

30  09 

29  31 

28  53 

28  16 

27  40 

10           00 

10 

32  36 

31  54 

31  13 

30  33 

29  54 

29  16 

2837 

28  01 

27  24 

26  49 

26  14 

25  39 

10 

20 

30  07 

29  28 

28  49 

28  11 

27  34 

2658 

26  23 

25  47 

25  13 

24  41 

24  oS 

23  35 

20 

30 

27  31 

26  55 

26  18 

25  42 

25  08 

24  35 

24  01 

23  29 

22  58 

22  28 

21  57 

21  27 

30 

40 

24  48 

24  14 

23  41 

23  09 

22  37 

22  06 

21  36 

21  07 

20  37 

20  09 

19  42 

19  15 

40 

50 

21  59 

21  29 

2058 

20  29 

20  00 

19  33 

19  06 

18  40 

18  13 

1748 

17  24 

16  59 

50 

11 

00 

19  04 

1837 

18  10 

17  44 

17  19 

16  55 

16  30 

16  08 

15  45 

15  22 

15  02 

14  40 

11           00 

10 

16  03 

15  39 

15  17 

14  55 

14  33 

14  13 

13  53 

13  33 

13  13 

12  54 

12  37 

12  19 

10 

20 

12  57 

12  38 

12  19 

12  01 

II  44 

II  27 

II  10 

10  54 

10  39 

10  24 

10  09 

9  54 

20 

30 

9  47 

9  32 

9  18 

9  04 

851 

8  38 

825 

813 

8  01 

7  50 

7  38 

728 

30 

40 

633 

6  23 

^^3 

6  04 

556 

5  47 

5  39 

5  30 

5  22 

5  '4 

506 

4  59 

40 

SO 

3  17 

3  12 

308 

3  03 

258 

2  54 

2  50 

2  45 

2  41 

238 

2  34 

2  30 

50 

12 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12           00 

_J 

In  Ji'orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitode,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitnde  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


86 


AZIMUTH  OR  TRUE  BEARING. 


LiATlTUME  aO°. 

DECLINATION- 

-SAME  NAME  AS— I^ATITUDE. 

LATITUDE  20°. 

Hour  An 

gle. 

36° 

370 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

li. 

lU. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

b.     m. 

0 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

7  17 

6  48 

6  20 

5  57 

5  35 

5  14 

4  57 

4  40 

4  24 

i  '3 

3  57 

3  44 

10 

20 

14  18 

13  21 

12  29 

II  43 

II  01 

10  23 

9  47 

9  15 

845 

8  16 

7  51 

7  27 

20 

30 

20  47 

19  28 

18  16 

17  12 

16  12 

15  17 

14  26 

13  39 

12  56 

12  16 

II  38 

II  03 

30 

40 

26  39 

25  04 

23  36 

22  16 

21  01 

19  54 

18  50 

17  51 

16  55 

16  05 

15  16 

14  30 

40 

50 

31  49 

30  03 

28  24 

26  53 

25  27 

24  09 

22  55 

21  45 

20  40 

19  40 

18  43 

17  49 

50 

1 

OO 

36  18 

34  25 

32  39 

31  00 

29  28 

28  01 

26  39 

25  22 

24  09 

23  00 

21  56 

20  55 

1     00 

lO 

40  09 

38  13 

36  24 

34  40 

33  02 

31  30 

30  03 

28  39 

27  21 

26  06 

24  56 

23  48 

10 

ao 

43  25 

41  29 

39  38 

37  53 

36  12 

34  37 

33  06 

31  39 

30  16 

2857 

27  41 

26  29 

20 

30 

46  13 

44  18 

42  28 

40  42 

39  00 

37  23 

35  49 

34  20 

32  54 

31  32 

30  13 

28  57 

30 

40 

48  35 

46  43 

44  54 

43  09 

41  27 

39  49 

38  15 

36  44 

35  16 

33  53 

32  31 

31  13 

40 

50 

50  35 

48  46 

46  59 

45  15 

43  35 

41  58 

40  23 

3852 

37  23 

3558 

34  35 

33  15 

50 

2 

OO 

52  18 

50  31 

48  47 

47  06 

45  26 

43  50 

42  17 

40  46 

39  17 

37  51 

3^  27 

3506 

2     00 

lO 

53  44 

52  01 

50  19 

48  40 

47  03 

45  29 

43  56 

42  26 

40  58 

39  31 

38  08 

36  45 

10 

20 

54  56 

53  16 

51  38 

50  01 

48  26 

46  54 

45  23 

43  53 

42  26 

41  00 

39  37 

38  15 

20 

30 

55  57 

54  21 

52  45 

51  12 

49  39 

48  09 

46  39 

45  II 

43  45 

42  20 

40  56 

39  35 

30 

40 

5648 

55  14 

53  42 

52  11 

50  41 

49  12 

47  44 

46  18 

44  53 

43  29 

42  07 

40  46 

40 

50 

57  29 

55  59 

54  30 

53  01 

51  33 

50  07 

48  41 

47  16 

45  52 

44  30 

4308 

41  48 

50 

3 

OO 

58  04 

5636 

55  09 

53  43 

52  17 

50  53 

49  29 

48  06 

46  44 

45  23 

44  02 

42  42 

3     00 

lO 

-  58  30 

57  06 

55  42 

54  18 

52  54 

51  32 

50  10 

48  49 

47  28 

46  08 

44  49 

43  30 

10 

20 

5851 

57  29 

56  07 

54  46 

53  25 

52  04 

50  44 

49  24 

48  05 

46  47 

45  29 

44  II 

20 

30 

59  07 

57  47 

56  27 

55  08 

53  49 

52  30 

51  13 

49  54 

48  36 

47  20 

46  03 

44  47 

30 

40 

59  18 

58  00 

56  42 

55  25 

54  08 

52  51 

51  34 

50  18 

49  02 

47  47 

46  31 

45  16 

40 

50 

59  23 

58  07 

56  53 

55  37 

54  21 

53  06 

5i   51 

50  37 

49  22 

48  08 

46  54 

45  40 

50 

4 

OO 

59  26 

58  11 

5658 

55  44 

5+ -31 

53  17 

52  04 

50  50 

49  37 

4825 

47  12 

45  59 

4     00 

lO 

59  23 

58  12 

57  00 

55  48 

54  36 

53  23 

52  II 

51  00 

49  48 

48  37 

47  25 

46  13 

10 

20 

59  18 

-5808 

56  57 

55  46 

54  37 

53  26 

52  15 

51  05 

49  54 

48  45 

47  34 

46  24 

20 

30 

5908 

58  00 

56  51 

55  42 

54  34 

53  24 

52  16 

51  06 

49  57 

48  48 

47  39 

46  30 

30 

40 

5857 

57  50 

56  42 

55  35 

54  27 

53  19 

52  12 

51  04 

49  56 

48  48 

47  40 

46  31 

40 

50 

58  42 

57  36 

56  29 

55  24 

54  17 

53  II 

52  05 

50  58 

49  51 

48  45 

47  37 

46  30 

50 

5 

OO 

58  24 

57  19 

56  14 

55  09 

54  04 

52  59 

51  53 

50  48 

49  43 

48  37 

47  31 

46  25 

5     00 

lO 

58  03 

57  00 

55  56 

54  52 

5348 

52  44' 

51  40 

50  35 

49  31 

48  26 

47  21 

46  i5 

10 

20 

57  41 

5638 

55  35 

54  32 

53  30 

52  26 

51  23 

50  20 

49  'S 

48  13 

47  09 

46  05 

20 

30 

57  15 

56  13 

55  10 

54  09 

53  07 

52  05 

51  03 

50  00 

48  58 

47  55 

46  53 

45  50 

30 

40 

56  45 

55  45 

54  44 

53  44 

52  42 

51  41 

50  40 

49  38 

4837 

47  35 

46  34 

45  32 

40 

60 

56  15 

55  15 

54  15 

53  15 

52  15 

51  14 

50  15 

49  15 

48  13 

47  13 

46  12 

45  II 

50 

6 

OO 

55  40 

54  42 

53  43 

52  44 

51  45 

50  45 

49  46 

48  46 

47  46 

46  47 

45  47 

44  47 

6     00 

lO 

55  04 

54  06 

5308 

52  10 

51  12 

50  13 

49  14 

48  16 

47  17 

46  18 

45  19 

44  20 

10 

20 

54  26 

53  28 

52  30 

51  33 

50  36 

49  39 

48  40 

47  42 

46  45 

45  47 

44  48 

43  50 

20  ] 

30 

53  44 

52  48 

51  51 

50  54 

49  58 

49  01 

48  04 

47  07 

46  10 

45  13 

44  15 

43  17 

30 

40 

53  00 

52  04 

51  08 

50  13 

49  16 

48  20 

47  24 

46  28 

45  31 

44  35 

43  39 

42  42 

40 

50 

52  13 

51*18 

50  23 

49  28 

48  32 

47  37 

46  42 

45  46 

44  51 

43  56 

43  00 

42  04 

50 

7 

OO 

51  24 

50  29 

49  34 

48  40 

47  46 

46  51 

45  56 

45  02 

44  08 

43  13 

42  18 

41  23 

7     00 

/ 

lO 

50  31 

49  37 

48  44 

47  50 

46  56 

46  02 

45  09 

44  15 

43  21 

42  28 

41  33 

40  39 

10 

20 

49  36 

48  43 

47  50 

46  57 

46  03 

45  II 

44  17 

43  25 

42  32 

41  39 

40  46 

39  53 

20 

30 

4838 

47  45 

46  53 

46  00 

4508 

44  16 

43  24 

42  32 

41  40 

40  48 

39  55 

39  03 

30 

40 

47  37 

46  45 

45  53 

45  02 

44  10 

43  19 

42  28 

41  36 

40  44 

39  54 

39  02 

38  II 

40 

50 

46  32 

45  42 

44  50 

43  59 

43  09 

42  18 

41  27 

40  37 

39  47 

38  57 

38  06 

37  16 

50 

8 

OO 

45  25 

44  34 

43  43 

42  54 

42  04 

41  14 

40  25 

39  35 

38  46 

37  56 

37  07 

36  18 

8     00 

lO 

44  14 

43  24 

42  35 

41  46 

40  56 

40  08 

39  19 

38  30 

37  42 

36  54 

36  06 

35  17 

10 

20 

43  00 

42  II 

41  22 

40  34 

39  45 

3858 

38  10 

37  23 

3636 

3548 

35  01 

34  13 

20 

30 

41  41 

40  53 

40  05 

39  18 

3831 

37  45 

3658 

36  II 

35  25 

34  39 

33  53 

3307 

30 

40 

40  20 

39  33 

38  46 

38  00 

37  13 

3628 

35  42 

34  57 

34  12 

33  28 

32  42 

31  58 

40 

50 

3854 

3808 

37  23 

3638 

35  52 

35  08 

34  23 

33  39 

32  55 

32  12 

31  29 

30  46 

50 

9 

OO 

37  25 

36  40 

35  55 

35  12 

34  27 

33  45 

33  01 

32  18 

31  36 

30  54 

30  12 

29  30 

9     00 

lO 

35  52 

35  07 

34  24 

33  42 

32  59 

32  18 

31  35 

30  54 

3?  ^3 

29  33 

28  52 

28  12 

10 

20 

34  14 

33  32 

32  50 

32  09 

31  27 

30  47 

30  07 

29  26 

28  48 

28  09 

27  29 

26  51 

20 

30 

32  32 

31  52 

31  12 

30  32 

29  52 

29  14 

28  35 

27  57 

27  19 

26  41 

26  04 

25  27 

30 

40 

30  47 

30  08 

29  29 

28  51 

28  13 

27  36 

26  59 

26  23 

25  47 

25  II 

24  35 

24  00 

40 

50 

28  57 

28  20 

27  43 

27  07 

26  31 

25  55 

25  20 

24  46 

24  12 

2338 

23  05 

22  31 

50 

10 

OO 

27  04 

26  28 

25  53 

25  19 

24  45 

24  II 

23  38 

23  06 

22  34 

22  02 

21  30 

20  59 

10     00 

lO 

25  05 

24  32 

24  00 

23  28 

22  55 

22  24 

21  53 

21  23 

20  52 

20  22 

19  53 

19  24 

10 

20 

23  04 

22  33 

22  02 

21  33 

21  02 

20  34 

20  04 

19  37 

19  08 

18  42 

18  14 

^J  47 

20 

30 

20  58 

20  29 

20  02 

19  34 

19  07 

18  40 

18  14 

17  48 

17  22 

1658 

16  32 

16  08 

30 

40 

18  48 

18  22 

17  58 

17  32 

17  C7 

16  44 

16  19 

15  56 

15  33 

15  II 

14  48 

14  25 

40 

50 

1636 

16  13 

15  50 

15  28 

15  06 

14  44 

14  23 

14  02 

13  42 

13  22 

13  02 

12  42 

50 

11 

OO 

14  20 

14  00 

13  40 

13  20 

13  01 

12  42 

12  24 

12  06 

II  48 

"  31 

II  14 

10  56 

11     00 

lO 

12  02 

II  44 

II  27 

II  II 

10  55 

10  39 

10  23 

10  08 

9  54 

938 

9  24 

9  10 

10 

20 

9  41 

9  26 

9  12 

8  59 

8  47 

8  33 

8  21 

8  09 

756 

7  45 

7  33 

7  22 

20 

30 

7  16 

706 

656 

646 

6  36 

6  26 

617 

6  07 

5  59 

5  50 

5  41 

5  32 

30 

40 

4  52 

4  45 

4  38 

4  32 

4  25 

4  18 

4  12 

4  06 

3  59 

3  53 

3  48 

3  42 

40 

50 

2  26 

2  23 

2  20 

2  16 

2  13 

2  09 

2  06 

2.03 

2  00 

I  57 

I  -54 

I  51 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


87 


AZIMUTH    OR    TRUE    BEARING. 


1 

liATITUUE  20°. 

DECIvINATION- 

SAME 

NAME 

AS— LATITUDE. 

LATi'rr'DE:  20°. 

Hour  An 

gle. 

48° 

49° 

50° 

31° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Augle. 

b. 

ni. 

0  t 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

It.      lU. 

0 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

10 

3  34 

3  23 

3  12 

3  03 

2  54 

2  45 

238 

2  30 

2  22 

2  16 

2  09 

2  02 

10 

20 

7  05 

6  43 

623 

6  05 

546 

5  30 

5  13 

458 

4  44 

4  31 

4  17 

4  05 

20 

30 

10  29 

958 

9  29 

9  01 

8- 35 

8  II 

7  47 

7  25 

7  03 

643 

6  24 

6  05 

30 

40 

13  48 

13  08 

12  31 

II  54 

.  II  20 

10  49 

10  18 

948 

9  21 

8m> 

8  28 

8  03 

40 

50 

16  57 

16  09 

15  24 

14  40 

13  59 

13  20 

12  42 

12  07 

II  33 

II  op 

10  29 

958 

50 

1 

00 

19  57 

19  02 

18  09 

17  19 

16  32 

^§46 

15  03 

14  21 

13  41 

13  03 

12  27 

II  51 

1    00 

10 

22  45 

21  43 

20  45 

19  49 

18  57 

18  06 

17  16 

16  29 

15  45 

15  01 

14  20 

13  39 

10 

20 

25  20 

24  15 

23  ir 

22  II 

21  13 

20  16 

19  23 

18  32 

17  41 

16  54 

16  08 

15  23 

20 

30 

27  45 

26  35 

25  28 

24  23 

23  21 

22  21 

21  23 

20  28 

19  34 

18  42 

17  51 

17  03 

30 

40 

29  57 

28  44 

27  34 

26  25 

25  20 

24  17 

23  15 

22  17 

21  19 

20  ?3 

19  30 

18  37 

40 

50 

31  57 

30  42 

29  29 

28  19 

27  10 

26  04 

25  00 

2358 

22  58 

21  59 

21  02 

20  07 

50 

2 

00 

33  47 

32  30 

31  15 

30  04 

28  54 

27  45 

2638 

25  34 

24  31 

23  30 

22  30 

21  32 

2    00 

10 

35  26 

3408 

32  53 

31  38 

30  27 

29  17 

28  08 

27  02 

25  56 

24  52 

23  51 

22  50 

10 

20 

36  55 

35  37 

34  20 

33  06 

31  52 

30  41 

29  31 

28  22 

27  16 

26  II 

25  07 

24  04 

20 

30 

38  15 

3656 

35  39 

34  24 

33  10 

31  58 

30  46 

29  37 

28  29 

27  22 

26  17 

25  13 

30 

40 

39  26 

38  08 

.36  51 

35  35 

34  21 

33  07 

31  56 

30  46 

29  » 

28  29 

27  22 

26  17 

40 

•  50 

40  29 

39  II 

37  54 

3^  39 

35  24 

34  II 

32  59 

31  48 

30  38 

29  29 

28  21 

27  15 

50 

3 

00 

41  24 

40  07 

3851 

37  35 

36  21 

35  07 

33  55 

32  45 

31  34 

30  24 

29  16 

28  08 

3    00 

10 

42  13 

40  57 

39  41 

3826- 

37  II 

3558 

34  46 

33  35 

32  23 

31  13 

30  05 

28  57 

10 

20 

42  55 

41  39 

40  24 

39  10 

3756 

36  43 

35  31 

34  19 

33  08 

31  58 

30  49 

29  41 

20 

30 

43  31 

42  16 

41  02 

39  48 

38  35 

37  22 

36  10 

35  00 

33  48 

32  38 

31  29 

30  21 

30 

40 

44  02 

42  48 

41  35 

40  21 

39  08 

37  56 

36  45 

35  34 

34  23 

33  13 

32  04 

30  55 

40 

50 

44  27 

43  14 

42  01 

40  49 

39  37 

38  25 

37  14 

36  04 

34  54 

33  44 

32  34 

31  26 

50 

4 

00 

44  47 

43  35 

42  24 

41  12 

40  00. 

38  50 

37  39 

3629 

35  20 

34  10 

33  01 

31  52 

4    00 

10 

45  02 

43  ^ 

42  41 

41  30 

40  20 

39  10 

38  00 

36  51 

35  41 

34  32 

33  23 

32  15 

10 

20 

45  13 

44  03 

42  54 

41  44 

40  35 

39  26 

38  16 

37  07 

3558 

34  50 

33  41 

32  33 

20  1 

30 

45  21 

44  12 

43  03 

41  54 

40  45 

39  37 

38  28 

37  20 

36  12 

35  04 

33  56 

32  49 

30  ; 

40 

45  24 

44  16 

4308 

42  00 

40  52 

39  45 

38  37 

37  30 

36  22 

35  14 

34  08 

33  00 

40  \ 

50 

45  24 

44  17 

43  09 

42  03 

40  56 

3948 

38  42 

37  35 

3628 

35  21 

34  15 

3308 

50 

5 

00 

45  19 

44  13 

43  07 

42  02 

40  56 

39  49 

3843 

37  37 

36  31 

35  25 

34  19 

33  12 

5       00 

10 

45  12 

44  07 

43  02 

41  56 

40  51 

39  47 

38  41 

37  37 

36  31 

35  25 

34  19 

33  14 

10 

20 

45  00 

43  57 

42  53 

41  48 

40  44 

39  40 

3836 

37  32 

36  27 

35  22 

34  17 

33  13 

20 

30 

44  47 

43  44 

42  40 

41  37 

40  34 

39  31 

38  27 

37  24 

36  19 

35  16 

34  12 

3308 

30 

40 

44  29 

43  28 

42  25 

41  23 

40  21 

39  18 

38  15 

37  13 

36  09 

35  07 

34  03 

33  00 

40 

50 

44  10 

43  08 

42  07 

41  05 

40  04 

39  03 

38  00 

36  59 

35  56 

34  54 

33  52 

32  49 

50 

6 

00 

43  47 

42  46 

41  46 

40  45 

.39  44 

38  43 

37  43 

36  42 

35  40 

34  39 

33  37 

32  35 

6     00 

10 

43  21 

42  21 

41  21 

40  21 

39  22 

38  22 

37  21 

36  22 

35  21 

34  21 

33  20 

32  19 

10 

20 

42  52 

41  54 

40  54 

39  55 

38  57 

37  58 

3658 

36  00 

35  00 

34  01 

33  01 

32  01 

20  1 

30 

42  20 

41  23 

40  25 

39  27 

38  29 

37  30 

36  32 

35  34 

34  35 

33  36 

32  38. 

31  38 

30 

40 

41  46 

40  49 

39  52 

38  55 

3758 

37  00 

36  03 

35  06 

34  08 

33  11 

32  13 

31  15 

40 

60 

41  09 

40  13 

39  16 

38  20 

37  25 

36  28 

35  32 

34  35 

33  39 

32  42 

31  45 

30  48 

50  j 

7 

00 

40  28 

39  34 

3838 

37  43 

3648 

35  53 

34  57 

34  02 

33  06 

32  II 

31  15 

30  18 

7    00 

10 

39  45 

3f  S 

37  57 

37  03 

36  09 

35  15 

34  20 

33  26 

32  31 

31  37 

30  42 

29  46 

10 

20 

38  59 

38  06 

37  14 

36  20 

35  27 

34  33 

33  40 

32  47 

31  54 

31  00 

30  06 

29  12 

20 

30 

38  II 

37  19 

36  27 

35  35 

34  43 

33  50 

32  58 

32  06 

31  14 

30  22 

28  48 

2836 

30 

40 

37  20 

36  29 

3538 

34  46 

33  55 

33  05 

32  13 

31  23 

30  31 

29  40 

27  56 

40 

50 

36  26 

35  36 

3446 

33  56 

33  06 

32  16 

31  25 

30  36 

29  46 

28  56 

28  06 

27  15 

50 

8 

00 

35  29 

34  40 

33  51 

33  02 

32  13 

31  24 

30  36 

2948 

28  59 

28  09 

27  20 

26  32 

8     00 

10 

34  29 

33  42 

32  54 

32  06 

31  19 

30  31 

29  44 

2856 

28  08 

27  21 

26  33 

25  46 

10 

20 

33  27 

32  41 

31  54 

31  07 

30  22 

29  35 

28  49 

28  02 

27  16 

26  30 

25  44 

24  57 

20 

30 

32  22 

31  37 

30  51 

30  06 

29  21 

2836 

27  51 

27  07 

26  21 

25  36 

24  52 

24  07 

30 

40 

31  14 

30  29 

29  45 

29  02 

28  18 

27  35 

26  51 

26  08 

25  24 

24  41 

2358 

23  15 

40 

50 

30  03 

29  20 

28  37 

27  55 

27  12 

26  31 

25  49 

25  07 

24  25 

23  44 

23  01 

22  19 

50 

9 

00 

28  48 

28  08 

27  27 

26  45 

26  05 

25  24 

24  44 

24  04 

23  23 

22  43 

22  03 

21  22 

9     00 

10 

27  32 

26  53 

26  13 

25  34 

24  54 

24  16 

23  37 

22  58 

22  20 

21  41 

21  03 

20  24 

10 

20 

26  12 

25  34 

24  56 

24  19 

23  42 

23  04 

22  28 

21  51 

21  14 

20  37 

20  00 

19  23 

20 

30 

24  51 

24  14 

2338 

23  02 

22  26 

21  51 

21  15 

20  41 

20  05 

19  31 

18  55 

18  21 

30 

40 

23  26 

22  51 

22  17 

21  42 

21  08 

20  35 

20  02 

19  28 

18  55 

18  23 

17  50 

17  17 

40 

50 

21  58 

21  25 

20  53 

20  21 

19  49 

19  17 

18  46 

18  15 

17  44 

17  13 

16  41 

16  II 

59 

10 

00 

20  28 

19  58 

19  27 

18  56 

18  27 

17  58 

17  28 

1658 

16  29 

16  01 

15  32 

15  02 

10    00 

10 

18  55 

18  27 

17  59 

17  30 

17  02 

16  35 

16  08 

15  40 

15  13 

14  47 

14  20 

13  53 

10 

20 

17  20 

16  54 

16  28 

16  02 

15  37 

15  II 

14  46 

14  21 

13  56 

13  32 

13  07 

12  42 

20 

30 

15  44 

15  19 

14  55 

14  32 

14  08 

13  46 

13  22 

13  00 

12  37 

12  15 

II  52 

II  30 

30 

40 

14  04 

13  42 

13  21 

12  59 

12  39 

12  18 

II  57 

II  37 

II  17 

10  57 

10  37 

10  17 

40 

50 

12  23 

12  03 

II  45 

II  26 

II  08 

10  49 

10  31 

10  14 

9  56 

938 

9  20 

9  02 

50 

11 

00 

10  40 

10  24 

10  07 

9  51 

9  35 

9  19 

9  03 

8  48 

8  33 

8  18 

8  02 

7  46 

11     00 

1 

10 

8  56 

8  42 

8  28 

8  15 

8  01 

7  48 

7  34 

7  21 

7  08 

655 

6  43 

6  3<J 

10 

20 
30 

7  10 

6  59 

6  48 

637 

627 

6  16 

6  05 

5  54 

5  44 

5  34 

5  23 

5  13 

20 

5^5 

5  16 

5  07 

458 

4  50 

4  42 

4  34 

4  27 

4  19 

4  II 

4  03 

356 

30 

40 

3  36 

3  30 

3  25 

3  20 

3  14 

3  09 

3  03 

2  58 

2  53 

2  47 

2  42 

2  37 

40 

50 

I  48 

I  45 

1  42 

I  39 

I  37 

I  34 

I  32 

I  29 

I  27 

I  24 

I  22 

I  19 

50 

12 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


88 


AZIMUTH    OR   TRUE    BEARING. 


I.AT1TUDE  20°. 

DECIylNATION— SAME  NAME  AS- 

-I.ATITUDE. 

LATITUDE  20°. 

Hour  An 

gle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

Ii. 

m. 

0  r 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  r 

0  / 

h.     m. 

0 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0   00 

0  00 

0     00 

10 

I  57 

I  51 

I  45 

I  40 

I  35 

I  29 

I  24 

I  20 

I  16 

I  II 

I  06 

10 

20 

3  52 

3  41 

3  30 

3  19 

3  09 

2  58 

2  49 

2  40 

2  31 

2  22 

2  14 

20 

30 

5  47 

5  30 

5  14 

4  58 

4  42 

4  27 

4  13 

3  59 

3  46 

3  33 

3  20 

30 

40 

7  39 

7  17 

655 

6  34 

6  14 

5  54 

5  35 

5  18 

5  00 

4  42 

4  26 

40 

50 

9  30 

9  02 

835 

8  09 

7  44 

7  20 

6  57 

6  34 

6  12 

5  51 

5  30 

50 

1 

00 

II  17 

10  44 

10  13 

9  42 

9  12 

8  44 

8  16 

7  49 

7  24 

658 

633 

1     00 

10 

13  00 

12  24 

II  48 

II  13 

10  39 

10  06 

9  34 

9  04 

833 

8  04 

736 

10 

20 

14  40 

13  59 

13  18 

12  40 

12  02 

II  25 

10  49 

10  15 

9  41 

9  08 

836 

20 

30 

16  16 

'5  3i 

14  47 

14  03 

13  22 

12  41 

12  02 

II  24 

10  47 

10  10 

9  36 

30 

40 

17  47 

16  58 

16  II 

15  25 

14  40 

13  55 

13  12 

12  31 

II  51 

11  10 

10  32 

40 

50 

19  13 

18  21 

17  31 

16  41 

15  53 

15  05 

14  19 

13  36 

12  52 

12  09 

II  28 

50 

2, 

00 

20  35 

19  41 

18  47 

17  54 

17  03 

16  13 

15  24 

14  37 

13  51 

13  05 

12  20 

a   00 

10 

21  51 

20  55 

39  59 

19  03 

18  09 

17  17 

16  26 

1536 

14  46 

13  58 

13  II 

10 

20 

23  04 

22  04 

21  06 

20  08 

19  12 

18  18 

17  24 

16  31 

15  40 

14  49 

14  00 

20 

30 

24  II 

23  09 

22  09 

23  08 

21  10 

20  II 

19  14 

18  19 

17  24 

16  30 

1538 

14  46 

30 

40 

25  12 

24  09 

22  07 

21  07 

20  08 

19  10 

18  14 

17  19 

16  23 

15  30 

40 

50 

26  09 

25  05 

24  02 

22  59 

21  59 

20  58 

19  59 

19  01 

18  03 

17  06 

i5  10 

50 

3 

00 

27  02 

25  57 

24  52 

23  49 

22  47 

21  45 

20  43 

19  44 

18  45 

17  46 

16  49 

3     00 

10 

27  50 

26  44 

25  39 

24  34 

23  30 

22  27 

21  24 

20  24 

19  24 

18  23 

17  25 

10 

20 

28  33 

27  26 

26  21 

25  15 

24  10 

23  06 

22  03 

21  01 

19  59 

1858 

1758 

20 

30 

29  12 

28  04 

26  58 

25  52 

24  47 

23  42 

22  38 

21  35 

22  06 

20  32 

19  30 

18  29 

30 

40 

29  47 

2839 

27  33 

26  25 

25  20 

24  14 

23  09 

21  03 

20  00 

1858 

40 

50 

30  18 

29  10 

28  03 

26  55 

25  49 

24  43 

23  39 

22  34 

21  30 

20  25 

19  23 

60 

4 

00 

30  44 

29  36 

28  29 

27  22 

26  15 

25  10 

24  03 

22  58 

21  54 

20  49 

21  II 

19  46 

4     00 

10 

31  06 

29  59 

28  52 

27  45 

^^38 

25  32 

24  25 

23  21 

22  16 

20  07 

10 

20 

31  26 

30  18 

29  II 

28  04 

26  58 

25  51 

24  45 

23  40 

22  34 

21  28 

20  24 

20 

30 

31  41 

30  34 

29  27 

28  20 

27  13 

26  07 

25  01 

23  56 

22  50 

21  44 

20  40 

30 

40 

31  53 

30  46 

29  40 

28  33 

27  27 

26  20 

25  14 

24  09 

23  03 

21  57 

20  52 

40 

50 

32  02 

30  55 

29  49 

2843 

27  36 

26  30 

25  24 

24  19 

23  13 

22  08 

21  03 

50 

6 

00 

32  06 

31  01 

29  55 

28  50 

27  44 

26  38 

25  32 

24  27 

23  21 

22  ]6 

21  10 

5     00 

10 

32  09 

31  04 

29  59 

2853 

27  47 

26  42 

25  37 

24  32 

23  26 

22  21 

21  17 

10 

20 

32  08 

31  03 

29  59 

2853 

27  48 

26  44 

25  39 

24  34 

23  29 

22  24 

21  20 

20 

30 

32  03 

31  00 

29  56 

28  51 

27  47 

'U 

25  38 

24  34 

23  30 

22  25 

21  21 

SO 

40 

31  57 

30  53 

29  50 

28  46 

27  42 

25  36 

24  32 

23  28 

22  23 

21  20 

40 

60 

31  47 

30  44 

29  42 

28  38 

27  36 

26  32 

25  29 

24  26 

23  23 

22  19 

21  16 

50 

6 

00 

31  34 

30  32 

29  31 

28  28 

27  26 

26  23 

25  21 

24  19 

23  16 

22  12 

21  10 

6     00 

10 

31  19 

30  18 

29  17 

28  15 

27  14 

26  12 

25  10 

24  09 

23  07 

22  04 

21  03 

10 

20 

31  01 

30  01 

29  00 
28  42 

28  00 

26  59 

25  59 

2458 

23  57 

22  56 

21  54 

20  53 

20 

30 

30  40 

29  40 

27  41 

26  42 

25  42 

24  42 

23  42 

22  42 

21  41 

20  42 

30 

40 

30  17 

29  18 

28  21 

27  22 

26  22 

25  24 

24  24 

23  25 

22  26 

21  27 

20  27 

40 

50 

29  51 

28  54 

27  56 

26  59 

26  01 

25  03 

24  04 

.  23  07 

22  09 

21  10 

20  12 

50 

7 

00 

29  22 

28  26 

27  30 

26  33 

25  37 

24  40 

23  42 

22  46 

21  48 

20  50 

19  53 

7    00 

10 

28  51 

27  56 

27  01 

26  06 

25  10 

24  14 

23  18 

22  23 

21  26 

20  30 

19  33 

10 

20 

28  19 

27  25 

26  31 

25  36 

24  42 

23  47 

22  52 

21  58 

21  02 

20  07 

19  12 

20 

30 

27  43 

26  51 

25  58 

25  04 

24  II 

23  17 

22  24 

21  31 

20  36 

19  42 

18  49 

30 

40 

27  05 

26  14 

25  22 

24  30 

2338 

22  46 

21  53 

21  01 

20  09 

19  15 

18  23 

40 

50 

26  25 

25  35 

24  45 

23  54 

23  03 

,22  12 

21  21 

20  30 

19  39 

18  48 

17  57 

50 

8 

00 

25  43 

24  54 

24  05 

23  16 

.  22  26 

21  36 

20  46 

19  58 

19  oS 

18  18 

17  28 

8     00 

10 

24  58 

24  10 

23  23 

22  35 

21  47 

20  59 

20  II 

19  23 

18  34 

17  45 

16  58 

10 

20 

24  II 

23  25 

22  39 

21  53 

21  06 

20  20 

19  33 

18  47 

18  00 

17  13 

16  26 

20 

30 

23  22 

22  38 

21  53 

21  08 

20  23 

19  38 

18  53 

18  08 

17  23 

1638 

15  53 

30 

40 

22  31 

21  49 

21  05 

20  22 

1938 

18  55 

18  II 

17  28 

16  45 

16  01 

15  18 

40 

50 

21  38 

20  57 

20  16 

19  34 

18  53 

18  10 

17  28 

16  47 

16  05 

15  23 

14  41 

60 

9 

00 

20  43 

20  03 

19  23 

18  44 

18  03 

17  24 

16  43 

16  03 

15  23 

14  44 

14  04 

9     00 

10 

19  46 

19  08 

18  30 

17  52 

17  14 

1635 

1558 

15  19 

14  ST 

14  03 

13  25 

10 

20 

18  47 

18  II 

17  35 

1658 

16  22 

15  46 

15  10 

14  33 

13  57 

13  20 

12  45 

20 

30 

17  47 

17  12 

16  38 

16  03 

15  29 

14  54 

14  20 

13  46 

13  II 

12  37 

12  C3 

30 

40 

16  44 

16  II 

15  39 

15  07 

14  34 

14  01 

13  29 

12  57 

12  25 

II  52 

II  20 

40 

50 

15  40 

15  09 

14  39 

14  08 

13  38 

13  08 

12  37 

12  07 

II  37 

II  06 

10  36 

50 

10 

00 

14  35 

14  06 

1338 

13  09 

.2  40 

12  12 

II  44 

II  16 

10  48 

10  20 

9  51 

10     00 

10 

13  27 

13  00 

12  34 

12  08 

II  42 

II  16 

10  49 

10  23 

9  57 

9  31 

9  C36 

10 

20 

12  18 

II  54 

II  30 

II  06 

10  42 

10  18 

9  55 

9  30 

9  06 

8  42 

8  19 

20 

30 

II  08 

10  47 

10  25 

10  02 

9  41 

9  19 

858 

8  37 

8  15 

7  53 

7  31 

30 

40 

9  57 

9  37 

9  18 

858 

8  39 

8  19 

8  00 

7  41 

7  21 

7  02 

6  43 

40 

50 

845 

8  28 

8  10 

7  54 

736 

7  19 

7  02 

6  45 

6  29 

6  II 

5  55 

60 

11 

00 

7  32 

7  17 

7  02 

6  47 

632 

6  17 

6  03 

5  49 

5  34 

5  19 

5  05 

11     00 

10 

6  18 

6  06 

5  53 

5  41 

528 

516 

5  03 

4  51 

4  39 

4  26 

4  15 

10 

20 

5  03 

4  53 

4  43 

4  33 

4  24 

4  13 

4  03 

3  54 

3  44 

3  34 

3  24 

20 

30 

3  47 

3  40 

3  33 

3  25 

3  18 

3  10 

3  03 

2  55 

2  49 

^  41 

2  32 

30 

40 

2  33 

2  27 

2  22 

2  17 

2  12 

2  07 

2  02 

I  58 

I  52 

I  48 

I  42 

40 

50 

I  17 

I  13 

I  II 

I  08 

1  06 

1  04 

I  01 

0  59 

0  57 

0  54 

0  51 

50 

12 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latltnde,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


89 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  21< 


DECLINATION— SAME  NAME  AS-LATITUDE. 


i^atitude:  21°. 


Hour  Angle. 


li. 
O 


lO 


11 


12 


in. 
OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 


OO 
lO 
20 
30 
40 
50 


24<= 


25°        26°        27°        28°        2»°        30°        31°        32°        33 


O  OO 

37  o- 
.56  04 
65  II 
70  08 

73  06 

74  58 

76  12 

77  00 
77  33 
77  52 
7803 


00 

78  07 

10 

78  05 

2U 

77  59 

3U 

77  50 

40 

77  37 

50 

77  22 

00 

77  05 

10 

76  45 

20 

76  24 

»o 

76  02 

40 

75  37 

5U 

75  " 

00 

74  43 

10 

74  15 

20 

73  45 

30 

73  13 

40 

72  41 

50 

72  07 

00 

71  31 

10 

70  54 

2U 

70  ^6 

30 

6936 

40 

68  54 

50 

68  II 

00  • 

67  26 

10 

66  39 

20 

65  51 

30 

65  00 

40 

64  07 

50 

63  12 

62  14 
61  15 

60  12 

59  07 

5758 
56  47 


00 

55  31 

10 

54  13 

20 

52  50 

30 

51  23 

40 

49  52 

aU 

48  16 

00 

46  36 

10 

44  49 

20 

42  58 

3U 

41  01 

40 

3858 

50 

36  49 

00 

34  32 

10 

32  II 

20 

29  43 

30 

27  09 

4U 

24  27 

50 

21  39 

00 

IS  46 

10 

15  47 

'^O 

12  44 

30 

9  37 

40 

6  26 

50 

3  14 

00 

0  00 

o  00 
29  26 

48  03 
5829 

64  37 

68  27 

70  59 

72  43 

73  55 

74  46 

75  21 

75  44 

7558 

76  05 
76  07 
76  04 
75  57 
75  47 

75  34 
75  19 
75  02 
74  41 
74  20 
73  56 

72  32 

73  05 
72  37 
72  06 

71  35 
71  02 

70  28 

69  53 
69  15 
68  36 

67  55 
67  13 

66  29 

65  42 

64  55 
64  04 
63  12 
62  17 

61  20 
60  20 

59  18 
58  13 
57  05 
55  53 

5438 
53  19 
51  57 
50  31 

49  00 
47  26 

45  45 
43  59 
42  10 
40  14 
38  12 
36  04 

33  50 
31  30 
29  04 
26  32 

23  53 
21  09 

18  19 
15  25 
12  26 
9  22 
6  16 
3  09 
o  00 


24  09  ; 

41  33  ! 

52  32 
5928  ! 

64  01 

67  08  I 

69  19  j- 

70  52  I 

72  01  : 

72  51  ; 

73  25  i 

73  50  i 

74  06 
74  15  I 
74  18 
74  17  I 
74  13  I 

74  04  i 
73  52  I 
7338 
73  21 
73  03 
72  42 

72  19 

71  54 
71  28 
71  00 
70  30 
6958 

69  25 
6851 

68  14 
6736 
6657 
66  14 

65  31 
64  46 
6358 
63  09 
62  17 
61  23 

60  26 
59  26 
58  25 
57  20 
56  12 
55  01 

53  47 
52  28 
51  06 
49  40 
48  10 
46  36 

44  56 
43  II 
41  22 
39  27 
37  26 
35  20 


o  00 
20  20 
36  18 

47  18 

54  45 

59  50 

63  25 

66  00 
67-54 

69  18 

70  21 

71  08 

71  42 

72  07 
72  23 
72  33 
72  37 
72  37 

72  33 
72  25 
72  15 
72  01 
71  45 
71  26 

71  06 
70  43 
70  19 

69  53 
69  24 

6854 

6823 

67  49 
67  14 
6637 
65  57 
65  16 

64  33 
63  49 
63  02 
62  12 
61  22 

60  28 

P32 
33 
57  31 
56  26 

55  20 
54  09 

52  54 
51  37 
50  15 

48  50 
47  20 
45  46 

44  07 
42  23 
40  35 
38  42 
36  43 
3438 


33  09 

32  28 

30  5' 

30  12 

28  27 

27  50 

25  57 

25  23 

23  21 

22  50 

20  40 

20  12 

17  53 

17  29 

15  03 

14  41 

12  08 

II  50 

9  09 

8  55 

6  08 

5  58 

3  04 

3  00 

0  00 

0  00 

o  00 

17  30 
32  01 
42  46 
50  26 

55  54 

59  52 
.62  47 
64  59 

66  39 

67  54 
6852 

6936 
70  08 
70  31 
70  47 

70  57 

71  02 

71  02 
7058 
70  51 
70  40 
70  27 
70  12 

69  53 
69  32 


68  45 
68  19 
67  50 

67  19 
66  47 
66  13 
65  37 
64  59 
64  18 

6336 
62  52 
62  06 
61  17 
60  27 
59  33 

5837 
57  39 
5638 
55  34 
54  27 
53  16 

52  03 
50  46 
49  25 
47  59 
46  31 
44  57 

43  19 
41  36 
39  49 
37  57 
35  59 
33  56 

31  47 
29  34 
27  14 
24  49 
22  19 
19  44 

17  05 
14  21 
II  34 
843 
5  50 
2  55 
o  00 


o  00 

15  18 
28  30 

38  50 

46  33 

52  15 

56  29 

59  42 

62  09 

64  02 

65  29 
6637 

67  30 

68  II 

68  41 

69  03 
69  18 
69  27 

69  31 
69  31 
69  27 
69  20 
69  09 
68  56 

68  39 
68  21 
68  01 
6738 
67  13 
6645 

66  15 

65  44 
65  12 
64  36 

63  59 
63  20 

62  38 
61  55 
61  09 

60  21 
59  31 
5838 

57  43 
56  45 
55  44 
54  40 

53  35 
52  25 

51  II 
49  53 
48  34 

47  10 
45  42 
44  08 

42  31 
40  50 

39  04 
37  12 
35  16 
33  15 

31  08 
2856 
26  39 
24  16 
21  49 
19  17 

16  41 
14  01 
n  17 

8  30 
5  41 
2  51 
o  00 


o  00 
13  34  . 
25  35  I 
35  24  I 
43  02  1 
48  52 

53  19 

56  45 

59  25 

61  29 

63  08 

64  25 

65  26 

66  14 

66  50 

67  i8 
6738 

67  52 

68  01 
68  04 
68  04 
67  59 
67  51 
67  40 

67  26 
67  10 
66  SI 
66  29 
66  c6 
65  40 

65  12 

64  42 

64  10 

63  35 
63.00 

62  22 

61  41 
6058 

60  13 
59  25, 
5836 

57  44 


o  00 
12  08 
23  09 
32  24 
39  52 
45  43 

50  19 
53  56 

56  46 

59  01 

60  49 

62  14 

63  23 

64  17 

65  c» 
65  34 

65  59 

66  17 

66  29 
66  36 
6639 
6638 
6633 
66  25 

66  13 
6558 
65  41 
65  22 
65  00 
64  35 

64  08 
63  40 
63  08 
62  35 
62  00 

61  23 

60  43  ! 
60  01  ! 
59  16  I 
58  29  I 

57  41  ! 
56  49  ! 


56  49 

55  55 

55  51 

5458 

54  51 

53  58 

53  48 

52  55 

52  42 

51  50 

51  33 

50  41 

50  20 

49  29 

49  04 

48  13 

47  45 

46  55 

46  21 

45  31 

44  53 

44  05 

43  20 

42  33 

41  44 

40  58 

40  04 

39  18 

38  19 

37  35 

36  29 

35  46 

34  34 

33  52 

32  34 

31  54 

30  29 

29  51 

28  19 

27  43 

26  OS 

25  30 

23  45 

23  14 

21  20 

20  51 

18  51 

18  26 

16  18 

15  55 

13  41 

13  22 

II  01 

10  46 

8  18 

8  06 

5  33 

5  25 

2  47 

2  43 

0  00 

0  00 

o  00 
10  57 

21  04 
2947 
37  00 

42  49 

47  29 

51  13 

54  12 
5636 

58  32 

60  06 

61  22 

62  22 

63  II 

63  50 

64  20 
64  43 

64  59 

65  10 
65  16 
65  17 
65  14 
65  08 

64  59 
64  47 

64  31 
64  14 
63  53 
63  30 

63  04 
62  37 
62  07 
61  34 
6l  00 
60  24 

59  44 
59  03 
58  20 

57  34 
56  45 

55  54 

55  01 
54  05 
53  05 

52  03 
5058 
49  50 

4838 
47  23 
46  05 
44  43 

43  16 
41  46 

40  II 
3834 
36  51 
35  03 
33  II 
31  15 

29  13 

27  08 

24  57 

22  43 
20  23 
18  00 

15  34 

13  04 

10  31 

7  55 

5  18 

2  39 

o  00 


o  00 
958 
19  16 

27  29 
34  26 

40  10 

44  52 
48  40 

51  46 

54  17 

56  20 

58  01 

59  24 

60  30 

61  25 

62  07 

62  42 

63  09 

63  29 
63  43 
63  52 
6356 
6356 
63  52 

63  45 
63  35 
63  21 
63  05 
62  46 
62  25 

62  00 
61  34 
61  06 
60  34 
60  00 
59  25 

58  47 
5806 

57  23 
5638 

55  50 
54  59 

54  06 
53  II 

52  12 
51  II 
5007 
48  59 

47  48 
46  33 

45  15 
43  54 
42  29 

41  00 

39  26 
37  49 
36  07 
34  21 
32  31 
30  37 

28  37 
26  33 
24  26 
22  13 
19  56 
17  36 

15  12 

12  46 

10  16 

7  44 

5  10 

2  35 

o  00 


34° 


o  00 

9  08 
17  43 
25  26 

32  06 
37  43 

42  23 
46  15 

49  25 

52  03 

54  II 
5558 

57  27 
5838 
5938 

60  26 

61  05 
61  35 

61  58 

62  16 
62  28 
62  34 
62  37 
62  36 

62  31 
62  22 
62  10 
61  56 
61  39 
61  18 

60  55 
60  31 
60  03 
59  33 
59  00 

58  25 

5748 
5708 
56  27 

55  42 
54  54 
54  05 

53  12 
52  17 
51  20 

50  19 
49  14 
48  07 

46  57 
45  44 
44  27 

43  06 
41  42 
40  13 

3841 
37  05 
35  24. 

33  40 
31  51 
29  58 

28  00 
2558 
23  53 
21  43 
19  30 
17  12 

14  51 
12  28 

10  02 
7  33 
5  03 
2  31 
o  00 


36° 


o  00 

8  24 
16  22 

23  37 

30  00 

35  28 

40  05 

43  57 

47  II 

49  53 

52  07 
5358 

55  32 
5648 

57  52 
5845 

59  28 

60  02 

60  29 

60  50 

61  05 
61  14 
61  19 
61  20 

61  17 
61  10 
61  00 
60  48 
60  32 
60  13 

59  51 
59  27 
59  00 

58  31 
58  00 
57  27 

56  49 
56  10 
55  29 
54  46 
54  00 

53  10 

■52  18 

51  24 

50  27 
49  27 

48  23 
47  17 

46  07 

44  54 
43  38 
42  18  ; 
40  55  I 
39  27  I 

37  57 

36  22  I 

34  42  i 
32  59 

31  II 
29  21 

27  25 

35  25 
23  22 
21  15 
19  03 
16  49 

14  31 
12  10 

9  47 
7  22 

4  55 
2  28 
o  00 


Hour  Angle. 


b. 

O 


10 


11 


12 


m. 
00 
10 
20 
30 
40 
50 

00 

10 

20 

30 

40  • 

50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  Jiorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


90 


AZIMUTH  OR  TRUE  BEARING. 


liATlTlIDE:  21°. 


DECLINATION— SAME  NAME  AS -LATITUDE. 


L.AT1TUDE  21°. 


Hour  Auiile. 


36° 

37° 

0   / 

0  / 

o  oo 

0  00 

7  45 

7  II 

15  II 

14  07 

22  01 

20  33 

28  05 

26  21 

33  23 

31  28 

37  55 

35  55 

41  47 

39  44 

45  02 

43  00 

47  47 

45  46 

50  06 

48  08 

52  02 

50  08 

53  39 

51  50 

55  01 

53  15 

56  09 

54  27 

57  07 

55  27 

57  52 

56  17 

58  30 

5658 

59  00 

57  31 

59  24 

57  58 

59  41 

58  17 

59  53 

5833 

60  01 

58  42 

60  03 

58  47 

60  02 

5848 

5958 

5845 

59  50 

5839 

5938 

58  29 

59  24 

58  17 

59  07 

58  00 

58  47 

57  42 

58  24 

57  20 

57  59 

5656 

57  30 

56  29 

57  00 

55  59 

56  27 

55  28 

55  51 

54  52 

55  13 

54  15 

54  33 

53  35 

53  50 

52  53 

53  04 

52  08 

52  15 

51  20 

51  24 

50  30 

50  30 

49  37 

49  34 

48  40 

48  34 

47  42 

47  32 

46  41 

46  26 

45  35 

45  17 

44  27 

44  05 

43  15 

42  50 

42  02 

41  31 

40  44 

40  08 

39  21 

3842 

37  57 

37  12 

36  28 

3538 

34  56 

34  00 

33  19 

32  19 

31  38 

30  33 

29  55 

2843 

28  07 

26  50 

26  15 

24  52 

24  19 

22  51 

22  21 

20  45 

20  18 

18  37 

18  12 

16  25 

16  03 

14  II 

13  51 

II  53 

II  37 

9  33 

9  20 

7  12 

7  02 

4  49 

4  42 

2  25 

2  21 

0  00 

0  00 

38° 


39° 


40° 


41° 


42° 


43° 


45° 


46° 


47° 


Hour  Anu'le. 


O 


11 


12 


m. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
60 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
60 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


o  00 
6  42 
13  10 
19  14 

24  45 

29  42 

34  02 
3748 

41  03 

43  52 

46  15 

48  17 

50  02 

51  31 

52  46 

53  49 

54  43 

55  27 

56  03 
56  33 

56  55 

57  12 
57  24 
57  31 

57  34 
57  33 
57  28 
57  20 
57  09 
56  55 

5636 
56  16 
55  53 
55  27 
54  59 
54  27 

53  54 
53  17 
52  38 
51  57 
51  12 
50  25 

49  36 
48  43 

47  48 
46  51 
45  49 

44  45 

4338 

42  28 
41  14 
39  57 
38  36 
37  12 

35  45 
34  13 
32  38 

30  59 
29  17 
27  31 

25  42 
23  47 
2:  51 

19  51 
17  47 
15  41 

13  32 
II  20 

9  07 
6  52 

4  35 
2  18 
o  00 


o  00 

6  15 

12  19 

18  02 
23  19 

28  04 

32  16 

35  59 

39  12 

42  01 

44  26 

46  30 

48  17 

49  49 

51  07 

52  14 

53  09 

53  57 

54  35 

55  07 
55  33 

55  52 

56  06 
56  16 

56  20 
56  20 
56  17 
56  II 
56  01 
5548 

55  31 
55  12 
54  50 
54  26 
53  58 
53  28 

52  55 
52  18 
51  41 
51  00 

50  17 
49  30 

48  42 

47  49 
46  56 

45  58 
44  58 

43  55 

•  42  48 
41  38 

40  26 
39  10 
37  50 

36  27 

35  00 

33  31 
31  57 
30  20 
28  39 
26  55 

25  08 
23  i6 
21  21 

19  24 
17  23 
15  19 

13  13 
II  04 

8  54 
6  42 
4  29 
2  14 
o  00 


o  00 

5  51 

11  33 
16  57 

21  58 
26  32 

30  37 

34  15 

37  27 

40  14 

42  39 

44  46 

46  35 

48  09 

49  30 

50  39 

51  38 

52  27 

53  09 

53  43 

54  10 
54  32 
54  48 

54  59 

55  06 
5508 
55  07 
55  01 
54  53 
54  41 

54  26 
54  08 
53  47 
53  24 
52  57 
52  28 

51  55 
51  21 
50  44 
50  04 
49  21 
4836 

47  47 
46  56 
46  03 

45  06 
44  07 

43  04 

41  58 
40  50 
39  38 

38  23 
37  05 

35  43 

34  18 
32  49 

31  17 
29  42 
28  03 
26  20 

24  34 

22  45 
20  52 
18  57 
16  59 
14  58 

12  54 
10  49 

8  41 

6  32 
4  22 


o  00 

5  30 
10  52 
1558 
20  45 
25  07 

29  05 

32  38 

35  46 
38  33 

40  58 

43  06 

44  56 

46  32 

47  55 

49  06 

50  07 

50  59 

51  43 

52  19 

52  49 

53  13 
53  30 
53  44 

53  52 
53  56 

53  57 
53  52 
53  46 
53  35 

53  21 
53  04 
52  45 
52  22 
51  56 
51  28 

50  57 
50  23 
49  47 
49  08 

48  25 
47  41 

46  54 
46  03 

45  II 
44  14 
43  16 
42  14 

41  10 
40  02 
38  51 
37  38 

36  20 
34  59 

33  35 
32  08 

30  38 
29  04 
27  26 
25  45 

24  02 
22  15 
20  25 
18  31 
16  35 
14  37 

12  36 
10  34 
8  29 

6  23 
4  16 


o  00 

5  10 
10  13 

15  03 
19  36 
2348 

27  38 

31  05 

34  10 
36  55 

39  20 

41  28 

43  20^ 

44  57 

46  21 

47  35 

48  38 

49  32 

50  18 

50  56 

51  28 

51  53 

52  13 
52  28 

5238 
52  44 
52  45 
52  43 
52  38 
52  28 

52  15 
51  59 
51  41 
51  19 
50  54 
50  27 

49  57 
49  24 
48  49 
48  10 
47  29 
46  46 

45  59 
45  10 
44  17 
43  22 

42  25 
41  24 

40  20 
39  14 
38  04 
36  51 

35  34 
34  16 

32  52 
31  27 
2958 

28  25 
26  50 
25  II 

23  29 

21  43 

■  19  57 

18  05 

16  12 
14  16 

12  18 
10  19 
8  17 

6  14 
4  10 

V  2  05 
o  00 


o  00 
4  51 
938 

14  12 

18  33 
22  34 

26  16 
2937 

32  39 

35  21 

37  45 

39  53 

41  45 

43  23 

44  49 

46  05 

47  10 

48  06 

48  53 

49  33 

50  07 

50  33 

50  56 

51  12 

51  23 
51  31 
51  34 
51  33 
51  29 
51  20 

51  09 
50  54 
50  37 
50  17 
49  53 
49  26 

48  57 
48  26 
47  51 
47  13 
46  33 

45  50 

45  04 
44  16 
43  25 

42  31 
41  34 

40  34 

39  31 

38  26 
37  16 

36  05 
34  49 

33  32 

32  10 
30  46 
29  18 

27  48 
26  14 
24  37 

22  57 
21  14 

19  29 
17  40 

15  49 
13  56 

12  00 

10  03 

8  04 

6  04 

4  03 
2  02 
o  00 


0  00 

4  35 
9  06 

13  27 
17  33 

21  25 

24  59 
28  15 

31  12 

33  52 

36  14 

38  21 

40  13 

41  52 

43  20 

44  36 

45  43 

46  40 

47  29 

48  II 

48  47 

49  15 
49  39 

49  57 

50  10 
50  19 
50  23 
50  24 
50  20 
50  14 

50  04 
49  50 
49  34 
49  14 
48  51 
48  26 

47  58 
47  27 
46  53 
46  16 

45  37 
44  55 

44  10 
43  23 

42  32 
41  39 
40  43 

39  44 

38  43 

37  38 
36  30 
35  19 

34  05 

32  49 

31  28 
30  06 
28  40 
27  II 

25  38 
24  03 

22  25 
20  44 
19  01 

17  15 
15  27 
13  36 

II  43 
9  49 
7  53 
556 
358 

1  59 
o  00 


o  00 
4  20 
8  36 
12  44 
16  39 
20  21 

23  46 
26  56 

29  49 
32  26 

34  46 
36  52 

38  45 

40  24 

41  52 

43  09 

44  18 

45  16 

46  07 

46  50 

47  27 

47  58 

48  22 
48  42 

48  57 

49  07 
49  12 
49  15 
49  12 
49  07 


48  45 
48  30 
48  II 
47  50 
47  26 

4658 
46  28 
45  55 
45  19 
44  41 
44  00 

43  16 
42  29 
41  39 
40  48 

39  52 
38  55 

37  53 
36  50 
35  44 
34  34 
33  21 
32  05 

30  47 
29  26 
28  01 
26  33 
25  03 
23  30 

21  54 
20  15 
18  34 
16  51 
15  04 
13  16 

II  26 
9  35 
7  41 
5  47 
3  52 
156 
o  00 


0  00 

4  06 

8  08 
12  03 
1548 
19  20 

22  39 
25  42 
28  29 

31  03 

33  21 

35  26 

37  18 
3858 

40  26 

41  44 

42  53 

43  53 

44  45 

45  30 

46  q8 

46  40 

47  06 
47  27 

47  44 

47  55 

48  02 
48  04 
48  04 
47  59 

47  52 
47  41 
47  26 
47  09 
46  48 
46  25 

45  58 
45  29 
44  57 
44  23 
43  45 
43  04 

42  21 

41  36 
40  47 
39  56 
39  02 

38  05 

37  05 

36  03 

34  56 
33  48 

32  37 
31  23 

30  06 

28  45 
27  23 
25  57 
24  28 
22  56 

21  23 

19  46 

18  07 

16  26 

14  42 

12  57 

II  10 

9  20 
7  30 

5  39 
3  46 

1  54 
o  00 


o  00 

3  53 
7.42 

11  26 

14  59 

18  23 

21  34 

24  31 

27  14 

29  45 

32  00 

34  03 

35  54 

37  33 

39  02 

40  20 

41  30 

42  31 

43  24 

44  10 

44  49 

45  23 

45  50 

46  12 

46  30 
46  43 
46  51 
46  55 
46  55 
46  52 

46  46 
46  35 
46  22 
46  06 
45  45 
45  23 

44  58 
44  29 
43  58 
43  25 
42  48 
42  09 

41  26 
40  42 

39  54 
39  03 

38  II 

37  15 

36  16 
35  14 
34  10 

33  03 
31  53 

30  40 

29  24 

28  06 
26  45 

25  20 
23  54 

22  24 

20  52 

19  17 
17  41 
16  02 
14  21 

12  38 

10  52 
9  06 
7  18 
5  30 
3  40 
I  51 
o  00 


O 


10 


11 


12 


ni. 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
60 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


91 


AZIMUTH  OR  TRUE  BEARING. 


liATITlTDE  31°. 

DECLINATION- 

-SAME  NAME  AS— I^ATITUDE. 

LATITUDE  21°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

5»° 

Hour  Angle. 

li.     ni. 

O  1 

0  / 

0  / 

0  r 

0  1 

0  / 

0  / 

0  r 

0  / 

0  / 

0  ' 

0  / 

li.    m. 

0     OO 

O   OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

3  40 

3  30 

3  19 

3  08 

2  59 

2  50 

2  41 

2  34 

2  26 

2  18 

2  12 

205 

10 

20 

7  19 

656 

635 

6  15 

556 

5  39 

5  22 

506 

4  51 

4  37 

423 
632 

4  10 

20 

30 

10  51 

10  18 

9  47 

9  18 

8  50 

8  24 

8  00 

736 

7  14 

9  06 

613 

30 

40 

14  15 

13  32 

12  53 

12  15 

II  39 

II  05 

10  33 

10  02 

9  34 

839 

8  14 

40 

50 

17  29 

16  39 

15  50 

15  05 

14  22 

13  41 

13  02 

12  25 

II  50 

II  15 

10  43 

10  12 

SO 

1     OO 

20  33 

19  34 

1839 

17  47 

16  57 

16  10 

15  25 

14  41 

14  00 

13  20 

12  42 

12  06 

1     00 

lO 

23  24 

22  20 

21  18 

20  21 

19  25 

18  32 

17  41 

16  52 

16  06 

15  21 

14  37 

13  57 

10 

20 

26  02 

24»53 

23  48 

22  45 

21  44 

20  46 

19  50 

18  56 

18  05 

17  16 

16  27 

15  42 

20 

30 

28  28 

27  16 

26  06 

24  59 

23  54 

22  51 

21  52 

20  54 

1958 

19  05 

18  13 

17  23 

30 

40 

30  41 

29  26 

28  12 

27  02 

25  54 

24  49 

23  46 

22  45 

21  45 

20  48 

19  53 

1859 

40 

50 

32  42 

31  24 

30  09 

28  57 

27  46 

26  37 

25  31 

24  27 

23  25 

22  24 

21  26 

20  29 

50 

2           OO 

34  33 

33  13 

31  56 

3041 

29  28 

28  18 

27  10 

26  03 

24  59 

23  56 

22  54 
24  16 

21  55 

2     00 

lO 

36  II 

34  51 

33  33 

32  17 

31  03 

29  50 

28  40 

27  31 

26  25 

25  ao 

23  15 

10 

20 

37  40 

36  19 

35  00 

33  43 

32  28 

31  15 

30  03 

28  53 

27  44 

26  38 

25  33 

24  29 

20 

30 

3858 

37  38 

36  19 

35  02 

33  46 

32  32 

31  19 

30  07 

28  58 

27  49 

26  42 

25  37 

30 

40 

40  09 

38  48 

37  29 

36  12 

34  56 

33  41 

32  28 

31  16 

30  05 

28  55 

2748 

26  41 

40 

50 

41  10 

39  50 

3832 

37  15 

35  58 

34  43 

33  30 

32  18 

31  06 

29  56 

2847 

27  40 

50 

3     OO 

42  04 

40  45 

39  27 

38  10 

36  54 

35  40 

34  26 

33  13 

32  01 

30  50 

29  41 

28  32 

3     00 

lO 

42  51 

41  33 

40  16 

3859 

37  44 

36  30 

35  16 

34  03 

32  51 

31  40 

30  29 

29  21 

10 

20 

43  31 

42  14 

40  58 

39  42 

38  27 

37  13 

36  00 

34  47 

33  35 

32  24 

31  14 

30  05 

20 

30 

44  06 

42  50 

41  34 

40  20 

39  05 

37  51 

36  39 

35  26 

34  14 

33  03 

31  53 

3043 

30 

40 

44  35 

43  20 

42  05 

40  51 

39  37 

38  24 

37  12 

35  59 

34  48 

33  37 

32  27 

31  18 

40 

60 

44  59 

43  45 

42  31 

41  17 

40  04 

3852 

37  41 

36  29 

35  18 

34  07 

32  57 

31  48 

50 

4     OO 

45  17 

44  03 

42  51 

41  39 

40  27 

39  16 

38  04 

36  53 

35  42 

34  31 

33  22 

32  13 

4     00 

lO 

45  31 

44  19 

4308 

41  56 

40  45 

39  34 

38  24 

37  14 

36  03 

34  53 

33  44 

32  35 

10 

20 

45  40 

44  30 

43  19 

42  09 

40  59 

39  48 

3839 

37  29 

36  19 

35  10 

34  02 

32  53 

20 

30 

45  46 

44  36 

43  26 

42  17 

41  08 

39  59 

3850 

37  41 

36  32 

35  23 

34  15 

33  07 

30 

40 

45  47 

44  39 

43  30 

42  22 

41  14 

40  06 

3857 

37  49 

36  41 

35  32 

34  25 

33  18 

40 

50 

45  45 

44  38 

43  30 

42  23. 

41  16 

40  08 

39  01 

37  54 

3647 

35  39 

34  32 

33  24 

50 

5     OO 

45  39 

44  33 

43  27 

42  ao 

41  14 

40  07 

39  01 

37  55 

3648 

35  41 

34  35 

3328 

5     00 

lO 

45  31 

44  25 

43  19 

42  14 

41  09 

40  03 

3858 

37  52 

36  46 

35  41 

.34  35 

33  29 

10 

20 

45  18 

44  14 

43  09 

42  05 

41  00 

39  55 

38  51 

37  46 

36  42 

35  37 

34  31 

33  26 

20 

30 

45  02 

43  59 

42  56 

41  53 

40  48 

39  45 

38  41 

37  37 

36  33 

35  29 

34  25 

33  21 

30 

40 

44  43 

43  41 

42  39 

41  36 

40  34 

39  31 

38  28 

37  26 

36  22 

35  19 

34  15 

33  12 

40 

50 

44  22 

43  21 

42  19 

41  18 

40  16 

39  14 

38  13 

37  II 

36  08 

35  05 

34  03 

33  01 

50 

6     OO 

43  58 

42  58 

41  56 

40  57 

39  56 

3854 

37  53 

36  53 

35  51 

34  49 

3348 

32  46 

6     00 

lO 

43  31 

42  31 

41  31 

40  32 

39  32 

3^32 

37  32 

36  32 

35  31 

34  31 

33  30 

32  29 

10 

20 

43  00 

42  01 

41  03 

40  05 

39  05 

3806 

37  07 

36  08 

35  08 

34  09 

33  09 

32  09 

20 

30 

42  27 

41  30 

40  32 

39  35 

3836 

3738 

36  40 

35  42 

34  44 

33  44 

32  46 

31  47 

30 

40 

41  52 

40  55 

39  58 

39  01 

38  04 

37  07 

36  10 

35  12 

34  15 

33  17 

32  20 

31  22 

40 

50 

41  13 

40  18 

39  21 

38  26 

37  30 

36  33 

35  37 

34  41 

33  45 

32  48 

31  51 

30  54 

50 

7     OO 

40  32 

39  37 

3842 

37  47 

36  52 

35  57 

35  02 

34  06 

33  II 

32  16 

31  20 

30  24 

7     00 

lO 

39  48 

38  54 

3800 

37  06 

36  12 

35  18 

34  24 

33  30 

32  35 

31  41 

30  46 

29  52 

10 

20 

39  01 

3809 

37  16 

3623 

35  30 

34  37 

33  44 

32  50 

31  58 

31  04 

30  10 

29  17 

20 

30 

38  12 

37  20 

3628 

35  36 

34  45 

33  53 

33  01 

32  09 

31  16 

30  24 

2932 

28  39 

30 

40 

37  20 

36  29 

3538 

34  48 

33  57 

33  06 

32  15 

31  24 

30  33 

29  42 

28  51 

27  59 

40 

50 

36  25 

35  35 

34  46 

33  56 

33  07 

32  16 

31  27 

30  38 

29  47 

28  57 

28  07 

27  17 

50 

8     OO 

35  28 

3438 

33  50 

33  01 

32  13 

31  25 

30  37 

2948 

29  00 

28  10 

27  22 

26  33 

8     00 

lO 

34  27 

33  40 

32  52 

32  05 

31  18 

30  30 

29  43 

2856 

28  09 

27  22 

26  34 

25  47 

10 

20 

33  24 

3238 

31  51 

31  06 

30  20 

29  33 

2848 

28  02 

27  16 

26  30 

25  44 

24  59 

20 

30 

32  18 

31  33 

3048 

30  03 

29  18 

28  33 

27  49 

27  05 

26  21 

25  36 

24  52 

24  08 

30 

40 

31  10 

30  25 

29  41 

2859 

28  15 

27  32 

26  49 

26  c6 

25  23 

24  40 

2358 

23  15 

40 

50 

2958 

29  16 

28  34 

27  51 

27  10 

26  28 

25  47 

25  05 

24  24 

23  41 

23  01 

22  20 

50 

9     OO 

2843 

28  03 

27  21 

26  41 

26  02 

25  21 

24  41 

24  01 

23  21 

22  42 

22  02 

21  22 

9    00 

lO 

27  27 

26  47 

26  08 

25  30 

24  51 

24  II 

23  33 

22  55 

22  17 

21  39 

21  01 

20  23 

10 

20 

26  07 

25  29 

24  52 

24  15 

23  38 

23  00 

22  24 

21  47 

21  II 

20  35 

1958 

19  23 

20 

30 

24  44 

24  09 

23  32 

22  57 

22  22 

21  47 

21  12 

2037 

20  03 

19  28 

18  54 

18  20 

30 

40 

23  19 

22  45 

22  II 

21  37 

21  04 

20  31 

1959 

19  26 

1853 

18  19 

17  47 

17  15 

40 

50 

21  52 

21  20 

20  48 

20  16 

19  45 

19  13 

1843 

18  12 

17  41 

17  09 

1639 

16  08 

50 

lO     OO 

20  22 

19  51 

19  21 

18  52 

18  23 

17  53 

17  24 

16  55 

16  26 

15  58 

15  30 

15  01 

10     00 

lO 

18  49 

18  21 

17  53 

17  25 

16  58 

16  31 

16  04 

15  38 

15  II 

14  44 

14  18 

13  52 

10 

20 

17  14 

16  48 

16  23 

1558 

15  32 

15  07 

14  43 

14  18 

13  54 

13  29 

13  05 

12  41 

20 

30 

15  37 

15  14 

.  14  51 

14  28 

14  05 

13  41 

13  20 

12  57 

12  35 

12  13 

II  50 

II  29 

30 

40 

13  58 

13  37 

13  17 

12  55 

12  35 

12  15 

II  54 

II  34 

II  14 

10  54 

10  35 

10  15 

40 

50 

12  18 

12  00 

II  40 

II  23 

II  04 

10  46 

10  29 

10  II 

9  53 

9  36 

9  18 

9  00 

50 

11     OO 

10  36 

10  19 

10  04 

9  47 

932 

9  16 

9  01 

8  45 

8  30 

815 

8  00 

746 

11     00 

lO 

852 

839 

8  25 

8  12 

7  59 

7  45 

7  32 

7  19 

7  07 

654 

6  41 

629 

10 

20 
30 

708 

656 

646 

635 

624 

613 

6  03 

5  52 

5  42 

5  32 

5  22 

5  12 

20 

5  21 

5  14 

5  05 

4  57 

4  49 

4  41 

4  33 

4  25 

4  17 

4  09 

4  02 

3  54 

30 

40 

334 

3  29 

3  24 

3  18 

3  13 

3  07 

3  02 

2  57 

2  52 

2  46 

2  41 

2  36 

40 

50 

I  48 

I  45 

I  42 

I  39 

136 

I  34 

I  31 

I  28 

I  26 

I  23 

I  21 

I  18 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


92 


AZIMUTH  OR  TRUE  BEARING. 


liATITVDE:  21°. 

DECLINATION— SAME  NAME  AS— LATITUDE. 

LATITITDS;  21°. 

1 

dour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

0  / 

Hour  Angle. 

b. 

m. 

o  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

b.    m. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

I  53 

I  47 

I  41 

I  37 

I  31 

I  26 

I  21 

I  17 

.  I  12 

I  08 

10 

20 

3  5^ 

3  45 

3  34 

3  22 

3  12 

3  02 

2  52 

2  43 

2  33 

2  24 

2  15 

20 

30 

5  54 

5  37 

5  20 

5  03 

4  48 

4  32 

4  17 

4  03 

3  49 

3  36 

3  23 

30 

40 

7  49 

726 

7  03 

6  42 

6  21 

6  01 

5  41 

5  22 

5  04 

4  47 

4  30 

40 

50 

9  41 

9  13 

8  45 

8  19 

7  52 

728 

7  04 

6  40 

6  18 

556 

5  35 

50 

1 

OO 

II  30 

10  57 

10  25 

9  53 

9  22 

853 

8  25 

758 

7  30 

7  04 

6  40 

1     00 

lO 

13  16 

12  38 

12  00 

II  24 

10  49 

10  15 

9  43 

9  11 

8  41 

8  II 

7  42 

10 

20 

14  57 

14  15 

13  33 

12  53 

12  14 

11  37 

II  00 

10  24 

9  49 

e  17 

8  44 

20 

30 

16  35 

15  48 

15  02 

14  18 

13  35 

12  54 

12  14 

II  35 

10  56 

10  19 

9  43 

30 

40 

18  07 

17  16 

16  27 

15  40 

14  53 

14  08 

13  25 

12  42 

12  01 

II 21 

10  41 

40 

60 

19  34 

18  40 

17  48 

16  57 

16  08 

15  20 

14  33 

13  47 

13  02 

12  19 

11  37 

50 

2 

OO 

20  56 

20  00 

19  05 

18  12 

17  19 

16  28 

15  39 

14  50 

14  02 

13  16 

12  30 

2     00 

lO 

22  14 

21  15 

20  17 

19  21 

18  26 

17  32 

16  40 

15  49 

1458 

14  09 

13  22 

10 

20 

23  26 

22  25 

21  26 

20  27 

19  29 

18  34 

17  39 

It)  45 

15  52 

15  01 

14  10 

20 

30 

24  33 

23  30 

22  29 

21  29 

20  29 

19  31 

18  34 

1738 

16  43 

15  50 

14  57 

30 

40 

25  35 

24  31 

23  28 

22  26 

21  25 

20  25 

19  26 

18  28 

17  31 

1636 

15  41 

40 

50 

26  32 

25  27 

24  22 

23  19 

22  16 

21  14 

20  14 

19  15 

18  16 

17  19 

16  22 

50 

3 

OO 

27  24 

26  17 

25  12 

24  08 

23  04 

22  01 

20  59 

19  58 

18  56 

17  58 

17  01 

3     00  i 

lO 

28  12 

27  04 

25  58 

24  53 

23  48 

22  44 

21  41 

20  39 

19  37 

18  36 

17  37 

10 

20 

28  55 

27  47 

26  40 

25  34 

24  28 

23  23 

22  19 

21  16 

20  13 

19  II 

18  10 

20 

30 

29  33 

38  25 

27  18 

26  II 

25  04 

23  59 

22  53 

21  49 

20  46 

19  43 

18  41 

30 

40 

30  07 

29  00 

27  52 

26  44 

25  37 

24  31 

23  25 

22  20 

21  15 

20  12 

19  09 

40 

50 

30  38 

29  30 

28  21 

27  13 

26  06 

24  59 

23  54 

22  47 

21  42 

20  38 

19  35 

50 

4 

OO 

31  04 

29  55 

28  47 

27  39 

26  31 

25  25 

24  19 

23  12 

22  06 

21  01 

19  57 

4     00 

lO 

31  26 

30  17 

29  09 

28  02 

•26  54 

25  47 

24  40 

23  33 

22  28 

21  22 

20  18 

10 

20 

31  44 

30  35 

29  28 

28  21 

27  13 

26  06 

24  59 

23  52 

22  46 

21 40 

20  35 

20 

30 

31  59 

30  51 

29  43 

28  36 

27  28 

26  21 

25  15 

24  08 

23  02 

21 56 

20  50 

30 

40 

32  ID 

31  02 

29  55 

28  48 

27  40 

26  34 

25  27 

24  21 

23  15 

22  09 

21  03 

40 

50 

32  17 

31  n 

30  04 

2857 

27  50 

26  43 

25  37 

24  31 

23  24 

22  18 

21  13 

50 

6 

OO 

32  21 

31  15 

30  09 

29  03 

27  56 

26  50 

25  44 

24  38 

23  31 

22  26 

21  21 

5     00 

lO 

32  23 

31  17 

30  12 

29  06 

28  00 

26  54 

25  48 

24  43 

23  36 

22  31 

21  26 

10 

20 

32  21 

3'i  16 

30  10 

29  06 

28  00 

26  55 

25  50 

24  44 

23  39 

22  34 

21  29 

20 

30 

32  16 

31  II 

30  07 

29  03 

27  58 

26  54 

25  49 

24  44 

23  39 

22  34 

21  30 

30 

40 

32  08 

31  04 

30  01 

28  57 

27  53 

26  49 

25  45 

24  41 

23  36 

22  32 

21  28 

40 

50 

31  58 

30  55 

29  52 

28  49 

27  45 

26  42 

25  39 

24  35 

23  32 

22  28 

21  24 

50 

6 

OO 

31  44 

30  42 

29  40 

2838 

27  35 

26  33 

25  30 

24  27 

23  23 

22  21 

21  19 

6     00 

lO 

31  27 

30  27 

29  26 

28  25 

27  22 

26  21 

25  19 

24  17 

23  14 

22  12 

21  10 

10 

20 

31  09 

30  09 

29  08 

28  08 

27  07 

26  06 

25  05 

24  04 

23  02 

22  01 

21  00 

20 

30 

30  48 

29  48 

28  49 

27  50 

26  50 

25  49 

24  49 

23  49 

22  49 

21  48 

20  48 

30 

40 

30  24 

29  25 

28  27 

27  28 

26  29 

25  30 

24  32 

23  32 

22  32 

21  32 

20  33 

40 

50 

29  57 

29  00 

28  02 

27  05 

26  07 

25  09 

24  II 

23  13 

22  14 

21  15 

20  17 

50 

7 

OO 

29  28 

28  31 

27  35 

26  39 

25  42 

24  45 

23  49 

22  52 

21  54 

20  56 

19  59 

7     00 

lO 

28  56 

28  01 

27  06 

26  11 

25  15 

24  19 

23  23 

22  27 

21  31 

20  34 

19  38 

10 

20 

28  23 

27  29 

26  35 

2";  41 

24  46 

23  51 

22  57 

22  02 

21  06 

20  12 

IQ  16 

20 

30 

27  46 

26  54 

26  01 

25  08 

24  14 

23  21 

22  28 

21  34 

20  41 

19  47 

18  53 

30 

40 

27  09 

26  17 

25  25 

24  33 

23  42 

22  50 

21  58 

21  05 

20  13 

19  20 

18  27 

40 

50 

26  27 

25  37 

24  47 

23  56 

23  06 

22  16 

21  25 

20  33 

19  42 

18  51 

18  00 

50 

8 

OO 

25  45 

24  55 

24  07 

23  18 

22  28 

21  40 

20  50 

20  00 

19  II 

18  21 

17  31 

8     00 

lO 

24  59 

24  12 

23  25 

22  37 

21  49 

21  01 

20  14 

19  25 

18  37 

17  49 

17  01 

10 

20 

24  12 

23  26 

22  40 

21  54 

21  07 

20  21 

19  35 

18  49 

18  02 

17  15 

16  29 

20 

30 

23  23 

22  38 

21  54 

21  09 

20  24 

19  40 

18  55 

18  10 

17  25 

16  40 

15  55 

30 

40 

22  32 

21  49 

21  06 

20  23 

19  40 

18  57 

18  14 

17  30 

16  46 

16  03 

15  20 

40 

50 

21  38 

20  57 

20  15 

19  34 

18  53 

18  II 

17  30 

16  49 

16  07 

15  25 

14  44 

50 

8 

OO 

20  43 

20  03 

19  23  " 

18  44 

18  04 

17  24 

16  45 

16  04 

15  25 

14  45 

14  05 

9     00 

lO 

19  45 

19  07 

■  18  30 

17  52 

17  13 

16  36 

15  58 

15  20 

14  42 

14  04 

13  26 

10 

20 

18  46 

18  10 

17  35 

16  59 

16  22 

15  46 

15  10 

14  34 

13  58 

1322 

12  46 

20 

30 

17  43 

17  II 

16  37 

16  03 

15  28 

14  55 

14  21 

13  46 

13  12 

12  38 

12  04 

30 

40 

16  42 

16  10 

15  38 

15  06 

14  33 

14  02 

13  29 

12  57 

12  25 

II  53 

II  21 

40 
50 

60 

1538 

15  09 

1438 

14  08 

13  37 

13  07 

12  38 

12  07 

II  37 

II  07 

10  37 

lO 

OO 

14  32 

14  04 

13  37 

13  08 

12  40 

12  12 

II  44 

II  16 

10  48 

10  20 

9  53 

10     00 
10 

10 

13  25 

12  59 

12  33 

12  07 

II  41 

II  15 

10  50 

10  24 

9  58 

9  31 

9  06 

20 

12  16 

11  53 

II  29 

II  05 

10  42 

10  18 

9  54 

9  30 

9  07 

8  43 

8  20 

20 

30 

II  06 

10  45 

10  23 

10  02 

.9  40 

9  19 

8  58 

836 

8  14 

7  53 

731 

30 

40 

956 

9  37 

9  17 

857 

8  38 

8  00 

7  41 

7  21 

7  03 

6  44 

40 

50 

8  44 

8  27 

8  09 

7  52 

7  35 

7  18 

7  01 

6  45 

6  28 

6  II 

5  55 

50 

11 

OO 

7  31 

7  16 

7  01 

6  47 

632 

6  18 

6  03 

5  49 

5  33 

5  19 

5  05 

11     00 

lO 

617 

6  05 

5  52 

5  40 

5  28 

5  15 

5  04 

4  51 

4  39 

4  27 

4  15 

10 

20 

5  02 

4  53 

4  42 

4  33 

4  22 

4  13 

4  03 

3  54 

3  44 

5  34 

3  24 

20 

30 

3  47 

3  40 

3  33 

3  25 

3  17 

3  10 

3  03 

2  56 

2  48 

2  40 

2  34 

30 

40 

2  32 

2  27 

2  22 

2  17 

2  II 

2  07 

2  02 

I  57 

I  52 

I  48 

I  42 

40 

50 

I  16 

I  13 

I  II 

I  09 

I  06 

I  04 

I  02 

0  58 

0  56 

0  54 

0  52 

50 

la 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing, 


93 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  22°. 

DECt,INATION- 

-SAME  NAME  AS— l,ATITUDE. 

l^ATITi;»E  22°. 

Hoar  Angle. 

24° 

25° 

26° 

27° 

28° 

29= 

30° 

31° 

32« 

33° 

34° 

35° 

Hour  Angle. 

b. 

m. 

o    / 

0    f 

0    / 

0     r 

0    / 

0    / 

0    r 

0    / 

0    / 

0    / 

0    / 

0    / 

b.          m. 

O 

OO 

O  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0          00 

lO 

4838 

36  54 

29  13 

23  58 

20   TO 

17  21 

^5  °? 

13  25 

12  01 

10  50 

9  52 

9  01 

10 

20 

65  32 

54  50 

47  48 

41    18 

36  02 

31  46 

28  16 

25  22 

22  55 

20  50 

19  04 

17  31 

20 

30 

72  24 

6458 

58  14 

52  16 

47  02 

42  29 

39  32 

35  06 

32  06 

29  30 

27  12 

25  10 

30 

40 

7548 

6956 

64  23 

59  12 

54  28 

50  08 

46  14 

42  42 

39  32 

36  41 

34  06 

31  47 

40 

50 

77  44 

72  54 

68  13 

6346 

59  33 

55  36 

51  56 

4832 

45  23 

42  28 

3948 

37  21 

50 

1 

OO 

78  51 

74  46 

70  45 

66  51 

63  08 

59  33 

56  10 

5258 

49  57 

47  07 

44  29 

42  00 

1           00 

lO 

79  32 

75  59 

72  29 

69  03 

65  42 

62  29 

59  23 

56  24 

53  33 

50  51 

48  17 

45  50 

10 

20 

79  55 

76  47 

73  40 

70  36 

6736 

64  40 

61  49 

59  03 

56  23 

53  49 

51  22 

49  01 

.      20 

30 

80  06 

77  18 

74  30 

71  44 

69  00 

66  19 

63  41 

61  08 

5838 

56  13 

53  53 

51  37 

30 

40 

80  10 

77  37 

75  04 

72  33 

70  02 

67  34 

65  09 

62  46 

60  26 

58  09 

55  55 

53  46 

40 

50 

80  06 

77  47 

75  27 

73  07 

70  48 

68  32 

66  16 

64  02 

61  51 

59  41 

57  36 

55  32 

50 

2 

OO 

79  58 

77  49 

75  40 

73  30 

71  22 

69  14 

67  08 

65  03 

62  59 

60  57 

58  57 

57  00 

2           00 

lO 

79  47 

77  46 

75  46 

73  46 

71  46 

69  46 

67  47 

65  50 

»63  53 

61  57 

60  04 

58  II 

10 

20 

79  32 

77  40 

^7546 

73  54 

72  01 

70  08 

68  17 

66  26 

64  35 

62  46 

60  57 

59  09 

20 

30 

79  15 

77  29 

75  43 

73  57 

72  II 

70  24 

6839 

6653 

65  08 

63  23 

61  40 

59  57 

30 

40 

78  55 

77  15 

75  35 

73  55 

72  14 

70  33 

6853 

67  13 

65  33 

63  53 

62  14 

60  36 

40 

50 

7833 

7659 

75  23 

_  7348 

^72  12 

70  37 

69  01 

67  26 

65  50 

64  14 

62  40 

61  05 

50 

3 

OO 

78  II 

7640 

75  10 

73  39 

72  07 

70  36 

69  04 

6733 

66  02 

64  30 

62  59 

61  28 

3           00 

lO 

77  46 

76  20 

74  53 

73  26 

71  58 

70  31 

69  03 

6736 

66  08 

64  40 

63  13 

61  45 

i® 

20 

77  20 

75  58 

74  34 

73  II 

71  46 

70  23 

6858 

67  34 

66  09 

64  45 

63  20 

61  56 

20 

30 

76  53 

75  33 

74  13 

72  53 

71  32 

70  10 

6849 

67  28 

6607 

64  45 

63  24 

62  02 

30 

40 

76  25 

7508 

73  50 

72  32 

71  15 

6957 

68  38 

67  20 

66  01 

64  41 

63  23 

62  04 

40 

50 

75  55 

74  40 

73  26 

72  10 

7056 

69  39 

68  24 

67  07 

65  51 

64  34 

63  18 

62  01 

50 

4 

OO 

75  24 

74  12 

73  00 

71  47 

70  33 

69  20 

68  07 

6653 

65  39 

64  24 

63  10 

61  55 

4          00 

lO 

74  52 

73  42 

72  32 

71    21 

70  10 

6858 

67  47 

6635 

65  23 

64  II 

62  59 

61  46 

10 

20 

74  19 

73  II 

72  02 

70  53 

6944 

6834 

67  25 

66  15 

65  05 

63  54 

62  44 

61  33 

20 

30 

73  44 

72  38 

71  31 

70  24 

69  17 

68  09 

67  01 

65  53 

64  44 

6336 

62  27 

61  17 

30 

40 

73  09 

72  04 

70  59 

6953 

68  47 

67  41 

66  35 

65  28 

64  21 

63  13 

62  07 

60  59 

40 

50 

72  32 

71  28 

70  24 

69  20 

6S  16 

67  II 

66  06 

65  01 

63  55 

62  50 

61  45 

6038 

SO 

a 

OO 

71  53 

70  51 

6948 

68  46 

6743 

6639 

6536 

64  32 

63  27 

62  23 

61  19 

60  14 

6           00 

lO 

71  14 

70  13 

69  II 

68  10 

67  07 

6605 

65  03 

64  01 

^2  58 

61  55 

60  52 

59  48 

10 

20 

7033 

69  33 

68  33 

67  32 

6631 

65  29 

64  29 

63  27 

62  25 

6i  24 

60  22 

59  19 

20 

30 

69  51 

68  51 

67  51 

6652 

65  52 

64  52 

63  52 

62  52 

61  51 

60  51 

59  50 

58  49 

30 

40 

6907 

68  08 

67  10 

66  10 

65  12 

64  13 

63  14 

62  14 

61  14 

60  14 

59  14 

58  15 

40 

30 

68  21 

67  24 

66  26 

65  28 

64  30 

63  31 

62  33 

61  35 

6036 

59  37 

5838 

57  C9 

50 

6 

OO 

67  34 

6637 

65  40 

6443 

63  46 

62  48 

61  51 

60  52 

59  55 

58  57 

57  59 

57  00 

6           00 

lO 

6645 

65  49 

64  52 

6356 

62  59 

62  03 

61  05 

60  09 

59  II 

58  15 

57  17 

56  19 

10 

20 

65  5+ 

64  59 

64  03 

63  07 

62  11 

61  15 

60  19 

59  22 

58  27 

57  30 

56  33 

55  36 

20 

30 

65  02 

64  07 

63  II 

62  16 

61  21 

60  25 

.    59  29 

58  34 

57  39 

56  42 

55  46 

54  51 

30 

40 

64  06 

62  16 

62  17 

61  23 

60  28 

59  33 

58  38 

57  44 

5648 

55  53 

54  57 

54  03 

40 

50 

63  10 

61  22 

60  27 

59  33 

5839 

57  44 

56  50 

55  56 

55  01 

54  06 

53  12 

50 

7 

OO 

62  II 

61  17 

60  23 

59  30 

5836 

57  42 

5648 

55  54 

55  00 

54  07 

53  13 

52  18 

7          00 

lO 

61  08 

60  16 

59  22 

58  28 

57  35 

56  42 

55  49 

54  55 

54  02 

53  09 

52  15 

51  22 

10 

20 

60  04 

59  12 

58  18 

57  25 

56  32 

55  39 

54  46 

53  54 

53  01 

52  08 

51  17 

50  24 

20 

30 

5857 

5805 

57  II 

56  19 

55  26 

54  35 

53  42 

52  50 

51  58 

51  06 

50  15 

49  23 

30 

40 

57  46 

56  55 

56  02 

55  10 

54  18 

53  26 

52  34 

51  43. 

50  51 

50  01 

49  09 

48  17 

40 

60 

56  33 

55  42 

54  49 

53  58 

53  07 

52  15 

51  24 

50  33 

49  42 

4852 

48  00 

47  10 

50 

8 

OO 

55  16 

54  25 

53  33 

52  42 

51  52 

51  00 

5"  09 

49  19 

48  29 

47  39 

4649 

45  58 

8           00 

lO 

53  56 

53  05 

52  14 

51  24 

50  32 

49  4"2 

48  52 

48  03 

47  13 

46  23 

45  35 

44  45 
43  28 

10 

20 

52  32 

51,42 

50  51 

50  00 

49  II 

48  21 

47  31 

46  42 

45  53 

45  05 

44  16 

20 

30 

51  04 

50  14 

49  23 

48  34 

47  44 

46  55 

46  06 

45  18 

44  30 

43  42 

42  55 

42  08 

30 

40 

49  32 

48  42 

47  52 

47  03 

46  14 

45  26 

44  38 

43  51 

43  03 

42  16 

41  29 

40  43 

40 

50 

47  54 

.47  06 

46  16 

45  28 

44  40 

43  52 

43  05 

42  18 

41  32 

40  46 

40  CX3 

39  15 

50 

9 

OO 

46  13 

45  24 

44  36 

43  48 

43  01 

42  14 

41  28 

40  42 

39  57 

39  12 

38   28 

37  43 

9           00 

lO 

44  26 

43  38 

42  51 

42  04 

41  18 

40  32 

39  46 

39  02 

38  17 

37  34 

36  51 

36  08 

10 

20 

42  34 

41  47 

41  00 

40  15 

39  30 

38  45 

38  01 

37  17 

36  35 

35  52 

35  10 

34  28 

20 

30 

40  37 

39  51 

39  05 

38  21 

37  37 

36  53 

36  II 

35  29 

34  47 

34  06 

33  25 

32  45 

30 

40 

3833 

37  49 

37  05 

36  21 

35  38 

34  57 

34  15 

33  35 

32  55 

32  15 

31  36 

30  55 

40 

50 

35  24 

35  41 

3458 

34  17 

33  36 

32  55 

32  15 

31  37 

3058 

30  21 

29  43 

29  06 

50 

lO 

OO 

34  09 

33  28 

32  47 

32  07 

31  28 

30  49 

30  12. 

29  34 

28  57 

28  21 

27  46 

27  II 

10           00 

lO 

31  47 

31  08 

30  29 

29  51 

29  13 

2837 

28  02 

27  26 

26  52 

26  18 

25  44 

25  12 

10 

20 

29  20 

28  42 

28  05 

27  31 

26  55 

26  20 

25  47 

25  14 

24  42 

24  II 

23  38 

23  09 

20 

30 

26  46 

26  II 

25  37 

25  03 

24  31 

24  00 

23  28 

2258 

22  28 

21  59 

21  30 

21  02 

30 

40 

24  05 

23  34 

23  02 

22  31 

22  02 

21  33 

21  05 

20  37 

20  10 

19  44 

19  17 

1.8  52 

40 

50 

21  20 

20  51 

20  23 

19  56 

19  28 

19  02 

1837 

18  13 

1748 

17  24 

17  01 

16  38 

50 

11 

OO 

18  28 

18  03 

17  38 

17  15 

16  51 

16  27 

16  06 

1544 

15  23 

15  02 

14  41 

14  22 

11           00 

lO 

15  32 

15  10 

14  50 

14  29 

14  09 

13  50 

13  31 

13  12 

12  54 

12  36 

12  19 

12  03 

10 

20 

12  31 

12  13 

12  56 

II  40 

II  24 

II  08 

10  53 

10  38 

10  23 

10  08 

9  54 

9  40 

20 

30 

027 

9  14 

9  00 

847 

835 

823 

8  12 

8  00 

7  49 

7  39 

7  27 

7  17 

30 

40 

6  20 

^5i 

6  oi 

5  53 

5  44 

5  37 

5  28 

5  21 

5  13 

5  07 

4  59 

40 

50 

3  II 

3  06 

3  01 

2  57 

2  53 

2  49 

2  45 

2  41 

2  37 

2  34 

2  30 

2  26 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CX) 

0  00 

0  00 

0  00 

0  00 

12          00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 


when 


In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
in  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 


When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


94 


AZIMUTH  OR  TRUE  BEARING. 


IjATITUDE:  22°. 

DECLINATION- 

-SAME  NAME  AS-LATITUDE. 

liATITUDS:  22°. 

Hour 

Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44" 

46° 

46° 

47° 

Hour  Angle. 

h. 

m. 

o    / 

0    ' 

0    / 

0    ' 

0    / 

0    ' 

0    ' 

0    / 

0    / 

0    > 

0    / 

0    / 

li.          m. 

O 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0        00 

lO 

8  17 

7  40 

7  06 

6  36 

6  10 

5  46 

5  25 

5  05 

4  47 

4  31 

4  V5 

4  01 

10 

20 

i6  II 

14  59 

13  56 

13  00 

12  09 

II  23 

10  41 

10  03 

9  29 

8  56 

8  27 

7  59 

20 

30 

23  21 

21  44 

20  17 

1859 

17  48 

16  43 

15  44 

14  49 

13  59 

13  13 

12  JC 

II  50 

30 

40 

29  41 

27  47 

26  02 

24  27 

23  00 

21  41 

20  26 

19  19 

18  15 

17  17 

16  22 

15  32 

40 

50 

35  06 

33  01 

31  06 

29  20 

27  42 

26  II 

24  46 

23  28 

22  13 

21  05 

20  01 

19  00 

50 

1 

OO 

39  41 

37  33 

35  31 

3338 

31  52 

30  14 

28  41 

27  14 

25  52 

24  36 

23  24 

22  15 

1           00 

lO 

43  33 

41  23 

39  19 

37  23 

35  34 

33  50 

32  12 

30  40 

29  12 

27  49 

26  30 

25  17 

10 

20 

46  46 

44  37 

42  34 

40  37 

3846 

37  00 

35  19 

33  43 

32  12 

30  44 

29  22 

28  03 

20 

30 

49  26 

47  21 

45  20 

43  24 

41  33 

39  46 

38  03 

36  26 

34  52 

33  22 

31  56 

30  34 

30 

40 

51  40 

49  39 

47  41 

45  46 

43  57 

42  II 

40  28 

38  50 

37  16 

35  43 

34  16 

32  51 

40 

60 

53  31 

51  34 

49  39 

47  49 

46  01 

44  16 

42  34 

40  56 

39  21 

37  49 

36  20 

34  54 

50 

2 

OO 

55  05 

53  II 

51  21 

49  32 

47  48 

46  05 

44  25 

42  47 

41  13 

39  40 

38  II 

36  45 

2           00 

lO 

56  21 

54  32 

52  46 

51  01 

49  18 

4738 

46  CO 

44  24 

42  51 

41  19 

39  49 

38  23 

10 

20 

57  24 

55  39 

53  56 

52  16 

'  50  36 

48  58 

47  22 

45  49 

44  16 

42  45 

41  17 

39  51 

20 

30 

58  16 

5636 

54  56 

53  18 

51  42 

50  07 

48  33 

47  01 

45  30 

44  01 

42  34 

41  09 

20 

40 

5858 

57  22 

55  46 

54  II 

5238 

51  05 

49  33 

48  03 

46  35 

45  07 

43  41 

42  17 

40 

50 

59  32 

57  59 

56  27 

54  55 

53  24 

51  54 

50  25 

48  56 

47  29 

46  04 

44  39 

43  15 

50 

3 

OO 

5958 

58  29 

56  59 

55  30 

54  02 

52  34 

51  07 

49  42 

%8  16 

■  46  52 

45  29 

44  06 

3           00 

lO 

60  18 

5851 

57  24 

55  58 

54  34 

53  09 

51  44 

50  20 

48  57 

47  34 

46  12 

44  51 

10 

20 

60  32 

5908 

57  44 

56  20 

54  58 

53  35 

52  13 

50  50 

49  29 

48  08 

46  48 

45  29 

20 

30 

60  40 

59  19 

5758 

56  37 

55  17 

53  55 

52  35 

51  15 

49  56 

4837 

47  18 

46  00 

30 

40 

60  45 

59  26 

58  07 

56  48 

55  30 

54  II 

52  53 

51  35 

50  17 

48  59 

47  42 

46  26 

40 

^ 

50 

60  45 

59  29 

58  11 

56  54 

5538 

54  22 

53  05 

51  49 

50  33 

49  17 

48  01 

46  46 

50 

4 

OO 

60  41 

59  26 

58  12 

56  57 

55  43 

54  28 

53  13 

51  58 

50  43 

49  29 

48  15 

47  01 

4           00 

lO 

60  33 

59  21 

5808 

56  55 

55  4? 

54  30 

53  16 

52  03 

50  50 

49  38 

48  25 

47  12 

10 

20 

60  23 

59  12 

58  00 

56  50 

5538 

54  27 

53  16 

52  04 

50  53 

49  42 

48  30 

47  19 

20 

30 

60  09 

59  00 

57  49 

56  40 

55  31 

54  21 

53  12 

52  02 

50  51 

49  42 

48  32 

47  22 

30 

40 

59  52 

58  45 

57  36 

56  28 

55  21 

54  12 

53  03 

51  55 

50  46 

49  38 

48  29 

47  20 

40 

50 

59  32 

58  26 

57  19 

56  13 

55  06 

53  59 

52  52 

51  45 

5038 

49  30 

48  23 

47  16 

50 

5 

OO 

59  09 

58  04 

56  59 

55  54 

54  49 

53  44 

52  37 

51  31 

50  25 

49  20 

48  13 

47  06 

5           00 

lO 

5845 

57  41 

56  37 

55  33 

54  28 

53  24 

52  20 

51  15 

50  10 

49  05 

48  00 

46  55 

10 

20 

58  17 

57  15 

56  II 

55  09 

54  06 

53  03 

51  59 

50  56 

49  52 

48  48 

47  44 

46  40 

20 

30 

57  47 

56  46 

55  44 

54  42 

53  41 

52  38 

51  35 

50  33 

49  30 

48  28 

47  25 

46  22 

30 

40 

57  14 

56  14 

55  13 

54  13 

53  12 

52  10 

51  09 

50  08 

49  06 

48  05 

47  03 

46  01 

40  - 

50 

56  40 

55  41 

54  40 

53  40 

52  41 

51  41 

50  40 

49  40 

48  40 

47  38 

46  38 

45  37 

50. 

6 

OO 

56  02 

55  03 

54  05 

53  06 

52  08 

51  08 

50  09 

49  09 

48  10 

47  10 

46  10 

45  10 

6           00 

lO 

55  22 

54  24 

53  26 

52  28 

51  31 

50  32 

49  35 

48  36 

47  37 

46  39 

45  39 

44  40 

10 

20 

54  40 

53  43 

52  46 

51  49 

50  52 

49  54 

4857 

48  00 

47  01 

46  03 

45  05 

44  08 

20 

30 

53  55 

52  59 

52  03 

51  07 

50  10 

49  14 

48  17 

47  21 

46  24 

45  26 

44  30 

43  33 

30 

40 

5308 

52  13 

51  17 

50  22 

49  26 

48  31 

47  35 

46  39 

45  43 

44  47 

43  51 

42  55 

40 

50 

52  18 

51  23 

50  29 

49  34 

48  39 

47  44 

46  50 

45  55 

45  00 

44  04 

43  09 

42  14 

50 

7 

OO 

51  25 

50  31 

49  :7 

48  44 

47  50 

46  56 

46  02 

4508 

44  14 

43  19 

42  25 

41  31 

7           00 

lO 

50  30 

49  37 

48  44 

47  51 

4658 

46  04 

45  12 

44  18 

43  25 

42  31 

41  38 

40  45 

10 

20 

49  32 

48  39 

47  47 

46  55 

46  02 

45  10 

44  18 

43  26^ 

42  33 

41  41 

40  48 

39  56 

20 

30 

48  31 

47  40 

46  47 

45  56 

45  05 

44  14 

43  23 

42  31 

41  39 

40  47 

39  56 

39  05 

30 

40 

47  27 

46  37 

45  45 

44  55 

44  04 

43  13 

42  23 

41  33 

40  42 

39  51 

39  01 

38  II 

40 

50 

46  20 

45  30 

44  41 

43  50 

43  01 

42  II 

41    22 

40  32 

39  42 

38  53 

38  03 

37  14 

50 

8 

OO 

45  10 

44  21 

43  32 

42  43 

41  54 

41  05 

40  16 

39  28 

38  39 

37  50 

37  03 

36  15 

8           00 

lO 

43  57 

43  09 

42  21 

41  33 

40  44 

3956 

3908 

38  21 

37  34 

36  47 

35  59 

35  12 

10 

20 

42  41 

41  53 

41  06 

40  19 

39  31 

38  45 

37  58 

37  12 

36  26 

35  39 

34  53 

34  07 

20 

30 

41  21 

40  34 

39  4S 

39  03 

38  15 

37  30 

36  45 

35  59 

35  14 

34  29 

33  44 

32  59 

30 

40 

39  57 

38  12 

38  27 

37  42 

3656 

36  12 

3528 

34  44 

34  00 

33  15 

32  32 

31  49 

40 

50 

3830 

37  4^ 

37  01 

36  19 

35  35 

34  51 

34  08 

33  25 

32  42 

32  00 

31  17 

30  36 

50 

9 

OO 

37  00 

36  17 

35  33 

34  51 

34  09 

33  26 

32  44 

32  03 

31  21 

30  41 

29  59 

29  20 

9           00 

lO 

35  26 

34  44 

34  01 

33  21 

32  39 

31  59 

31  19 

30  38 

2958 

29  18 

2839 

28  00 

10 

20 

33  48 

33  07 

32  26 

31  47 

31  07 

30  28 

29  49 

29  10 

28  32 

27  54 

27  16 

26  38 

20 

30 

32  06 

31  26 

30  48 

30  09 

-9  31 

2853 

28  16 

27  39 

27  02 

26  27 

25  50 

25  14 

30 

40 

30  20 

29  43 

29  05 

28  2q 

27  52 

27  15 

26  40 

26  05 

25  30 

24  55 

24  21 

23  47 

40 

50 

28  30 

27  55 

27  19 

26  45 

26  09 

25  35 

25  02 

24  29 

23  55 

23  23 

22  50 

22  18 

50 

lO 

OO 

26  37 

26  03 

25  29 

24  56 

24  24 

23  52 

23  21 

22  49 

22  18 

21  47 

21  16 

20  46 

10           00 

lO 

24  40 

24  08 

23  36 

23  05 

22  35 

22  04 

21  35 

21  05 

20  37 

20  08 

19  39 

19  II 

10 

20 

22  39 

22  10 

21  40 

21  12 

20  43 

,  20  16 

19  48 

19  20 

18  54 

18  27 

18  01 

17  35 

20 

30 

20  35 

20  07 

19  40 

19  14 

18  48 

18  23 

17  57 

17  33 

17  08 

16  44 

16  20 

15  57 

30 

40 

iS  27 

18  02 

17  3- 

17  14 

16  50 

16  27 

16  05 

15  42 

15  20 

1458 

14  36 

14  15 

40 

50 

16  16 

15  54 

15  32 

15  II 

14  50 

,14  5° 

14  10 

13  50 

13  30 

13  11 

12  51 

12  33 

50 

11 

OO 

14  02 

13  43 

13  24 

13  06 

12  47 

12  29 

12  12 

II  55 

II  38 

II  21 

II  05 

10  48 

11            00 

lO 

II  46 

II  30 

II  14 

10  59 

10  43 

10  28 

10  13 

9  59 

9  44 

9  30 

_  9  17 

9  02 

10 

20 

9  27 

9  15 

9  02 

849 

837 

825 

8  12 

8  01 

7  50 

7  39 

7  27 

7  16 

20 

30 

708 

657 

6  48 

638 

6  29 

6  19 

6  II 

6  01 

5  53 

5  44 

536 

528 

30 

40 

4  45 

4  38 

4  33 

426 

4  20 

4  14 

4  07 

4  02 

356 

3  50 

3  44 

3  39 

40 
50 

50 

2  23 

2  20 

2  16 

2  13 

2   ID 

2  06 

2  04 

2  01 

I  58 

I  55 

I  52 

I  49 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

1 

0  00 

12           00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  Wect. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


95 


AZIMUTH  OR  TRUE  BEARING. 


I^ATITl  UE  22°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  22°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

570 

58° 

59° 

Honr  Angle. 

li.          m. 

0    / 

0    / 

0    ' 

0    / 

0    / 

0    / 

0    / 

0    I 

0    / 

0    / 

0    1 

0    / 

li.          m. 

O           OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CX3 

0  00 

0  00 

0  00 

0  00 

0  00 

0        00 

lO 

3  49 

336 

3  25 

3  14 

3  04 

2  55 

2  46 

2  37 

2  30 

2  22 

2  15 

2  09 

10 

20 

7  34 

7  09 

6  47 

627 

6  06 

5  48 

5  31 

5  15 

458 

4  44 

4  30 

4  15 

20 

30 

II  12 

10  37 

10  06 

9  35 

9  06 

8  39 

8  13 

7  48 

7  25 

7  03 

6  42 

6  21 

30 

40 

14  43 

13  58 

13  17 

12  37 

II  59 

II  24 

10  51 

10  18 

9  48 

•9  19 

851 

824 

40 

60 

18  04 

17  09 

16  19 

15  31 

14  46 

14  04 

13   22 

12  44 

12  07 

II  31 

10  57 

10  25 

50 

1           00 

21  II 

20  10 

19  12 

18  17 

17  25 

1636 

15  48 

15  03 

14  20 

13  39 

12  59 

12  21 

1           00 

10 

24  05 

22  59 

21  54 

20  54 

19  55 

19  00 

18  07 

17  17 

16  28 

15  41 

14  57 

14  14 

10 

20 

26  46 

25  34 

24  26 

23  20 

22  17 

21  17 

20   18 

19  23 

18  30 

17  39 

16  49 

16  01 

20 

30 

29  [4 

27  58 

26  46 

25  36 

24  28 

23  24 

22   22 

21  22 

20  24 

19  30 

1836 

17  44 

30 

40 

31  29 

30  10 

28  54 

27  42 

26  31 

25  23 

24    17 

23  14 

22  13 

21  13 

20  17 

19  21 

40 

50 

33  30 

32  09 

30  52 

29  36 

28  23 

27  13 

26  04 

24  57 

23  53 

22  51 

21  51 

20  52 

50 

2           00 

35  20 

33  58 

32  39 

31  22 

30  06 

28  54 

27  43 

26  35 

25  28 

24  23 

23  20 

22  18 

2           00 

lO 

3658 

35  35 

34  15 

32  57 

31  40 

30  26 

29  14 

28  03 

26  54 

25  48 

24  42 

23  39 

10 

20 

3826 

37  03 

35  42 

34  23 

33  06 

31  50 

30  37 

29  25 

28  15 

27  06 

25  59 

24  53 

SO 

30 

39  44 

38  21 

37  01 

35  41 

34  23 

33  07 

31  52 

30  39 

29  28 

28  19 

27  10 

26  02 

30 

40 

40  52 

39  30 

38  10 

36  51 

35  32 

34  16 

33  01 

31  47 

30  35 

29  24 

28  15 

27  06 

40 

60 

41  52 

4031 

39  " 

37  52 

36  34 

35  18 

34  03 

3249 

31  36 

30  24 

29  13 

28  04 

50 

3           00 

42  45 

41  24 

40  05 

38  46 

37  ^ 

36  13 

3458 

33  44 

32  30 

31  18 

30  08 

2857 

3           00 

10 

43  31 

42  II 

40  52 

39  35 

38  18 

37  02 

35  47 

34  32 

33  19 

32  07 

30  55 

29  45 

10 

20 

44  10 

42  51 

41  34 

40  17 

39  00 

37  45 

36  30 

35  16 

34  02 

32  50 

31  38 

30  27 

20 

30 

4442 

43  24 

42  08 

40  52 

39  36 

38  22 

37  07 

35  54 

34  41 

33  29 

32  17 

31  06 

30 

40 

45  09 

43  53 

4238 

41  23 

40  08 

3854 

37  40 

36  27 

35  14 

34  02 

32  51 

31  40 

40 

60 

45  31 

44  16 

43  02 

41  47 

40  33 

39  20 

38  07 

36  55 

35  43 

34  31 

33  20 

32  09 

50 

4           00 

4548 

44  33 

43  20 

42  C7 

40  54 

39  42 

38  30 

37  18 

36  07 

34  55 

33  44 

32  34 

4           00 

10 

45  59 

44  47 

43  35 

42  23 

41  II 

40  00 

3849 

37  37 

36  26 

35  16 

34  05 

32  55 

10 

20 

4607 

44  56 

43  45 

42  34 

41  23 

40  13 

39  02 

37  52 

3641 

35  32 

34  22 

33  12 

20 

30 

46  12 

45  01 

43  51 

42  41 

41  31 

40  22 

39  12 

3803 

36  53 

35  44 

34  35 

33  26 

30 

40 

46  II 

45  02 

43  53 

42  44 

41  36 

40  27 

39  18 

3809 

37  "^t 

3552 

34  43 

33  35 

40 

50 

46  07 

44  59 

43  52 

42  44 

41  36 

40  29 

39  21 

38  13 

37  05 

35  57 

34  49 

33  42 

50 

5           00 

46  00 

44  54 

43  47 

42  40 

41  33 

40  26 

3920 

38  12 

37  05 

35  59 

34  51 

33  45 

5           00 

10 

45  50 

44  43 

4338 

42  32 

41.  27 

40  21 

39  15 

38  09 

37  02 

35  56 

34  50 

33  45 

10 

20 

45  36 

44  31 

43  26 

42  22 

41  17 

40  12 

39  07 

38  02 

3f  57 

35  51 

34  45 

33  40 

20 

30 

45  19 

44  15 

43  " 

42  08 

41  04 

40  00 

3856 

37  52 

3648 

35  44 

34  39 

33  34 

30 

40 

4458 

43  56 

42  54 

41  51 

40  47 

39  45 

38  42 

37  39 

36  35 

35  32 

34  29 

33  25 

40 

50 

44  36 

43  34 

42  33 

41  31 

40  29 

39  27 

38  25 

37  22 

36  20 

35  18 

34  15 

33  13 

50 

6           00 

44  10 

43  09 

42  09 

41  08 

40  07 

39  06 

3805 

37  03 

36  02 

35  01 

33  59 

32  57 

6           00 

10 

43  40 

42  41 

41  42 

40  42 

39  42 

38  43 

37  42 

36  42 

35  41 

34  41 

33  39 

3238 

10 

20 

43  09 

42  II 

41  13 

40  13 

39  14 

38  16 

37  17 

36  17 

35  18 

34  18 

33  18 

32  18 

20 

30 

42  36 

41  38 

40  40 

3942 

38  44 

37  47 

36  49 

35  50 

34  52 

33  53 

32  54 

31  55 

30 

40 

41  59 

41  01 

40  05 

3908 

38  II 

37  15 

36  18 

35  20 

34  22 

33  25 

32  27 

31  29 

40 

50 

41  18 

40  23 

39  27 

3832 

37  35 

36  40 

35  44 

34  48 

33  51 

32  54 

31  58 

31  01 

60 

7           00 

40  36 

39  41 

38  48 

37  53 

3657 

36  03 

35  oS 

34  12 

33  17 

32  21 

31  25 

30  30 

7           00 

10 

39  51 

3858 

3804 

37  10 

36  16 

35  23 

34  29 

33  34 

32  40 

31  45 

30  51 

29  56 

10 

20 

39  04 

38  11 

37  19 

36  26 

35  33 

34  41 

33  47 

32  55 

32  01 

31  07 

30  15 

29  21 

20 

30 

38  13 

37  21 

36  30 

35  39 

34  47 

33  56 

33  04 

32  II 

31  19 

30  27 

29  35 

28  43 

30 

40 

37  21 

36  30 

35  40 

34  49 

3358 

3308 

32  17 

31  27 

30  35 

29  44 

2853 

28  03 

40 

60 

36  24 

35  35 

3446 

33  57 

33  07 

32  18 

31  28 

30  39 

29  49 

29  00 

28  10 

27  20 

50 

8           00 

35  26 

34  37 

33  49 

33  01 

32  13 

31  25 

30  37 

29  49 

29  00 

28  12 

27  23 

26  35 

8           00 

10 

34  25 

3338 

32  51 

32  04 

31  17 

30  31 

2856 

28  09 

27  22 

26  35 

25  48 

10 

20 

33  21 

32  35 

31  50 

31  03 

30  iS 

29  33 

Its 

28  01 

27  16 

26  30 

25  44 

25  00 

20 

30 

32  14 

31  30 

30  46 

30  01 

29  16 

28  33 

27  49 

27  04 

26  20 

25  36 

24  52 

24  08 

30 

40 

31  05 

30  22 

29  39 

2856 

28  13 

27  30 

26  48 

26  05 

25  22 

24  40 

23  57 

23  14 

40 

60 

29  54 

29  II 

28  30 

2748 

27  07 

26  26 

2545 

25  04 

24  22 

23  41 

23  00 

22  20 

50 

9          00 

28  39 

27  58 

27  18 

2638 

25  58 

25  18 

24  38 

23  59 

23  20 

22  41 

22  01 

21   22 

9          00 

10 

27  21 

26  42 

26  04 

25  26 

24  47 

24  09 

23  31 

22  53 

22  16 

21  38 

21  00 

20  23 

10 

20 

26  01 

25  24 

24  47 

24  10 

23  33 

22  58 

22  22 

21  45 

21  09 

20  34 

19  57 

19  22 

20 

30 

24  38 

24  03 

23  28 

22  52 

22  18 

21  44 

21   10 

20  35 

20  00 

19  26 

18  52 

18   18 

30 

40 

23  13 

22  40 

22  o7 

21  34 

21  00 

20  27 

19  55 

19  22 

18  50 

18  18 

17  45 

17    13 

40 

50 

21  45 

21  14 

20  43 

20  12 

19  40 

19  10 

1839 

18  09 

17  37 

17  07 

16  38 

16  08 

50 

10          00 

20  15 

19  46 

19  17 

18  48 

18  18 

.   17  50 

17  21 

16  53 

16  24 

15  55 

15  27 

14  59 

10       00 

10 

18  43 

18  16 

17  49 

17  22 

16  54 

16  28 

16  00 

15  35 

15  08 

1443 

14  16 

13  50 

10 

20 

17  09 

16  44 

16  18 

15  53 

15  28 

15  04 

14  40 

14  15 

13  51 

13  27 

13  03 

12  40 

20 

30 

15  32 

15  09 

14  47 

14  23 

14  01 

13  39 

13  16 

12  54 

12  32 

12  10 

II  49 

n  27 

30 

40 

13  54 

13  33 

13  13 

12  52 

12  32 

12  12 

II  51 

II  32 

II  12 

10  50 

10  33 

10  13 

40 

50 

12  14 

"  55 

II  37 

II  19 

II  02 

10  44 

10  26 

10  08 

9  51 

9  34 

9  17 

859 

50 

^  11           00 

10  32 

10  16 

10  01 

9  45 

9  29 

9  14 

859 

8  44 

8  29 

814 

7  59 

,    7  44 

11          00 

10 

849 

835 

8  22 

8  09 

756 

7  43 

7  31 

7  18 

7  05 

653 

6  40 

6  28 

10 

20 

7  04 

6  54 

643 

632 

623 

6  12 

6  "02 

5  52 

5  41 

5  31 

5  22 

5  12 

20 

30 

5  19 

5  II 

5  02 

4  55 

4  47 

4  39 

4  32 

4  24 

4  16 

4  09 

4  01 

3  54 

30 

40 

3  34 

328 

3  22 

3  17 

3  II 

3  07 

3  01 

2  57 

2  52 

2  46 

2  41 

236 

40 

50 

I  47 

I  44 

I  42 

I  39 

I  36 

I  34 

I  31 

I  29 

I  26 

I  23 

I  21 

I  19 

50 

12          00 

0  CX) 

0  00 

0  CX) 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12          00 

In  North  latitude,  whe«  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and  when  the 
star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and  when  the  star 
is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

WTien  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the  supplement 
of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


96 


AZIMUTH  OR  TRUE  BEARING. 


latitude:  22°. 


DECWNATION— SAME  NAME  AS-I<ATITUDE. 


latitude:  22°. 


Hour  Angle. 


Ii. 

O 


lO 


11 


12 


m. 
OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


60^ 

0   ' 

O  OO 

2  02 

4  03 

6  02 

8  OO 

9  54 

II  45 

1332 

15  16 

16  55 

18  27 

19  56 

21  19 

22  37 

23  5° 

24  57 
26  00 

2656 

27  48 

28  35 

29  18 

29  57 

30  30 

31  00 

31  24 
31  46 

32  03 

32  17 
32  28 

32  34 

3238 
32  38 
32  36 

32  30 

32  21 

32  10 

31  38 
31  18 
30  56 

30  31 

30  04 

29  34 

29  02 

28  28 

27  50 

27  12 
26  31 

25  47 

25  01 

24  14 

23  24 

22  32 
21  38 

20  42 

19  45 
18  46 

17  44 
16  42 

15  37 

14  31 

13  25 

12  15 
II  06 

9  55 
8  43 

6  16 

5  01 

3  47 

231 
I  16 

0  00 

61° 


0  00 

1  55 
3  51 
5  44 
7  36 
9  24 

11  10 

12  52 
14  31 

16  OS 

17  35 

19  00 

20  21 

21  36 

22  47 

23  53 

24  53 

25  49 

26  40 

27  27 

28  09 
2847 

29  20 

29  49 

30  15 
30  36 

30  53 

31  08 
31  19 
31  26 

31  30 
31  32 
31  30 
31  25 
31  16 
31  06 

30  53 
30  36 
30  17 
29  56 
29  32 
29  06 

28  37 
28  06 
27  33 
26  58 
26  20 
25  40 

24  57 
24  14 
23  27 
22  39 
21  49 
20  57 


62° 


20  03 

19  07 

18  09 

17  10 

16  09 

15  07 

14  03 

12  58 

II  51 

10  44 

9  35 

825 

7  15 

6  03 

4  52 

3  40 

2  26 

I  14 

0  00 

0  00 

1  50 

338 

5  26 

7  12 

8  55 

10  37 

12  14 

13  49 

15  18 

16  45 

18  07 

19  25 

20  38 

21  46 

22  50 

23  48 

24  43 

25  33 

26  19 

27  01 

27  38 

28  II 

28  41 

29  05 
29  27 
29  45 

29  59 

30  II 
30  19 

30  24 
30  25 
30  24 
30  20 
30  12 
30  02 

29  50 
29  34 
29  17 
28  57 
28  34 
28  09 

27  41 
27  II 
26  39 
26  05 
25  28 
24  50 

24  09 
23  27 
22  42 
21  55 
21  06 
20  16 

19  23. 
18  29 

17  34 
16  36 
15  38 
1438 

13  35 
12  32 

11  28 
10  23 

9  16 
8  09 

7  00 
5  52 
4  41 
3  31 

2  22 

I  10 


63° 


0  00 

1  44 

3  27 

5  09 

6  49 
8  28 

10  04 

11  37 

13  07 

14  33 

15  56 

17  14 

18  30 

19  40 

20  45 

21  ^ 

22  45 
2338 

24  27 

25  12 

25  53 

26  30 

27  02 
27  32 

27  57 

28  19 
28  37 

28  51 

29  03 
29  12 

29  17 
29  19 
29  18 
29  15 
29  08 

2859 

28  48 
28  33 
28  17 
27  57 
27  35 
27  II 

26  45 
26  16 
25  45 
25  12 
24  37 
24  00 

23  20 
22  40 
21  56 
21  II 
20  24 
19  35 

18  44 
17  52 

16  58 
16  02 
15  06 
14  07 

13  08 

12  06 
II  04 
10  01 

857 

7  52 

6  46 
5  39 

4  32 
3  25 

2  17 
I  08 


64° 


0  00 

1  38 

3  16 

4  53 

6  28 

8  02 

9  32 

11  01 

12  27 

13  50 

15  09 

16  24 

17  35 

18  44 

19  47 

20  47 

21  43 

22  35 

23  22 

24  07 

24  46 

25  22 

25  55 

26  24 

26  49 

27  II 
27  ^9 
27  44 

27  56 

28  05 

28  10 
28  13 
28  13 
28  09 
28  04 
27  55 

27  45 
27  31 
27  16 
2658 
26  36 
26  14 

25  49 
25  20 
24  51 
24  19 
23  46 
23  09 

22  31 
21  52 
21  10 
20  27 
19  41 
18  54 

18  05 

17  15 
16  22 
15  29 

14  34 
13  37 

12  40 
II  41 
10  41 
9  40 

8  38 

7  35 

6  32 

5  28 
4  23 
3  18 

2  II 
I  06 
o  00 


65° 


1  33 

3  05 

4  36 

6  07 

7  36 

9  02 

10  27 

11  48 

13  08 

14  23 

15  34 

16  43 

17  49 

18  50 

19  48 

20  42 

21  32 

22  19 

23  01 

23  40 

24  16 

24  47 

25  17 

25  41 

26  02 
26  21 
26  36 
26  48 

26  58 

27  03 
27  07 
27  07 
27  04 
27  00 
26  52 

26  42 
26  29 
26  14 
25  57 
2538 
25  16 

24  52 
24  25 
23  56 
23  26 
22  53 
22  19 

21  42 
21  04 
20  24 
19  41 
18  59 
18  13 

17  26 
16  37 
15  47 
14  55 
14  02 
13  07 

12  12 
II  15 
10  18 

9  19 

8  19 

7  18 

6  17 

5  15 
4  13 
3  10 

2  07 
I  03 
o  00 


66° 


2  56 

4  21 

5  47 

7  12 

833 
9  53 

11  10 

12  26 

13  38 

14  47 

15  53 

16  55 

17  55 

18  50 

19  42 

20  30 

21  16 

21  57 

22  35 

23  10 

23  41 

24  09 

24  34 

24  55 

25  13 
25  28 
25  41 
25  50 

25  56 

2ft  01 

26  02 
26  00 

25  56 
25  48 

25  40 
25  27 
25  13 

24  57 
24  38 

24  17 

23  54 
23  29 
23  02 
22  33 
22  02 
21  28 

20  53 
20  16 
1938 
1857 
18  15 
17  32 

16  46 
15  59 
15  II 
14  22 
13  30 
12  37 

II  44 
10  49 
9  54 
857 

8  00 
7  02 

6  03 
5  03 
4  03 

3  03 
2  02 
I  01 
o  00 


67° 


0  00 

1  23 

2  45 

4  07 

5  28 

6  47 

8  05 

9  20 

10  35 

11  46 

12  54 

14  00 

15  02 

16  03 

16  59 

17  52 
1843 

19  30 

20  13 

20  53 

21  31 

22  04 

22  35 

23  02 

23  27 

23  48 

24  06 
24  21 
24  33 
24  43 

24  49 
24  54 
24  55 
24  55 
24  50 
24  45 

24  36 
24  25 
24  12 
23  56 
23  39 
23  19 

22  56 
22  33 
22  07 
21  39 
21  09 
20  37 

20  03 
19  28 

18  51 
18  12 

17  32 
16  50 

16  06 
15  21 
14  35 

13  47 
12  58 
12  08 

II  16 
10  23 
9  30 
835 

7  41 
6  45 

5  49 
4  51 

3  54 
2  55 
I  57 
o  59 
o  00 


68° 


0  00 

1  i8 

2  36 

3  53 

5  09 

6  24 

7  37 

8  49 

9  59 

11  07 

12  12 

13  14 

14  14 

15  12 

16  05 

16  57 

17  45 

18  30 

19  12 

19  51 

20  27 

21  00 
21  30 

21  57 

22  20 
22  41 

22  59 

23  15 
23  26 
23  37 

23  43 
23  48 
23  50 
23  49 
23  46 
23  41 

23  33 
23  22 
23  II 
22  56 
22  38 
22  20 

21  59 
21  37 
21  12 
20  45 
20  16 
19  46 

19  13 
18  40 
18  04 
17  27 
16  48 
16  08 

15  27 
14  43 
13  59 
13  13 
12  26 
II  38 

10  49 
958 
9  07 
8  15 
7  22 
6  28 

5  33 

4  39 
3  44 
2  49 
I  52 
o  56 
o  00 


69° 


70° 


0  00 

1  14  \ 

2  26  ! 

3  39  ; 

4  51  ! 

6  02  [ 

7  II 

8  18  I 

9  25 

10  28 

11  31 

12  30 

13  27 

14  22 

15  13 

16  03 

16  49 

17  31 

i«  13 

18  50 

19  25 

19  56 

20  25 

20  52 

21  14 
21  35 

21  53 

22  09 
22  20 
22  31 

22  37 
22  42 
22  44 
22  44 
22  41 
22  37 

22  30 
22  20 
22  09 
21  55 
21  39 
21  22 

21  02 
20  41 
20  17 
19  51 
19  24 
18  55 

18  24 
17  52 
17  18 
16  43 
16  05 
15  27 

14  47 
14  06 
13  23 
12  39 
II  54 
II  08 

10  21 

9  33 

G  44 

7  54 
7  02 
6  12 

5  19 
4  27 
3  34 
2  41 

I  48 

o  53 
o  00 


0  00 

1  09 

2  j8 

3  26 

4  33 

5  40 

6  45 

7  49 

8  52 

9  52 

10  51 

11  47 

12  41 

13  32 

14  21 

15  08 

15  52 

16  34 

17  13 

17  49 

18  22 

18  53 

19  21 

19  46 

20  09 
20  29 

20  46 

21  02 
21  14 
21  23 

21  30 
21  35 
21  38 
21  38 
21  37 
21  33 


21  17 
21  06 
20  52 
20  39 
20  22 

20  03 

19  43 
19  21 
18  57 
18  31 
18  03 

17  34 
17  04 
16  31 
15  57 
15  22 
14  45 

14  06 
13  28 
12  46 
12  05 
II  22 
10  38 

9  52 

9  07 
8  19 
7  32 
6  43 
5  54 

5  05 
4  15 
3  24 
2  33 
I  42 
o  51 
o  00 


Hour  Angle. 


b. 

O 


10 


11 


12 


ni. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  froro  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


97 


AZIMUTH    OR    TRUE    BEARING. 


IaATIVVWE  23°. 


DECLINATION— SAME  NAME  AS— LATITUDE. 


I^TITUDE  23"". 


Hour  Angle. 


24° 


li. 

O 


lO 


11 


12 


ni. 
OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
30 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


O  OO 

65  57 

76  42 

80  14 

81  48 
83  32 

82  52 
82  57 
82  54 
82  44 
82  30 
82  12 

81  52 
81  30 
81  06 
80  41 
80  15 
79  47 

79  18 
78  49 
78  18 

77  46 
77  13 
76  40 

76  05 
75  30 
74  54 
74  16 
73  37 
72  57 

72  16 
71  34 
70  51 
70  06 
69  21 
6833 

^7  43 

66  52 

65  59 
65  04 
64  08 
63  09 

62  08 
61  04 
59  57 
58  48 
57  36 
56  22 

55  03 
53  41 
52  16 

50  47 
49  13 
47  35 

45  51 
44  04 

42  II 
40  14 
38  10 
36  00 

33  45 
31  24 
28  56 
26  25 

23  45 
21  01 

18  12 
15  18 
12  20 
9  18 
6  13 

3  07 
o  00 


25° 


26° 


27°    28°    29° 


O  CO 

48 17 

65  21 

72  13 

75  39 

77  33 

78  40 

79  20 
79  43 
79  53 
79  55 
79  51 

79  42 
79  29 
79  13 
7855 
78  35 
78  12 

7748 
77  22 

76  54 
76  26 
75  57 
75  25 

74  53 
74  20 

73  45 
73  10 
72  32 
71  54 

71  14 
70  33 
69  51 
69  07 
68  21 
67  35 

6646 

65  55 
65  04 
64  09 

63  13 
62  14 

61  14 
60  11 
59  05 
57  56 
56  44 
55  30 

54  12 
52  51 
51  27 
49  57 
48  23 
46  46 

45  04 
43  16 
41  25 
39  29 
37  26 
35  18 

33  04 
3045 
28  20 

25  51 
23  14 
20  33 

17  47 
14  57 
12  02 

9  05 
6  05 
3  02 
o  00 


o  00 
36  40 

55  35 

64  45 

69  43 

72  41 

74  32 

75  46 

76  33 

77  03 
77  21 
77  30 

77  32 
77  28 
77  20 
77  08 
76  54 
76  36 

76  17 
75  55 
75  31 
75  06 
74  39 
74  " 

73  41 
73  09 
72  37 
72  03 
71  27 

70  50 

70  12 
69  32 
6851 
68  08 
67  23 
6638 

65  49 
64  59 
64  08 

63  14 
62  19 
61  21 

60  20 
59  18 
58  12 
57  04 
55  53 
54  39 

53  21 
52  01 
50  36 
49  07 
47  35 
45  58 

44  17 
42  31 
40  40 
38  44 
36  43 
34  37 

32  25 
30  08 
27  46 
25  17 
22  44 
20  07 

17  24 
14  37 
II  46 
852 
5  57 
2  59 
o  00 


o  00 
29  01 

47  32 

57  59 

64  08 

67  59 

70  31 

72  14 

73  25 

74  15 

74  48 

75  09 

75  21 
75  26 
75  26 
75  32 
75  13 
75  01 

74  45 
74  28 
74  08 
73  45 
73  21 
72  55 

72  28 

71  58 
71  27 
70  55 
70  21 
69  46 

69  09 

68  30  I 
67  50 
67  08 
66  25 

65  40  I 

64  53  I 
64  03  I 

63  13 
62  19 
61  24 
60  27 

59  27 

58  25 
57  19 
56  12 
55  02 
5348 

52  31 
51  10 
49  46 

48  18 
46  46 
45  10 

43  29 
41  45  I 
39  55 
38  00 
36  00 
33  56 

31  46 
29  31 
27  I] 
24  46 
22  15 
19  40 

17  00 

14  17 
II  29 
8  40 
5  48 
2  54 
o  00 


o  00 

23  46 

41  01 

51  59 
5855 

63  29 

6635 

68  46 

70  19 

71  27 

72  15 

72  49 

73  12 
73  25 
73  33 
73  35 
73  31 
73  24 

73  14 
73  00 
72  43 
72  24 

72  03 
71  40 

71  15 
70  48 
70  19 

69  48 
69  16 
68  42 

68  06 
67  28 
66  49 
66  09 
65  26 

64  42 

63  55 
63  07 
62  17 
61  24 
60  30 
59  33 

58  34 
57  31 
56  27 
55  20 
54  10 

52  56 

51  40 
50  20 
48  57 
.  47  29 
45  59 
44  23 

42  43 
40  59 
39  II 
37  18 
35  19 
33  16 

31  08 

28  54 
26  37 

24  14 
21  46 

19  13 

16  37 
1358 
II  14 
8  28 
5  40 
2  50 
o  00 


o  00 

2Q  00 

35  46 
46  44 

54  10 

59  15 

62  49 

65  25 

67  18 

68  42 

69  44 

70  29 

71  03 
71  25 

71  39 
71  48 
71  50 
71  48 

71  42 
71  32 
71  19 
71  03 
7044 
7b  25 

70  01 
69  36 
6g  10 
68  40 
68  10 
6738 

67  03 

66  27 

65  49 
65  09 
64  27 

63  44 

6258 
62  II 
61  21 

60  30 
59  35 
5839 

57  41 
5638 

55  35 
54  28 
53  18 
52  06 

50  49 
49  30 

48  08 
46  41 
45  II 
43  36 

41  57 
40  14 
38  27 

36  35 
3438 
32  37 

30  30 
28  19 
26  04 

23  43 
21  18 
18  48 

16  16 

13  39 
10  58 
8  17 
5  32 
2  47 
o  00 


30° 


o  00 
17  10 

31  30 

42  10 

49  50 

55  17 

59  14 

62  10 

64  21 

65  59 

67  14 

68  10 

6853 

69  25 

69  46 

70  00 
70  09 
70  II 

70  10 
70  03 

69  55 
69  41 
69  26 
69  08 

68  48 
68  24 
67  59 
67  32 
67  03 

66  32 

65  59 
65  24 
64  47 
64  09 

63  29 
62  45 

62  01 
61  14 

60  25 

59  35 
58  40 
57  45 

56  47 
55  46 
54  43 
53  36 
52  27 
51  16 

50  00 
48  41 
47  19 
45  53 


31° 


32° 


44  24 

42  50 

41  12 

39  30 

37  44 

35  53 

33  58 

3158 

29  54 

27  45 

25  31 

23  14 

20  51 

18  24 

15  54 

13  20 

10  44 

8  04 

5  25 

2  43 

0  00 

o  00 

15  01 

28  OI 

38 13 

45  54 

51  36 

55  50 

59  02 

61  28 

63  21 

64  47 

65  54 

6646 
67  25 

67  53  , 

68  14  t 
68  28  1 
6835 

68  38 

6836  ! 

68  29  i 
68  20 
68  07  ] 
67  52  j 

67  34 
67  13 

66  50 
66  24 
65  57 
65  27 

64  55 
64  22 
63  46 
63  09 

62  29 
61  47 

61  03 

60  17 
59  29 
5839 
57  46 

56  51 

55  54 
54  53 
53  51 

52  45 
51  36 
50  25 

49  10 

47  52 

46  30 
45  05 
43  37 
42  04 

40  27 
3846 
37  01 
35  12 
33  18 
31  20 

29  17 
27  10 
2458 
22  43 
20  24 
18  00 

15  33 
13  03 
10  29 

7  54 
5  17 
2  39 
o  00 


o  00 

13  17 

25  07 
3448 
42  22 

48  II 

52  37 

56  02 

58  42 

60  46 

62  23 

63  40 

64  40 

65  26 

66  02 
66  28 
6647 

66  58 

67  06 
67  07 
67  05 
6658 
66  48 
6636 

66  19 
66  00 
65  40 
65  16 
64  50 
64  22 

63  51 
63  20 
62  45 
62  08 

61  29 
60  49 

60  06 

59  21 
5833 

57  44 
56  51 
55  57 

55  00 
54  00 
52  58 
51  53 
50  45 

49  35 

48  21 
47  03 
45  43 
44  18 
42  50 
41  18 

39  42 
3803 
36  19 
34  31 
32  39 
3042 

28  42 

26  37 
24  28 
22  15 
19  57 
17  36 

15  12 
12  45 
10  15 
7  43 
5  10 
2  35 
o  00 


33° 


34° 


o  00 

11  53 

22  41 

31  49 

39  II 

45  01 

49  34 

53  II 

56  00 

58  15 

60  02 

61  27 

62  35 

63  28 

64  10 

64  42 

65  05 
65  22 

65  33 
6538 
65  39 
6536 
65  29 
65  18 

65  05 
64  48 
64  28 
64  07 
63  42 
63  16 

62  47 
62  16 
61  42 
61  08 
60  29 

59  50 

59  08 
58  23 

57  37 
5648 

55  57 
55  03 

54  07 
5308 
52  06 
51  01 
49  54 
48  44 

47  30 

46  14 
44  54  , 
43  31 
42  04 

40  33 

38  59 
37  20 
35  38 
33  51 

32  00 
3005 

28  06 
26  03  j 

23  57 
21  45 
19  31 
17  13 

14  51 

12  28 
10  01 

7  33 
5  03 
2  32 
o  00 


o  00 
1043 

20  37 
29  12 
36  20 
42  07 

46  44 

50  28 

53  26 

55  49 

57  44 

59  17 

60  32 

61  32 

62  19 

62  56 

63  25 

63  46 

64  01 
64  10 
64  14 
64  14 
64  09 
64  01 

63  50 
63  36 
63  18 
6258 
6236 
62  10 

61  43 
61  13 
60  41 
60  07 
59  30 

58  51 

58  10 
57  26 

56  41 
55  52 
55  02 

54  09 

53  13 

52  15 

51  14 
50  II 

49  04 

47  55 

46  42 
45  25 
44  07 
42  44 
41  18 
39  48 

38  15 
36  37 
34  57 
33  II' 
31  22 
29  29 

27  32 
25  30 
23  26 

21  17 
19  06 
16  50 

14  32 
12  II 
948 
7  22 

456 
2  28 
o  00 


35°       Hour  Angle. 


o  00 

9  44 
18  51 
26  54 

33  46 

39  27 

44  06 

47  53 

50  57 

53  28 

55  30 
57  10 

5831 

59  37 

60  30 

61  12 

61  45 

62  11 

62  29 
62  41 
62  49 
62  52 
62  50 
62  44 

62  35 
62  23 
62  07 
61  49 
61  28 
61  05 

6038 
60  10 
59  39 
59  05 
5830 
57  52 

57  12 

56  29 
55  44 

54  57 
54  07 
53  14 

52  20 

51  23 
50  22 
49  19 

48  14 
47  04 

45  52 
44  38 
43  19 
41  57 

40  33 
39  03 

37  31 
35  55 

34  16 
32  32 
3044 
28  52 

2658 

24  59 
22  56 
20  50 
18  41 
16  28 

14  13 
"  55 

9  35 
7  12 
4  49 
2  25 
o  00 


O 


10 


11 


12 


m. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
SO 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
60 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latltnde,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  aie  reckoned  from  North  to  Easf  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East-  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


41224°— 16- 


98 


AZIMUTH  OR  TRUE  BEARING. 


I.ATITIJDE  23°. 

DECUNATION- 

-SAME  name;  as— lyATITUDE;. 

liATITUDE  a3°. 

Hour 

Angle. 

36° 

37° 

38° 

3»° 

40° 

41° 

4a° 

43° 

440 

45° 

46° 

47° 

Hour  Angle. 

Ii. 

III. 

0  ■/ 

0  / 

0  / 

0  1 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

li.    ni. 

0 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0   00 

lO 

854 

8  II 

7  34 

7  00 

631 

6  05 

5  41 

5  20 

5  00 

4  42 

4  26 

4  II 

10 

ao 

17  19 

15  58 
23  05 

.14  48 

13  45 

12  49 

II  59 

'3  ^3 

10  31 

9  54 

9  20 

8  47 

8  18 

ao 

30 

24  52 

21  29 

20  02 

18  44 

17  33 

16  28 

15  29 

14  35 

13  46 

12  59 

12  17 

30 

40 

31  27 

29  21 

27  27 

25  43 

24  08 

22  42 

21  21 

20  08 

19  00 

17  58 

16  59 

16  05 

40 

50 

37  00 

34  44 

32  39 

30  44 

28  58 

27  20 

25  49 

24  25 

23  06 

21  53 

20  44 

19  40 

50 

1 

OO 

41  37 

39  17 

3708 

35  07 

33  14 

31  29 

29  50 

28  17 

26  50 

25  29 

24  12 

23  00 

1    00 

lO 

45  26 

4308 

40  57 

3853 
42  08 

36  57 

35  08 

33  23 

31  46 

30  14 

2845 

27  23 

26  05 

10 

20 

4835 

46  19 

44  II 

40  10 

38  18 

36  32 

34  51 

33  15 

31  43 

30  16 

28  53 

ao 

30 

51  II 

49  00 

46  54- 

44  53 

42  56 

41  04 

39  17 

37  34 

35  57 

34  22 

32  53 

31  26 

30 

40 

53  20 

51  14 

49  10 

.47  12 

45  18 

43  27 

41 41 

3958 

38  19 

36  44 

35  12 

33  44 

40 

50 

55  05 

53  04 

51  06 

49  II 

47  19 

45  30 

43  45 

42  04 

40  25 

38  49 

37  16 

35  47 

50 

a 

OO 

56  33 

54  37 

52  42 

50  51 

49  02 

47  17 

45  34 

43  52 

42  15 

40  40 

39  07 

37  37 

a   00 

10 

57  44 

55  53 

54  03 

52  16 

50  31 

48  47 

47  06 

45  28 

43  51 

42  16 

40  44 

39  15 

10 

ao 

58  42 

5656 

55  10 

53  26 

51  45 

50  04 

48  25 

46  49 

45  14 

43  41 

42  10 

40  42 

ao 

30 

59  29 

57  47 

56  05 

54  25 

52  47 

51  10 

49  33 

47  59 

46  27 

44  55 

43  25 

41  57 

30 

40 

60  06 

58  29 

56  51 

55  15 

53  39 

52  05 

50  31 

48  59 

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1 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  i«  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  requited  true  bearitiP'. 


99 


AZIMUTH  OR  TRUE  BEARING. 


I^ATITIJDE  33°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  23°. 

Hour  Angle. 

48° 

49° 

50° 

Sl° 

S2° 

S3° 

54° 

SS° 

S6° 

S7° 

S8° 

S9° 

Hour  Angle. 

b. 

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3  20 

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10 

20 

7  51 

7  24 

7  01 

6  39 

6  19 

558 

5  40 

5  23 

5  06 

4  51 

4  36 
6  52 

4  21 

20 

30 

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10  25 

9  52 

9  22 

8  53 

8  27 

8  01 

7  37 

7  14 

631 

30 

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15  14 

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10  35 

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19  52 

19  20 

18  48 

18  16 

17  45 

17  13 

40 

SO 

21  40 

21  09 

20  39 

20  07 

19  37 

19  06 

1836 

18  06 

17  36 

17  06 

16  35 

16  06 

SO 

lO 

OO 

20  II 

19  41 

19  12 

18  43 

18  15 

17  46 

17  18 

16  49 

16  22 

15  54 

15  26 

14  58 

10     00 

lO 

1839 

18  II 

17  44 

17  18 

16  51 

16  24 

1558 

15  31 

X5  06 

14  40 

14  14 

13  49 

10 

20 

17  05 

16  39 

16  14 

15  49 

15  25 

15  01 

14  37 

14  13 

13  49 

13  25 

13  01 

12  38 

20 

30 

15  27 

■  15  05 

14  43 

14  20 

13  57 

13  36 

13  14 

1252 

12  30 

12  09 

II  47 

II  26 

30 

40 

13  50 

13  30 

13  09 

12  49 

12  29 

12  09 

II  49 

II  29 

II  10 

10  51 

10  32 

10  12 

40 

SO 

12  09 

II  52 

n  33 

II  16 

10  58 

10  41 

10  23 

10  06 

9  49 

9  32 

9  15 

8  59 

SO 

11 

OO 

ID  29 

10  13 

958- 

9  42 

9  26 

9  12 

857 

8  42 

827 

8  12 

758 

7  43 

11     00 

lO 

8  46 

832 

8  20 

807 

7  54 

741 

728 

7  17 

7  05 

651 

6  39 

6  27 

10 

20 

7  02 

6  51 

6  41 

631 

6  20 

6  10 

6  00 

5  50 

5  40 

5  30 

5  20 

5  II 

20 

30 

5  17 

5  09 

5  02 

4  54 

4  46 

4  38 

4  31 

4  23 

4  16 

4  08 

4  01 

3  54 

30 

40 

3  32 

326 

3  22 

3  17 

3  II 

306 

3  01 

256 

2  51 

2  46 

2  41/ 

236 

40 

SO 

I  46 

I  43 

I  41 

I  38 

I  35 

I  33 

I  30 

I  28 

I  25 

I  23 

I  20 

I  18 

SO 

12 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  i.s  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  end 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  f rojn  South  to  East;  ativ 
when  the  .star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  .supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


100 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  23". 

DECLINATION— SAME  NAME  AS- 

-LATITUDE. 

liATITUDE  23°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

66° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b. 

in. 

O  1 

0  / 

0  1 

0  ' 

0  / 

0  1 

0  / 

0  / 

0  ' 

0  / 

0  / 

b.    m. 

0 

OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

2  05 

I  58 

I  52 

I  46 

I  40 

I  35 

I  29 

I  25 

I  19 

I  14 

I  10 

10 

20 

408 

3  56 

3  44 

3  31 

3  20 

3  09 

258 

2  49 

2  38 

2  29 

2  20 

20 

30 

6  II 

5  52 

5  33 

5  16 

4  59 

4  43 

4  26 

4  II 

3  57 

3  43 

3  29 

30 

40 

8  lo 

7  45 

7  21 

658 

635 

6  15 

5  54 

5  34 

5  14 

4  55 

4  37 

40 

50 

10  07 

9  36 

9  07 

8  38 

8  II 

7  45 

7  19 

655 

6  31 

6  07 

5  45 

50 

1 

OO 

12  01 

II  25 

10  50 

10  16 

9  43 

9  12 

8  42 

8  13 

7  45 

7  18 

651 

1     00 

10 

13  50 

13  09 

12  28 

II  51 

11  14 

10  38 

10  03 

9  30 

8  58 

8  26 

756 

10 

20 

15  35 

14  49 

14  C5 

13  21 

12  41 

12  02 

II  22 

10  45 

10  09 

9  33 

9  00 

20 

30 

17  14 

16  25 

15  36 

14  49 

14  05 

13  21 

12  39 

"  57 

II  17 

10  39 

10  00 

30 

40 

18  50 

17  56 

17  03 

16  14 

15  25 

1438 

13  51 

13  07 

12  23 

II  41 

II  00 

40 

50 

20  19 

19  22 

18  26 

17  33 

16  41 

15  51 

15  01 

14  13 

13  27 

12  41 

11  57 

50 

2 

OO 

21  43 

20  43 

19  45 

iS  48 

17  54 

17  00 

16  07 

15  17 

14  28 

13  38 

12  51 

2    00 

lO 

23  01 

21  59 

20  58 

19  59 

19  02 

18  06 

17.  II 

16  17 

15  25 

14  34 

13  44 

lo 

20 

24  14 

23  10 

22  07 

21  06 

20  06 

19  08 

18  10 

17  14 

16  19 

15  25 

14  33 

20 

30 

25  21 

24  16 

23  II 

22  08 

21  07 

20  07 

19  06 

18  08 

17  12 

16  15 

15  20 

30 

40 

26  24 

25  17 

24  II 

23  05 

22  03 

21  01 

19  59 

18  59 

18  00 

17  01 

16  05 

40 

50 

27  21 

26  13 

25  04 

2358 

22  54 

21  51 

20  47 

19  46 

18  45 

17  45 

16  46 

50 

3 

OO 

28  13 

27  04 

25  55 

24  48 

23  42 

22  37 

21  32 

20  29 

19  27 

18  26 

1726 

3     00 

lO 

29  00 

27  50 

26  41 

25  32 

24  26 

23  19 

22  14 

21  10 

20  06 

19  03 

18  01 

10 

20 

29  42 

283^ 

.  27  22 

26  13 

25  06 

23  59 

22  52 

21  46 

20  42 

1938 

iS  35 

20 

30 

30  19 

29  09 

27  59 

26  49 

25  42 

•  24  34 

23  26 

22  20 

21  15 

20  10 

19  05 

30 

40 

30  53 

29  42 

28  31 

27  22 

26  14 

25  06 

23  57 

22  51 

21  44 

20  38 

19  34 

40 

50 

31  22 

30  TI 

29  00 

27  50 

26  41 

25  54 

24  25 

23  18 

22  12 

21  04 

19  59 

60 

4 

OO 

31  46 

3C  36 

29  25 

28  15 

27  07 

2558 

24  49 

23  41 

22  35 

■21  28 

20  21 

4     00 

lO 

32  06 

30  57 

29  46 

2837 

27  28 

26  19 

25  10 

24  03 

22  56 

21  47 

20  41 

10 

20 

32  23 

31  13 

30  03 

28  54 

27  46 

26  37 

25  28 

24  20 

23  14 

22  05 

20  58 

20 

30 

32  35 

31  27 

30  17 

29  08 

28  00 

26  52 

25  43 

24  35 

23  28 

22  20 

21  13 

30 

40 

32  45 

31  37 

30  28 

29  19 

28  II 

27  03 

25  55 

24  47 

23  39 

22  32 

21  25 

40 

50 

32  52 

3144 

30  35 

29  27 

28  19 

27  II 

26  03 

24  56 

23  49 

22  41 

21  34 

50 

5 

OO 

32  54 

31  47 

3-^  38 

29  31 

28  25 

27  18 

26  09 

25  03 

23  55 

22  48 

21  40 

5     00 

lO 

32  53 

31  47 

30  39 

29  33 

28  27 

27  20 

26  12 

25  06 

24  00 

2?  53 

21  46 

10 

20 

32  50 

31  44 

3038 

29  32 

28  26 

27  19 

26  13 

25  07 

24  01 

22  54 

21  49 

20 

30 

32  43 

31  39 

30  33 

29  27 

28  22 

27  16 

26  II 

25  06 

24  00 

22  54 

21  48 

30 

40 

32  33 

31  29 

30  24 

29  20 

28  i€ 

27  12 

26  06 

25  01 

23  56 

22  51 

21  46 

40 

50 

32  22 

31  18 

30  1+ 

29  10 

28  07 

27  03 

25  58 

24  54 

23  50 

22  46 

21  41 

50 

6 

OO 

32  06 

31  04 

30  00 

2858 

27  55 

26  52 

25  48 

24  45 

23  42 

22  38 

21  34 

6     00 

lO 

31  47 

30  47 

29  45 

2843 

27  41 

26  39 

25  37 

24  34 

23  32 

22  28 

21  25 

10 

20 

31  28 

30  28 

29  26 

2825 

27  24 

26  24 

25  22 

24  20 

23  18 

22  16  . 

21  14 

20 

30 

31  04 

30  05 

29  05 

28  05 

27  05 

26  05 

25  05 

24  04 

23  04 

22  03 

21  01 

30 

40 

30  39 

29  40 

28  42 

27  42 

26  44 

25  45 

24  46 

23  46 

22  46 

21  46 

20  46 

40 
50 

50 

30  II 

29  14 

28  16 

27  IS 

26  20 

25  23 

24  25 

23  26 

12    27 

21  27 

20  29 

7 

OO 

29  40 

28  44 

27  47 

26  51 

25  54 

24  58 

24  01 

23  04 

22  06 

21  08 

20  10 

7     00 

lO 

29  08 

28  13 

27  17 

26  21 

25  27 

24  31 

23  35 

22  38 

21  42 

20  45 

19  49 

10 

20 

28  33 

27  39 

26  45 

25  50 

24  '^t 

24  02 

23  07 

22  12 

21  17 

20  21 

19  26 

20 

30 

27  55 

27  02 

26  09 

25  17 

24  24 

23  31 

22  37 

21  43 

20  51 

19  56 

19  01 

30 

40 

27  16 

26  24 

25  33 

24  41 

23  49 

22  58 

22  06 

21  14 

20  21 

19  28 

18  36 

40 

50 

26  34 

25  44 

24  53 

24  03 

23  13 

22  23 

21  32 

20  42 

19  50 

18  59 

18  08 

50 

8 

OO 

25  49 

25  02 

24  12 

23  23 

22  35 

21  45 

20  57 

■20  08 

19  iS 

18  28 

17  38 

8     00 

lO 

25  03 

24  16 

23  29 

22  41 

21  55 

21  07 

20  20 

19  32 

18  44 

17  55 

1707 

10 

20 

24  15 

23  30 

22  43 

21  58 

21  13 

20  27 

19  41 

18  54 

18  08 

17  21 

16  34 

20 

30 

23  25 

22  41 

21  57 

21  13 

20  29 

19  44 

19  00 

18  14 

17  30 

16  45 

15  59 

30 

40 

22  32 

21  50 

21  08 

20  25 

19  43 

19  00 

18  17 

17  34 

16  51 

16  07 

15  24 

40 

50 

21  38 

20  58 

20  17 

19  36 

18  55 

18  14 

17  33 

16  52 

16  II 

15  28 

14  47 

50 

» 

OO 

20  43 

20  04 

19  24 

18  45 

18  06 

17  27 

16  47 

16  07 

15  29 

14  48 

14  08 

9     00 

lO 

19  45 

19  07 
18  09- 

18  30 

17  52 

17  15 

1638 

16  00 

15  23 

14  45 

14  07 

13  29 

10 

20 

1845 

17  33 

16  58 

16  23 

15  47 

15  12 

14  36 

14  01 

13  24 

12  49 

20 
30 
40 
50 

30 

17  44 

17  II 

1636 

16  03 

15  30 

14  55 

14  21 

13  48 

13  14 

12  40 

12  06 

40 

16  41 

16  09 

1538 

15  06 

14  34 

14  03 

13  31 

12  59 

12  27 

11  55 

II  23 

50 

15  37 

15  06 

14  37 

14  07 

13  37 

13  08 

12  38 

12  08 

11  38 

II  08 

10  36 

lO 

OO 

14  30 

14  03 

13  35 

13  07 

12  40 

12  12 

II  45 

II  17 

10  50 

10  21 

9  54 

10     00 
10 

lO 

13  23 

12  57 

12  32 

12  06 

II  41 

II  15 

10  50 

10  24 

9  59 

9  33 

9  07 

20 

12  14 

"  51 

II  27 

II  04 

10  40 

10  18 

9  54 

9  31 

9  07 

8  43 

8  21 

20 
30 
40 
50 

30 

11  05 

10  43 

10  22 

10  01 

9  40 

9  18 

8  58 

8  36 

8  15 

7  54 

7  33 

40 

9  54 

9  35 

9  15 

856 

838 

8  19 

7  59 

7  41 

7  22 

7  03 

6  44 

50 

8  41 

8  25 

8  08 

7  51 

7  35 

7  .18 

7  02 

6  45 

6  29 

6  II 

5  55 

11 

OO 

7  28 

7  H 

6  59 

6  46 

631 

6  17 

6  03 

5  49 

5  34 

5  20 

5  05 

11     00 

lO 

6  16 

6  03 

5  51 

5  39 

5  27 

5  15 

5  03 

4  51 

4  39 

4  27 

4  15 

10 
20 
30 
40 

20 

5  01 

4  51 

4  42 

4  31 

4  22 

4  12 

4  03 

3  54 

3  44 

3  34 

3  25 

30 

3  46 

338 

3  31 

3  25 

3  17 

3  10 

3  02 

256 

2  48 

2  41 

2  33 

40 

2  31 

2  26 

2  21 

2  17 

2  12 

2  07 

2  02 

I  57 

I  52 

I  48 

I  43 

50 

1  15 

I  13 

I  II 

I  08 

I  06 

I  04 

I  01 

0  58 

0  56 

0  54 

0  52 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  labulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


101 


AZIMUTH    OR   TRUE    BEARING. 


LATITUDE  24^. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

JLATITUDE  24°. 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

li. 

111. 

o     / 

0    / 

0    / 

0    / 

0    / 

0    / 

0    / 

0    t 

0    / 

0    ' 

0    / 

0    / 

h*          m. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0          00 

lO 

89  29 

65  46 

48  02 

3626 

2847 

23  33 

19  48 

17  00 

14  50 

13  07 

II  44 

10  32 

10 

20 

88  59 

7635 

65  09 

55  19 

47  15 

40  44 

35  30 

31  14 

27  44 

24  52 

22  27 

20  24 

20 

30 

88  28 

80  08 

72  03 

64  31 

57  43 

51  41 

46  26 

41  52 

37  54 

34  29 

31  30 

28  54 

30 

40 

8758 

81  40 

75  28 

69  31 

63  52 

5839 

53  51 

49  30 

45  34 

42  02 

38  51 

35  59 

40 

50 

8727 

82  24 

77  23 

72  28 

67  44 

63  13 

58  57 

54  57 

51  15 

47  49 

44  39 

41  45 

50 

1 

OO 

8656 

82  43 

78  30 

74  20 

70  16 

66  19 

62  32 

58  55 

55  29 

52  15 

49  12 

46  21 

1           00 

lO 

8625 

82  47 

79  09 

75  32 

71  59 

68  30 

65  07 

61  50 

58  41 

55  40 

5248 

50  04 

10 

20 

85  54 

82  42 

79  30 

7619 

73  10 

70  03 

67  00 

64   CX3 

61  07 

58  20 

5538 

53  02 

20 

30 

85  22 

82  31 

7940 

76  48 

73  58 

71  09 

68  23 

65   40 

62  59 

60  24 

57  51 

55  25 

30 

40 

84  51 

82  16 

79  41 

77  06 

74  31 

71  57 

69  25 

6654 

64  26 

62  01 

5938 

57  19 

40 

50 

84  19 

81  57 

79  36 

77  13 

74  51 

72  30 

70  09 

67  50 

65  32 

63  16 

61  02 

58  52 

60 

2 

OO 

83  47 

81  37 

79  25 

77  14 

75  03 

72  52 

70  41 

6832 

66  23 

64  16 

62  10 

60  07 

2          00 

10 

83  14 

81  13 

79  12 

77  10 

7508 

73  05 

71  03 

69  02 

67  01 

65  01 

63  03 

61  06 

10 

20 

82  42 

80  48 

78  55 

77  01 

75  07 

73  12 

71  18 

69   23 

67  30 

6536 

63  45 

61  53 

20 

30 

82  08 

80  22 

7835 

7648 

75  01 

73  13 

71  25 

69  37 

67  49 

66  02 

64  15 

62  30 

30 

40 

81  35 

79  54 

78  13 

76  32 

74  51 

73  08 

71  26 

69  44 

68  02 

66  20 

64  38 

6258 

40 

50 

81  01 

79  25 

77  50 

76  14 

74  37 

73  00 

71  24 

69  46 

68  09 

66  31 

64  55 

63  18 

50 

3 

OO 

80  26 

7855 

77  24 

75  53 

74  21 

72  48 

71  16 

69  43 

68  10 

6637 

65  04 

63  32 

3          00 

lO 

79  51 

78  25 

7658 

75  30 

74  02 

72  34 

71  05 

69  37 

68  07 

6638 

65  09 

63  40 

10 

20 

79  16 

77  52 

76  29 

75  05 

73  40 

72  16 

70  51 

69  26 

68  c» 

6635 

65  09 

63  44 

20 

30 

78  39 

77  20 

76  00 

74  39 

73  18 

71  56 

70  34 

69  12 

67  50 

66  27 

65  05 

63  42 

30 

40 

78  03 

76  46 

75  28 

74  II 

72  52 

71  34 

70  15 

68  56 

6736 

66  16 

64  57 

63  37 

40 

50 

77  25 

76  u 

74  56 

73  40 

72  25 

71  09 

69  53 

6837 

67  19 

66  03 

64  45 

63  28 

50 

4 

OO 

76  47 

75  35 

74  22 

73  09 

71  56 

70  43 

69  29 

68  15 

67  00 

65  46 

64  30 

63  16 

4           00 

lO 

75  08 

7458 

7348. 

72  37 

71  26 

70  14 

69  03 

67  51 

6639 

6526 

64  13 

63  00 

10 

20 

7528 

74  20 

73  12 

72  04 

70  54 

69  45 

68  35 

67  25 

66  15 

65  04 

63  53 

62  42 

20 

30 

74  48 

73  42 

72  35 

71  28 

70  20 

69  13 

6805 

6656 

65  48 

64  39 

63  30 

62  21 

30 

40 

74  06 

73  02 

71  56 

70  51 

69  46 

6839 

67  33 

66  26 

65  20 

64  12 

63  05 

61  58 

40 

50 

73  24 

72  20 

71  17 

70  13 

69  08 

68  04 

6659 

65  54 

64  49 

63  43 

6238 

61  31 

50 

5 

OO 

72  40 

71  38 

70  36 

69  33 

6830 

67  27 

6623 

65  19 

64  16 

63  12 

62  07 

61  03 

5           00 

lO 

71  55 

70  55 

69  54 

6852 

67  50 

66  48 

65  46 

64  44 

63  41 

62  38 

61  35 

60  32 

10 

20 

71  09 

70  10 

69  09 

68  09 

67  09 

66  08 

65  07 

64  06 

63  04 

62  03 

61  01 

59  59 

20 

30 

70  22 

69  23 

68  25 

67  25 

66  26 

65  26 

64  26 

63  26 

62  25 

61  25 

60  24 

30 

40 

69  33 

68  36 

6738 

66  39 

65  40 

64  42 

63  43 

62  44 

61  44 

60  45 

59  46 

58  46 

40 

50 

68  44 

67  47 

6649 

65  52 

64  54 

6356 

62  58 

62  00 

61  02 

60  03 

59  04 

58  06 

50 

6 

OO 

67  52 

6656 

6559 

65  02 

64  06 

63  09 

62  II 

61  14 

60  17 

59  19 

58  22 

57  24 

6           00 

lO 

6659 

66  03 

6508 

64    12- 

63  15 

62  19 

61  23 

60  26 

59  29 

58  33 

■    57  36 

56  39 

10 

20 

66  04 

65  09 

64  13 

63  19 

62  23 

61  28 

60  32 

59  36 

58  41 

57  44 

56  49 

55  52 

20 

30 

65  07 

64  13 

63  18 

62  24 

61  29 

60  34 

59  39 

58  44 

57  49 

56  54 

55  58 

55  04 

30 

40 

64  08 

63  14 

62  20 

61  26 

60  32 

5938 

5844 

57  50 

56  55 

56  01 

55  06 

54  12 

40 

50 

6308 

62  15 

61  21 

60  27 

59  34 

58  40 

57  46 

56  53 

55  59 

55  05 

54  12 

53  18 

50 

7 

OO 

62  04 

61  12 

60  18 

59  25 

53  33 

57  39 

56  46 

55  54 

55  01 

54  08 

53  15 

52  22 

7         qo 

lO 

60  59 

60  06 

59  13 

58  21 

57  29 

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55  44 

54  52 

53  59 

53  07 

52  14 

51  23 

10 

20 

59  51 

58  59 

58  07 

57  14 

56  23 

55  31 

54  39 

53  47 

52  55 

52  04 

51  13 

50  21 

20 

30 

58  40 

57  49 

56  57 

56  05 

55  14 

54  23" 

53  31 

52  40 

51  49 

5058 

50  07 

49  17 

30 

40 

57  27 

56  35 

55  44 

54  53 

54  02 

53  11 

52  21 

51  30 

50  40 

49  50 

48  59 

48  09 

40 

50 

56  10 

55  19 

54  29 

53  37 

52  48 

51  57 

51  08 

50  17 

49  27 

48  38 

47  48 

47  00 

SO 

8 

OO 

54  50 

54  00 

53  09 

52  19 

51  29 

50  40 

49  50 

49  01 

48  12 

47  23 

46  34 

45  47 

8           00 

lO 

53  27 

52  37 

51  47 

50  57 

50  99 

49  19 

48  30 

47  42 

46  54 

46  06 

45  17 

44  31 

10 

20 

52  QO 

51  11 

50  22 

49  32 

48  44 

47  56 

47  07 

46  20 

45  32 

44  44 

4358 

43  II 

20 

30 

50  2q 

49  41 

48  51 

48  03 

47  15 

46  27 

45  40 

44  53 

44  06 

43  20 

42  34 

41  48 

30 

40 

48  54 

48  05 

47  18 

46  30 

45  43 

44  56 

44  10 

43  24 

42  37 

41  52 

41  06 

40  23 

40 

SO 

47  15 

46  27 

45  40 

44  53 

44  07 

43  21 

42  35 

41  50 

41  04 

40  21 

39  36 

3853 

SO 

9 

OO 

45  31 

44  44 

43  58 

43  12 

42  26 

41  42 

40  56 

40  12 

39  28 

3845 

38  02 

37  19 

9           00 

lO 

43  43 

42  57 

42  II 

41  26 

40  41 

3958 

39  14 

3831 

37  48 

37  07 

36  24 

35  43 

10 

S2 

41  50 

41  04 

40  20 

39  36 

3852 

38  10 

37  28 

36  46 

36  04 

35  23 

34  42 

34  03 

20 

30 

39  51 

39  07 

08  24 

37  41 

36  59 

36  17 

35  36 

34  56 

34  16 

33  37 

3258 

32  20 

30 

-S 

37  47 

37  05 

36  22 

35  42 

35  00 

34  20 

33  41 

33  02 

32  23 

31  45 

31  08 

30  32 

40 

50 

3538 

34  56 

34  16 

33  37 

32  57 

32  19 

31  41 

31  04 

30  27 

29  50 

29  15 

28  41 

60 

lO 

OO 

33  23 

32  43 

32  05 

31  27 

30  49 

30  13 

29  37 

29  02 

28  26 

27  53 

27  18 

26  46 

10       00 

lO 

31  02 

30  25 

29  48 

29  12 

28  36 

28  02 

27  29 

26  55 

26  22 

25  50 

^  17 

24  46 

10 

20 

28  36 

28  01 

27  26 

26  53 

26  19 

25  47 

25  15 

24  44 

24  14 

23  43 

23  13 

22  45 

20 

30 

26  04 

25  31 

24  59 

24  28 

23  57 

23  28 

22  58 

22  29 

22  01 

21  33 

21  06 

20  39 

30 

40 

23  26 

22  56 

22  27 

21  58 

21  30 

21  04 

20  36 

20  10 

19  44 

19  19 

1855 

18  30 

40 

50 

20  44 

20  17 

19  51 

19  25 

1859 

1835 

18  II 

17  48 

17  25 

17  03 

16  40 

16  19 

SO 

11 

OO 

17  56 

17  33 

17  09 

16  47 

16  24 

16  04 

15  42 

15  22 

15  02 

14  43 

14  23 

14  04 

11           00 

lO   . 

15  04 

14  44 

14  25 

14  05 

13  46 

13  29 

13  II 

12  53 

12  36 

12  19 

12  03 

II  47 

10 

20 

12  08 

11  52 

II  36 

II  20 

II  05 

10  50 

10  36 

10  22 

10  08 

9  55 

9  41 

9  28 

20 

30 

9  09 

857 

8  45 

832 

8  21 

8  10 

7  59 

7  49 

738 

7  28 

718 

708 

30 

40 

6  08 

5  59 

5  51 

5  43 

5  35 

528 

5  20 

5  13 

506 

4  59 

4  53 

4  46 

40 

50 

3  f 4 

3  00 

2  55 

2  52 

2  48 

2  44 

2  41 

2  37 

2  33 

2  30 

2  27 

2  24 

SO 

12 

OO 

0  00 

0  00 

0  00 

0    CK) 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12          00 

In  North  latltade,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
.when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


102 


AZIMUTH  OR  TRUE  BEARING. 


L.ATITITDE  34°. 

DECLINATION— 

SAME  NAME  AS— LATITUDE. 

LATITUDE  24°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

Ji. 

m. 

0  / 

0  / 

0  / 

0  1 

0  / 

0  ' 

0  / 

0  t 

0  / 

0  / 

0  1 

0  / 

b.    m. 

0 

OO 

o  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

9  37 

8  48 

8  05 

727 

6  54 

625 

5  59 

5  35 

5  14 

4  55 

4  37 

4  22 

10 

20 

1838 

17  06 

15  46 

14  36 

13  34 

12  37 

II  47 

II  02 

10  21 

9  44 

9  09 

838 

20 

30 

26  37 

24  36 

22  48 

21  12 

19  46 

18  28 

17  18 

16  13 

15  14 

14  21 

13  31 

12  46 

30 

40 

33  25 

31  06 

29  01 

27  07 

25  23 

23  49 

22  22 

21  03 

19  49 

18  42 

17  39 

16  42 

40 

50 

39  04 

36  37 

34  22 

32  17 

30  22 

28  36 

26  58 

25  27 

24  02 

22  44 

21  31 

20  23 

50 

1 

OO 

43  42 

41  12 

38  54 

36  44 

3^42 

32  50 

31  04 

29  25 

27  53 

26  26 

25  05 

23  48 

1     00 

lO 

47  28 

45  01 

42  42 

40  32 

38  28 

36  30 

34  41 

32  57 

31  19 

29  47 

28  20 

2656 

10 

20 

50  32 

48  09 

45  53 

43  43 

41  40 

39  42 

37  50 

36  04 

34  22 

32  46 

31  15 

29  47 

20 

30 

53  02 

50  45 

48  33 

46  26 

44  23 

42  27 

40  35 

3848 

37  04 

35  27 

33  52 

32  22 

30 

40 

55  04 

52  53 

50  46 

48  43 

46  43 

44  48 

42  58 

41  II 

39  27 

37  48 

36  12 

34  40 

40 

60 

56  44 

54  39 

52  37 

50  37 

48  41 

46  49 

45  00 

43  14 

41  31 

39  53 

38  17 

36  43 

50 

3 

OO 

58  05 

56  05 

54  08 

52  14 

50  21 

48  32 

46  46 

45  01 

43  20 

41  42 

40  06 

38  34 

2     00 

lO 

59  10 

57  16 

55  24 

53  34 

51  45 

49  59 

48  15 

46  33 

44  54 

43  17 

41  42 

40  10 

10 

ao 

60  03 

58  14 

56  27 

54  40 

52  55 

51  13 

49  32 

47  53 

46  15 

44  39 

43  07 

41  35 

20 

30 

60  45 

59  00 

57  18 

55  35 

53  54 

52  15 

50  37 

49  00 

47  24 

45  51 

44  20 

42  49 

30 

40 

6r  17 

59  37 

5758 

56  20 

54  43 

53  06 

51  31 

49  57 

48  24 

46  53 

45  23 

43  54 

40 

60 

61  41 

60  06 

5831 

5656 

55  22 

53  49 

52  17 

50  45 

49  15 

47  46 

46  17 

44  49 

50 

3 

OO 

61  59 

60  27 

5855 

57  24 

55  53 

54  23 

52  53 

51  24 

49  56 

48  29 

47  03 

45  36 

3     00 

lO 

62  II 

60  42 

59  14 

57  46 

56  18 

54  50 

53  24 

51  57 

50  31 

49  06 

47  41 

46  17 

10 

20 

62  17 

60  52 

59  27 

58  02 

5636 

55  II 

53  47 

52  22 

50  59 

49  36 

48  13 

46  51 

20 

30 

62  19 

60  57 

59  34 

58  II 

56  49 

55  26 

54  04 

52  42 

5T  20 

50  00 

48  38 

47  17 

30 

40 

62  17 

6056 

59  37 

58  17 

5656 

55  36 

54  16 

52  56 

51  37 

50  18 

48  59 

47  39 

40 

50 

62  10 

60  53 

59  35 

58  17 

56  59 

55  41 

54  24 

53  06 

51  48 

50  31 

49  13 

47  56 

50 

4 

OO 

62  00 

60  45 

59  30 

58  14 

5658 

55  42 

54  26 

53  II 

51  55 

50  39 

49  23 

48  08 

4     00 

lO 

61  47 

60  34 

59  20 

5807 

5653 

5538 

54  25 

53  10 

51  56 

50  43 

49  28 

48  14 

10 

20 

61  30 

60  19 

59  08 

57  56 

56  44 

55  32 

54  20 

53  07 

51  55 

50  43 

49  30 

48  17 

20 

30 

61  12 

60  01 

58  52 

57  42 

56  52 

55  21 

54  10 

53  00 

51  49 

50  38 

49  27 

48  16 

30 

40 

60  49 

59  41 

58  33 

57  25 

56  16 

55  07 

5358 

52  49 

51  40 

50  30 

49  21 

48  II 

40 

50 

60  25 

59  18 

58  12 

57  oi 

55  58 

54  50 

53  43 

52  35 

51  27 

50  19 

49  II 

48  03 

50 

5 

OO 

59  58 

58  53 

57  48 

5642 

55  37 

54  30 

53  24 

52  18 

51  II 

50  05 

4858 

47  51 

5     00 

lO 

59  28 

58  24 

57  21 

56  16 

55  13 

5408 

53  03 

51  58 

50  52 

49  47 

48  41 

47  36 

10 

20 

58  57 

57  54 

56  52 

55  49 

54  45 

53  42 

52  38 

51  35 

50  31 

49  26 

48  22 

47  18 

20 

30 

58  22 

57  21 

56  20 

55  18 

54  16 

53  14 

52  II 

51  08 

50  06 

49  03 

48  00 

46  56 

30 

40 

57  46 

56  45 

55  45 

54  44 

53  44 

52  42 

51  41 

50  40 

49  38 

48  36 

47  34 

46  32 

40 

50 

57  07 

56  07 

5508 

54  09 

53  09 

52  09 

51  oS 

50  08 

49  08 

48  08 

47  06 

46  05 

50 

6 

OO 

56  25 

55  27 

54  30 

53  31 

52  32 

51  33 

50  34 
49  56 

49  34. 

48  35 

47  36 

46  35 

45  35. 

6     00 

lO 

55  42 

54  45 

5348 

52  50 

51  52 

50  54 

4^57 

47  59 

47  01 

46  02 

45  02 

10 

20 

54  56 

54  00 

53  04 

52  07 

51  10 

50  13 

49  16 

48  18 

47  21 

46  24 

45  26 

44  28 

20 

30 

54  07 

53  13 

52  18 

51  21 

50  26 

49  29 

48  33 

47  36 

46  40 

45  44 

44  46 

43  50 

30 

40 

53  17 

52  22 

51  28 

50  33 

49  38 

48  43 

47  47 

46  52 

45  57 

45  01 

44  05 

43  09 

40 

50 

52  24 

51  30 

50  36 

49  43 

48  49 

47  54 

46  59 

46  05 

45  10 

44  16 

43  21 

42  26 

50 

7 

OO 

51  29 

50  36 

49  42 

48  49 

47  56 

47  02 

46  09 

45  16 

44  22 

43  29 

42  35 

41  40 

7     00 

lO 

50  30 

49  38 

48  46 

47  54 

47  01 

46  09 

45  16 

44  24 

43  31 

42  39 

41  46 

40  52 

10 

20 

49  29 

48  38 

47  47 

46  55 

46  04 

45  12- 

44  21 

43  29 

42  37 

41  45 

40  53 

40  01 

20 

30 

48  25 

47  35 

46  44 

45  54 

45  03- 

44  12 

43  22 

42  31 

41  41 

40  50 

39  59 

3908 

30 

40 

47  19 

46  29 

45  40 

44  50 

44  00 

43  II 

42  20 

41  31 

40  41 

39  52 

39  02 

38  12 

40 

• 

50 

46  II 

45  21 

44  32 

43  44 

42  55 

42  06 

41  17 

40  28 

39  39 

3851 

38  02 

37  14 

50 

8 

OO 

44  58 

44  10 

43  21 

42  33 

41  45 

40  57 

40  10 

»39  22 

3834 

3748 

36  59 

36  12 

8     00 

lO 

43  43 

42  56 

42  08 

41  21 

40  34 

39  47 

39  00 

38  14 

37  28 

36  42 

35  55 

35  09 

10 

20 

42  24 

41  37 

40  52 

40  06 

39  20 

3834 

3748 

37  03 

36  18 

35  33 

34  47 

34  02 

20 

30 

41  03 

40  17 

39  32 

38  47 

38  02 

37  18 

36  33 

3548 

35  05 

34  21 

33  37 

32  53 

30 

40 

3938 

38  53 

3809 

37  25 

36  41 

35  59 

35  15 

34  32 

33  49 

33  07 

32  23 

31  41 

40 

50 

38  10 

37  25 

36  43 

36  01 

35  18 

34  35 

33  53 

33  12 

32  31 

31  50 

31  08 

30  27 

50 

9 

OO 

36  37 

35  55 

35  14 

34  32 

33  51 

33  10 

32  30 

31  49 

31  09 

30  29 

•  29  49 

29  09 

9     00 

lO 

35  02 

34  21 

33  41 

33  01 

32  22 

31  42 

31  02 

30  24 

29  45 

29  07 

28  27 

27  50 

10 

20 

33  23 

32  44 

32  05 

31  27 

30  49 

30  10 

29  33 

28  55 

28  18 

27  42 

27  04 

26  27 

20 

30 

31  40 

31  03 

30  26 

29  49 

29  13 

28  36 

28  00 

27  23 

26  48 

26  13 

2538 

25  03 

30 

40 

29  54 

29  19 

^f  43 

28  07 

27  33 

2658 

26  23 

25  50 

25  15 

24  43 

24  09 

23  36 

40 

50 

28  05 

27  30 

26  58 

26  24 

25  51 

25  18 

24  45 

24  13 

23  40 

23  10 

22  38 

22  06 

50 

lO 

OO 

26  12 

25  40 

25  08 

24  36 

24  05 

23  34 

23  04 

22  33 

22  03 

21  33 

21  04 

20  35 

10     00 

lO 

24  15 

23  46 

23  15 

22  45 

22  16 

21  48 

21  19 

20  51 

20  23 

19  55 

19  27 

19  00 

10 

20 

22  16 

21  48 

21  20 

20  52 

20  25 

1958 

19  32 

19  06 

18  41 

18  15 

17  50 

17  25 

20 

30 

20  12 

19  47 

19  22 

18  56 

18  32 

18  07 

17  43 

17  19 

16  55 

16  32 

16  09 

15  46 

30 

40 

18  06 

17  43 

17  20 

16  57 

16  34 

16  13 

15  51 

15  29 

15  08 

14  47 

14  26 

14  06 

40 

50 

15  57 

15  37 

15  16 

14  56 

14  36 

14  16 

13  57 

13  38 

13  19 

13  01 

12  42 

12  24 

50 

11 

OO 

13  45 

13  28 

13  10 

12  53 

12  35 

12  18 

12  02 

II  44 

II  28 

II  12 

10  57 

10  40 

11     00 

lO 

II  31 

II  17 

II  01 

10  46 

10  32 

10  18 

10  04 

9  50 

9  36 

9  23 

9  09 

856 

10 

20 

9  16 

9  03 

851 

8  40 

8  28 

8  16 

8  05 

7  43 

7  32 

7  21 

7  10 

20 

30 

6  58 

6  49 

6  40 

6  30 

6  22 

6  13 

6  05 

5  56 

5  48 

5  39 

5  32 

5  24 

30 

40 

4  40 

4  33 

4  28 

4  21 

4  '§ 

4  10 

4  04 

358 

3  53 

3  47 

3  41 

336 

40 

50 

2  20 

2  17 

2  14 

2  II 

2  08 

2  05 

2  02 

I  59 

I  56 

I  53 

I  51 

I  49 

50 

la 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  .star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimut  1  is  to  be  taken  for  the  required  true  bearing. 


103 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  24°. 

DECIylNATION- 

-SAME  NAME  AS— lyATtTUDE. 

latitude:  24°. 

Hour  Angle. 

48° 

49° 

50° 

61° 

62° 

63° 

64° 

66° 

66° 

67° 

68° 

590 

Hour  Angle. 

h. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  f 

0  ' 

0  / 

0  / 

0  / 

0  / 

0   ' 

b.    m. 

O 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

4  o6 

3  52 

3  40 

3  28 

3  16 

3  06 

256 

2  46 

238 

2  30 

2  22 

2  15 

10 

20 

8  09 

7  42 

7  16 

6  52 

6  31 

6  10 

5  50 

5  32 

5  15 

458 

4  43 

428 

20 

30 

T2  03 

II  24 

10  47 

.  10  12 

9  40 

9  10 

8  41 

8  14 

7  48 

7  24 

7  02 

6  40 

30 

40 

15  47 

14  57 

14  09 

13  26 

12  44 

12  05 

II  27 

10  53 

10  19 

•9  47 

9  18 

8  49 

40 

50 

19  19 

18  19 

17  23 

16  30 

15  40 

14  52 

14  07 

13  25 

12  45 

12  06 

II  29 

10  55 

50 

1 

OO 

22  36 

21  29 

20  24 

19  23 

18  26 

17  32 

16  40 

15  51 

15  04 

14  19 

13  36 

12  55 

1    00 

lO 

2538 

24  24 

23  13 

22  07 

21  02 

20  02 

19  04 

18  10 

17  17 

16  27 

15  38 

14  53 

10 

20 

28  24 

27  05 

25  50 

^^  38 

23  29 

22  23 

21  21 

20  21 

19  23 

18  27 

17  "35 

16  44 

20 

30 

30  56 

29  33 

28  14 

26  58 

25  44 

24  35 

23  28 

22  23 

21  21 

20  22 

19  25 

18  30 

30 

40 

33  12 

31  46 

30  24 

29  06 

27  50 

26  36 

25  26 

24  18 

23  13 

22  10 

21  08 

20  09 

40 

50 

35  14 

33  47 

32  23 

31  02 

29  44 

28  28 

27  14 

26^3 

24  55 

23  49 

22  45 

21  43 

60 

2 

OO 

37  03 

35  36 

34  10 

32  48 

31  28 

30  10 

2855 

27  42 

26  31 

25  22 

24  16 

23  II 

2    00 

lO 

38  40 

37  12 

35  47 

34  24 

33  02 

31  43 

30  27 

29  12 

27  59 

26  48 

25  40 

24  32 

10 

20 

40  05 

3838 

37  J^ 

35  49 

34  27 

33  07 

31  49 

30  34 

29  20 

28  07 

26  57 

2548 

20 

30 

41  20 

39  54 

38  28 

37  05 

35  43 

34  23 

33  05 

31  48 

30  33 

29  19 

28  07 

26  57 

30 

40 

42  27 

41  01 

39  36 

38  13 

36  51 

35  31 

34  12 

32  54 

31  39 

30  25 

29  12 

28  00 

40 

50 

43  23 

41  58 

40  35 

39  12 

37  50 

36  31 

35  12 

33  55 

32  39 

31  24 

30  II 

28  58 

60 

3 

OO 

44  12 

42  49 

41  26 

40  05 

38  44 

37  24 

36  06 

34  49 

33  32 

32  17 

31  03 

29  51 

3     00 

10 

44  54 

43  32 

42  10 

40  50 

39  30 

38  II 

36  53 

35  36 

34  20 

33  05 

31  51 

30  38 

10 

20 

45  30 

44  08 

42  48 

41  28 

40  09 

3851 

37  34 

36  17 

35  02 

33  46 

32  33 

31  20 

20 

30 

45  59 

44  39 

43  19 

42  01 

40  43 

39  26 

38  09 

36  53 

35  38 

34  24 

33  10 

31  56 

30 

40 

46  22 

45  03 

43  45 

42  28 

41  II 

39  55 

3839 

37  24 

36  09 

34  55 

33  42 

32  29 

40 

50 

46  39 

45  23 

44  06 

42  50 

41  34 

40  19 

39  04 

37  50 

3636 

35  22 

34  10 

3257 

50 

4 

OO 

46  52 

45  37 

44  22 

43  08 

41  53 

4038 

39  24 

38  10 

36  57 

35  45 

34  32 

33  10 

4    00 

lO 

47  01 

45  47 

44  33 

43  20 

42  06 

40  53 

39  40 

38  27 

37  15 

36  02 

34  51 

33  39 

10 

20 

47  05 

45  53 

44  40 

43  28 

42  15 

41  03 

39  51 

3839 

37  28 

36  >7 

35  06 

33  54 

20 

30 

47  05 

45  54 

44  42 

43  32 

42  21 

41  10 

3958 

38  48 

37  37 

36  27 

35  17 

34  06 

30 

40 

47  02 

45  52 

44  42 

43  32 

42  22 

41  12 

40  03 

38  53 

37  42 

36  33 

35  24 

34  13 

40 

60 

4656 

45  46 

44  37 

43  2.9 

42  20 

41  II 

40  02 

3853 

37  45 

3636 

35  27 

34  18 

50 

5 

OO 

46  44 

45  37 

44  28 

43  21 

42  14 

41  06 

39  58 

38  51 

37  43 

36  35 

35  27 

34  19 

5     00 

lO 

46  30 

45  23 

44  18 

43  " 

42  05 

40  58 

39  51 

38  45 

37  37 

36  31 

35  24 

34  17 

10 

20 

46  13 

4508 

44  02 

42  58 

41  52 

40  47 

39  41 

38  35 

37  30 

36  23 

35  18 

34  II 

20 

30 

45  53 

44  49 

43  45 

42  41 

41  36 

40  32 

39  27 

38  23 

37  18 

36  13 

3508 

34  03 

30 

40 

45  30 

44  27 

43  24 

42  22 

41  19 

40  15 

39  II 

38  08 

37  04 

36  00 

34  56 

33  52 

40 

50 

45  04 

44  02 

43  00. 

41  59 

40  57 

39  54 

3852 

37  49 

36  46 

35  44 

34  41 

33  37 

60 

*4 

OO 

44  35 

43  35 

42  34 

41  33 

40  32 

39  31 

38  30 

37  28 

3626 

35  24 

34  23 

33  20 

6     00 

lO 

44  04 

43  04 

42  05 

41  05 

40  05 

39  05 

38  04 

37  05 

36  03 

35  02 

J4  01 

33  09 

10 

20 

43  30 

42  31 

41  32 

40  35 

39  35 

3836 

37  37 

36  37 

35  38 

34  38 

3338 

32  3» 

20 

30 

42  53 

41  56 

40  59 

40  01 

39  03 

38  05 

37  06 

36  08 

35  09 

34  11 

33  12 

32  12 

30 

40 

42  14 

41  17 

40  20 

39  24 

38  27 

37  30 

36  33 

35  36 

34  39 

33  41 

32  44 

31  45 

40 

50 

41  32 

40  36 

39  41 

3846 

37  49 

36  54 

3558 

35  02 

34  06 

33  09 

32  13 

31  16 

50 

7 

OO 

4047 

39  53 

3858 

38  04 

37  10 

36  15 

35  20 

34  25 

33  30 

32  34 

31  39 

30  43 

7     00 

10 

40  00 

39  06 

38  13 

37  20 

36  27 

35  33 

34  39 

33  45 

32  51 

31  57 

31  03 

30  oS 

10 

20 

39  10 

38  18 

37  26 

36  34 

35  41 

3448 

33  55 

33  03 

32  II 

31  18 

30  25 

29  31 

20 

30 

38  17 

37  26 

36  35 

35  45 

34  53 

34  02 

33  10 

32  19 

31  27 

30  36 

29  44 

28  52 

30 

40 

37  22 

36  33 

35  43 

34  53 

34  03 

33  13 

32  22 

31  32 

3042 

29  52 

29  01 

28  10 

40 

50 

36  25 

35  36 

34  48 

34  00 

33  II 

32  22 

31  32 

30  44 

29  54 

29  c6 

28  16 

27  27 

50 

8 

OO 

35  25 

34  37 

33  50 

33  03 

32  15 

31  27 

30  39 

29  52 

29  04 

28  17 

27  29 

26  40 

8     00 

lO 

34  22 

33  36 

32  50 

32  04 

31  17 

30  31 

29  45 

2858 

2»  12 

27  25 

2639 

25  53 

10 

20 

33  17 

32  32 

31  46 

31  02 

30  17 

29  32 

28  47 

28  03 

27  18 

26  33 

25  48 

25  02 

20 

30 

32  10 

31  25 

30  41 

29  59 

29  15 

28  31 

27  47 

27  04 

26  20 

25  38 

24  54 

24  10 

30 

40 

30  59 

30  17 

29  33 

28  52 

28  10 

27  28 

26  45 

26  03 

25  22 

24  40 

23  59 

23  16 

40 

50 

29  46 

29  05 

28  24 

27  43 

27  03 

26  22 

25  42 

25  01 

24  21 

23  41 

23  01 

22  20 

50 

» 

OO 

28  30 

27  51 

27  12 

26  32 

25  53 

25  14 

24  35 

23  56 

23  17 

22  39 

22  00 

21  22 

9     00 

lO 

27  13 

26  34 

25  56 

25  19 

24  41 

24  04 

23  27 

22  50 

22  13 

21  36 

20  59 

20  22 

10 

20 

25  51 

25  15 

24  40 

24  04 

23  28 

22  52 

22  16 

21  41 

21  05 

20  30 

19  55 

19  20 

20 

30 

24  29 

23  55 

23  19 

22  46 

22  12 

21  38 

21  04 

20  31 

19  57 

19  23 

18  51 

18  16 

30 

40 

23  03 

22  31 

21  57 

21  26 

20  53 

20  21 

19  49 

19  18 

18  46 

18  15 

17  43 

17  II 

40 

50 

21  36 

21  05 

20  34 

20  04 

19  33 

19  03 

18  33 

18  03 

17  34 

.17  04 

16  34 

16  04 

60 

10 

OO 

20  c6 

19  37 

19  07 

1839 

18  12 

17  43 

17  15 

16  48 

16  20 

15  52 

15  24 

14  57 

10     00 

lO 

1833 

18  07 

17  40 

17  14 

16  47 

16  21 

15  55 

15  29 

15  04 

14  39 

14  13 

13  47 

10 

20 

16  59 

16  35 

16  II 

15  46 

15  22 

14  59 

14  34 

14  II 

13  46 

13  24 

13  00 

12  37 

20 

30 

15  23 

15  01 

14  39 

14  17 

13  55 

13  32 

13  II 

12  50 

12  28 

12  07 

II  46 

II  25 

30 

40 

13  45 

13  25 

13  05 

12  46 

12  26 

12  06 

II  47 

II  27 

II  08 

10  49 

10  31 

10  II 

40 

SO 

12  06 

II  49 

11  31 

II  13 

10  56 

10  39 

10  21 

10  05 

948 

9  31 

9  14 

857 

50 

11 

OO 

10  25 

10  10 

9  55 

9  40 

9  24 

9  09 

8  54 

8  40 

8  25 

8  II 

7  57 

7  43 

11     00 

^ 

lO 

8  43 

8  30 

8  17 

8  04 

7  52 

7  40 

7  27 

7  15 

7  03 

651 

6  38 

6  26 

10 

20 

7  00 

6  49 

6  39 

6  28 

6  19 

6  09 

5  59 

5  49 

5  39 

5  30 

5  20 

5  10 

20 

30 

5  15 

5  07 

5  00 

4  53 

4  45 

4  37 

4  30 

4  22. 

4  15 

4  08 

4  01 

3  53 

30 

40 

3  30 

3  25 

3  21 

3  15 

3  10 

3  05 

3  00 

2  50 

2  45 

2  41 

236 

40 

50 

I  46 

I  43 

I  40 

1  38 

I  35 

I  33 

I  30 

I  28 

I  25 

I  23 

1  20 

I  18 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitnde,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  west  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  i^outh  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridiaa,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  (leellnatlon  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


104 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  24°. 

DECI^INATION— SAME  NAME  AS- 

-IvATITUDE. 

1.ATITUDE  24°. 

Hour 

Angle. 

60° 

610 

62° 

63° 

64° 

65° 

66° 

67° 

1 
68°  i 

;6»° 

70° 

Hour  Angle. 

li. 

m. 

O   ' 

0  ' 

0  ' 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  ' 

0  ' 

0  / 

It.    m. 

O 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

coo 

0  00 

0  00 

0  00 

0    00 

lO 

2  07 

2  01 

I  54 

I  48 

I  43 

1  37 

I  31 

I  26 

1  21 

I  16 

I  II 

10 

20 

4  14 

4  01 

3  48 

3  35 

3  24 

3  13 

3  01 

2  51 

2  42 

2  31 

2  22 

20 

30 

6  19 

5  59 

5  41 

5  22 

'5  05 

4  48 

4  32 

4  16 

4  01 

3  46 

3  33 

30 

40 

8  22 

7  55 

7  30 

7  07 

6  44 

6  21 

6  01 

5  40 

5  20 

5  °i 

4  42 

40 

50 

10  21 

9  49 

9  18 

8  49 

8  20 

7  53 

7  27 

7  02 

638 

6  14 

5  51 

50 

1 

OO 

12  17 

II  39 

II  03 

10  29 

9  55 

9  33 

852 

8  22 

7  53 

7  25 

6  58 

1     00 

10 

14  08 

13  26 

12  45 

12  05 

J I  26 

10  50 

10  15 

9  40 

9  07 

8  35 

8  04 

10 

20 

15  55 

15  07 

14  22 

13  38 

12  55 

12  14 

II  35 

10  56 

10  19 

9  43 

9  08 

20 

30 

17  36 

16  44 

15  55 

15  07 

14  20 

13  35 

12  52 

12  10 

II  29 

10  48 

10  10 

30 

40 

19  12 

18  17 

17  24 

16  32 

15  41 

14  53 

14  06 

13  20 

12  35 

II  52 

11  10 

40 

60 

20  42 

19  44 

18  47 

17  52 

,  1659 

16  06 

15  16 

14  28 

13  39 

12  52 

12  08 

50 

j  ■ 

2 

OO 

22  07 

21  06 

20  07 

19  09 

18  12 

17  17 

16  24 

1532 

14  41 

13  53 

13  03 

2     00 

lO 

23  27 

22  22 

21  21 

20  20 

19  21 

18  24 

17  27 

16  32 

.1538 

14  46 

13  56 

10 

20 

24  40 

23  34 

22  29 

21  27 

20  26 

19  25 

18  27 

17  30 

16  34 

15  40 

14  45 

20 

30 

2548 

24  40 

23  35 

22  30 

21  27 

20  25 

19  24 

18  25 

17  27 

16  29 

15  33 

30 

40 

26  50 

25  41 

24  33 

23  28 

22  22 

21  19 

20  17 

19  16 

iS  15 

17  16 

16  18 

40  : 

50 

27  47 

26  37 

25  28 

24  21 

23  15 

22  09 

21  05 

20  02 

19  01 

17  59 

17  00 

50 

3 

OO 

28  38 

27  28 

26  18 

25  10 

24  03 

22  56 

21  51 

20  46 

19  43 

18  40 

17  39 

3     00 

lO 

29  25 

28  14 

27  03 

25  54 

24  46 

23  38 

22  32 

21  27 

20  22 

19  18 

18  16 

10 

20 

30  07 

28  55 

27  45 

26  35 

25  26 

24  17 

23  10 

22  04 

20  58 

19  53 

18  49 

20  \ 

30 

30  44 

29  32 

28  21 

27  II 

26  01 

24  52 

23  44 

22  37 

21  31 

20.25 

19  19 

30 

40 

31  16 

30  04 

2853 

27  43 

26  33 

25  24 

24  15 

23  07 

21  59 

20  53 

19  48 

40 

50 

31  44 

30  32 

29  22 

28  II 

27  00 

■  25  51 

24  42 

23  34 

22  26 

21  19 

20  13 

50 

4 

OO 

32  08 

30  57 

29  46 

28  35 

27  25 

26  15 

25  06 

23  58 

22  49 

21  42 

20  35 

4     00 

10 

32  28 

31  16 

30  c6 

28  56 

27  45 

26  35 

25  27 

24  18 

23  10 

22  02. 

20  54 

10 

20 

32  43 

31  32 

30  22 

29  13 

28  03 

26  54 

25  45 

24  35 

23  27 

22  19 

21  II 

20 

30 

32  55 

31  46 

30  36 

29  26 

28  17 

27  07 

25  58 

24  50 

23  42 

22  33 

21  25 

30 

40 

33  04 

32  54 

30  45 

29  36 

28  27 

27  18 

26  10 

25  02 

23  53 

22  45 

21  37 

40 

50 

33  09 

32  00 

30  52 

29  43 

28  35 

27  26 

26  18 

25  10 

24  02 

22  54 

21  47 

50 

5 

OO 

33  II 

32  03 

30  55 

29  47 

28  39 

27  31 

26  24 

25  16 

24  08 

23  01 

21  53 

5     00 

lO 

33  10 

32  02 

30  55 

29  47 

28  41 

27  34 

26  26 

25  19 

24  II' 

23  05 

21  58 

10 

20 

33  05 

31  59 

30  52 

29  46 

2839 

27  3B 

26  26 

25  19 

24  12 

23  05 

21  59 

20 
30 

30 

32  57 

31  52 

30  46 

29  41 

28  35 

27  28 

26  23 

25  17 

24  II 

23  05 

21  59 

40 

32  47 

31  43 

30  38 

29  32 

28  28 

27  22 

26  18 

25  13 

24  07 

23  02 

21  55 

40 

50 

32  34 

31  30 

30  27 

29  23 

28  18 

27  14 

26  10 

25  05 

Jt  00 

22  55 

21  51 

60 

6 

OO 

32  17 

31  15 

30  12 

29  09 

28  06 

27  03 

26  00 

24  56 

23  52 

22  48 

21  43 

6  •  00 

10 

31  59 

30  57 

29  55 

28  53 

27  51 

26  49 

25  46 

24  44 

23  40 

22  37 

21  34 

10  1 

20 

31  37 

30  36 

29  36 

28  35 

27  33 

26  32 

25  31 

24  29 

23  27 

22  25 

21  23 

20  1 
30  j 

30 

31  14 

30  14 

29  14 
28  50 

28  14 

27  14 

26  14 

25  13 

24  13 

23  II 

22  II 

21  10 

40 

30  47 

29  49 

27  51 

26  52 

25  53 

24  54 

23  54 

22  53 

21  54 

20  54 

40  , 

50 

30  19 

29  21 

28  23 

27  26 

26  28 

25  29 

24  32 

23  33 

22  34 

21  35 

20  35 

50  i 

7 

OO 

29  47 

28  51 

27  54 

26  58 

26  01 

25  04 

24  08 

23  10 

22  12 

21  14 

20  16 

7    00  ; 

lO 

29  13 

28  19 

27  23 

26  28 

25  33 

24  37 

23  41 

22  46 

21  49 

20  52 

19  55 

10 

20 

28  38 

27  44 

26  50 

25  56 

25  02 

24  08 

23  13 

22  19 

21  23 

20  27 

19  32 

20 

30 
40 

30 

27  59 

27  07 

26  15 

25  22 

24  29 

23  36 

22  43 

21  50 

20  55 

20  01 

19  07 

40 

27  20 

26  28 

25  37 

24  46 

23  54 

23  03 

22  10 

21  19 

20  25 

19  33 

18  40 

50 

26  37 

25  48 

2458 

24  08 

23  17 

22  26 

21  36 

20  46 

19  55 

19  03 

18  12 

50 

8 

OO 

25  52 

25  04 

24  15 

23  27 

22  38 

21  49 

21  01 

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19  21 

18  31 

17  42 

8     00 
10 
20 

lO 

25  06 

24  19 

23  32 

22  45 

21  58 

21  10 

20  23 

19  36 

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23  32 

22  46 

22  01 

21  15 

20  29 

19  43 

18  57 

18  II 

17  25 

16  38 

30 

23  27 

22  43 

21  59 

21  15 

20  30 

19  46 

19  02 

18  17 

17  32 

16  48 

16  03 

30 
40 
50 

40 

"(22  34 

21  52 

21  09 

20  27 

19  45 

19  02 

18  19 

17  37 

16  53 

16  10 

15  27 

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21  39 

20  59 

20  18 

19  37 

18  57 

18  15 

17  35 

16  55 

16  13 

15  31 

14  50 

8 

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20  43 

20  04 

19  25 

18  47 

18  08 

17  28 

16  49 

16  10 

15  31 

14  51 

14  II 

9     00 
10 
20 
30 
40 
50 

lO 

19  45 

19  08 
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18  31 

17  53 

17  16 

16  39 

16  02 

15  24 

14  46 

14  09 

13  31 

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18  45 

17  35 

16  59 

16  24 

15  48 

15  13 

14  37 

14  02 

13  26 

12  50 

30 

17  43 

17  10 

16  36 

16  03 

15  30 

14  56 

14  23 

13  49 

13  16 

12  42 

12  08 

40 

16  40 

16  08 

1538 

15  06 

14  34 

14  03 

13  31 

13  00 

12  28 

II  57 

II  25 

50 

15  35 

15  06 

14  36 

14  07 

1338 

13  08 

12  39 

12  09 

"  39 

II  10 

10  40 

10 

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14  29 

14  02 

13  35 

13  07 

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12  12 

11  45 

II  17 

10  50 

10  23 

9  54 

10     00 

10  i 

20 

30 

40 

50 

lO 

13  22 

12  56 

12  31 

12  06 

II  41 

II  15 

10  50 

10  25 

9  59 

9  33 

9  08 

20 

12  13 

II  50 

n  27 

II  03 

10  41 

10  17 

9  54 

9  31 

9  08 

8  44 

8  22 

30 

II  03 

10  42 

10  21 

10  00 

9  40 

■  9  18 

858 

8  37 

8  16 

7  54 

7  33 

40 

9  52 

9  34 

9  15 

8  56 

8  37 

8  ig 

8  00 

7  41 

J  ^? 

7  03 

6  45 

50 

8  40 

8  25 

8  08 

7  51 

7  35 

7  18 

7  01 

6  45 

6  28 

6  12 

556 

11 

OO 

7  28 

7  13' 

7  00 

6  45 

631 

6  17 

6  03 

5  49 

5  34 

5  20 

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11     00 
10 
20 
30 
40 

lO 

6  15 

6  02 

5  50 

5  39 

5  27 

5  15 

5  03 

4  51 

4  39 

4  27 

4  16 

20 

5  00 

4  51 

4  41 

4  32 

4  22 

4  12 

4  03 

3  54 

3  44 

3  34 

3  25 

30 

3  45 

3  38 

3  32 

3  24 

3  17 

3  10 

3  02 

2  55 

2  49 

2  41 

2-34 

40 

2  31 

2  25 

2  21 

2  16 

2  12 

2  06 

2  02 

I  58 

I  52 

I  48 

1  43 

50 

1  16 

1  13 

I  II 

I  08 

I  05 

I  03 

I  01 

0  59 

0  56 

0  54 

0  51 

50 
12     00 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latltade,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


105 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  25°. 

DECUNATION- 

SAME  NAME  AS-LATITUDE. 

liATITUDE  25°. 

Hour  Angle. 

24° 

26° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

340 

35° 

Hour  Angle. 

li. 

in. 

o  / 

0  / 

0  r 

0  / 

0  / 

0  / 

0  ' 

0  ' 

0  ' 

0  / 

0  / 

0  f 

b.    m. 

O 

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113  12 

"89'28' 

65  34 

47  47 

36  II 

28  34 

23  21 

1938 

16  50 

14  42 

13  00 

II  36 

10 

20 

lOI  21 

88  57 

76  26 

64  55 

55  04 

4658 

40  27 

35  II 

30  57 

27  29 

24  37 

22  12 

20 

30 

96  46 

88  25 

80  00 

71  51 

64  16 

57  26 

51  23 

•  46  06 

41  32 

37  36 

34  10 

31  II 

30 

40 

94  10 

87  53 

81  33 

75  35 

69  17 

6336 

58  21 

53  32 
^38 

49  09 

45  13 

41  41 

38  29 

40 

50 

92  24 

87  21 

82  15 

77  12 

72  15 

67  28 

62  55 

54  37 

50  53 

47  17 

44  16 

50 

1 

OO 

91  X>z 

8649 

82  33 

78  19 

74  06 

70  01 

66  02 

62  12 

58  35 

55  07 

51  53 

48  49 

1     00 

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89  55 

86  17 

82  37 

78  57 

75  '8 

71  43 

68  13 

64  48 

61  29 

58  19 

55  18 

52  24 

10 

20 

8856 

85  44 

82  32 

79  18 

76  05 

72  54 

69  45 

66  41 

63  41 

6046 

57  56 

55  14 

20 

30 

88  03 

85  12 

82  19 

79  26 

76  34 

73  42 

70  52 

6803 

65  19 

6238 

60  00 

57  28 

30 

40 

87  14 

84  39 

82  03 

79  27 

76  50 

74  14 

71  39 

69  05 

6633 

64  04 

61  38 

59  14 

40 

50 

86  27 

,84  06 

81  43 

79  21 

76  57 

74  33 

72  II 

69  49 

67  29 

65  10 

62  54 

6038 

50 

2 

OO 

85  43 

83  32 

81  21 

79  09 

76  57 

74  45 

72  32 

70  21 

68  10 

66  01 

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f '  45 

2     00 

lO 

85  00 

82  59 

80  57 

78  54 

76  51 

74  48 

72  45 

70  42 

68  40 

66  38 

6438 

62  38 

10 

20 

84  18 

82  25 

80  31 

78  37 

76  41 

74  46 

72  51 

70  55 

69  00 

67  05 

65  12 

63  18 

'       20 

30 

,8336 

81  50 

80  03 

78  16 

76  28 

74  39 

72  50 

71  02 

69  13 

67  25 

65  37 

63  49 

30 

40 

8256 

81  15 

79  35 

77  53 

76  10 

74  29 

72  45 

71  02 

69  20 

67  36 

65  54 

64  12 

40 

50 

82  15 

80  40 

79  05 

77  28 

75  51 

74  14 

72  37 

7058 

69  20 

67  43 

66  05 

64  26 

50 

3 

OO 

81  35 

80  04 

78  33 

77  01 

75  30 

73  57 

72  24 

70  50 

69  17 

67  43 

6609 

6436 

3     00 

lO 

80  55 

79  28 

78  00 

76  33 

75  05 

73  37 

72  07 

70  39 

69  09 

67  40 

66  09 

64  40 

10 

20 

80  14 

7851 

77  28 

76  04 

74  40 

73  14 

71  49 

70  23 

68  58 

67  32 

66  06 

6438 

20 

30 

79  34 

78  14 

76  54 

75  33 

74  II 

72  50 

71  28 

70  06 

6843 

67  20 

6558 

64  34 

30 

40 

78  52 

77  36 

76  18 

75  01 

73  42 

72  24 

71  04 

69  45 

68  25 

67  05 

65  46 

64  25 

40 

50 

78  II 

76  57 

75  42 

74  26 

73  II 

71  55 

70  39 

69  22 

6805 

66  48 

65  30 

64  12 

50 

4 

OO 

77  29 

76  17 

75  05 

73  52 

72  39 

71  25 

70  12 

6857 

67  42 

66  28 

65  13 

^3  57 

4     00 

lO 

76  47 

75  37 

74  26 

73  16 

72  05 

70  53 

69  42 

6830 

67  17 

66  05 

64  52 

6338 

10 

20 

76  04 

74  56 

73  48 

72  39 

71  30 

70  21 

69  II 

68  01 

66  51 

65  40 

64  29 

63  17 

20 

30 

75  20 

74  14 

73  07 

72  00 

70  54 

69  46 

68  37 

67  30 

66  21 

65  12 

64  03 

62  53 

30 

40 

74  36 

73  31 

72  26 

71  21 

70  15 

69  09 

68  03 

6657 

65  50 

6442 

63  35 

62  27 

40 

50 

73  50 

72  47 

71  44 

70  40 

6936 

68  32 

67  27 

66  22 

65  16 

64  10 

63  05 

61  59 

50 

5 

OO 

73  04 

72  02 

71  00 

69  57 

6855 

67  52 

66  48 

65  45 

64  41 

63  37 

62  33 

61  28 

5     00 

lO 

72  17 

71  16 

70  15 

69  14 

68  13 

67  10 

66  09 

65  07 

64  03 

63  00 

61  58 

60  54 

10 

ao 

71  28 

70  29 

68  28 

67  28 

66  28 

65  27 

64  26 

63  25 

62  23 

61  21 

60  20 

20 

30 

70  39 

69  40 

68  41 

67  42 

6643 

65  44 

64  43 

63  44 

62  43 

61  43 

60  43 

59  41 

30 

40 

68  50 

67  52 

6654 

65  55 

64  57 

63  59 

63  00 

62  00 

61  01 

60  02 

59  02 

40 

50 

68  55 

67  59 

67  01 

66  04 

65  07 

64  09 

63  12 

62  13 

61  16 

60  17 

59  19 

58  20 

50 

6 

OO 

68  02 

67  06 

66  09 

65  13 

64  16 

63  19 

62  23 

61  25 

60  29 

59  31 

5834 

57  36 

6     00 

lO 

67  07 

66  II 

65  15 

64  19 

63  24 

62  28 

61  32 

6036 

59  40 

58  43 

57  47 

56  50 

10 

20 

66  09 

65  15 

64  20 

63  25 

62  30 

61  35 

60  39 

59  44 

5848 

57  53 

56  57 

56  01 

20 

30 

65  II 

64  16 

63  22 

62  27 

61  34 

60  39 

59  45 

58  49 

57  55 

57  00 

56  06 

55  10 

30 

40 

64  10 

63  16 

62  22 

61  29 

6036 

59  41 

58  47 

57  53 

57  00 

56  05 

55  11 

54  17 

40 

50 

63  08 

62  14 

61  20 

60  27 

59  34 

5841 

5748 

56  55 

56  02 

5508 

54  16 

53  22 

50 

7 

OO 

62  01 

61  10 

60  17 

59  25 

58  32 

57  40 

5646 

55  54 

55  02 

54  09 

53  17 

52  23 

7     00 

lO 

60  54 

60  03 

59  11 

58-18 

57  26 

56  33 

55  42 

54  51 

53  59 

53  06 

52  15 

51  23 

10 

20 

59  45 

5853 

58  02 

57  10 

56  19 

55  27 

■54  36 

53  44 

52  53 

52  02 

51  11 

50  20 

20 

30 

5833 

57  41 

56  50 

55  59 

55  09 

54  17 

53  27 

52  36 

51  45 

50  55 

50  05 

"^i^ 

30 

40 

57  17 

56  27 

55  36 

54  45 

53  55 

53  05 

52  14 

51  25 

50  35 

49  45 

4856 

48  06 

40 

50 

55  59 

55  09 

54  19 

53  28 

52  39 

51  49 

51  00 

50  10 

49  21 

48  32 

47  44 

46  54 

50 

8 

OO 

54  38 

5348 

5258 

52  08 

51  20 

50  30 

49  41 

48  53 

48  04 

47  16 

46  28 

45  39 

8     00 

lO 

53  13 

52  24 

51  35 

50  45 

4958 

49  09 

48  20 

47  33 

46  45 

45  58 

45  II 

44  23 

10 

20 

51  45 

50  56 

50  08 

49  19 

48  32 

47  44 

46  56 

46  09 

45  22 

44  35 

43  50 

43  03 

20 

30 

50  13 

49  25 

48  37 

47  49 

47  01 

46  15 

45  29 

44  42 

43  55 

43  10 

42  25 

41  39 

30 

40 

4836 

47  49 

47  02 

46  15 

45  29 

44  42 

.43  56 

43  II 

42  26 

41  41 

40  57 

40  12 

40 

50 

46  57 

46  10 

45  23 

44  37 

43  52 

43  06 

42  22 

41  36 

40  53 

40  08 

39  26 

38  42 

50 

9 

OO 

45  12 

44  26 

43  40 

42  54 

42  10 

41  26 

40  42 

39  59 

39  15 

38  32 

37  51 

37  09 

9     00 

lO 

43  23 

42  37 

41  52 

41  08 

40  25 

39  42 

3859 

38  17 

37  34 

36  53 

36  13 

35  32 

10 

20 

41  29 

40  44 

40  01 

39  17 

3835 

37  53 

37  II 

36  31 

35  50 

35  10 

34.31 

33  51 

20 

30 

39  29 

38  47 

38  04 

37  22 

36  42 

36  00 

35  21 

34  41 

34  02 

33  23 

32  45 

32  07 

30 

40 

37  25 

36  44 

36  03 

35  22 

34  42 

34  04 

33  25 

32  47 

32  09 

31  32 

30  55 

30  19 

40 

50 

35  16 

34  36 

33  56 

33  18 

32  40 

32  02 

31  25 

30  49 

30  12 

29  37 

29  C3 

28  27 

50 

lO 

OO 

33  01 

32  23 

31  45 

31  08 

30  3« 

29  56 

29  21 

28  46 

28  12 

27  39 

27  06 

26  33 

10     00 

lO 

30  41 

30  04 

29  29 

28  54 

28  19 

27  46 

27  13 

26  40 

26  08 

25  36 

25  05 

24  34 

10 

20 

28  15 

27  41 

27  08 

26  36 

26  03 

25  31 

25  00 

24  30 

24  00 

23  30 

23  02 

22  33 

20 

30 

25  45 

25  13 

24  41 

24  II 

23  42 

23  J3 

22  43 

22  15 

21  48 

21  21 

20  54 

20  28 

30 

40 

23  08 

22  39 

22  10 

21  42 

21  16 

20  49 

20  23 

19  58 

19  33 

19  08 

18  44 

18  20 

40 

50 

20  27 

20  01 

19  35 

19  II 

1847 

18  22 

17  59 

17  37 

17  14 

16  52 

16  31 

16  10 

50 

11 

OO 

17  41 

17  18 

1656 

16  34 

16  13 

15  52 

15  32 

15  12 

14  53 

14  33 

14  15 

13  56 

11     00 

lO 

14  52 

14  32 

14  12 

13  55 

13  36 

13  18 

13  01 

12  44 

12  28 

12  12 

II  56 

11  40 

10 

20 

II  58 

II  42 

II  26 

11  11 

10  57 

10  42 

10  28 

10  15 

10  01 

9  48 

9  36 

9  23 

20 

30 

9  01 

849 

837 

8  26 

8  14 

8  04 

7  53 

7  43 

7  32 

5| 

7  14 

7  03 

30 

40 

6  03 

5  54 

5  45 

538 

5  31 

5  23 

5  17 

5  09 

5  03 

4  49 

4  43 

40 

«o 

3  02 

2  57 

2  53 

2  49 

2  46 

2  42 

238 

2  35 

2  32 

2  28 

2  25 

2  21 

50 

lis 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Jiorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  form  North  to  West. 

In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


106 


AZIMUTH  OR  TRUE  BEARING. 


liATITlTDE  25°. 

DECLINATION— 

same;  name  as— latitude. 

'  LATITUDE  25°. 

Hour  An 

gle. 

36° 

370 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

b. 

m. 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

c  / 

0  / 

0  r 

0  / 

0  / 

0  / 

b.    m. 

0 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0   00 

0  00 

0  00 

0  00 

0    00 

lO 

10  28 

9  30 

8  41 

758 

7  21 

6  48 

6  19 

5  54 

5  30 

5  09 

4  50 

4  32 

10 

20 

20  og 

18  24 

1653 

15  34 

14  24 

13  21 

12  26 

II  37 

ID  52 

10  II 

9  33 

859 

20 

30 

28  35 

26  18 

24  18 

22  31 

20  55 

19  29 

18  11 

17  01 

1558 

15  00 

14  06 

13  17 

30 

i 

40 

35  38 

33  04 

30  45 

28  40 

26  46 

25  03 

23  28 

22  03 

20  43 

19  31 

18  24 

17  21 

40 

) 

50 

41  21 

38  41 

36  13 

3358 

31  53 

2958 

28  13 

26  35 

25  04 

23  40 

22  22 

21  10 

50 

1 

OO 

45  58 

43  18 

40  47 

38  28 

36  18 

34  17 

32  24 

3038 

29  00 

27  27 

26  01 

24  40 

1     'OO 

lO 

49  40 

47  04 

44  35 

42  16 

40  05 

38  01 

36  03 

34  14 

32  30 

30  52 

29  19 

27  52 

10 

20 

52  37 

50  07 

47  43 

45  26 

43  16 

41  12 

39  14 

37  22 

35  35 

33  53 

32  17 

30  45 

20 

30 

54  59 

52  37 

50  19 

48  05 

45  58 

43  55 

41  58 

40  05 

38  18 

36  34 

34  56 

33  21 

30 

40 

56  54 

54  39 

52  26 

50  18 

48  14 

46  14 

44  19 

42  27 

40  40 

3856 

37  16 

35  40 

40 

50 

58  26 

56  18 

54  11 

52  08 

50  08 

48  II 

46  iS 

44  29 

42  42 

40  59 

39  20 

37  43 

60 

2 

OO 

59  40 

5738 

55  38 

53  40 

51  44 

49  51 

48  01 

46  03 

44  29 

42  47 

41  08 

39  32 

2     00 

lO 

60  40 

58  43 

56  48 

54  54 

53  03 

51  15 

49  28 

47  43 

46  00 

44  20 

42  43 

41  07 

10 

20 

61  26 

59  35 

57  45 

55  57 

54  09 

52  24 

50  40 

48  59 

47  '? 

45  41 

44  05 

42  31 

20 

30 

62  02 

60  17 

58  31 

56  47 

55  04 

53  23 

51  42 

50  03 

48  26 

46  50 

45  16 

43  44 

30 

i 

40 

62  29 

60  49 

5908 

57  27 

55  49 

54  10 

52  33 

50  57 

49  23 

47  49 

46  17 

44  46 

40 

M. 

50 

62  49 

61  12 

59  36 

57  59 

56  24 

54  49 

53  15 

51  42 

50  10 

48  38 

47  09 

45  40 

50 

I    v-.'s 

OO 

63  02 

61  30 

59  57 

58  24 

56  52 

55  20 

53  49 

52  19 

5049 

49  20 

47  52 

46  25 

3     00 

lO 

63  10 

61  41 

60  II 

58  42 

57  12 

55  44 

54  16 

5248 

51  21. 

49  55 

48  28 

47  03 

10 

i 

20 

63  12 

61   46 

60  19 

58  53 

57  27 

56  02 

54  36 

53  10 

51  46 

50  21 

4858 

47  34 

20 

30 

63  10 

61  47 

60  24 

59  00 

37  37 

56  14 

54  51 

53  28 

52  05 

50  43 

49  21 

48  00 

30 

40 

63  04 

61  44 

60  23 

59  02 

57  42 

56  20 

55  00 

53  40 

52  19 

50  59 

49  39 

48  19 

40 

50 

62  54 

61  36 

60  18 

59  00 

57  42 

56  23 

55  05 

53  46 

52  28 

51  10 

49  51 

48  33 

50 

4 

OO 

62  42 

61  25 

60  10 

58  53 

57  38 

56  21 

55  05 

5348 

52  32 

51  15 

49  59 

48  43 

4     00 

10 

62  25 

61  11 

5958 

5844 

57  30 

56  15 

55  00 

53  46 

52  31 

51  17 

50  02 

48  48 

10 

20 

62  06 

60  55 

59  43 

58  30 

57  18 

5606 

54  53 

53  40 

52  27 

51  15 

50  02 

48  48 

20 

30 

61  44 

60  35 

59  24 

58  14 

57  03 

55  52 

54  42 

53  31 

52  19 

51  08 

49  57 

48  46 

30 

40 

61  19 

60  II 

59  03 

57  54 

56  45 

55  36 

54  27 

53  17 

52  08 

50  58 

49  48 

48  38 

40 

60 

60  52 

59  46 

5839 

57  33 

56  25 

55  17 

54  99 

53  01 

51  53 

50  45 

49  36 

48  28 

50 

5 

OO 

60  23 

59  18 

58  12 

57  07 

56  01 

54  5.-. 

53  49 

52  42 

51  35 

50  28 

49  21 

48  14 

6    00 

lO 

59  52 

58  48 

57  43 

56  39 

55  35 

54  30 

53  25 

52  20 

51  14 

50  09 

49  03 

47  58 

10 

20 

59  17 

58  15 

57  12 

56  09 

55  06 

54  03 

52  59 

51  55 

50  51 

49  46 

48  42 

47  37 

20 

30 

58  40 

57  39 

5638 

55  37 

54  35 

53  32 

52  29 

51  27 

50  24 

49  22 

48  18 

47  15 

30 

40 

58  02 

57  02 

56  01 

55  01 

54  °o 

52  59 

51  58 

50  56 

49  55 

48  54 

47  52 

46  49 

40 

60 

57  21 

56  22 

55  23 

54  24 

53  24 

52  24 

51  24 

50  24 

49  23 

48  23 

47  21 

46  21 

50 

6 

00 

5638 

55  40 

54  42 

53  43 

52  45 

51- 47 

50  47 

49  48 

48  49 

47  49 

46  49 

45  49 

6     00 

lO 

55  52 

54  56 

5358 

53  01 

52  03 

51  05 

50  07 

49  10 

48  II 

47  13 

46  14 

45  15 

10 

20 

55  05 

54  09 

53  13 

52  17 

51  20 

50  23 

49  26 

48  28 

47  32 

46  34 

45  36 

44  38 

20 

30 

54  15 

53  20 

52  25 

51  29 

50  33 

49  38 

48  42 

47  45 

46  49 

45  53 

44  56. 

43  59 

30 

40 

53  23 

52  29 

51  34 

50  39 

49  45 

48  50 

47  54 

46  59 

46  05 

45  09 

44  13 

43  17 

40 

50 

52  28 

51  35 

50  41 

49  47 

48  54 

48  00 

47  05 

■  46  II 

45  17 

44  23 

43  28 

42  33 

60 

7 

OO 

51  31 

50  38 

49  46 

48  53 

48  00 

47  07 

46  13 

45  21 

44  27 

43  34 

42  40 

41  47 

7     00 

10 

50  31 

49  39 

48  47 

47  55 

47  04 

46  12 

45  19 

44  26 

43  35 

42  42 

41  50 

40  57 

10 

20 

49  29 

48  38 

47  46 

46  56 

46  05 

45  13 

44  22 

43  31 

42  40 

41  48 

40  57 

40  05 

20 

30 

48  24 

47  35 

46  44 

45  54 

45  04 

44  13 

43  23 

42  32 

41  42 

40  52 

40  02 

39  II 

30 

40 

47  17 

46  27 

4538 

44  48 

43  59 

43  10 

42  20 

41  31 

40  42 

39  53 

39  03 

38  13 

40 

50 

46  06 

45  18 

44  29 

43  41 

42  52 

42  04 

41  16 

40  27 

39  39 

38  51 

38  02 

37  14 

50 

8 

OO 

44  53 

44  04 

43  17 

42  29 

41  43 

40  55 

40  07 

39  20 

3833 

37  46 

36  59 

36  12 

8     00 

lO 

43  36 

42  49 

42  03 

41  16 

40  30 

39  44 

3858 

38  11 

37  26 

36  40 

35  53 

3508 

10 

20 

42  17 

41  31 

40  46 

40  00 

39  15 

38  30 

37  45 

36  59 

36  15 

35  30 

34  45 

34  00 

20 

30 

40  55 

40  10 

39  25 

38  41 

37  56 

37  12 

3628 

35  44 

35  01 

34  18 

33  34 

32  50 

30 

40 

39  29 

38  45 

38  01 

37  18 

36  35 

35  52 

35  09 

34  26 

33  45 

33  02 

32  20 

31  38 

40 

50 

38  00 

37  17 

36  34 

35  53 

35  II 

34  29 

33  47 

33  06 

32  26 

31  45 

31  04 

30  24 

50 

9 

00 

36  27 

35  46 

35  04 

34  24 

33  44 

33  03 

32  23 

31  43 

31  04 

30  24 

29  45 

29  05 

9     00 

lO 

34  51 

34  11 

33  32 

32  52 

32  13 

31  34 

30  55 

30  17 

29  39 

29  01 

28  24 

27  46 

10 

20 

33  12 

32  33 

31  55 

31  17 

30  40 

30  03 

29  25 

28  48 

28  12 

27  35 

27  00 

26  24 

20 

30 

31  29 

30  53 

30  16 

29  39 

29  04 

28  28 

27  52 

27  17 

26  42 

26  07 

25  32 

24  58 

30 

40 

29  43 

29  08 

28  33 

27  58 

27  24 

26  50 

26  i5 

25  43 

25  09 

24  37 

24  04 

23  31 

40 

50 

27  54 

27  20 

26  47 

26  14 

25  41 

25  09 

2438 

24  05 

23  35 

23  03 

22  32 

22^  OT 

50 

lO 

OO 

26  01 

25  30 

24  58 

24  27 

23  56 

23  26 

22  56 

22  26 

21  57 

21  28 

20  58 

20  30 

10     00 

lO 

24  04 

23  34 

23  05 

22  36 

22  08 

21  39 

21  II 

20  43 

20  17 

19  49 

19  22 

18  56 

10 

20 

22  05 

21  38 

21  II 

20  43 

20  17 

19  51 

19  25 

1859 

1834 

18  09 

17  44 

17  19 

20 

30 

20  03 

19  38 

19  12 

18  48 

18  24 

18  00 

17  36 

17  12 

16  49 

16  27 

16  04 

15  42 

30 

40 

17  57 

17  34 

17  12 

16  50 

16  27 

16  07 

15  45 

15  24 

15  03 

14  43 

14  21 

14  01 

40 

60 

15  49 

15  28 

15  09 

14  49 

14  29 

14  10 

13  51 

13  32 

13  14 

12  56 

12  39 

12  20 

50 

11 

OO 

13  39 

13  21 

13  03 

12  46 

12  29 

12  13 

II  56 

II  40 

II  24 

II  08 

10  53 

10  37 

111     00 

lO 

11  25 

II  II 

10  56 

10  42 

10  28 

10  14 

9  59 

9  46 

9  33 

9  19 

9  06 

^53 

10 

20 

9  II 

8  58 

8  47 

8  36 

8  23 

8  12 

8  02 

7  50 

7  40 

7  29 

7  19 

7  08 

20 

30 

6  54 

6  46 

636 

6  28 

6  19 

6  11 

6  01 

5  53 

5  46 

5  37 

5  30 

5  22 

30 

40 

4  37 

4  31 

4  25 

4  19 

4  12 

4  07 

4  01 

3  57 

3  51 

3  45 

3  40 

3  35 

40 

50 

2  19 

2  16 

2  13 

2  09 

2  06 

2  04 

2  01 

I  58 

I  55 

I  53 

I  50 

I  48 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

III  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


107 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  2 

5°. 

DECIvINATION- 

-SAME  NAME  AS-LATITUDE. 

1 
liATITUDE  26°. 

Hour  An 

gle. 

48° 

48° 

50° 

51° 

52° 

53° 

540 

55° 

56° 

57° 

58° 

590 

Hour  Angle. 

Ii. 

in. 

O   ' 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  ' 

la.   ui. 

0 

OO 

0  OO 

0  00 

0  CO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

4  i6 

4  01 

3  47 

3  35 

3  23 

3  12 

3  02 

2  52 

2  42 

2  34 

2  26 

2  19 

10 

20 

8  28 

7  59 

7  32 

7  07 

6  44 

6  22 

6  01 

5  42 

5  24 

5  07 

4  50 

4  35 
6  50 

20 

30 

12  31 

II  49 

II  II 

10  34 

9  59 

9  17 

857 

8  29 

8  02 

.736 

7  12 

30 

40 

16  24 

15  30 

14  40 

13  52 

13  09 

12  27 

II  48 

II  II 

10  37 

10  03 

9  32 

9  02 

40 

50 

20  01 

18  58 

17  59 

17  01 

16  09 

15  19 

14  32 

1348- 

13  05 

12  26 

11  47 

II  ID 

50 

1 

OO 

23  23 

22  II 

21  04 

•20  00 

19  00 

18  02 

17  08 

16  17 

15  28 

14  41 

13  57 

13  14 

1    00 

lO 

26  29 

25  10 

23  57 

22  47 

21  39 

20  37 

19  36 

18  39 

17  44 

16  51 

16  02 

15  13 

10 

20 

29  17 

27  54 

26  37 

25  21 

24  09 

23  01 

21  54 

20  52 

19  51 

18  54 

17  59 

17  07 

20 

30 

31  51 

30  24 

29  02 

27  42 

26  27 

25  14 

24  04 

22  56 

21  53 

20  51 

19  51 

1855 

30 

40 

34  08 

32  39 

31  14 

29  52 

28  32 

27  17 

26  04 

24  53 

23  45 

22  40 

21  36 

20  35 

40 

50 

36  10 

34  39 

33  13 

31  49 

30  27 

2909 

27  53 

26  40 

25  29 

24  20 

23  14 

22  10 

50 

2 

OO 

37  59 

36  27 

35  00 

33  34 

32  12 

30  51 

29  34 

28  18 

27  05 

25  54 

24  45 

23  39 

2    00 

lO 

39  34 

38  04 

3636 

35  10 

33  46 

32  25 

31  05 

29  48 

2833 

27  21 

26  10 

25  00 

10 

20 

40  59 

39  28 

38  01 

36  34 

35  10 

33  49 

32  29 

31  10 

29  54 

2839 

27  27 

26  17 

20 

30 

42  12 

40  43 

39  16 

37  50 

36  25 

35  04 

33  44 

32  24 

31  07 

29  52 

2839 

27  26 

-30 

40 

43  16 

41  48 

40  22 

3857 

37  33 

36  11 

34  50 

33  31 

32  13 

30  57 

2143 

28  30 

40 

50 

44  II 

42  45 

41  19 

39  55 

38  31 

37  10 

35  49 

34  30 

33  13 

31  56 

30  40 

29  27 

50 

3 

OO 

4458 

43  33 

42  09 

40  45 

39  23 

38  02 

36  42 

35  23 

34  05 

32  49 

31  33 

30  19 

3     00 

lO 

45  39 

44  14 

42  52 

41  30 

40  08 

3847 

37  28 

36  10 

34  52 

33  36 

32  20 

31  05 

10 

20 

46  12 

44  48 

43  27 

42  07 

40  46 

39  26 

38  08 

36  50 

35  33 

34  17 

33  01 

31  47 

20 

30 

4638 

45  17 

4358 

42  38 

41  19 

40  00 

38  42 

37  25 

36  08 

34  53 

3338 

32  23 

30 

40 

47  00 

45  40 

44  22 

43  04 

41  45 

40  27 

39  II 

37  54 

36  38 

35  23 

34  09 

32  55 

40 

50 

47  15 

4558 

44  41 

43  24 

42  07 

40  51 

39  35 

38  19 

37  03 

35  49 

34  35 

33  22 

50 

4 

OO 

47  26 

46  10 

44  55 

43  39 

42  23 

41  08 

39  54 

3839 

37  24 

36  II 

34  57 

33  44 

4    00 

lO 

47  33 

46  18 

45  04 

43  49 

42  35 

41  22 

40  08 

3854 

37  40 

36  28 

35  15 

34  03 

10 

20 

47  35 

46  22 

45  09 

43  56 

42  43 

41  30 

40  18 

39  05 

37  53 

3641 

35  29 

34  16 

20 

30 

47  33 

46  22 

45  II 

43  59 

42  46 

41  35 

40  24 

39  12 

38  00 

36  50 

35  39 

34  28 

30 

40 

47  28 

46  18 

4508 

43  57 

42  46 

41  36 

40  26 

39  16 

3805 

3655 

35  45 

34  34 

40 

50 

47  20 

46  ID 

45  02 

43  53 

42  43 

41  34 

40  25 

39  15 

3805 

3656 

35  47 

3438 

50 

5 

OO 

47  06 

45  58 

44  52 

43  44 

42  35 

41  27 

40  20 

39  II 

38  02 

36  54 

35  46 

3438 

5     00 

lO 

46  51 

45  45 

44  39 

43  32 

42  25 

41  18 

40  II 

39  03 

37  56 

36  49 

35  42 

34  34 

10 

20 

46  33 

45  28 

44  22 

43  17 

42  II 

41  06 

39  59 

3853 

37  47 

36  41 

35  34 

3428 

20 

30 

46  II 

45  07 

44  03 

42  58 

41  54 

40  49 

39  45 

38  40 

37  35 

36  30 

35  24 

34  19 

30 

40 

45  46 

44  43 

43  41 

4238 

41  34 

40  30 

39  27 

38  23 

37  19 

36  15 

35  10 

34  06 

40 

50 

45  19 

44  17 

43  16 

42  14 

41  II 

40  09 

39  06 

38  04 

37  01 

3558 

34  55 

33  51 

50 

6 

OO 

44  48 

43  48 

42  48 

41  47 

40  45 

39  44 

3843 

3741 

36  39 

35  37 

34  35 

33  33 

6     00 

lO 

44  16 

43  16 

42  17 

41  17 

40  18 

39  17 

38  17 

37  16 

36  15 

35  15 

34  13 

33  12 

10 

20 

43  41 

42  42 

41  44 

40  45 

39  47 

3848 

3748 

36  49 

35  49 

34  49 

33  49 

32  49 

20 

30 

43  03 

42  05 

41  08 

40  II 

39  12 

38  15 

37  17 

36  18 

35  20 

34  21 

33  21 

32  23 

30 

40 

42  22 

41  26 

40  30 

39  33 

3836 

37  40 

36  42 

35  45 

34  48 

33  51 

32  52 

31  55 

40 

50 

41  38 

40  44 

39  49 

3853 

37  57 

37  01 

36  06 

35  10 

34  14 

33  17 

32  21 

31  24 

50 

7 

OO 

40  52 

39  58 

39  05 

38  II 

37  16 

36  22 

35  27 

34  32 

33  37 

32  42 

31  46 

3050 

7     00 

lO 

40  05 

39  12 

38  18 

37  26 

36  32 

35  39 

34  45 

33  51 

3258 

32  04 

31  C9 

30  15 

10 

20 

39  14 

38  21 

37  30 

3638 

35  46 

34  53 

34  01 

3308 

32  16 

31  23 

30  30 

29  37 

20 

30 

38  20 

37  30 

36  39 

35  40 

34  58 

34  06 

33  15 

32  24 

31  32 

30  41 

29  49 

2857 

30 

40 

37  24 

36  35 

35  45 

34  55 

34  06 

33  16 

32  26 

31  36 

30  46 

29  56 

29  05 

28  15 

40 

SO 

35  26 

35  37 

34  50 

34  01 

33  12 

32  24 

31  36 

30  47 

2958 

29  09 

28  19 

27  30 

60 

8 

OO 

35  25 

34  37 

33,51 

33  03 

32  17 

31  29 

30  41 

29  54 

29  07 

28  20 

27  31 

26  43 

8     00 

lO 

34  22 

33  35 

32  50 

32  04 

31  18 

30  32 

^§  4^ 

29  00 

28  14 

27  28 

26  42 

25  55 

10 

20 

33  16 

32  31 

31  47 

31  02 

30  17 

29  33 

28  48 

28  04 

27  19 

26  34 

25  49 

25  05 

20 

30 

32  08 

31  24 

30  41 

29  57 

29  15 

28  31 

27  47 

27  04 

26  22 

25  38 

24  56 

24  12 

30 

40 

30  56 

30  13 

29  33 

28  51 

28  09 

27  27 

26  46 

26  04 

25  22 

24  41 

2358 

23  17 

40 

50 

29  42 

29  02 

28  22 

27  41 

27  01 

26  21 

25  42 

25  01 

24  21 

23  41 

23  01 

22  21 

50 

9 

OO 

28  26 

27  48 

27  09 

26  30 

25  51 

25  13 

24  35 

23  56 

23  17 

22  39 

22  01 

21  22 

9     00 

lO 

27  08 

26  31 

25  54 

25  17 

24  40 

24  03 

23  25 

22  49 

22  12 

21  35 

20  59 

20  22 

10 

20 

25  47 

25  II 

24  37 

24  01 

23  25 

22  50 

22  15 

21  39 

21  05 

20  30 

19  55 

19  20 

20 

30 

24  24 

23  50 

23  17 

22  43 

22  09 

21  36 

21  02 

20  28 

1956 

19  23 

18  49 

18  17 

30 

40 

22  59 

22  26 

21  55 

21  22 

20  51 

20  19 

19  48 

19  16 

18  45 

18  14 

♦  17  42 

17  II 

40 

50 

21  31 

21  01 

20  31 

20  01 

19  31 

19  01 

18  31 

18  02 

17  32 

17  03 

16  34 

16  05 

50 

10 

OO 

20  01 

19  33 

19  05 

18  37 

18  09 

17  41 

17  13 

16  46 

16  18 

15  51 

15  23 

14  56 

10     00 

lO 

18  29 

18  02 

17  37 

17  10 

16  45 

16  19 

15  53 

15  27 

15  02 

14  37 

14  12 

13  46 

10 

20 

16  55 

163: 

16  07 

15  43 

15  19 

14  55 

14  32 

14  08 

13  46 

13  22 

12  59 

12  36 

20 

30 

15  18 

14  57 

14  36 

14  14 

13  52 

13  30 

13  09 

12  47 

12  27 

12  06 

II  44 

II  24 

30 

40 

13  42 

13  21 

13  02 

12  43 

12  23 

12.03 

II  44 

II  25 

11  07 

10  48 

10  30 

10  II 

40 

50 

12  03 

II  45 

II  28 

II  10 

10  53 

ID  36 

10  19 

10  02 

9  46 

9  30 

9  13 

856 

50 

11 

OO 

10  22 

10  07 

9  52 

9  37 

9  22 

9  07 

853 

8  38 

8  24 

8  ID 

756 

7  41 

11     00 

lO 

8  41 

8  28 

8  15 

8  03 

7  50 

738 

726 

7  14 

7  02 

6  50 

637 

6  26 

10 

20 

657 

6  48 

637 

627 

6  17 

6  07 

5  57 

5  47 

538 

528 

5  19 

5  10 

20 

30 

5  14 

5  06 

4  59 

4  51 

4  44 

4  36 

4  29 

4  21 

4  14 

4  07 

4  00 

3  52 

30 

40 

3  30 

3  25 

3  19 

3  '4 

3  09 

3  04 

2  59 

2  54 

2  49 

2  45 

2  40 

2  35 

40 

50 

I  45 

I  42 

I  40 

I  38 

I  35 

I  32 

I  30 

I  28 

I  25 

I  23 

I  21 

I  18 

50 

13 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  Is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


108 


AZIMUTH  OR  TRUE  BEARING. 


liATlTUDX;  26°. 

DECI^INATION— SAME  NAME  AS— I^ATITUDE. 

liATITUDE:  26°. 

1 

Hour  Angle. 

60° 

61° 

02° 

63° 

64° 

66° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b. 

ni. 

0   ' 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

b.    m. 

O 

OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0   00 

lO 

2  II 

2  03 

I  57 

I  51 

I  44 

I  39 

I  33 

I  27 

I  23 

I  18 

I  12 

10 

20 

4  21 

4  06 

3  53 

3  41 

328 

3  17 

3  06 

2  54 

2  44 

2  35 

2  24 

20 

30 

6  28 

6  08 

5  48 

5  29 

5  II 

4  54 
6  29 

4  37 

4  21 

4  05 

3  50 

3  36 

30 

40 

834 

8  07 

7  41 

7  16 

6  52 

6  07 

5  47 

526 

506 

4  47 

40 

50 

10  36 

10  03 

9  30 

9  00 

831 

8  02 

736 

7  10 

6  44 

6  21 

5  57 

50 

1 

OO 

12  33 

II  54 

II  18 

10  42 

10  08 

9  35 

9  03 

8  31 

8  01 

7  33 

7  05 

1     00 

lO 

1428 

13  43 

13  01 

12  20 

II  40 

II  03 

10  20 

9  51 

9  16 

8  44 

8  12 

10. 

20 

16  16 

15  27 

14  39 

13  54 

13  II 

12  29 

II  47 

II  08 

10  29 

9  53 

9  18 

20 

30 

17  59 

17  06 

16  14 

15  25 

14  37 

13  50 

13  06 

12  22 

II  40 

10  59 

10  20 

30 

40 

19  36 

1839 

17  45 

16  51 

15  59 

15  09 

14  21 

13  34 

12  48 

12  04 

II  21 

40 

50 

21  08 

20  07 

19  09 

18  13 

17  17 

Ifa  24 

15  33 

14  42 

13  53 

13  06 

12  19 

50 

2 

OO 

22  33 

21  30 

20  30 

19  30 

18  32 

17  35 

16  41 

15  47 

14  55 

14  04 

13  15 

2     00 

lO 

23  53 

22  48 

21  44 

20  42 

19  41 

18  42 

17  45 

16  49 

15  54 

15  00 

14  08 

10 

20 

25  07 

24  00 

22  54 

21  49 

20  46 

19  45 

1845 

17  47 

16  49 

15  53 

14  59 

20 

30 

26  15 

25  06 

23  59 

22  53 

21  48 

20  44 

19  42 

18  41 

17  42 

16  44 

15  47 

30 

40 

27  17 

26  07 

24  58 

23  51 

22  44 

21  39 

20  36 

■  19  33 

18  30 

17  31 

16  32 

40 

60 

28  14 

*2y  02 

25  52 

24  44 

23  35 

22  29 

21  24 

20  20 

19  17 

iS  15 

17  14 

60 

3 

OO 

29  06 

27  53 

26  42 

25  32 

24  23 

23  15 

22  10 

21  04 

19  59 

iS  56 

17  54 

3     00 

lO 

29  51 

28  39 

27  27 

26  17 

25  07 

23  59 

22  51 

21  44 

20  38 

19  34 

18  30 

10 

20 

30  33 

29  20 

28  08 

26  57 

25  46 

24  37 

23  29 

22  21 

21  14 

20  08 

19  03 

20 

30 

31  09 

29  56 

28  44 

27  33 

26  21 

25  11 

24  03 

22  55 

21  47 

20  40 

19  34 

30 

40 

31  40 

30  28 

29  16 

28  04 

26  52 

25  42 

24  34 

23  25 

22  16 

21  09 

20  01 

40 

50 

32  08 

30  55 

29  43 

28  32 

27  20 

26  10 

25  01 

23  51 

22  42 

21  34 

20  27 

60 

4 

OO 

32  31 

31  19 

30  07 

2856 

27  44 

26  33 

25  24 

24  14 

23  05 

21  56 

20  49 

4     00 

10 

32  50 

31  38 

30  27 

29  16 

28  05 

26  54 

25  44 

24  34 

23  25 

22  16 

21  09 

10 

20 

33  05 

31  54 

30  43 

29  32 

28  21 

27  II 

26  01 

24  51 

23  42 

22  33 

2.1  25 

20 

30 

33  16 

32  05 

30  55 

29  45 

28  34 

27  24 

26  15 

25  05 

23  56 

22  48 

21  39 

30 

40 

33  24 

32  13 

31  04 

29  55 

28  44 

27  35 

26  26 

25  16 

24  07 

22  58 

21  50 

40 

50 

33  28 

32  19 

31  10 

30  00 

28  51 

27  42 

26  34 

25  24 

24  16 

23  08 

21  59 

60 

5 

00 

33  29 

32  21 

31  12 

30  03 

28  54 

27  46 

2638 

25  29 

24  22 

23  13 

22  05 

5     00 

lO 

33  27 

32  19 

31  12 

30  03 

28  55 

,  27  47 

26  40 

25  32 

24  24 

23  17 

22  09 

10 

20 

33  21 

32  14 

31  08 

30  01 

28  53 

27  46 

26  40 

25  32 

24  24 

23  17 

22  II 

20 

30 

33  13 

32  06 

31  00 

29  55 

28  48 

27  42 

26  36 

25  29 

24  22 

23  16 

22  10 

30 

40 

33  01 

31  56 

30  51 

29  46 

28  40 

27  35 

26  30 

25  24 

24  18 

23  12 

22  06 

40 

50 

32  47 

31  43 

30  39 

29  35 

28  30 

27  25 

26  21 

25  16 

24  II 

23  06 

22  01 

60 

6 

OO 

32  30 

31  27 

30  24 

29  21 

28  17 

27  13 

26  10 

25  06 

24  01 

22  57 

21  53 

6     00 

10 

32  10 

31  09 

30  07 

29  04 

28  01 

26  59 

25  57 

24  53 

23  50 

22  47 

21  43 

10 

20 

31  48 

30  47 

29  46 

28  46 

27  43 

26  42 

25  41 

24  39 

23  36 

22  34 

21  31 

20 

30 

31  23 

30  24 

29  24 

28  24 

27  23 

26  23 

25  22 

24  22 

23  20 

22  19 

21  17 

30 

40 

30  56 

29  58 

28  59 

28  01 

27  01 

26  02 

25  02 

24  02 

23  02 

22  01 

21  01 

40 

50 

30  26 

29  29 

28  32 

27  34 

2636 

25  38 

24  40 

23  41 

22  42 

21  43 

20  43 

60 

7 

OO 

29  54 

2858 

28  03 

27  06 

26  09 

25  12 

24  14 

23  17 

22  20 

21  22 

20  24 

7     00 

lO 

29  20 

28  25 

27  30 

26  35 

25  39 

24  43 

2348 

22  52 

21  55 

20  59 

20  02 

10 

20 

•  28  44 

27  50 

2656 

26  02 

25  07 

24  13 

23  19 

22  24 

21  29 

20  34 

19  38 

20 

30 

28  05 

27  13 

26  20 

25  28 

24  34 

23  41 

22  48 

21  55 

21  01 

20  07 

19  12 

30 

40 

27  24 

26  33 

25  43 

24  51 

23  59 

23  07 

22  16 

21  24 

20  31 

19  39 

18  46 

40 

60 

26  41 

25  51 

25  02 

24  12 

23  22 

22  31 

21  41 

20  50 

20  00 

19  09 

18  17 

50 

8 

OO 

25  56 

25  07 

24  20 

23  32 

22  42 

21  54 

21  05 

20  15 

19  26 

15  36 

17  47 

8     00 

lO 

25  08 

24  22 

23  35 

22  48 

22  01 

21  14 

20  27 

19  39 

18  51 

18  03 

17  15 

10 

20 

24  20 

23  35 

22  49 

22  04 

21  i8 

20  33 

19  47 

19  01 

18  14 

17  28 

16  41 

20 

30 

23  29 

22  45 

22  02 

21  17 

20  33 

19  49 

19  06 

18  21 

17  36 

16  52 

16  07 

30 

40 

22  35 

21  53 

21  II 

20  29 

19  46 

19  04 

18  22 

17  39 

16  56 

16  14 

15  30 

40 

50 

21  41 

21  00 

20  20 

19  39 

18  59 

18  18 

17  38 

16  57 

16  16 

15  35 

14  53 

60 

9 

OO 

20  44 

20  05 

19  27 

18  48 

18  09 

17  30 

16  52 

i5  12 

15  33 

14  53 

14  14 

9     00 

lO 

19  45 

19  08 

18  32 

17  55 

17  17 

16  41 

16  03 

15  26 

14  49 

14  12 

13  34 

10 

20 

18  45 

18  10 

17  35 

17  00 

16  25 

15  50 

15  15 

14  39 

14  04 

13  28 

12  52 

20 

30 

17  43 

17  10 

16  37 

16  04 

15  30 

14  57 

14  24 

13  51 

13  17 

12  43 

12  10 

30 

40 

16  39 

16  ag 

15  38 

15  07 

14  34 

14  04 

13  33 

.13  01 

12  29 

II  57 

II  27 

40 

50 

15  35 

15  06 

14  37 

14  07 

13  38 

13  08 

12  40 

12  10 

II  41 

II  II 

10  42 

60 

lO 

OO 

14  29 

14  01 

13  35 

13  07 

12  40 

12  13 

II  45 

II  19 

10  51 

10  24 

9  56 

10     00 

lO 

13  21 

12  56 

12  31 

f2  06 

II  41 

II  16 

10  51 

ID  25 

10  00 

9  35 

9  10 

10 

20 

12  13 

II  50 

II  27 

II  04 

10  41 

10  18 

9  55 

9  32 

9  08 

845 

823 

20 

30 

II  03 

10  42 

10  22 

10  00 

9  40 

9  19 

8  58 

8  16 

7  55 

7  34 

30 

40 

9  52 

9  33 

9  14 

8  56 

837 

8  19. 

8  00 

7  41 

7  23 

7  04 

6  46 

40 

50 

8  39 

8  24 

8  07 

7  51 

•  7  35 

7  19 

7  02 

6  46 

6  29 

6  13 

556 

60 

11 

OO 

7  28 

7  13 

6  59 

6  45 

6  30 

6  16 

6  03 

5  49 

5  34 

5  21 

506 

11     00 

lO 

6  14 

6  02 

5  50 

5  39 

5  27 

5  15 

5  03 

4  51 

4  40 

4  27 

4  16 

10 

20 

4  59 

4  50 

4  40 

4  31 

4  22 

4  13 

4  03 

3  54 

3  44 

3  35 

3  25 

20 

30 

3  45 

338 

3  31 

3  24 

3  17 

3  10 

3  02 

256 

2  48 

2  41 

2  34 

30 

40 

2  31 

2  26 

2  21 

2  16 

2  12 

2  06 

2  02 

I  58 

I  52 

I  48 

I  43 

40 

50 

I  15 

I  13 

1  10 

I  08 

I  06 

I  04 

I  01 

0  58 

0  56 

0  54 

0  52 

60 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the'  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  Star  is  rising  or  Easf  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  .South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


109 


AZIMUTH  OR  TRUE  BEARING. 


I.ATITUDE  26°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

liATITUDE  26°. 

Hour  An 

gle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

b. 

ni. 

O   ' 

0  f 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

0  f 

0  / 

h.    m. 

O 

OO 

l8o  OO 

180  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

•  0  00 

0  00 

0  00 

0    00 

lO 

130  54 

113  22 

■■8^'27' 

65  23 

47  31 

35  44 

28  19 

23  08 

19  26 

16  40 

14  31 

12  51 

10 

20 

112  45 

loi  24 

8854 

76  18 

64  42 

5448 

46  40 

40  08 

34  54 

30  40 

27  12 

24  21 

20 

30 

104  47 

96  46 

88  21 

79  52 

71  40 

64  01 

5708 

51  04 

45  47 

41  12 

37  15 

33  50 

30 

40 

100  18 

94  09 

8748 

81  25 

75  06 

69  03 

63  20 

58  02 

53  12 

48  49 

44  51 

41  19 

40 

50 

97  19 

92  21 

87  15 

82  07 

77  01 

72  01 

67  12 

62  37 

58  18 

54  16 

5031 

47  05 

50 

1 

OO 

95  08 

90  57 

86  42 

82  24 

7807 

73  53 

69  45 

65  44 

61  54 

58  14 

54  45 

51  30 

1    00 

lO 

93  25 

86  08 

82  27 

7845 

75  05 

71  28 

6756 

64  29 

61  09 

57  57 

54  55 

10 

20 

91  58 

88  48 

85  35 

82  20 

79  05 

75  51 

72  38 

69  28 

66  21 

63  20 

60  24 

57  33 

20 

30 

90  44 

87  53 

85  01 

82  08 

79  13 

76  19 

73  26 

70  33 

67  44 

64  59 

62  15 

59  37 

30 

40 

89  37 

87  03 

84  27 

81  50 

79  12 

76  34 

73  56 

71  20 

6845 

66  12 

63  41 

61  14 

40 

50 

8I36 

86  15 

8353 

81  29 

79  05 

76  40 

74  16 

71  52 

69  29 

67  07 

64  47 

62  29 

50 

2 

OO 

87  39 

85  29 

83  18 

81  06 

7853 

76  40 

74  26 

72  12 

70  00 

67  48 

65  37 

63  28 

2    00 

lO 

8646 

8445 

82  43 

80  40 

78  37 

76  33 

74  29 

72  24 

70  21 

68  17 

66  14 

64  13 

10 

20 

85  55 

84  01 

82  08 

80  14 

78  18 

76  22 

74  25 

72  29 

70  33 

6837 

66  41 

64  46 

20 

30 

85  05 

83  19 

81  32 

79  44 

77  56 

76  07 

74  18 

72  28 

70  38 

6850 

67  00 

65  II 

30 

40 

84  17 

82  37 

8056 

79  15 

77  32 

75  49 

74  06 

72  22 

70  39 

6855 

67  II 

6527 

40 

50 

8330 

81  55 

80  20 

78  43 

77  06 

75  29 

73  51 

72  13 

70  34 

6854 

67  16 

65  37 

50 

3 

OO 

82  44 

81  13 

79  43 

78  II 

76  39 

75  05 

73  32 

71  59 

70  25 

68  50 

67  16 

65  42 

3     00 

lO 

81  58 

80  32 

79  05 

77  38 

76  09 

74  41 

73  II 

71  42 

70  II 

68  42 

67  12 

65  41 

10 

20 

81  13 

79  50 

78  27 

77  03 

75  39 

74  14 

7248 

71  22 

6956 

68  30 

67  03 

6536 

20 

30 

80  28 

7908 

7748 

76  27 

75  07 

73  45 

72  22 

71  00 

69  37 

68  14 

66  50 

65  26 

30 

40 

79  42 

7826 

77  09 

75  51 

74  33 

73  14 

71  54 

70  35 

69  16 

6756 

6634 

65  14 

40 

50 

7858 

77  44 

76  29 

75  14 

73  58 

72  42 

71  26 

70  09 

68  52 

67  34 

66  16 

64  59 

50 

4 

OO 

78  12 

77  01 

75  48 

74  35 

73  22 

72  08 

70  55 

69  40 

68  26 

67  10 

65  55 

64  39 

4    00 

lO 

77  26 

76  16 

75  06 

73  56 

72  45 

71  34 

70  21 

69  09 

67  57 

66  44 

65  31 

64  18 

10 

20 

76  40 

75  32 

74  24 

73  15 

72  06 

70  57 

69  47 

^  37 

67  27 

66  16 

65  05 

63  54 

20 

30 

75  53 

74  47 

73  41 

72  34 

71  26 

70  19 

69  11 

68  03 

6655 

65  45 

64  37 

63  27 

30 

40 

75  06 

74  00 

72  56 

71  51 

70  46 

69  40 

68  >♦ 

67  28 

66  21 

65  14 

64  06 

6258 

40 

50 

74  17 

73  14 

72  II 

71  07 

7003 

69  00 

67  55 

6650 

65  44 

64  39 

63  33 

62  27 

50 

5 

OO 

73  28 

72  26 

71  25 

70  22 

69  19 

68  17 

67  14 

66  10 

6506 

64  03 

62  59 

61  54 

5     00 

lO 

72  38 

71  37 

7"  37 

6936 

68  35 

67  34 

66  31 

65  29 

64  27 

63  24 

62  21 

61  18 

10 

20 

71  47 

70  48 

69  48 

68  49 

67  49 

66  48 

65  47 

64  47 

63  45 

62  44 

61  42 

60  40 

20 

30 

70  55 

69  57 

68  58 

68  00 

67  00 

66  01 

65  01 

64  02 

63  02 

62  02 

61  01 

60  00 

30 

40 

70  02 

69  04 

68  07 

67  09 

66  12 

65  14 

64  15 

63  16 

62  17 

61  17 

60  19 

59  19 

40 

50 

69  07 

68  II 

67  14 

66  17 

65  21 

64  23 

63  25 

62  28 

61  29 

60  32 

59  33 

58  35 

50 

6 

OO 

68  11 

67  15 

66  20 

65  23. 

64  28 

63  32 

62  34 

61  38 

60  41 

59  43 

5847 

57  49 

6    00 

lO 

67  13 

66  19 

65  24 

64  29 

63  33 

62  37 

6i  41 

60  46 

59  49 

58  54 

57  57 

57  01 

10 

20 

66  15 

65  20 

64  26 

63  31 

62  37 

61  42 

60  48 

59  52 

5857 

58  01 

57  06 

56  II 

20 

30 

65  14 

64  20 

63  27 

62  33 

61  39 

60  45 

59  50 

5856 

58  02 

5708 

56  13 

55  18 

30 

40 

64  12 

63  17 

62  25 

61  32 

6038 

59  45 
58  44 

5851 

5758 

57  04 

56  II 

55  17 

54  23 

40 

50 

63  07 

62  15 

61  22 

60  29 

59  36 

57  51 

5658 

56  05 

55  12 

54  19 

53  26 

50 

7 

OO 

62  00 

61  08 

60  16 

59  23 

5831 

57  39 

56  47 

55  55 

55  03 

54  II 

53  19 

52  26 

7    00 

lO 

60  51 

59  59 

5908 

58  16 

57  25 

56  34 

55  41 

54  50 

5358 

53  07 

52  15 

51  24 

10 

20 

59  39 

5848 

57  57 

57  07 

56  15 

55  24 

54  33 

53  43 

52  52 

52  01 

51  10 

50  20 

20 

30 

58  25 

57  34 

56  44 

55  54 

55  03 

54  13 

53  22 

52  33 

51  43 

50  53 

50  02 

4913 

30 

40 

5708 

56  18 

55  28 

54  39 

53  48 

52  59 

52  09 

51  19 

50  30 

49  41 

48  52 

48  03 

40 

50 

55  49 

54  59 

54  10 

53  21 

52  31 

51  42 

50  53 

50  04 

49  15 

48  28 

47  39 

46  50 

50 

8 

OO 

54  25 

53  36 

52  47 

51  59 

51  10 

50  21 

49  34 

48  45 

47  57 

47  10 

46  22 

45  35 

8     00 

lO 

52  59 

52  II 

51  23 

50  35 

49  46 

48  59 

48  12 

47  24 

46  37 

45  51 

45  03 

44  17 

10 

20 

51  30 

50  42 

49  54 

49  07 

48  19 

47  32 

46  45 

4558 

45  13 

44  28 

43  41 

42  55 

20 

30 

49  57 

49  09 

48  22 

47  35 

46  49 

46  03 

45  16 

44  31 

43  46 

43  01 

42  15 

41  31 

30 

40 

48  20 

47  33 

46  46 

46  00 

45  15 

44  30 

43  44 

42  59 

42  15 

41  31 

40  47 

40  03 

40 

50 

4638 

45  53 

45  07 

44  21 

43  36 

42  52 

42  08 

41  24 

40  40 

39  58 

39  15 

3832 

50 

» 

OO 

44  52 

44  08 

43  23 

42  38 

41  54 

41  II 

40  28 

39  45 

39  03 

38  21 

37  39 

3658 

9    00 

lO 

43  03 

42  18 

41  35 

40  51 

40  09 

39  27 

38  44 

38  03 

37  22 

36  41 

36  00 

35  20 

10 

20 

41  08 

40  25 

39  42 

39  01 

38  19 

3738 

36  57 

36  17 

35  37 

34  57 

34  18 

33  39 

20 

30 

3908 

38  26 

37  45 

37  05 

36  24 

35  44 

35  05 

34  26 

33  48 

33  10 

32  32 

31  56 

30 

40 

37  04 

36  23 

35  44 

35  04 

34  25 

33  47 

33  09 

32  32 

31  55 

31  19 

30  42 

30  07 

40 

50 

34  55 

34  16 

33  37 

32  59 

32  22 

31  45 

31  09 

30  34 

29  59 

29  25 

28  50 

28  17 

50 

lO 

OO 

32  41 

32  03 

31*26 

3050 

30  15 

29  40 

29  06 

28  32 

27  59 

27  26 

26  54 

26  22 

10   00 

lO 

30  20 

29  45 

29  10 

2836 

28  02 

27  30 

26  58 

26  25 

25  55 

25  34 

24  53 

24  24 

10 

20 

27  56 

27  22 

26  50 

26  18 

25  47 

25  16 

24  46 

24  16 

23  47 

23  19 

22  51 

22  23 

20 

30 

25  25 

24  55 

24  25 

23  55 

23  27 

22  58 

22  30 

22  03 

21  36 

21  10 

20  44 

20  19 

30 

40 

22  51 

22  22 

21  55 

21  28 

2T  01 

20  36 

20  10 

19  46 

19  21 

1858 

18  34 

18  II 

40 

50 

20  II 

19  45 

19  21 

18  57 

1834 

18  10 

17  47 

17  26 

17  03 

16  43 

16  21 

16  01 

50 

11 

OO 

17  27 

17  05 

16  43 

16  22 

16  01 

15  42 

15  21 

15  03 

14  43 

14  25 

14  07 

13  49 

11     00 

lO 

14  39 

14  20 

14  02 

13  44 

13  27 

13  09 

12  52 

12  36 

12  21 

12  05 

II  49 

II  34 

10 

20 

II  48 

II  32 

II  17 

11  03 

10  48 

10  35 

ID  21 

10  08 

9  55 

9  43 

9  30 

9  18 

20 

30 

853 

8  41 

8  30 

8  19 

8  09 

758 

7  48 

738 

7  28 

7  18 

7  09 

6  59 

30 

40 

5  57 

5  49 

5  41 

5  33 

5  27 

5  20 

5  13 

506 

4  59 

4  52 

4  47 

4  40 

40 

50 

2  59 

2  55 

2  51 

2  47 

2  43 

2  40 

2  37 

2  33 

2  29 

2  27 

2  24 

2  20 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  ri.sing  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  ^ngle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


110 


AZIMUTH  OR  TRUE  BEARING. 


liATITVDE:  26°. 

DECI^INATION- 

SAME  NAME  AS— I^ATITUDE. 

latitude:  26°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

46° 

46° 

47° 

Hour  Angle. 

b.    m. 

o  / 

0  ' 

0  / 

0  / 

0  / 

0  ' 

0  ' 

0  / 

0  ' 

0  ' 

0  1 

0  / 

II.     ni. 

0     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

II  28 

TO  20 

9  22 

833 

7  51 

7  14 

6  42 

6  13 

5  47 

5  25 

5  03 

4  45 

10 

20 

21  56 

19  55 

18  10 

16  40 

15  21 

14  II 

13  10 

12  15 

II  26 

10  41 

10  00 

9  23 

20 

30 

30  52 

28  17 

26  00 

23  59 

22  13 

20  38 

19  13 

17  55 

16  46 

15  42 

14  45 

13  52 

30 

40 

38  08 

35  16 

32  42 

30  23 

28  18 

26  25 

24  42 

23  08 

21  42 

20  24 

19  12 

18  04 

40 

50 

43  54 

4058 

38  17 

35  50 

33  34 

31  30 

29  35 

27  50 

26  12 

24  42 

23  18 

22  00 

50 

1     00 

4825 

45  33 

42  52 

40  22 

38  02 

35  53 

33  51 

31  58 

30  13 

28  34 

27  01 

25  36 

1     00 

10 

52  00 

49  15 

4638 

44  09 

41  49 

39  37 

37  33 

35  36 

33  46 

32  02 

30  24 

28  52 

10 

20 

54  49 

52  12 

49  41 

47  16 

44  59 

42  48 

40  43 

38  45 

36  52 

35  05 

33  24 

31  48 

20 

30 

57  04 

54  34 

52  10 

49  51 

47  37 

45  29 

43  25 

41  28 

39  35 

37  4' 

36  04 

34  24 

30 

40 

58  50 

56  29 

54  12 

51  58 

49  50 

47  45 

45  44 

43  48 

41  56 

40  08 

3824 

36  44 

40 

50 

60  13 

58  01 

55  50 

53  43 

51  39 

49  39 

47  41 

45  47 

43  57 

42  10 

40  27 

3846 

50 

2     00 

61  20 

59  15 

57  10 

55  08 

53  10 

51  14 

49  20 

47  29 

45  41 

43  56 

42  13 

40  34 

2     00 

lO 

62  12 

60  13 

58  15 

56  19 

54  25 

52  33 

50  43 

48  55 

47  10 

45  27 

43  46 

42  08 

10 

20 

62  53 

60  59 

59  07 

57  15 

55  26 

53  39 

51  52 

50  08 

48  25 

46  45 

45  06 

43  29 

20 

30 

63  23 

61  35 

59  48 

58  01 

56  17 

54  33 

52  50 

51  09 

49  30 

47  51 

46  15 

44  40 

30 

40 

63  45 

62  01 

60  19 

5837 

5656 

55  17 

53  37 

52  00 

50  23 

48  47 

47  13 

45  40 

40 

50 

63  59 

62  21 

60  43 

59  04 

57  28 

55  51 

54  16 

52  41 

51  07 

49  34 

48  02 

46  32 

50 

3     OO 

64  08 

62  33 

60  59 

59  26 

57  52 

56  19 

54  46 

53  14 

51  43 

50  13 

48  43 

47  14 

3     00 

lO 

64  10 

62  40 

61  09 

59  39 

58  10 

56  39 

55  10 

53  41 

52  13 

50  44 

49  17 

47  51 

lO 

20 

64  09 

62  42 

61  15 

59  47 

58  21 

56  54 

55  27 

54  01 

52  35 

51  09 

49  44 

48  20 

20 

30 

64  03 

62  39 

61  15 

59  50 

58  27 

57  02 

55  38 

54  15 

52  51 

51  27 

50  05 

48  42 

30 

40 

63  53 

6232 

61  II 

59  49 

58  28 

57  06 

55  45 

14  23 

53  02 

51  40 

50  20 

48  59 

40 

50 

63  40 

62  21 

61  02 

59  43 

58  25 

57  06 

55  46 

54  27 

53  09 

51  49 

50  30 

49  II 

50 

4     OO 

63  24 

62  07 

60  51 

59  35 

58  17 

57  01 

55  44 

54  26 

53  10 

51  53 

50  35 

49  19 

4     00 

lO 

63  04 

61  50 

60  36 

59  22 

58  07 

56  52 

55  37 

54  22 

53  07 

51  52 

50  36 

49  21 

10 

20 

62  42 

61  31 

60  18 

59  05 

57  53 

56  40 

55  27 

54  14 

53  01 

51  47 

50  34 

49  20 

20 

30 

62  18 

6i  07 

59  57 

5846 

57  36 

56  25 

55  14 

54  03 

52  50 

51  38 

50  27 

49  15 

30 

40 

61  50 

60  42 

59  33 

5825 

57  16 

56  06 

54-57 

53  47 

52  37 

51  27 

50  16 

49  07 

40 

50 

61  20 

60  14 

59  07 

57  59 

56  52 

35  45 

54  37 

53  28 

52  20 

51  12 

50  03 

48  54 

50 

5     OO 

60  49 

59  44 

58  39 

57  33 

56  27 

55  20 

54  14 

53  08 

52  01 

50  53 

49  46 

48  39 

5     00 

lO 

60  15 

59  II 

58  07 

57  02 

5558 

54  54 

53  48 

52  43 

51  38 

50  31 

49  26 

48  20 

10 

20 

59  38 

58  36 

57  34 

56  31 

55  27 

54  24 

53  20 

52  16 

51  12 

50  07 

49  03 

4758 

20 

30 

59  00 

57  59 

5657 

55  56 

54  54 

53  52 

52  49 

51  47 

50  44 

49  40 

48  37 

47  34 

30 

40 

58  19 

57  19 

56  18 

55  18 

54  17 

53  16 

52  15 

51  14 

50  13 

49  II 

4809 

4706 

40 

50 

57  36 

56  37 

55  39 

54  39 

53  40 

52  40 

51  39 

50  39 

49  39 

48  39 

47  38 

46  37 

50 

6     OO 

56  52 

55  53 

54  55 

53  57 

52  59 

52  00 

51  01 

50  02 

49  02 

48  03 

47  03 

46  04 

6     00 

lO 

56  04 

55  07 

54  10 

53  13 

52  16 

51  18 

50  20 

49  23 

48  24 

47  25 

46  27 

4528 

10 

20 

55  15 

54  19 

53  22 

52  26 

51  30 

50  33 

49  37 

48  40 

47  42 

46  45 

45  48 

44  6° 

20 

30 

54  23 

53  28 

52  33 

51  38 

50  42 

49  47 

48  50 

47  55 

46  59 

46  02 

45  06 

44  09 

30 

40 

53  29 

52  35 

51  41 

50  46 

49  52 

48  57 

48  03 

47  08 

46  13 

45  17 

44  22 

43  27 

40 

50 

52  33 

51  40 

50  46 

49  53 

49  00 

48  05 

47  12 

46  19 

45  24 

44  30 

43  36 

42  41 

50 

7     OO 

51  34 

50  42 

49  50 

48  57 

48  04 

47  II 

46  19 

*26 

44  33 

43  39 

42  47 

41  53 

7     00 

10 

50  33 

49  41 

48  49 

4758 

47  06 

46  14 

45  23 

44  31 

43  39 

42  47 

41  54 

41  02 

10 

20 

49  29 

4838 

47  48 

46  57 

46  06 

45  16 

44  25 

43  34 

42  43 

41  51 

41  00 

40  09 

20 

30 

48  23 

47  33 

46  43 

45  53 
44  48 

45  04 

44  14 

43  24 

42  34 

41  44 

40  54 

40  04 

3§  ^ 

30 

40 

47  14 

46  25 

45  37 

43  59 

43  09 

42  21 

41  32 

40  43 

39  53 

39  05 

38  16 

40 

60 

46  02 

45  14 

44  26 

4338 

42  50 

42  02 

41  15 

40  27 

39  39 

3851 

3804 

37  16 

50 

8     OO 

44  47 

44  00 

43  14 

42  26 

41  40 

40  53 

40  06 

39  19 

38  33 

37  46 

36  59 

36  13 

8     00 

lO 

43  30 

42  44 

41  58 

41  12 

40  26 

39  40 

3855 

38  09 

37  23 

3638 

35  53 

35  07 

10 

20 

42  K) 

41  25 

40  40 

39  55 

39  10 

38  25 

37  40 

3656 

36  II 

35  27 

34  43 

33  59 

20 

30 

40  47 

40  03 

39  18 

3835 

37  51 

37  07 

36  24 

35  41 

34  57 

34  14 

33  31 

3248 

30 

40 

39  20 

38  37 

37  55 

37  11 

36  29 

35  47 

35  04 

34  22 

33  41 

32  59 

32  17 

31  36 

40 

50 

37  50 

3708 

36  25 

35  44 

35  04 

34  24 

33  42 

33  01 

32  21 

31  40 

31  00 

30  20 

50 

9     OO 

36  17 

35  37 

34  57 

34  16 

33  36 

32  56 

32  17 

31  38 

30  59 

30  19 

29  41 

29  02 

9     00 

lO 

34  41 

34  02 

33  22 

32  44 

32  06 

31  27 

30  49 

30  12 

29  33 

28  55 

28  19 

27  42 

10 

20 

33  02 

32  23 

31  46 

31  09 

30  32 

29  55 

29  18 

28  42 

28  06 

27  30 

2655 

26  19 

20 

30 

31  18 

30  42 

30  06 

29  30 

28  56 

28  21 

27  45 

27  II 

26  35 

26  02 

25  28 

24  54 

30 

40 

29  33 

28  58 

28  23 

27  49 

27  15 

26  41 

26  09 

25  36 

25  03 

24  31 

23  59 

23  27 

40 

50 

27  43 

27  10 

26  38 

26  06 

25  33 

25  01 

24  30 

23  59 

23  28 

22  57 

22  27 

21  57 

50 

lO     OO 

25  50 

25  19 

24  48 

24  18 

23  48 

23  18 

22  48 

22  20 

21  50 

2J  21 

20  53 

20  25 

10     00 

10 

23  55 

23  25 

22  56 

22  28 

22  00 

21  32 

21  05 

20  37 

20  II 

19  44 

19  18 

18  51 

10 

20 

21  56 

21  28 

21  02 

20  36 

20  09 

19  44 

19  18 

18  53 

18  29 

18  04 

17  40 

17  15 

20 

30 

19  53 

19  28 

19  04 

18  40 

18  17 

17  53 

17  29 

17  06 

16  43 

16  21 

15  59 

,  15  37 

30 

40 

17  48 

17  26 

17  04 

16  43 

16  21 

15  59 

1538 

15  18 

14  57 

14  37 

14  18 

1358 

40 

50 

15  41- 

15  22 

15  02 

14  42 

14  23 

14  04 

13  46 

13  28 

13  10 

12  52 

12  34 

12  16 

60 

11     OO 

13  31 

13  14 

12  57 

12  40 

12  24 

12  07 

"  51 

II  36 

II  20 

II  04 

10  49 

10  34 

il     00 

lO 

II  20 

II  05 

ID  51 

10  36 

10  22 

10  09 

9  56 

9  42 

9  29 

9  16 

9  03 

851 

10 

20 

9  05 

8  54 

8  43 

831 

8  20 

8  09 

7  59 

7  47 

7  37 

7  26 

7  15 

706 

20 

30 

6  50 

6  42 

633 

625 

6  16 

6  08 

5  59 

5  52 

5  43 

5  35 

5  28 

5  20 

30 

40 

4  35 

4  28 

4  22 

4  17 

4  li 

4  06 

4  00 

3  55 

3  49 

3  44 

3  39 

3  34 

40 

50 

2  17 

2  15 

2  12 

2  09 

2  06 

2  03 

2  00 

I  58 

I  55 

I  52 

I  50 

I  47 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


Ill 


AZIMUTH  OR  TRUE  BEARING. 


liATlTUDB:  26°. 

DECI^INATION- 

-SAME  NAME  AS— IvATITUDE. 

liATITUDE  26°. 

Hour  An 

gle. 

48° 

49= 

50° 

51° 

<52o 

53° 

64° 

55° 

56° 

57° 

58° 

69° 

Hour  Angle. 

b. 

m. 

o   ' 

0  f 

0  t 

0  ' 

0  / 

0  ' 

0  / 

0  ' 

0  / 

0  > 

0  / 

0  / 

li.    m. 

O 

OO 

0  c» 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

4  27 

4  II 

3  57 

3  43 

3  31 

3  19 

3  07 

2  57 

2  47 

238 

2  30' 

2  22 

10 

20 

8  49 

8  18 

7  50 

7  22 

658 

6  35 

6  13 

5  52 

5  33 

516 

4  59 

4  42 

20 

30 

13  02 

12  17 

II  35 

10  56 

10  20 

9  46 

9  14 

8  44 

8  16 

7  50 

7  24 

7  01 

30 

40 

17  03 

16  05 

15  12 

14  21 

13  35 

12  51 

12  10 

II  31 

10  55 

10  20 

9  48 

9  16 

40 

50 

20  46 

19  39 

18  35 

17  36 

16  40 

1548 

14  59 

14  12 

13.28 

12  46 

12  05 

II  27 

50 

1 

OO 

24  14 

22  59 

21  47 

20  39 

19  35 

1836 

17  39 

16  44 

15  53 

15  05 

14  19 

13  34 

1     00 

lO 

27  23 

26  01 

24  43 

23  30 

22  19 

•ai  13 

20  10 

19  09 

18  12 

17  17 

16  25 

15  36 

10 

20 

30  15 

28  48 

27  25 

26  06 

24  51 

23  39 

22  31 

21  25 

20  23 

19  23 

18  26 

17  31 

20 

30 

32  50 

31  19 

29  53 

28  30 

27  II 

25  55 

24  43 

23  32 

22  25 

21  22 

20  20 

19  20 

30 

40 

35  06 

33  34 

32  05 

30  40 

29  18 

27  59 

26  43 

25  29 

24  19 

23  12 

22  06 

21  02 

40 

50 

37  09 

35  35 

34  05 

32  38 

31  13 

29  52 

2834 

27  18 

26  05 

24  54 

23  45 

22  38 

50 

2 

00 

3857 

37  23 

35  53 

34  24 

32  59 

31  35 

30  15 

28  57 

27  41 

26  28 

25  17 

24  07 

2     00 

lO 

40  31 

3858 

37  27 

35  58 

34  32 

33  08 

31  46 

30  27 

29  10 

27  55 

26  42 

25  30 

10 

20 

41  54 

40  22 

38  51 

,37  22 

35  56 

34  32 

33  09 

31  48 

30  31 

29  14 

27  59 

26  46 

20 

30 

43  07 

41  35 

40  04 

3837 

37  " 

35  46 

34  23 

33  02 

31  44 

30  26 

29  10 

27  56 

30 

40 

44  08 

42  39 

41  10 

39  42 

38  16 

36  52 

35  29 

34  09 

32  49 

31  31 

30  15 

29  00 

40 

50 

45  01 

43  33 

42  05 

40  40 

39  14 

37  51 

3628 

35  07 

3348 

32  30 

31  13 

29  57 

50 

3 

OO 

45  46 

44  19 

42  53 

41  28 

4004 

38  41 

37  20 

35  59 

34  40 

33  22 

32  05 

30  49 

3     00 

lO 

46  24 

44  59 

43  34 

42  II 

40  48 

39  25 

3805 

36  46 

35  26 

3408 

32  51 

31  34 

10 

20 

46  54 

45  32 

44  09 

42  47 

41  24 

40  04 

38  44 

37  24 

36  05 

34  48 

33  31 

32  15 

20 

30 

47  19 

45  58 

44  36 

43  16 

41  55 

40  35 

39  16 

3Z58 

36  40 

35  23 

34  06 

32  50 

30 

40 

47  39 

46  19 

44  59 

43  39 

42  20 

41  02 

39  44 

38  26 

37  10 

35  53 

34  37 

33  21 

40 

50 

47  52 

46  34 

45  16 

43  58 

42  40 

41  23 

40  06 

38  50 

37  34 

36  18 

35  03 

33  48 

50 

4 

00 

48  01 

46  45 

45  28 

44  12 

42  55 

41  39 

40  23 

3908 

37  52 

3638 

35  23 

34  09 

4     00 

lO 

48  06 

46  51 

45  36 

44  21 

43  06 

41  51 

40  37 

39  22 

3808 

36  54 

35  40 

34  27 

10 

20 

48  06 

46  53 

45  39 

44  26 

43  12 

4158 

40  45 

39  32 

38  iS 

37  05 

35  53 

34  39 

20 

30 

48  02 

46  51 

45  39 

44  27 

43  14 

42  01 

40  49 

39  37 

38  25 

37  13 

36  01 

34  49 

30 

40 

47  55 

46  45 

45  34 

44  24 

43  12 

42  01 

40  50 

39  39 

38  28 

37  17 

36  06 

34  55 

40 

50 

47  45 

46  36 

45  26 

44  17 

43  07 

41  58 

40  48 

3938 

3828 

37  18 

36  08 

3458 

60 

5 

OO 

47  30 

46  23 

45  14 

44  07 

4258 

41  50 

40  41 

39  32 

38  23 

37  15 

36  05 

34  57 

5     00 

lO 

47  13 

46  07 

45  00 

43  53 

42  46 

41  39 

40  31 

39  24 

38  16 

3708 

36  00 

34  52 

10 

20 

46  52 

45  48 

44  43 

43  36 

42  31 

41  24 

40  18 

39  12 

3805 

36  59 

35  52 

34  44 

20 

30 

46  30 

45  26 

44  21 

43  17 

42  12 

41  07 

40  03 

38  57 

37  52 

36  46 

35  41 

34  34 

30 

40 

46  03 

45  01 

43  57 

42  54 

41  51 

40  47 

39  43 

38  39 

37  35 

36  31 

3526 

34  21 

40 

50 

45  34 

44  33 

43  31 

42  29 

41  26 

40  25 

39  22 

38  19 

37  15 

36  12 

3508 

34  05 

50 

6 

OO 

45  03 

44  03 

43  02 

42  01 

40  59 

39  58 

3856 

37  55 

36  53 

35  51 

34  48 

33  46 

6     00 

lO 

44  28 

43  29 

42  29 

41  30 

40  30 

39  30 

38  30 

37  29 

3628. 

35  27 

34  25 

33  24 

10 

20 

43  52 

42  54 

41  55 

40  57 

3958 

3859 

38  00 

37  00 

36  00 

35  01 

34  01 

32  59 

20 

30 

43  12 

42  15 

41  18 

40  21 

39  23 

38  25 

37  27 

3628 

35  31 

34  32 

33  32 

32  33 

30 

40 

42  30 

41  35 

40  39 

39  42 

38  46 

37  49 

36  52 

35  55 

3458 

34  00 

33  02 

32  03 

40 

50 

41  46 

40  52 

39  57 

39  01 

3805 

37  10 

36  15 

35  19 

34  23 

33  26 

32  29 

31  32 

50 

7 

OO 

40  59 

40  06 

39  12 

38  18 

37  24 

36  29 

35  35 

34  39 

33  44 

32  49 

31  54 

3058 

7     00 

lO 

40  JO 

39  18 

3824 

37  31 

3638 

35  45 

34  52 

33  59 

33  04 

32  10 

31  ID 

30  22 

10 

20 

39  17 

38  26 

37  35 

36  43 

35  51 

34  59 

34  07 

-  33  15 

32  22 

31  2? 

30  37 

29  43 

20 

30 

3823 

37  33 

36  43 

35  53 

35  01 

34  10 

33  20 

32  28 

31  38 

30  46 

29  55 

29  03 

30 

40 

37  27 

3638 

3548 

34  59 

34  09 

33  19 

32  30 

31  40 

30  51 

30  01 

29  10 

28  20 

40 

50 

36  27 

35  40 

34  51 

34  03 

33  15 

32  27 

31  38 

30  50 

30  02 

29  13 

28  24 

27  35 

60 

8 

OO 

35  25 

34  39 

33  52 

33  06 

32  18 

31  32 

30  44 

29  57 

29  10 

28  23 

27  35 

26  47 

8     00 

lO 

34  21 

33  36 

32  51 

32  05 

31  20 

30  34 

29  48 
28  50 

29  03 

28  17 

27  30 

26  45 

2558 

10 

20 

33  15 

32  31 

31  47 

31  02 

30M8 

29  34 

28  05 

27  21 

26  37 

25  51 

25  07 

20 

30 

32  06 

31  23 

30  40 

29  57 

29  15 

28  32 

27  49 

27  06 

26  23 

25  40 

24  57 

24  15 

30 

40 

30  54 

30  13 

29  31 

28  50 

28  09 

27  27 

26  45 

26  04 

25  23 

24  41 

24  00 

23  19 

40 

50 

29  42 

29  01 

28  21 

27  41 

27  00 

26  21 

25  41 

25  01 

24  21 

23  42 

23  02 

22  22 

50 

9 

OO 

28  23 

27  45 

27  07 

26  29 

25  50 

25  II 

24  34 

23  56 

23  18 

22  40 

22  01 

21  23 

9     00 

lO 

27  04 

26  28 

25  51 

25  14 

24  37 

24  01 

23  25 

22  48 

22  12 

21  35 

20  59 

20  22 

10 

20 

25  44 

25  08 

24  34 

23  58 

23  23 

22  49 

22  14 

21  39 

21  04 

20  30 

19  55 

19  20 

20 

30 

24  20 

23  46 

23  14 

22  40 

22  06 

21  34 

21  01 

20  27 

19  55 

19  22 

18  49 

18  16 

30 

40 

22  55 

22  23 

21  52 

21  20 

20  48 

20  17 

1946 

19  15 

18  44 

18  13 

17  42 

17  II 

40 

50 

21  26 

20  57 

20  27 

19  57 

19  28 

1859 

18  29 

18  00 

17  32 

17  02 

16  33 

16  04 

50 

lO 

OO 

1956 

19  29 

19  01 

18  34 

18  06 

17  39 

17  II 

16  44 

16  17 

15  49 

15  22 

14  55 

10    00 

lO 

18  24 

17  59 

17  33 

17  08 

16  42 

16  16 

15  51 

15  26 

15  01 

14  36 

14  II 

13  46 

10 

20 

16  51 

16  28 

16  03 

15  40 

15  17 

14  53 

14  30 

14  06 

13  44 

13  21 

12  58 

12  35 

20 

30 

15  15 

14  53 

14  32 

14  II 

i3  49 

13  28 

13  07 

12  46 

12  25 

12  04 

II  44 

II  23 

30 

40 

13  38 

13  19 

12  59 

12  40 

12  21 

12  02 

II  43 

II  25 

II  05 

10  47 

10  29 

10  10 

40 

60 

II  59 

II  42 

n  25 

II  08 

10  51 

10  34 

10  18 

10  01 

9  45 

9  28 

9  12 

855 

t    50 

11 

OO 

10  19 

10  04 

9  50 

9  35 

9  20 

9  06 

851 

837 

823 

8  09 

7  55 

7  41 

11     00 

lO 

837 

825 

8  13 

8  01 

7  48 

736 

7  24 

7  12 

7  01 

\t 

6  36 

625 

10 

20 

655 

6  45 

6  36 

6  26 

•  6  16 

6  06 

556 

5  47 

5  37 

5  19 

5  09 

20 

30 

5  12 

5  04 

4  58 

4  50 

4  43 

4  35 

4  28 

4  21 

4  14 

4  07 

3  59 

3  52 

30 

40 

3  28 

3  23 

3  18 

3  13 

3  09 

3  04 

2  59 

2  54 

2  50 

2  44 

2  39 

2  35 

40 

50 

I  44 

I  42 

I  39 

I  37 

I  34 

I  32 

I  29 

I  27 

I  24 

I  22 

I  20 

I  17 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

■ 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


112 


AZIMUTH  OR  TRUE  BEARING. 


liATlTUDE  26^. 

DECIvINATION— SAME  NAME  AS- 

-LATITUDE. 

1 
LATITUDE  26°. 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

66° 

66° 

•67° 

68° 

69° 

70° 

Honr  Angle. 

h. 

m. 

0  / 

0  1 

0  / 

0  1 

0  ' 

0  / 

c   / 

0  / 

0  ' 

0  / 

0  / 

h.    ni. 

O 

OO 

o  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

2  l6 

2  07 

I  59 

1  53 

I  47 

I  41 

I  34 

I  29 

I  24 

I  19 

I  14 

10 

20 

4  27 

4  13 

358 

3  45 

3  33 

3  21 

3  09 

258 

•2  48 

2  37 

2  28 

20 

30 

638 

6  17 

5  57 

5  37 

5  18 

5  00 

4  43 

4  26 

4  II 

3  55 

3  41 

30 

40 

8  47 

8  18 

7  52 

726 

7  01 

638 

6  15 

5  54 

5  32 

5  12 

.4  52 

40 

60 

10  51 

10  17 

9  44 

9  12 

8  42 

8  13 

7  45 

7  18 

6  52 

6  27 

6  03 

60 

1 

OO 

12  53 

12  II 

II  32 

10  56 

10  20 

9  46 

9  13 

8  41 

8  II 

7  41 

7  13 

1     00 

lO 

14  47 

14  02 

13  18 

12  36 

II  55 

II  16 

10  39 

10  02 

9  28 

853 

8  20 

10 

20 

16  38 

1548 

14  59 

14  12 

13  26 

12  43 

12  01 

II  20 

10  41 

10  03 

9  26 

20 

30 

18  23 

17  28 

16  35 

15  43 

14  54 

14  06 

13  20 

12  35 

II  53 

II  II 

10  30 

30 

40 

20  02 

19  03 

18  06 

,  '7  II 

16  18 

15  27 

14  37 

13  48 

13  02 

12  16 

II  31 

40 

50 

21  34 

20  32 

19  32 

1833 

17  37 

16  43 

15  49 

14  57 

14  07 

13  19 

12  30 

60 

2 

OO 

23  01 

21  56 

20  53 

19  52 

18  52 

17  54 

16  57 

16  04 

15  10 

14  18 

13  28 

2     00 

lO 

24  21 

23  14 

22  09 

21  05 

20  02 

19  02 

18  02 

17  05 

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40 

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In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


113 


AZIMUTH  OR  TRUE   BEARING. 


1 

liATITUDE  2T°. 

DECUNATION- 

■9AME  NAME  AS— LATITUDE. 

liAXlTtOE  27». 

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gle. 

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10    00 

lO 

30  00 

29  26 

28  53 

28  20 

27  47 

27  14 

26  43 

26  12 

25  42 

25  12 

24  42 

24  12 

10 

20 

27  37 

27  05 

26  32 

26  02 

25  32 

25  02 

24  32 

24  04 

23  35 

23  07 

22  39 

22  12 

20 

30 

25  08 

24  37 

24  09 

23  40 

23  II 

22  44 

22  18 

21  51 

21  25 

20  59 

20  34 

20  08 

30 

40 

22  34 

22  06 

21  40 

21  14 

20  48 

20  23 

19  58 

19  34 

19  II 

18  47 

18  24 

"18  02 

40 

50 

19  55 

19  31 

19  07 

18  44 

18  21 

17  59 

17  36 

17  15 

16  55 

16  33 

16  13 

15  53 

50 

11 

OO 

17  13 

16  52 

16  30 

16  10 

15  51 

15  31 

15  II 

14  53 

14  34 

14  17 

13  59 

13  41 

11     00 

lO 

14  27 

14  08 

13  52 

13  34 

13  17 

13  01 

12  44 

12  28 

12  13 

11  57 

II  42 

II  28 

10 

20 

'J  38 

n  23 

II  09 

10  55 

10  41 

10  27 

10  14 

10  01 

9  49 

9  37 

9  25 

?  ^ 

20 

30 

8  46 

8  34 

823 

8  13 

8  03 

7  53 

7  42 

7  33 

7  24 

7  13 

7  05 

656 

30 

40 

551 

5  44 

5  37 

5  30 

5  22 

5'f 

5  10 

5  03 

4  56 

4  50 

4  43 

438 

40 

50 

256 

2  53 

2  49 

2  45 

2  41 

238 

2  35 

2  32 

2  28 

2  25 

2  22 

2  19 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Soath  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  ho-ir  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  trie  bearing. 

41224°— IG 8 


114 


AZIMUTH   OR  TRUE    BEARING. 


I.ATITUDE  27°. 

DECUNATION- 

SAME  NAME  AS— LATITUDE. 

I.AXITUDE  27°. 

H 

our  Angle. 

36° 

37° 

38° 

30° 

40° 

41° 

42° 

43' 

440 

46° 

46° 

47° 

Hour  Angle. 

b.     lu. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  t 

0  t 

0  / 

0  / 

0  / 

h.     m. 

0     OO 

0  OO 

0  00 

0  00 

0  GO 

0  00 

0  CO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

12  42 

II  19 

10  II 

9  15 

8  26 

7  45 

708 

6  36 

6  07 

5  41 

5  19 

4  58 

10 

20 

24  05 

21  41 

19  40 

17  56 

16  27 

15  09 

13  59 

12  58 

12  03 

II  15 

10  30 

9  49 

20 

30 

33  30 

30  32 

27  56 

25  41 

23  43 

21  55 

20  20 

18  56 

17  39 

16  30 

15  26 

14  28 

30 

40 

40  56 

37  45 

34  53 

32  19 

30  01 

27  57 

26  03 

24  21 

22  48 

21  22 

20  Oi. 

18  51 

40 

50 

4641 

43  29 

40  33 

37  53 

35  25 

33  09 

31  05 

29  10 

27  25 

25  48 

24  18 

22  54 

50 

1     OO 

51  06 

48  01 

45  08 

42  27 

39  56 

37  37 

35  26 

33  24 

31  32 

29  46 

28  08 

26  35 

1     00 

lO 

54  31 

51  35 

48  48 

46  11 

43  42 

41  22 

39  10 

37  04 

35  07 

33  IS 

31  34 

29  55 

10 

20 

57  10 

54  24 

51  46 

49  14 

46  48 

44  31 

42  19 

40  14 

38  15 

36  23 

34  35 

32  53 

20 

30 

59  14 

56  39 

54  08 

51  43 

49  23 

47  08 

44  59 

42  56 

40  57 

39  04 

37  16 

35  31 

30 

40 

60  50 

58  24 

56  03 

53  45 

51  30 

49  20 

47  15 

45  13 

43  16 

41  24 

39  35 

37  50 

40 

•  60 

62  06 

5948 

57  34 

55  23 

53  14 

51  09 

49  08 

47  09 

45  14 

43  24 

41  36 

39  52 

50 

2     OO 

63  03 

60  54 

58  47 

56  43 

54  40 

52  40 

50  43 

48  49 

46  56 

45  08 

43  22 

41  38 

2    00 

10 

63  48 

61  46 

5946 

57  47 

55  49 

53  54 

52  02 

50  II 

48  22 

46  37 

44  52 

43  10 

10 

20 

64  21 

62  26 

60  32 

5838 

5646 

54  56 

53  07 

51  20 

49  35 

47  51 

46  10 

44  30 

2C 

30 

64  45 

62  55 

61  06 

59  18 

57  31 

55  45 

54  01 

52  18 

50  36 

48  55 

47  16 

4538 

30 

40 

65  01 

63  16 

61  33 

59  50 

5807 

56  26 

54  44 

53  05 

51  26 

49  49 

48  12 

46  37 

40 

50 

65  10 

63  31 

61  51 

60  13 

5834 

56  57 

55  19 

53  43 

52  06 

50  32 

4858 

47  25 

50 

3     OO 

65  14 

63  » 

62  03 

60  28 

5854 

57  20 

5546 

54  13 

52  40 

51  08 

49  36 

48  06 

3     00 

lO 

65  12 

63  40 

62  09 

6038 

59  07 

57  37 

56  06 

54  35 

53  06 

51  36 

5007 

48  39 

10 

20 

6506 

6338 

62  10 

60  42 

59  15 

57  47 

5619 

54  52 

53  25 

51  58 

50  31 

49  06 

20 

30 

64  56 

63  32 

62  07 

60  42 

59  17 

57  52 

5628 

55  03 

5338 

52  15 

50  50 

49  26 

30 

40 

64  43 

63  21 

61  59 

6037 

59  15 

57  53 

56  31 

55  09 

53  47 

52  25 

51  03 

49  41 

40 

50 

64  26 

63  07 

61  48 

60  29 

59  09 

57  49 

56  30 

55  10 

53  50 

52  30 

51  10 

49  51 

50 

4     OO 

64  07 

62  50 

61  34 

60  16 

5859 

57  42 

56  25 

55  07 

53  49 

52  31 

51  13 

49  56 

4     00 

lO 

63  44 

62  29 

61  16 

60  01 

5845 

57  30 

56  15 

55  00 

53  44 

52  29 

51  13 

49  56 

10 

20 

63  19 

62  07 

60  54 

59  42 

58  39 

57  15 

56  02 

54  49 

53  35 

52  21 

51  07 

49  53 

20 

30 

62  52 

61  41 

60  31 

59  20 

5809 

5658 

55  47 

54  35 

53  23 

52  II 

5058 

49  45 

30 

40 

62  22 

61  13 

60  05 

58  55 

57  47 

56  37 

55  27 

54  18 

53  07 

51  57 

50  45 

49  35 

40 

50 

61  50 

60  43 

59  36 

58  28 

57  21 

56  13 

55  06 

53  57 

52  48 

51  40 

50  30 

49  21 

60 

5     OO 

61  16 

60  10 

59  04 

5758 

56  53 

55  46 

54  40 

53  33 

52  26 

51  18 

50  II 

49  04 

5     00 

lO 

60  39 

59  35 

58  31 

57  26 

56  22 

55  17 

54  12 

53  07 

52  01 

50  55 

49  49 

48  42 

10 

20 

60  01 

5858 

57  55 

56  52 

55  50 

54  46 

53  43 

5238 

51  33 

50  29 

49  24 

48  19 

20 

30 

59  20 

58  18 

57  17 

56  16 

55  13 

54  II 

53  09 

52  06 

51  03 

50  00 

4856 

47  53 

30 

40 

58  37 

57  37 

56  37 

55  36 

54  35 

53  35 

52  34 

51  33 

50  31 

49  29 

48  26 

47  24 

40 

50 

57  53 

56  53 

55  55 

54  55 

53  56 

52  56 

51  56 

50  56 

49  56 

4855 

47  54 

46  53 

50 

6     OO 

57  05 

56  07 

55  09 

54  12 

53  13 

52  14 

51  16 

50  16 

49  18 

48  18 

47  18 

46  18 

6     00 

lO 

56  16 

55  19 

54  22 

53  25 

52  28 

51  30 

50  33 

49  35 

48  36 

47  39 

46  40 

45  41 

10 

20 

55  25 

54  29 

53  33 

52  37 

51  41 

50  45 

49  49 

48  51 

47  54 

46  57 

46  00 

45  02 

20 

30 

54  31 

53  37 

52  41 

51  47 

50  52 

49  56 

49  01 

48  06 

47  09 

46  13 

45  17 

44  20 

30 

40 

53  36 

52  42 

51  48 

50  54 

50  00 

49  05 

48  II 

47  16 

46  21 

45  26 

44  32 

43  36 

40 

50 

52  38 

51  45 

50  52 

49  59 

49  06 

48  12 

47  19 

46  25 

45  32 

44  38 

•  43  44 

42  49 

30 

7     OO 

51  38 

5045 

49  54 

49  01 

48  09 

47  17 

46  24 

45  31 

44  38 

43  46 

42  53 

42  00 

7     00 

lO 

50  34 

49  43 

48  53 

48  02 

47  10 

46  19 

45  28 

44  36 

43  44 

42  52 

41  59 

41  07 

10 

20 

49  30 

48  39 

47  49 

46  59 

46  08 

•45  18 

44  27 

43  37 

42  46 

41  55 

41  05 

40  14 

20 

30 

48  22 

47  32 

46  43 

45  54 

45  05 

44  15 

43  26 

4236 

41  46 

40  57 

40  07 

39  17 

30 

40 

47  12 

46  23 

45  36 

44  47 

43  58 

43  10 

42  21 

41  33 

4044 

39  55 

39  07 

38  19 

40 

SO 

45  59 

45  12 

44  24 

43  36 

4249 

42  02 

41  15 

40  27 

39  40 

38  52 

38  05 

37  17 

50 

8     OO 

44  44 

43  56 

43  10 

42  24 

41  37 

40  51 

40  05 

39  18 

38  32 

37  46 

36  59 

36  13 

8     00 

10 

43  26 

42  39 

41  54 

41  08 

40  23 

39  37 

3853 

3807 

37  22 

36  37 

35  52 

35  07 

10 

20 

42  04 

41  19 

40  35 

39  50 

39  05 

38  21 

37  38 

36  54 

36  09 

35  26 

34  42 

3358 

20 

30 

40  40 

3956 

39  13 

3829 

3746 

37  03 

36  20 

35  38 

34  55 

34  12 

33  29 

32  47 

30 

40 

39  13 

38  29 

3748 

37  05 

36  24 

35  42 

35  00 

34  18 

33  37 

32  56 

32,15 

31  34 

40 

60 

37  42 

37  01 

36  19 

35  39 

34  58 

34  18 

33  38 

32  57 

32  17 

31  37 

30  57 

30  17 

50 

9     OO 

36  08 

35  28 

34  48 

34  09 

33  29 

32  50 

32  12 

31  32 

30  54 

30  15 

29  37 

28  59 

9     00 

' 

lO 

34  32 

33  53 

33  14 

32  37 

31  59 

31  21 

30  44 

30  06 

29  29 

28  52 

28  15 

2738 

10 

20 

32  52 

32  14 

31  38 

31  01 

30  24 

29  48 

29  12 

2837 

28  01 

27  25 

26  50 

26  15 

20- 

30 

31  09 

30  33 

29  57 

29  23 

28  48 

28  13 

2738 

27  05 

26  30 

25  57 

25  23 

24  50 

30 

40 

29  22 

28  48 

28  14 

27  41 

27  08 

26  35 

26  02 

25  30 

24  57 

24  26 

23  54 

23  22 

40 

50 

27  33 

27  00 

26  28 

25  57 

25  25 

24  54 

24  23 

23  53 

2^  22 

22  52 

22  22 

21  52 

50 

10     OO 

25  40 

25  09 

24  39 

24  09 

23  40 

23  n 

22  42 

22  14 

21  45 

21  17 

20  48 

20  21 

10     00 

lO 

23  45 

23  16 

22  47 

22  20 

21  53 

21  26 

20  58 

20  31 

20  04 

19  38 

19  12 

18  46 

10 

20 

21  46 

21  20 

2053 

20  28 

20  02 

19  37 

19  12 

18  48 

18  23 

17  59 

17  35 

17  II 

20 

30 

19  44 

19  20 

18  56 

1833 

18  09 

17  47 

17  24 

17  01 

16  39 

16  17 

15  55 

15  33 

30 

40 

17  40 

17  18 

1656 

16  35 

16  15 

15  54 

15  33 

15  13 

14  53 

14  33 

14  14 

13  54 

40 

50 

15  33 

15  14 

14  55 

14  36 

14  17 

13  59 

13  41 

13  23 

13  05 

12  48 

12  30 

12  13 

50 

11     OO 

13  24 

13  08 

12  51 

12  35 

12  19 

12  02 

II  47 

II  31 

II  16 

II  01 

10  46 

10  31 

11     00 

lO 

"  13 

10  59 

10  45 

10  32 

ID  18 

10  05 

9  51 

9  39 

9  26 

9  13 

859 

8  46 

10 

20 

9  01 

849 

8  38 

8  27 

8  16 

8  06 

7  55 

7  44 

7  34 

7  24 

7  13 

7  04 

20 

30 

6  47 

638 

6  29 

6  21 

6  13 

6  05 

5  57 

5  49 

5  41 

5  33 

526 

5  18 

30 

40 

4  34 

4  27 

4  20 

4  14 

4  10 

4  04 

358 

3  53 

3  47 

3  43 

3  37 

3  32 

40 

50 

2  16 

2  13 

2  10 

2  08 

2  05 

2  02 

I  59 

I  56 

I  54 

I  52 

I  49 

I  47 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  nnd 
when  the  »tar  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  .star  is  risings  or  East  of  the  meridian,  the  tabulated  azimuths  are,  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  an(?  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


115 


AZIMUTH   OR   TRUE    BEARING. 


I4ATITUDE:  27°. 

DECLINATION— 

SAME  NAME  AS— I^ATITUDE. 

LATITUDE  27°. 

Hour  Angle. 

48° 

49"^ 

500 

51° 

52= 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

li. 

Ml. 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

.  0  / 

0  / 

0  ' 

0  t 

0  / 

h.    m. 

0 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CX) 

0  00 

0  00 

0  00 

0    00 

10 

4  39 

4  22 

4  06 

3  52 

338 

3  25 

3  14 

3  03 

2  53 

2  43 

2  34 

2  26 

10 

20 

9  13 

8  39 

8  08 

7  40 

7  13, 

6  48 

6  26 

6  04 

5  44 

5  25 

5  07 

4  51 

20 

30 

13  37 

12  48 

12  02 

II  21 

10  42" 

10  06 

9  33 

9  01 

832 

8  03 

7  37 

7  12 

30 

40 

17  45 

16  44 

15  4^ 

14  53 

14  04 

13  18 

12  34 

II  53 

II  14 

10  38 

10  03 

9  31 

40 

50 

21  37 

20  24 

19  17 

18  14 

17  15 

16  19 

15  27 

14  38 

13  51 

13  07 

12  26 

II  45 

50 

1 

00 

25  09 

23  49 

22  32 

21  22 

20  15 

19  II 

18  11 

17  15 

16  21 

15  29 

14  41 

13  55 

1     00 

10 

28  23 

26  55 

25  33 

24  16 

23  01 

21  52 

20  45 

19  43 

18  42 

17  46 

16  51 

15  59 

10 

20 

31  17 

29  45 

28  18 

26  55 

25  36 

24  21 

23  09 

22  01 

20  56 

19  53 

1853 

17  56 

20 

30 

33  53 

32  17 

30  47 

29  20 

2758 

2638 

25  22 

24  09 

23  00 

21  53 

20  49 

19  48 

30 

40 

36  10 

34  34 

33  01 

31  32 

30  07 

28  44 

27  25 

26  08 

24  55 

23  45 

22  37 

21  32 

40 

50 

38  12 

36  35 

35  00 

33  30 

32  03 

3038 

29  16 

27  57 

26  41 

25  28 

24  17 

23  09 

50 

2 

00 

39  59 

38  22 

36  47 

35  16 

33  48 

32  21 

3058 

29  38 

28  19 

27  04 

25  50 

24  39 

2     00 

10 

41  32 

39  55 

38  21 

3650 

35  21 

33  54 

32  30 

31  08 

3948 

28  31 

27  15 

26  02 

10 

20 

42  53 

41  17 

39  44 

38  13 

36  45 

35  17 

33  53 

32  30 

31  09 

29  50 

2833 

27  18 

20 

30 

44  03 

42  29 

40  57 

39  26 

3758 

36  31 

35  06 

33  43 

32  22 

31  02 

29  44 

28  28 

30 

40 

45  03 

43  30 

41  59 

40  30 

39  03 

37  36 

36  II 

3448 

33  26 

32  07 

3048 

29  31 

40 

50 

45  54 

44  23 

42  54 

41  25 

39  59 

3834 

37  09 

3546 

34  25 

33  04 

31  46 

30  28 

50 

3 

00 

46  37 

45  07 

43  40 

42  13 

40  48 

39  23 

37  59 

36  37 

35  16 

33  56 

32  36 

31  19 

3     00 

10 

47  12 

45  45 

44  19 

42  53 

41  29 

40  06 

38  43 

37  22 

36  01 

34  42 

33  22 

32  05 

10 

20 

47  41 

46  15 

44  51 

43  27 

42  04 

40  42 

39  20 

38  00 

36  40 

35  21 

34  02 

32  44 

20 

30 

48  03 

46  40 

45  17 

43  55 

42  33 

41  13 

39  52 

3833 

37  13 

35  54 

34  37 

33  20 

30 

40 

48  20 

4658 

45  37 

44  17 

42  57 

41  38 

40  18 

39  00 

37  41 

36  23 

35  06 

33  50 

40 

50 

48  31 

47  12 

45  52 

44  33 

43  15 

41  57 

40  39 

39  21 

3804 

36  47 

35  31 

34  15 

50 

4 

00 

48  38 

47  21 

46  03 

44  45 

43  28 

42  II 

40  55 

39  39 

3822 

37  06 

3551 

34  35 

4     00 

10 

48  41 

47  25 

46  09 

44  53 

4338, 

42  22 

41  06 

39  50 

3835 

37  22 

•36  06 

34  52 

10 

20 

48  40 

47  24 

46  10 

44  56 

43  42 

42  27 

41  13 

39  59 

3845 

37  31 

36  18 

35  04 

20 

30 

48  34 

47  21 

46  08 

44  55 

43  43 

42  30 

41  16 

40  03 

38  50 

3738 

36  25 

35  13 

30 

40 

48  24 

47  13 

46  01 

44  50 

43  39 

42  27 

41  15 

40  04 

3853 

37  40 

36  29 

35  17 

40 

50 

48  II 

47  01 

45  52 

44  42 

43  32 

42,  21 

41  12 

40  01 

38  50 

37  39 

36  29 

35  19 

50 

5 

00 

47  56 

46  47 

45  39 

44  30 

43  21 

42  13 

41  04 

39  55 

3845 

37  35 

36  26 

35  17 

5     00 

10 

47  37 

46  30 

45  22 

44  15 

43  08 

42  00 

40  52 

39  45 

3836 

37  28 

36  20 

35  II 

10 

20 

47  15 

46  09 

45  03 

43  57 

42  51 

41  45 

4038 

39  32 

38  25 

37  18 

36  10 

35  03 

20 

30 

46  50 

45  45 

4441 

43  36 

42  32 

41  26 

40  20 

39  15 

38  09 

37  04 

35  58 

34  51 

30 

40 

46  22 

45  19 

44  16 

43  13 

42  09 

41  04 

40  01 

3856 

37  52 

3647 

35  42 

34  37 

40 

50 

45  51 

44  49 

4348 

42  45 

41  43 

40  41 

3938 

3834 

37  31 

36  27 

35  23 

34  20 

50 

6 

00 

45  18 

44  17 

43  17 

42  16 

41  15 

40  13 

39  12 

38  10 

37  07 

36  05 

35  02 

33  59 

6     00 

10 

44  43 

43  43 

42  44 

41  44 

40  44 

39  43 

3843 

37  42 

36  41 

35  40 

34  39 

33  37 

10 

20 

'44  05 

43  06 

42  07 

41  09 

40  10 

39  II 

38  12 

37  13 

36  13 

35  13 

34  12 

33  12 

20 

30 

43  24 

42  27 

41  29 

40  32 

39  35 

38  37 

37  39 

36  40 

35  42 

34  43 

33  44 

32  44 

30 

40 

42  41 

.  41  44 

40  48 

39  52 

38  55 

37  59 

37  02 

36  05 

35  07 

34  10 

33  12 

32  14 

40 

50 

41  54 

41  00 

40  05 

39  10 

38  15 

37  19 

3«>  23 

35  27 

34  31 

33  35 

32  39 

31  41 

50 

7 

00 

41  06 

40  12 

39  19 

38  25 

37  31 

36  37 

35  43 

3448 

33  53 

32  57 

32  02 

31  06 

7     00 

10 

40  16 

39  23 

3831 

3738 

3646 

35  52 

34  59 

34  05 

33  12 

32  18 

31  24 

30  29 

10 

20 

39  23 

38  32 

37  40 

3648 

35  57 

35  05 

34  13 

33  21 

32  29 

31  36 

30  44 

29  50 

20 

30 

38  28 

3738 

36  47 

35  57 

35  07 

34  16 

33  25 

32  35 

31  44 

30  52 

30  00 

2909 

30 

40 

37  30 

36  41 

35  52 

35  03 

34  14 

33  24 

32  35 

31  45 

30  56 

30  05 

29  16 

28  25 

40 

50 

36  30 

35  42 

34  55 

3407 

33  18 

32  31 

31  43 

3054 

30  06 

29  17 

28  29 

27  39 

50 

8 

60 

35  27 

34  41 

33  54 

33  07 

32  21 

31  34 

30  47 

30  01 

29  14 

28  26 

27  39 

26  52 

8     00 

10 

34  22 

33  37 

32  52 

32  06 

31  21 

30  36 

2950 

29  05 

28  19 

27  34 

26  48 

26  02 

10 

20 

33  15 

32  31 

31  47 

31  03 

30  20 

29  36 

28  51 

28  08 

27  23 

26  38 

25  55 

25  10 

20 

30 

32  05 

31  22 

30  40 

29  57 

29  14 

2833 

27  50 

27  08 

26  24 

25  42 

24  59 

24  16 

30 

40 

30  53 

30  II 

29  30 

28  49 

28  09 

27  27 

26  46 

26  06 

25  24 

24  43 

24  02 

23  21 

40 

50 

29  39 

28  58 

28  19 

27  39 

27  00 

26  20 

25  41 

25  02 

24  22 

23  42 

23  03 

22  23 

50 

9 

00 

28  21 

27  42 

27  05 

26  27 

25  49 

25  II 

24  33 

23  56 

23  18 

22  40 

22  02 

21  24 

9     00 

10 

27  02 

26  25 

25  49 

25  12 

24  36 

24  00 

23  24 

22  48 

22  12 

21  35 

2059 

20  23 

10 

20 

25  40 

25  06 

24  31 

23  56 

23  22 

22  47 

22  12 

21  39 

21  04 

20  30 

19  55 

19  20 

20 

•  30 

24  17 

23  43 

23  10 

22  37 

22  04 

21  32 

20  59 

20  27 

19  55 

19  21 

18  49 

18  17 

30 

40 

22  52 

22  19 

21  48 

21  17 

20  46 

20  15 

19  45 

19  14 

18  43 

18  12 

17  42 

17  10 

40 

50 

21  23 

20  53 

20  24 

19  54 

19  15 

1856 

18  28 

17  59 

17  30 

17  01 

16  32 

16  04 

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10 

00 

19  54 

19  25 

1858 

18  31 

18  04 

17  36 

17  10 

16  42 

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1549 

15  22 

14  55 

10     00 

10 

18  21 

17  56 

17  30 

17  04 

16  39 

16  14 

15  49 

15  25 

14  59 

14  35 

14  10 

13  46 

10 

20 

16  47 

16  24 

16  OI 

15  37 

15  14 

14  50 

14  28 

14  05 

13  43 

13  20 

12  57 

12  34 

20 

SO 

15  12 

14  51 

14  29 

14  08 

13  47 

13  26 

13  05 

12  45 

12  24 

12  03 

II  43 

II  23 

30 

40 

13  35 

13  15 

12  57 

12  37 

12  19 

12  00 

II  41 

II  23 

II  05 

10  46 

10  28 

10  09 

40 

50 

II  57 

II  39 

II  22 

II  06 

.  10  50 

10  33 

10  17 

10  01 

9  43 

9  28 

9  II 

855 

50 

11 

00 

10  16 

10  01 

948 

9  33 

9  19 

9  04 

8  50 

836 

8  22 

8  08 

7  54 

7  41 

11     00 

10 

8  36 

823 

8  II 

7  59 

7  47 

7  35 

7  23 

7  II 

6  59 

6  48 

637 

6  24 

10 

20 

6  54 

6  44 

6  34 

625 

615 

6  05 

5  56 

5  46 

536 

5  27 

518 

5  09 

20 

30 

5  11 

5  03 

4  56 

4  49 

4  42 

4  34 

4  27 

4  20 

4  13 

4  06 

358 

3  52 

30 

40 

3  28 

3  23 

3  18 

3  13 

308 

3  03 

258 

2  54 

•  2  49 

2  44 

2  40 

2  34 

40 

50 

I  44 

I  42 

I  39 

I  37 

I  34 

I  32 

I  29 

I  27 

i   25 

I  22 

I  20 

I  18 

aO 

12 

00 

0  00 

* 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitade,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sooth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


116 


AZIMUTH  OR  TRUE  BEARING. 


liATITlIDE  27^. 

DECLINATION— SAME  NAME  AS- 

-I.ATITUDE. 

I.ATITUDE  27°. 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

li. 

111. 

o  / 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  ' 

Ii.    ni. 

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0  CX) 

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0  00 

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2  17 

2  10 

2  03 

I  56 

I  49 

I  43 

137 
.3S4 

I  31 

I  26 

I  20 

I  16 

10 

20 

4  34 

4  19 

4  05 

3  50 

338 

3  25 

3  02 

2  51 

2  41 

2  30 

20 

30 

6  48 

6  26 

6  05 

5  45 

5  25 

5  07 

4  49 

4  32 

4  15 

4  00 

3  44 

30 

40 

9  00 

831 

8  02 

736 

7  10 

6  46 

623 

6  00 

5  39 

5  18 

4  57 

40 

50 

II  08 

10  32 

9  58 

9  25 

8  54 

823 

7  55 

7  27 

7  00 

6  34 

6  10 

SO 

1 

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13  II 

12  29 

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10  34 

9  59 

9  24 

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8  20 

7  50 

7  20 

1     00 

10 

15  10 

14  22 

13  36 

12  52 

12  11 

II  30 

10  52 

10  14 

938 

9  03 

8  29 

10 

20 

17  02 

16  09 

15  19 

14  30 

13  44 

12  59 

12  15 

11  33 

10  53 

10  14 

9  36 

20 

30 

18  48 

17  52 

16  57 

16  04 

15  13 

14  24 

13  36 

12  50 

12  06 

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10  41 

30 

40 

20  29 

19  28 

18  29 

17  32 

1638 

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14  53 

14  04 

13  15 

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40 

50 

22  02 

20  58 

19  56 

18  56 

1758 

17  01 

16  06 

15  13 

14  22 

13  32 

12  43 

50 

2 

OO 

23  31 

22  23 

21  17 

20  15 

19  13 

18  15 

17  17 

16  20 

15  25 

14  33 

13  41 

2     00 

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24  51 

23  42 

22  34 

21  28 

20  25 

19  23 

18  21 

17  23 

16  26 

15  29 

14  35 

10 

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26  06 

24  54 

23  44 

22  36 

21  31 

20  27 

19  24 

18  22 

17  23 

16  24 

15  27 

20 

30 

27  14 

26  02 

24  50 

23  40 

22  33 

21  26 

20  21 

19  18 

18  15 

17  15 

16  15 

30 

40 

28  16 

27  02 

25  49 

24  38 

23  30 

22  21 

21  14 

20  09 

19  06 

18  03 

17  01 

40 

50 

29  13 

2758 

26  44 

25  32 

24  22 

23  12 

22  04 

20  57 

19  52 

1847 

17  44 

50 

° 

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30  02 

28  48 

27  34 

26  21 

25  09 

23  58 

22  49 

21  41 

20  35 

19  28 

18  24 

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30  49 

29  33 

28  19 

27  05 

25  52 

24  41 

23  30 

22  22 

21  14 

20  07 

19  00 

10 

20 

31  28 

30  13 

28  58 

27  45 

26  32 

25  20 

24  08 

22  58 

21  50 

20  41 

19  33 

20 

30 

32  04 

30  48 

29  33 

28  19 

27  06 

25  54 

24  42 

23  31 

22  21 

21  12 

20  04 

30 

40 

32  33 

31  19 

30  04 

2849 

27  36 

26  25 

25  12 

24  01 

22  51 

21  40 

20  32 

40 

50 

33  00 

31  45 

30  30 

29  16 

28  03 

26  51 

2538 

24  27 

23  17 

22  06 

20  56 

50 

4 

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33  21 

32  07 

30  52 

29  38 

28  26 

27  13 

26  01 

24  49 

23  39 

22  28 

21  18 

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3338 

32  25 

31  II 

2958 

28  45 

27  33 

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2358 

22  47 

21  37 

10 

20 

33  51 

3238 

31  24 

30  12 

29  00 

27  48 

2636 

25  25 

24  14 

23  04 

21  53 

22  06 

20 

30 

34  00 

32  48 

31  36 

30  24 

29  12 

28  00 

26  49 

25  39 

24  28 

23  17. 

30 

40 

34  06 

32  54 

31  43 

30  32 

29  21 

28  09 

,  26  59 

25  48 

24  38 

23  27 

22  18 

40 

60 

34  08 

32  58 

31  47 

30  36 

29  26 

28  16 

27  05 

25  56 

24  45 

23  35 

22  25 

50 

5 

OO 

34  07 

3258 

31  48 

30  38 

29  29 

28  18 

27  09 

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24  50 

23  40 

22  3I 

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34  03 

32  54 

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30  36 

29  26 

28  18 

27  10 

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24  52 

23  43 

22  34 

10 

20 

33  55 

3248 

31  39 

30  31 

29  24 

28  16 

27  07 

25  59 

24  52 

23  43 

22  34 

20 

30 

33  45 

3238 

31  32 

30  25 

29  18 

28  10 

27  03 

25  55 

24  48 

23  40 

22  33 

30 

40 

33  31 

32  26 

31  20 

30  14 

29  09 

28  02 

26  55 

25  49 

24  42 

23  35 

22  28 

40 

50 

33  15 

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31  06 

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26  45 

25  40 

24  34 

23  28 

22  22 

50 

6 

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32  56 

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28  42 

27  38 

26  33 

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24  24 

23  19 

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32  36 

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29  28 

28  2S 

27  21 

26  18 

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23  07 

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32  13 

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30  09 

29  07 

28  06 

27  04 

26  01 

24  59 

23  57 

22  53 

21  49 

20 

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31  45 

30  45 

29  45 

2844 

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26  43 

25  42 

24  40 

2338 

22  36 

21  34 

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31  16 

30  17 

29  18 

28  19 

27  20 

26  20 

25  19 

24  20 

23  20 

22  19 

21  17 

40 

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30  44 

29  47 

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26  54 

25  55 

24  56 

23  57 

22  59 

21  58 

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50 

7 

00 

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29  15 

28  18 

27  22 

26  26 

25  28 

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20  16 

10 

20 

28  57 

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27  10 

26  16 

25  22 

24  27 

23  33 

22  38 

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2047 

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20 

30 

28  18 

27  25 

26  32 

25  40 

24  47 

23  54 

23  01 

22  07 

21  14 

20  20 

19  25 

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26  44 

25  53 

25  02 

24  II 

23  19 

22  27 

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19  50 

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40 

50 

26  50 

26  02 

25  12 

24  22 

23  32 

22  42 

21  51 

21  01 

20  10 

19  19 

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50 

8 

OO 

26  04 

25  16 

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23  40 

22  52 

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24  26 

23  41 

22  56 

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21  26 

20  40 

19  55 

19  09 

18  23 

17  36 

16  49 

20 

30 

23  33 

22  50 

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19  12 

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40 

22  39 

21  58 

21  17 

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19  10 

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16  21 

15  37 

40 

50 

21  44 

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19  04 

18  24 

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16  22 

15  40 

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50 

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18  34 

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16  07 

15  31 

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14  16 

13  39 

10 

20 

18  46 

18  12 

1738 

17  03 

16  29 

15  53 

15  18 

14  43 

14  08 

13  32 

12  57 

20 

30 

17  44 

17  12 

1638 

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15  34 

15  01 

14  27 

13  54 

13  21 

12  48 

12  14 

30 

40 

16  40 

16  10 

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14  38 

14  07 

13  35 

13  04 

12  33 

12  01 

II  29 

40 

50 

15  35 

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14  08 

13  40 

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12  42 

12  13 

II  44 

II  15 

10  45 

60 

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10  52 

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9  37 

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II  49 

II  27 

II  04 

10  42 

10  19 

9  56 

9  33 

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848 

8  25 

20 

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10  42 

10  21 

10  01 

9  40 

9  19 

858 

8  38 

8  18 

7  57 

736 

30 

40 

9  51 

9  33 

9  14 

856 

838 

8  20 

8  01 

7  43 

7  25 

7  05 

6  47 

40 

50 

8  39 

8  23 

8  07 

7  51 

7  35 

7  18 

7  03 

6  46 

6  30 

6  14 

5  57 

50 

11 

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7  26 

7  12 

658 

6  44 

631 

6  17 

6  03 

5  49 

536 

5  21 

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6  13 

6  01 

5  50 

5  39 

5  27 

5  15 

5  04 

4  52 

4  40 

4  29 

4  17 

10 

20 

4  59 

4  50 

440 

4  32 

4  22 

4  13 

4  03 

3  54 

3  45 

3  35 

3  26 

20 

30 

3  45 

338 

3  31 

3«24 

3  17 

3  09 

3  03 

256 

2  49 

2  41 

2  34 

30 

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2  07 

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I  53 

I  49 

I  43 

40 

50 

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I  13  I 

I  10 

I  08 

I  06 

I  04 

I  01 

0  59 

0  56 

0  54 

0  52 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00, 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  "West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  suppplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


117 


AZIMUTH    OR    TRUE    BEARING. 


I^ATIXUOfi  a8<: 


DECLINATION— SAME  NAME  AS— LATITUDE. 


liATITVDE  28". 


Hour  Angle. 


li. 

O 


lO 


12 


in. 
OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
•iO 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


24° 


25° 


26° 


l8o  OO 

150  07 

130  33 
118  59 
Tii  44 
106  46 

103  08 
100  17 
98  00 
96  04 
94  23 
92  53 

91  33 
90  18 
89  09 
8803 
87  01 
86  01 

8503  1 

84  08  : 
83  12 
8r  18 
81  24 
80  31 

7938 
7846 
77  52 
77  00 
76  06 
75  12 

7418 
73  22 
72  27 
71  30 
70  32 
69  32 

6832 
67  31 
66  27 
65  23 
64  16 
63  08 

61  57 
60  45 

59  30 
58  12 
56  52 

55  30 

54  03 
52  35 
51  03 
49  27 
47  47 
46  05 

44  17 
42  26 
40  30 
38  29 
36  24 
34  15 

32  01 
29  42 
27  19 
24  51 
22  18 
19  41 

17  00 
14  16 
n  29 
839 
5  47 
2  54 
o  00 


180  00  j 

142  43  ; 

122  42  ' 
112  22  I 
106  15 
102  09  I 


99  10 
96  50 

94  55 
93  18 
91  52 
90  35 

89  25 
88  19 
87  17 
86  18 
85  22 
8427 

83  34 
8243 
81  50 
8059 
8008 
79  18 

78  27 
77  37 
76  46 

75  54 
75  03 
74  10 

73  16 
72  23 

71  28 
70  33 
69  35 
6837 

6738 
66  36 
65  34 
64  30 
63  24 
62  16 

61  06 
59  54 
5839 
57  23 
56  03 
54  41 

53  16 
51  48 
50  16 
48  41 
47  03 
45  20 

43  34 
41  43 
39  49 
37  50 
35  46 
33  38 

31  26 
29  09 
26  47 
24  21 
21  52 
19  17 

16  39 
13  58 
II  15 

8  28 

5  39 
2  50 
o  00 


27° 


180  00 
131  21 
113  02 
104  56 
100  21 
97  17 

95  03 
93  15 
91  45 
90  27 

89  18 
88  15 

87  15 
86  19 
85  24 
8432 
8342 
82  52 

82  03 
8i  15 
80  27 
79  39 
7851 
78  04 

77  16 
76  27 
7538 
74  48 
7358 
73  07 

72  14 
71  23 
70  29 
69  34 
6837 
67  41 

66  42 

65  41 
64  41 

63  37 
62  31 
61  24 

60  15 
59  03 
57  49 
56  33 
55  14 
53  53 

52  28 
51  00 
49  29 
47  55 
46  18 

44  36 

42  50 
41  01 
39  08 
37  10 
3508 
33  02 

30  51 
2835 
26  17 
23  54 
21  25 
18  54 

16  19 

13  41 
II  00 
8  17 
5  33 
2  47 
o  00 


180  00 
"3  41 
101  33 
9648 
94  06 
92  14 

90  47 
89  35 
8833 
87  35 
86  41 
8551 

8503 
84  16 
83  30 
82  45 
82  01 
81  16 

80  32 
7948 
79  04 
78  19 
77  34 
76  49 

76  03 
75  17 
74  29 
73  42 
72  53 
72  04 

71  13 
70  22 
69  29 
68  36 
67  41 
66  44 

65  47 
64  47 
63  47 
62  44 
61  39 
60  32 

59  24 
58  13 
57  00 
55  44 
54  26 
53  05 

51  41 
50  14 
48  44 
47  10 
45  33 
43  52 

42  08 
40  19 
38  27 
36  30 
34  31 
32  26 

30  17 
28  03 
25  46 
23  25 
21  00 
18  31 

15  59 
13  25 
10  47 
8  07 
5  26 
2  43 
o  00 


28° 


89  25 
88  50 
88  14 
8739 
87  03 

86  28 
8552 
85  16 
84  40 
84  03 
83  27 

82  50 
82  12 
81  35 
8057 
80  18 

79  39 

79  00 

78  20 

77  39 
7658 
76  16 
75  33 

74  50 
74  06 
73  21 
72  35 


70  II 
69  21 
68  30 
67  37 
66  43 
6548 

64  5i 
63  52 
62  53 
61  50 
60  46 
59  41 

58  33 
57  22 
56  09 
54  55 
53  37 
52  17 

50  53 
49  27 
47  57 
46  25 
44  49 
43  09 

41  25 
3938 
37  47 
35  52 
33  53 
31  50 

29  43 
27  32 
25  17 
2258 
20  35 
18  09 

15  40 
13  08 
10  33 
7  57 
5  19 
2  40 
o  00 


29° 

30° 

0    / 

0    / 

0  00 

0  00 

64.56 

46  57 

75  59 

64  13 

79  36 

71  15 

81  09 

?JP 

81  49 

31° 


82  05 
82  07 
81  58 
81  44 
81  24 
81  01 

80  36 
80  08 
79  39 
79  07 
7835 
78  01 

77  27 
76  51 
76  14 
75  36 
74  57 
74  18  I 

73  37 
72  55 
72  II 
71  28 
70  42 
69  56 

69  09 
68  20 
67  30 
6638 
6546 
64  51 

63  54 

62  57 

61  59 
60  57 

59  53 
58  49 

57  41 
56  31 
55  19 
54  05 
52  48 
51  28 

50  05 
48  40 

47  II 
45  40 
44  04 
42  26 

40  43 
3858 
3708 
35  15 
33  16 
31  15 

29  10 
27  01 
24  48 
22  31 
20  II 
1748 

15  21 
12  52 
10  20 

7  47 
5  12 
2  36 
o  00 


77  44 

78  21 
78  40 
7845 
7843 
7834 

78  20 
78  02 
77  41 
77  17 
7651 
76:23 

75  53 
75  21 
74  48 
74  14 
7338 
73  01 

72  23 
71  43 
71  02 
70  20 

69  37 
6852 

68  06 
67  19 
6630 
65  40 
64  47 
63  54 

62  59 
62  02 
61  04 
60  04 
59  00 
57  57 

56  49 
55  41 
54  30 
53  16 
51  5\ 
5040 

49  18 
47  54 
46  26 

44  55 
43  21 
41  43 

40  02 
38  17 
•36  28 
34  37 
32  40 
30  40 

2837 
26  29 

24  19 
22  04 

19  47 
17  26 

15  02 
12  36 
10  08 
7  37 
5  06 
2  33 
o  00 


o  00 
35  21 

54  12 

63  30 
6834 

71  35 

73  25 

74  37 

75  21 
7548 

76  03 
76  08 

76  05 
75  57 
75  43 
75  27 
75  07 
74  44 

74  19 
7351 
73  23 

72  52 
72  19 
71  45 

71  09 
70  32 
69  53 
69  12 
68  30 
6748 

67  03 
66  17 

65  30 

64  40 

63  49 
6258 

62  04 
61  07 
60  10 

59  10 
5808 

57  05 

55  59 
54  50 
53  41 
5227 

51  12 
49  53 

48  32 
4708 
45  41 
44  II 
4238 
41  01 

.39  21 
37  38 
35  50 
34  00 
32  05 
30  07 

28  05 
26  00 
23  51 
21  39 
19  24 


32°   33° 


O  CO 

27  48 

46  03 

56  32 

62  46 

66  40 

69  13 

70  56 
72  05 

72  52 

73  22 
73  40 

73  49 
73  50 
73  45 
73  36 
73  22 
73  04 

72  44 
72  21 

71  56 
71  28 
7058 
70  27 

69  53 
69  19 
68  42 
68  04 

67  24 
66  42 

66  00 
65  15 
64  29 

63  40 
62  51 
61  59 

61  07 
60  II 
59  15 
58  17 

57  15 
56  13 

5508 
53  59 
52  50 
51  37 
50  23 
49  06 

47  45 
46  22 
44  56 
43  27 
41  54 
40  19 

38  40 
36  57 
35  12 
33  22 
31  29 
29  33 

27  33 
25  30 
23  23 
21  13 
19  01 


1444 

1426 

12  21 

12  06 

9  55 

9  43 

7  28 

7  19 

4  59 

4  53 

2  .30 

2  27 

0  00 

0  00 

o  00 

22  41 

39  30 

50  25 

57  24 

62  00 

6508 

67  20 

68  52 

^  57 

70  42 

71  14 

71  33 
71  44 
71  47 
71  44 
71  36 
71  24 

71  09 
70  50 
70  28 
70  04 
6938 
6909 

68  38 
68  06 
67  31 

6655 
66  17 

65  37 

6456 
64  12 

63  28 
62  41 
61  52 
61  02 

60  10 

59  16 

58  21 
57  22 
56  22 
55  20 

54  17 
53  09 
52  00 

50  49 
49  35 
48  18 

46  59 
45  37 
44  II 
42  43 
41  12 
39  37 

37  59 
36  18 
34  34 
32  46 
3054 
29  00 

27  02 
25  01 
22  56 
20  48 

1837 
16  24 

14  09 
II  51 
9  31 
7  10 
4  47 
2  24 
o  00 


34° 


35° 


19  01 

34  17 

45  06 
5231 
5738 

61  14 
^3  50 

65  42 

67  05 
6805 

68  48 

69  18 

69  37 
69  48 
69  52 
69  51 
6945 

69  34 
69  19 
69  01 
68  41 
68  17 
67  51 

67  23 
6652 

66  21 
65  46 
65  10 
64  31 

63  52 
63  10 

62  26 
61  41 
60  53 
60  05 

59  13 
58  20 
57  26 
56  29 
-55  29 
54  29 

53  25 
52  19 
51  II 
50  00 
48  47 
47  32 

46  13 
44  51 
43  27 
42  00 
40  29 
3856 

37  19 

35  39 
33  57 
32  10 
30  20 
28  28 

26  31 
24  32 
22  29 

20  24 
18  16 
16  05 

13  51 
II  36 
9  20 
7  01 
4  41 
2  21 
o  00 


o  00 

16  18 

30  04 

40  30 

48  05 

53  33 

57  31 
60  27 
6238 

64  15 

65  29 

66  23 

67  03 
67  31 

67  50 

68  00 
6805 
68  04 

6758 
6748 
67  33 
67  15 
6655 

60  33 

66  07 
65  39 
65  08 
64  36 
64  02 
63  25 

62  47 
62  07 

61  24 
60  40 
59  54 
5906 

58  16 
57  25 
56  31 
55  34 

54  36 
53  36 

52  33 
51  28 
50  21 

49  II 
4758 
46  44 

45  26 
44  06 
42  42 

41  17 
39  47 
38  15 

36  39 
35  00 
33  19 

31  34 
29  46 
27  55 

26  01 
24  03 
22  02 
19  59 

17  54 
15  45 

13  35 
II  22 

9  07 
6  52 

i^ 

O  00 


Hoar  Ansle. 


10 


11 


12 


m. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  Jiorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West.    • 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


118 


AZIMUTH    OR  TRUE    BEARING. 


L.ATITUDE  28°. 

DECLINATION- 

-SAME  NAME  AS— IvATITUDE. 

liATITUBE  28°. 

Sour  An 

gle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

440 

45° 

46° 

47° 

Hour  Angle. 

h. 

m. 

o   / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

U.    lu. 

O 

OO 

O  00 

0  00 

0  00 

0  00 

"  0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0     00 

lO 

14  11 

12  32 

II  II 

10  03 

9  07 

8  19 

738 

7  01 

6  29 

6  01 

5  35 

5  13 

10 

20 

26  37 

2348 

21  25 

19  25 

17  42 

16  13 

14  54 

13  46 

12  45 

II  51 

II  03 

10  iS 

20 

30 

3633 

3309 
40  33 

30  II 

27  36 

25  21 

23  22 

21  37 

20  02 

1837 

17  22 

16  13 

15  10 

30 

40 

44  06 

37  22 

34  30 

31  57 

29  39 

27  34 

25  41 

23  59 

22  26 

21  01 

19  a 

40 

50 

49  45 

46  16 

43  04 

40  08 

37  28 

35  00 

32  45 

30  40 

28  46 

27  01 

25  24 

23  54 

50 

1 

OO 

54  00 

50  42 

47  36 

44  41 

42  00 

39  30 

37  09 

3458 

3258 

31  04 

29  19 

27  41 

1     00 

10 

57  13 

54  06 

51  09 

48  22 

45  44 

43  14 

40  54 

38  41 

3636 

34  39 

32  4^ 

31  04 

10 

20 

59  3S 

56  45 

53  59 

51  19 

48  46 

46  21 

44  02 

41  49 

39  44 

37  45 

35  51 

34  04 

20 

30 

61  30 

58  49 

56  13 

53  41 

51  15 

48  54 

46  40 

44  29 

42  25 

40  26 

38  32 

36  43 

30 

40 

62  56 

60  25 

5758 

55  36 

53  17 

51  01 

48  50 

46  44 

44  42 

42  44 

40  50 

39  02 

40 

SO 

64  01 

61  40 

59  22 

57  06 

54  54 

52  45 

50  39 

4837 

46  37 

44  43 

42  50 

41  03 

50 

2 

OO 

64  50 

62  38 

60  28 

58  20 

56  14 

54  II 

52  10 

50  12 

48  16 

46  24 

44  34 

42  48 

2     00 

lO 

65  26 

63  22 

61  20 

59  18 

57  18 

55  20 

53  24 

51  30 

49  38 

47  48 

46  02 

44  17 

10 

20 

65  52 

63  55 

61  58 

60  03 

58  09 

56  16 

54  24 

52  35 

50  47 

49  01 

47  16 

45  34 

20 

30 

66  10 

64  19 

62  28 

6038 

5850 

57  01 

55  14 

53  28 

51  45 

50  02 

48  20 

46  40 

30 

40 

66  19 

64  34 

62  49 

61  04 

59  20 

57  37 

55  53 

54  12 

52  31 

50  51 

49  13 

47  35 

40 

50 

66  23 

64  43 

63  02 

61  22 

59  42 

5803 

56  24 

54  46 

53  08 

51  32 

49  56 

48  21 

50 

S 

00 

66  21 

64  46 

63  09 

61  33 

59  57 

58  22 

56  47 

55  12 

53  38 

52  05 

50  31 

49  00 

3     00 

10 

66  16 

64  44 

63  II 

61  39 

60  07 

5835 

57  03 

55  32 

54  01 

52  30 

50  59 

49  30 

10 

20 

66  05 

64  37 

6308 

61  39 

60  10 

5842 

57  13 

55  45 

54  17 

52  49 

51  21 

49  55 

20 

30 

65  51 

64  26 

63  01 

61  35 

60  10 

58  44 

57  19 

55  52 

54  27 

53  02 

51  36 

50  12 

30 

40 

65  33 

64  12 

62  50 

61  27 

60  04 

5841 

57  18 

55  56 

54  33 

53  10 

51  47 

50  24 

40 

50 

65  13 

63  55 

62  35 

61  15 

59  55 

5835 

57  15 

55  54 

54  33 

53  12 

51  52 

50  32 

50 

4 

OO 

64  50 

63  34 

62  17 

60  59 

59  42 

58  24 

57  06 

55  48 

54  29 

53  II 

51  52 

50  34 

4     00 

lO 

64  25 

63  10 

6i  56 

60  40 

59  25 

58  10 

56  55 

5538 

54  22 

5S  06 

51  49 

50  33 

10 

20 

63  57 

62  45 

61  32 

60  19 

59  05 

57  52. 

5638 

55  24 

54  10 

52  56 

51  42 

50  27 

20 

30 

63  26 

62  16 

61  06 

59  54 

5843 

57  32 

56  20 

5508 

53  56 

52  43 

51  31 

50  17 

30 

40 

62  54 

61  46 

60  36 

59  28 

58  19 

57  09 

5558 

54  48 

5338 

52  27 

51  16 

50  05 

40 

50 

62  19 

61  12 

60  05 

5858 

57  51 

56  42 

55  34 

54  26 

53  17 

52  07 

5058 

49  49 

50 

5 

OO 

61  42 

60  37 

59  31 

5826 

57  20 

56  13 

55  07 

54  00 

52  53 

51  45 

50  37 

49  29 

5     00 

lO 

61  04 

60  00 

58  55 

57  51 

56  47 

55  42 

54  37 

53  31 

52  26 

51  20 

50  13 

49  07 

10 

20 

60  22 

59  20 

58  17 

57  15 

56  II 

55  08 

54  05 

53  01 

51  57 

50  51 

49  47 

48  42 

20 

30 

59  39 

58  39 

57  38 

5636 

55  34 

54  32 

53  30 

52  27 

51  24 

50  21 

49  18 

48  14 

30 

40 

5^54 

57  55 

56  55 

55  55 

54  54 

53  53 

52  53 

51  51 

50  50 

49  47 

48  45 

47  43 

40 

50 

58  08 

.57  10 

56  10 

55  II 

54  12 

53  13 

52  13 

51  12 

50  13 

49  12 

48  II 

47  10 

50 

6 

OO 

57  ^9 

56  22 

55  24 

54  26 

53  28 

52  30 

51  31 

50  32 

49  33 

48  34 

47  34 

46  34 

6     00 

lO 

56  28 

55  32 

54  35 

5338 

52  41 

51  45 

50  47 

49  49 

4^51 

47  52 

46  54 

45  55 

10 

20 

55  35 

54  41 

53  45 

5248 

51  53 

50  56 

50  00 

49  03 

48  06 

47  09 

46  12 

45  15 

20 

30 

54  40 

53  46 

52  52 

51  57 

51  01 

50  07 

49  II 

48  16 

47  20 

46  23 

45  27 

44  32 

30 

40 

53  43 

52  49 

51  56 

51  02 

50  08 

49  14 

48  20 

47  25 

46  31 

45  36 

44  41 

43  46 

40 

50 

52  43 

51  51 

5058 

50  06 

49  12 

48  19 

47  26 

46  33 

45  39 

44  45 

43  51 

42  57 

50 

7 

OO 

51  41 

50  50 

4958 

49  07 

48  14 

47  23 

46  30 

4538 

44  46 

43  53 

43  00 

42  07 

7     00 

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50  37 

49  47 

48  56 

48  05 

47  14 

46  23 

45  32 

44  41 

43  50 

42  57 

42  06 

41  15 

10 

20 

49  31 

48  41 

47  51 

47  01 

46  II 

45  20 

44  31 

43  41 

42  51 

42  00 

41  09 

40  19 

20 

30 

48  22 

47  34 

46  45 

45  55 

45  06 

44  17 

43  28 

42  39 

41  50 

41  01 

40  II 

39  21 

30 

40 

47  11 

46  23 

45  35 

44  47 

4358 

43  II 

42  22 

41  34 

40  47 

39  58 

39  09 

38  22 

40 

50 

45  57 

45  10 

44  22 

43  36 

42  49 

42  02 

41  15 

40  28 

39  40 

3853 

38  06 

37  19 

50 

8 

OO 

4440 

43  54 

43  07 

42  21 

41  35 

40  50 

40  03 

39  18 

58  33 

37  46 

37  00 

36  14 

8     00 

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43  20 

42  36 

41  50 

41  05 

40  21 

39  35 

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38  06 

37  21 

3636 

35  52 

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10 

20 

41  58 

41  14 

40  30 

39  47 

39  03 

38  19 

37  35 

36  52 

36  08 

35  25 

34  41 

3358 

20 

30 

40  32 

39  50 

39  07 

38  24 

37  42 

36  59 

36  17 

35  35 

34  53 

34  10 

3328 

32  47 

30 

40 

39  05 

3823 

37  41 

37  00 

36  18 

35  37 

3456 

34  15 

33  35 

32  53 

32  13 

31 32 

40 

60 

37  34 

36  53 

36  13 

35  32 

34  52 

34  12 

33  32 

32  53 

32  13 

31  33 

30  54 

30  15 

50 

9 

00 

35  59 

35  21 

34  41 

34  01 

33  23 

32  45 

32  06 

31  28 

30  50 

30  12 

29  34 

28  57 

9     00 

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34  22 

33  45 

33  06 

32  29 

31  52 

31  15 

30  37 

30  01 

29  24 

28  48 

28  12 

27  36 

10 

20 

32  42 

32  06 

31  29 

30  53 

30  17 

2942 
28  06 

29  07 

28  32 

27  56 

27  21 

26  46 

26  12 

20 

30 

30  59 

30  23 

29  49 

29  15 

28  40 

27  33 

26  59 

26  25 

25  52 

25  20 

24  47 

30 
40 
50 

40 

29  12 

2839 

28  05 

27  32 

27  00 

26  28 

25  56 

25  24 

24  53 

24  21 

23  49 

23  19 

50 

27  23 

26  51 

26  20 

25  49 

25  18 

24  47 

24  17 

23  46 

23  17 

22  47 

22  18 

21 49 

lO 

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25  30 

25  00 

24  31 

24  02 

23  33 

23  05 

22  36 

22  07 

21  40 

21  12 

20  44 

20  17 

10     00 
10 

lO 

23  35 

23  07 

22  39 

22  12 

21  45 

21  19 

20  52 

20  25 

19  59 

19  33 

19  08 

18  43 

20 

21  36 

21  II 

20  45 

20  20 

19  55 

19  30 

19  07 

18  42 

18  18 

17  54 

17  31 

17  08 

20 

30 

19  36 

19  12 

18  49 

18  25 

18  03 

17  40 

17  18 

1656 

16  34 

16  12 

15  51 

15  30 

30 

40 

17  32 

17  II 

16  49 

16  28 

16  09 

15  48 

15  28 

15  08 

14  49 

14  29 

14  09 

13  51 

40 

50 

15  25 

15  07 

14  48 

14  30 

14  II 

•  13  54 

13  36 

13  18 

13  01 

12  44 

12  27 

12  10 

50 

11 

OO 

13  18 

13  02 

12  45 

12  29 

12  14 

II  58 

II  43 

II  27 

II  12 

10  58 

10  43 

10  29 

11     00 

lO 

11  08 

10  54 

10  41 

10  27 

10  14 

10  01 

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9  35 

9  22 

9  10 

857 

8  46 

10 

20 

856 

8  45 

835 

823 

813 

8  03 

7  52 

7  42 

7  31 

7  22 

7  II 

7  01 

20 

30 

6  43 

635 

6  27 

6  18 

6  II 

6  03 

5  54 

5  47 

5  39 

5  32 

5  24 

5  17 

30 

40 

4  30 

4  24 

4  18 

4  13 

4  07 

4  02 

3  57 

3  52 

3  47 

3  42 

3  37 

3  32 

40 
50 

50 

2  15 

2  12 

2  09 

2  06 

2  03 

2  01 

I  59 

I  56 

I  53 

I  51 

I  48 

I  46 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

p  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


119 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  28% 

DECI.INATION— 

SAME  NAME  AS— LATITUDE. 

L.ATITCJDE  28°. 

Hour  An 

gle. 

•48° 

49° 

50° 

51° 

52° 

53° 

54° 

65° 

56° 

57° 

58° 

59° 

Hoar  Angle* 

b. 

m. 

0      ' 

0    / 

0    ' 

0    / 

0    / 

0    / 

0    ' 

0    ' 

0    / 

0    / 

0    / 

0   _/ 

b.          m. 

O 

OO 

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0  00 

0  00 

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0  00 

0  00 

0  00 

0  00 

0  00 

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lO 

4  52 

4  34 

4  17 

4  Of 

3  47 

3  33 

3  20 

3  09 

258 

2  49 

239 

2  30 

10 

20 

9  38 

9  02 

8  29 

758 

7  29 

7  °3 

6  39 

6  16 

5  55 

5  35 

5  16 

4  59 

20 

30 

14  13 

13  20 

12  33 

11  48 

II  07 

10  28 

9  52 

9  20 

848 

8  18 

7  50 

7  24 

30 

40 

18  31 

17  26 

16  24 

15  27 

1435 

1345 

13  00 

12  16 

II  36 

10  57 

10  21 

9  47 

40 

50 

22  30 

21  13 

20  01 

18  54 

17  52 

16  53 

1558 

15  06 

14  17 

13  30 

12  47 

12  05 

50 

1 

OO 

26  09 

24  43 

23  23 

22  07 

20  56 

19  49 

18  46 

17  46 

16  50 

1556 

15  05 

14  18 

1          00 

lO 

29  26 

27  54 

2627 

25  05 

23  47 

22  33 

21  24 

20  18 

19  14 

18  15 

17  18 

16  25 

10 

20 

32  23 

30  46 

29  14 

27  46 

26  24 

25  06 

23  50 

22  39 

21  30 

20  25 

19  23 

18  24 

20 

30 

34  59 

33  19 

31  45 

30  14 

28  47 

27  25 

26  05 

24  50 

23  37 

22  27 

21  20 

20  17 

30 

40 

37  17 

35  37 

34  00 

32  27 

3058 

29  32 

28  10 

26  50 

25  33 

24  20 

23  10 

22  03 

40 

50 

39  18 

37  37 

35  59 

34  25 

32  54 

31  26 

30  02 

28  40 

27  21 

26  05 

2451 

23  41 

50 

2 

OO 

41  03 

39  23 

37  45 

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34  39 

33  10 

31  43 

30  20 

29  00 

27  41 

26  25 

26  35 

2          00 

lO 

42  35 

40  56 

39  18 

37  43 

36  12 

34  43 

33  16 

31  51 

30  28 

29  08 

27  50 

10 

20 

43  54 

42  16 

40  39 

39  06 

37  35 

36  05 

34  37 

33  12 

31  49 

30  27 

29  09 

27  52 

20 

30 

45  01 

43  25 

41  50 

40  17 

38  46 

37  18  • 

35  51 

34  25 

33  01 

31  39 

30  19 

29  02 

30 

40 

45  59 

44  25 

42  52 

41  20 

39  51 

38  22 

36  55 

35  30 

34  07 

32  44 

31  23 

30  04 

40 

50 

46  47 

45  15 

43  44 

42  14 

4045 

39  18 

37  52 

36  27 

35  oj 

33  41 

32  21 

31  02 

50 

3 

OO 

47  28 

45  58 

44  28 

42  59 

41  32 

40  06 

38  41 

37  16 

35  54 

34  32 

33  II 

31  52 

3           00 

lO 

48  01 

46  33 

45  05 

43  39 

42  12 

40  47 

39  23 

37  59 

36  37 

35  16 

33  56 

32  37 

10 

20 

48  27 

47  01 

45  35 

44  II 

42  46 

41  22 

59  59 

3837 

37  15 

35  54 

34  34 

33 17 

20 

30 

48  47 

47  23 

45  59 

44  36 

43  13 

41  51 

40  29 

39  07 

37  47 

36  27 

3508 

33  50 

30 

40 

49  02 

47  40 

46  17 

44  56 

43  35 

42  14 

40  53 

39  33 

3f  H 

36  55 

3536 

34  19 

40 

50 

49  II 

4751 

46  30 

45  II 

43  51 

42  32 

41  13 

39  54 

3836 

37  18 

36  00 

3443 

SO 

4 

OO 

49  16 

4758 

46  39 

45  20 

44  02 

42  45 

41  28 

40  09 

3852 

37  35 

36  18 

3502 

4           00 

lO 

49  16 

47  59 

46  42 

45  26 

44  09 

42  53 

41  38 

40  21 

39  04 

37  49 

36  35 

35 19 

10 

20 

49  12 

47  57 

46  42 

45  27 

44  13 

42  57 

41  43 

40  28 

39  13 

3758 

36  44 

35  30 

20 

30 

49  05 

47  51 

46  37 

45  24 

44  12 

42  58 

41  45 

40  31 

39  18 

3803 

36  49 

35  37 

30 

40 

4854 

47  42 

46  30 

45  19 
45  08 

44  06 

42  55 

41  42 

40  29 

39  17 

3804 

36  52 

35  41 

40 

50 

48  39 

47  =9 

46  18 

43  57 

42  47 

41  37 

40  25 

39  14 

3803 

36  52 

3540 

50 

5 

OO 

48  22 

47  13 

46  03 

44  54 

43  45 

42  37 

41  27 

40  17 

39  08 

38  57 

37  58 

36  47 

3537 

5           00 

lO 

48  01 

46  53 

45  45 

44  38 

43  30 

42  22 

41  15 

40  06 

37  49 

36  39 

35  31 

10 

20 

47  37 

46  31 

45  24 

44  19 

43  13 

42  06 

40  59 

39  51 

3845 

37  37 

36  29 

35  22 

20 

30 

47  10 

46  06 

45  01 

43  56 

42  51 

41  46 

40  40 

39  34 

38  28 

37  22 

36  15 
35^ 

35  09 

30 

40 

46  41 

4538 

44  34 

43  30 

42  26 

41  23 

40  18 

39  14 

3809 

37  °4 

34  53 

40 

50 

4609 

45  07 

44  05 

43  03 

42  00 

4057 

39  54 

3851 

37  47 

36  43 

3540 

34  35 

60 

6 

OO 

45  34 

44  33 

43  32 

42  32 

41  30 

40  29 

3927 

38  24 

37  23 

36  19 

35  17 

34  15 

6           00 

lO 

44  56 

43  57 

42  57 

41  58 

4058 

39  58 

3858 

37  56 

3656 

35  54 

34  52 

33  51 

10 

20 

44  17 

43  19 
4238 

42  20 

41  22 

40  23 

39  25 

38  25 

37  26 

36  25 

35  26 

34  25 

33  25 

20 

30 

43  35 

41  41 

40  44 

39  46 

3848 

37  50 

36  52 

35  53 

34  54 

33  55 

32  56 

30 

40 

42  50 

■41  55 

40  59 

4003 

39  06 

38  10 

37  13 

36  16 

35  18 

34  21 

33  23 

32  24 

40 

50 

42  03 

41  09 

40  14 

39  19 

3824 

37  29 

36  33 

35  37 

34  41 

33  44 

3248 

31 52 

50 

1 

OO 

41  14 

40  21 

3t  H 
3838 

3833 

37  39 

36  46 

35  51 

34  56 

34  01 

33  07 

32  II 

31 16 

7           00 

lO 

40  22 

39  31 

38  37 

37  45 

36  53 

36  00 

35  06 

34  13 

33  20 

32  26 

31  32 

3038 

10 

20 

39  29 

37  46 

36  55 

36  03 

35  12 

34  20 

33  27 

32  36 

31  43 

3050 

29  58 

20 

30 

3832 

37  42 

36  52 

36  02 

35  12 

34  22 

33  31 

32  40 

31  50 

30  58 

30  07 

29  15 

30 

40 

37  33 

36  45 

35  56 

35  07 

34  18 

33  29 

32  40 

31  50 

31  01 

30  10 

29  21 

28  32 

40 

50 

36  32 

35  45 

34  57 

34  10 

33  22 

3235 

31  47 

3058 

30  10 

29  22 

28  34 

27  45 

50 

8 

OO 

35  29 

34  43 

33  56 

33  10 

32  24 

31  37 

30  51 

30  04 

29  17 

28  29 

2743 

26  57 

8           00 

lO 

34  23 

33  38 

32  53 

32  08 

31  23 

3038 

29  54 

2908 

28  22 

27  37 

26  52 

26  06 

10 

20 

33  14 

32  31 

31  47 

31  04 

30  20 

29  37 

2854 

28  10 

27  26 

26  41 

2558 

25  14 

20 

30 

32  04 

31  22 

30  40 

29  58 

29  16 

28  34 

27  51 

27  09 

26  27 

25  44 

25  02 

24  19 

30 

40 

30  52 

30  II 

29  30 

28  50 

28  09 

27  28 

26  47 

26  07 

25  26 

2445 

24  04 

23  23 

40 

50 

29  37 

2857 

28  18 

27  39 

26  59 

26  21 

2542 

25  02 

24  24 

23  44 

23  05 

22  26 

50 

9 

OO 

28  19 

27  41 

27  04 

26  26 

25  48 

25  12 

24  34 

23  56 

23  18 

22  41 

22  04 

21 25 

9           00 

lO 

26  59 

26  24 

25  47 

25  12 

24  36 

24  CO 

23  24 

22  47 

22  12 

21  37 

21  00 

20  25 

10 

20 

25  38 

25  03 

24  29 

23  55 

23  20 

22  47 

22  12 

21  39 

21  05 

20  30 

19  56 

19  22 

20 

30 

24  13 

23  41 

23  08 

22  36 

22  03 

21  31 

20  58 

20  27 

19  55 

19  21 

18  49 

18 17 

30 

40 

22  48 

22  17 

21  45 

21  14 

20  44 

20  14 

19  44 

19  12 

18  42 

18  12 

17  42 

17 12 

40 

50 

21  19 

20  50 

20  21 

19  52 

19  23 

18  55 

18  27 

17  58 

17  30 

17  01 

16  33 

16  04 

SO 

lO 

OO 

19  49 

19  23 

1855 

18  28 

18  01 

1735 

17  08 

16  42 

16  15 

1548 

15  22 

1456 

10           00 

lO 

18  18 

17  52 

17  27 

17  02 

16  37 

16  13 

1548 

15  23 

14  59 

14  34 

14  10 

1345 

10 

20 

16  44 

16  21 

16  01 

15  37 

15  12 

14  49 

14  27 

14  04 

13  41 

13  19 

12  57 

12  35 

20 

30 

15  08 

1448 

14  26 

14  05 

13  44 

13  24 

1304 

12  43 

12  23 

12  03 

II  42 

n  23 

30 

40 

13  31 

13  13 

12  54 

12  35 

12  17 

II  59 

II  39 

II  21 

II  04 

1045 

10  27 

10  09 

40 

50 

II  53 

n  37 

n  20 

II  04 

1047 

10  31 

10  15 

9  59 

9  43 

9  26 

9  11 

855 

50 

11 

OO 

10  14 

10  00 

9  45 

9  31 

9  17 

9  03 

849 

835 

8  21 

8  07 

6^ 

7  40 

11           00 

lO 

833 

8   21 

8  10 

758 

746 

7  34 

7  22 

7  II 

658 

6  47 

6  24 

10 

20 

652 

6  42 

632 

623 

613 

6  04 

5  54 

5  45 

536 

5  27 

518 

508 

20 

30 

5  10 

5  03 

4  55 

448 

4  41 

4  34 

4  27 

4  20 

4  13 

4  05 

358 

3  52 

30 

40 

3  27 

3  22 

3  17 

3  12 

3  07 

3  02 

258 

2  53 

2  48 

2  44 

2  39 

2  35 

40 

50 

I  43 

I  41 

I  39 

I  36 

I  34 

I  32 

I  29 

I  27 

I  24 

1  21 

I  19 

I  17 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

Q  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12           00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  Bast;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


120 


AZIMUTH  OR  TRUE  BEARING. 


liATITimE  2 

S°. 

DECLINATION— SAME  NAME  AS— 

LATITUDE. 

LiAXITUDX:  28°. 

Honr  An 

gle« 

60° 

61° 

62° 

03° 

64° 

65° 

66°  j 

67° 

68° 

6»° 

70° 

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5  53 

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4  55 

4  37 

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30 

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8  02 

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10 
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4  49 

4  41 

4  31 

4  22 

4  13 

4  04 

3  54 

3  45 

3  36 

3  27 

30 

3  45 

3  37 

3  31 

3  24 

3  17 

3  10 

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256 

2  49 

2  42 

2  35 

40 

2  29 

2  25 

2  21 

2  16 

2  II 

2  07 

2  02 

I  58 

I  53 

I  49 

I  44 

50 

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I  13 

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I  06 

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0  57 

0  54 

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12 

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0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

1   0  00 

In  >orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


121 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDB:  29<^. 

DECI^INATION- 

-SAME  NAME  AS— I^ATITUDE. 

liATITUDE  29°. 

Hour  Ad 

gle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

330 

340 

350 

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150  18 

142  56 

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113  52 

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10 

20 

137  02 

130  46 

122  54 

113  12 

loi  37 

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53  54 

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34  34 

20 

30 

124  57 

119  10 

112  31 

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50  04 

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89  29 

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100  57 

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90  21 

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40 

50 

95  02 

92  45 

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78  18 

75  50 

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82  36 

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92  05 

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79  52 

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87  04 

85  10 

83  15 

81  19 

79  22 

77  23 

75  24 

73  25 

71  25 

69  26 

20 

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89  33 

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74  46 

73  00 

71  13 

69  27 

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76  02 

74  22 

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81  44 

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73  55 

72  20 

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85  12 

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82  21 

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79  26 

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73  27 

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70  24 

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84  12 

82  50 

81  28 

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78  40 

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75  50 

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73  25  ;  72  20 

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60  20 

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60  20 

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59  17 
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20 

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57  17 

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54  02 

53  14 

52  25 

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50  49 

50  00 

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30 

40 

56  45 

55  57 

55  09 

54  19 

53  32 

52  44 

51  56 

51  08 

50  20 

49  33 

48  45 

47  58 

12  1 

50 

55  21 

54  33 

53  46 

52  57 

52  10 

51  23 

50  36 

49  48 

49  02 

48  15 

47  28 

46  41 

50 

8 

OO 

53  54 

53  06 

52  19 

51  32 

50  45 

4958 

49  12 

48  26 

47  40 

46  54 
45  "3T 

4609 

45  23 

8     00  , 

lO 

52  23 

51  37 

50  51 

50  03 

49  18 

48  32 

^l  47 

47  01 

46  16 

44  46 

44  01 

10 

20 

50  50 

50  04 

49  18 

48  32 

47  47 

47  02 

46  18 

45  33 

44  49 

44  04 

43  20 

42  37 

20 

30 

49  13 

48  27 

47  43 

46  58  '  46  14 

45  29 

44  46 

44  02 

43  18 

42  35 

41  52 

4109 

30 

40 

47  32 

46  48 

46  04 

45  20   44  36 

43  53 

43  II 

42  28 

41  45 

41  04 

40  21 

40 

50 

45  49 

45  04 

44  21 

43  38  ,  42  56 

42  14 

41  32 

40  51 

40  09 

39  28 

3848 

38  07 

50 

» 

OO 

44  00 

43  18 

42  35 

41  53   41  II 

40  30 

39  50 

39  09 

3830 

37  49 

37  10 

36  30 

9     00 

lO 

42  08 

41  26 

40  45 

40  04   39  24 

38  42 

38  04 

37  25 

36  46 

36  08 

35  30 

34  52 

10 

20 

40  12 

39  31 

3852 

38  12   37  32 

36  54 

36  15 

3538 

35  00 

34  23 

33  46 

33  10 

20 

30 

38  II 

37  32 

36  54 

36  15   35  37 

35  00 

34  23 

33  46 

33  II 

32  34 

31  59 

31  24 

30 

40 

36  06 

35  28 

34  51 

34  14  1  33  38 

33  02 

32  27 

31  52 

31  18 

30  43 

30  10 

2936 

40 

50 

33  57 

33  20 

32  46 

32  10  1  31  35 

31  01 

30  27 

29  54 

29  22 

2849 

28  17 

27  45 

SO 

lO 

OO 

31  43 

31  08 

30  34 

30  01  1  29  28 

2856 

28  24 

27  52 

27  22 

26  51 

26  21 

25  51 

10    00 

lO 

29  24 

28  52 

28  20 

27  48  i  27  17 

26  47 

26  17 

2548 

25  18 

24  50 

24  21 

23  53 

10 

20 

27  01 

26  31 

26  01 

25  32  *  25  03 

24  34 

24  07 

23  40 

23  13 

22  46 

22  19 

21  54 

20 

30 

24  34 

24  06 

2338 

23  12  ,  22  45 

22  19 

21  53 

21  27 

21  03 

20  38 

20  15 

19  51 

30 

40 

22  03 

21  37 

21  12 

20  47   20  23 

19  59 

19  36 

19  13 

18  51 

18  28 

18  07 

17  46 

40 

50 

19  27 

19  04 

18  42 

18  19   17  58 

17  37 

17  17 

1655 

1636 

16  16 

15  57 

1538 

50 

11 

OO 

16  48 

16  28 

16  08 

1549 

15  30 

15  " 

14  53 

14  36 

14  18 

14  01 

13  45 

13  28 

11     00 

lO 

14  05 

13-^ 

13  32 

13  15 

13  00 

12  44 

12  28 

12  13 

II  59 

II  45 

II  31 

II  17 

i2 

20 

II  20 

II  06 

10  53 

10  39 

10  26 

ID  14 

10  02 

9  49 

93* 

9  26 

9  15 

9  03 

20 

30 

832 

8  22 

8  12 

8  01 

7  51 

7  42 

7  33 

IP 

7  14 

706 

658 

6  49 

30 

40 

5  42 

5  35 

528 

5  22 

516 

5  09 

5  02 

4  50 

445 

438 

4  33 

40 

50 

2  52 

2  48 

244 

2  41 

238 

2  35 

2  31 

2  28 

2  25 

2  22 

2  19 

2  16 

50 

la 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  Bast;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  t'le 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


122 


AZIMUTH    OR   TRUE    BEARING. 


liATITUBE  29°. 

DECLINATION- 

-SAME  NAME  AS— I.ATITUDE. 

1 

latitude:  29°. 

Hour 

Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

li. 

m. 

0  1 

0  / 

0  / 

0  / 

0  > 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

li.    ni. 

O 

OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

i6  07 

14  01 

12  22 

11  02 

9  55 

859 

8  II 

731' 

654 

6  22 

5  55 

5  29 

10 

20 

29  45 

26  20 

23  31 

21  09 

19  IQ- 

17  27 

15  58 

14  41 

13  33 

12  33 

II  39 

10  50 

20 

30 

40  08 

36  II 

32  47 

29  50 

27  16 

25  01 

23  02 

21  18 

19  44 

18  19 

17  04 

15  56 

30 

40 

47  42 

43  43 

40  09 

36  57 

34  06 

31  34 

29  15 

27  II 

25  19 

23  36 

22  04 

20  40 

40 

60 

53  10 

49  22 

45  52 

42  39 

39  43 

37  02 

34  33 

32  18 

30  14 

28  21 

2636 

2459 

50 

1 

OO 

57  09 

53  36 

50,17 

47  09 

44  15 

41  33 

39  02 

36  42 

34  31 

32  30 

30  37 

28  52 

1    00 

lO 

60  05 

56  49 

53  42 

50  44 

47  56 

45  17 

42  46 

49  25 

38  II 

36  06 

34  09 

32  18 

10 

20 

62  16 

59  15 

56  20 

53  33 

50  51 

48  19 

45  51 

43  32 

41  20 

39  13 

37  13 

35  20 

20 

30 

63  53 

61  07 

58  24 

55  47 

53  14 

50  47 

48  25 

46  09 

43  59 

41  53 

39  54 

38  00 

30 

40 

,65  07 

62  32 

60  00 

57  32 

5508 

52  48 

50  31 

48  19 

46  12 

44  10 

42  12 

40  18 

40 

50 

66  01 

6336 

61  15 

5856 

56  39 

54  26 

52  15 

50  08 

48  05 

46  05 

44  09 

42  17 

50 

2 

OO 

66  41 

64  26 

62  13 

60  02 

57  52 

55  45 

53  41 

51  39 

49  39 

47  43 

45  50 

43  59 

2     00 

lO 

67  08 

65  01 

62  57 

60  52 

58  50 

56  49 

54  50 

52  52 

5058 

49  04 

47  15 

45  27 

10 

20 

67  26 

65  27 

63  29 

61  32 

59  35 

57  40 

5546 

53  54 

52  02 

50  13 

48  26 

46  41 

20 

30 

67  37 

65  44 

63  52 

62  01 

60  09 

58  19 

56  30 

54  42 

52  55 

51  10 

49  27 

47  44 

30 

40 

67  40 

65  54 

6406 

62  20 

60  35 

58  50 

57  05 

55  21 

53  39 

51  57 

50  16 

48  37 

40 

50 

6738 

65  57 

^15 

62  33 

60  52 

59  12 

57  31 

55  52 

54  12 

52  33 

50  56 

49  20 

50 

3 

OO 

67  31 

65  54 

64  17 

62  41 

61  03 

59  27 

57  50 

56  14 

54  39 

53  03 

51  29 

49  55 

3     00 

lO 

67  19 

65  47 

64  14 

62  41 

61  09 

59  36 

58  03 

56  30 

54  58 

53  26 

51  54 

50  23 

10 

20 

67  06 

6536 

64  07 

62  38 

61  08 

59  39 

58  09 

56  40 

55  10 

53  41 

52  12 

50  44 

20 

30 

66  47 

65  22 

6356 

62  29 

61  03 

59  37 

58  10 

56  44 

55  18 

53  51 

52  ^5 

50  59 

30 

40 

66  26 

65  03 

63  40 

62  17 

60  55 

59  31 

58  07 

56  44 

55  20 

53  56 

42  33 

51  09 

40 

50 

66  02 

64  42 

63  22 

62  02 

60  42 

59  21 

58  00 

56  39 

55  18 

53  57 

52  35 

51  14 

50 

4 

OO 

65  35 

64  18 

63  02 

61  44 

60  26 

59  07 

57  48 

•  56  31 

55  II 

53  52 

52  33 

51  14 

4     00 

lO 

65  07 

63  52 

62  37 

61  21 

60  06 

58  51 

.  57  34 

56  18 

55  01 

53  44 

52  27 

51  10 

10 

20 

64  35 

63  23 

62  10 

60  57 

59  43 

5f  30 

57  16 

56  02 

54  47 

53  32 

52  17 

51  03 

20 

30 

64  02 

62  51 

61  41 

60  30 

59  19 

58  06 

56  55 

55  43 

54  30 

53  17 

52  04 

50  50 

30 

40 

63  27 

62  19 

61  10 

60  00 

58  51 

57  41 

56  31 

55  21 

54  10 

52  58 

51  47 

50  35 

40 

50 

62  50 

61  43 

60  36 

59  28 

58  20 

57  13 

56  04 

54  55 

53  46 

52  37 

51  28 

50  17 

50 

5 

OO 

62  10 

61  05 

60  00 

5854 

57  48 

56  42 

55  35 

54  28 

53  20 

52  12 

51  04 

49  56 

5     00 

lO 

61  29 

60  25 

59  22 

58  17 

57  12 

5608 

55  02 

53  57 

52  51 

51  45 

50  39 

49  31 

10 

20 

60  46 

59  43 

58  41 

57  39 

56  35 

55  31 

54  27 

53  24 

52  20 

51  15 

50  10 

49  04 

20 

30 

60  01 

59.00 

57  59 

56  57 

55  56 

54  53 

53  51 

52  48 

51  46 

50  43 

49  39 

48  35 

30 

40 

59  14 

58  14 

57  ^4 

56  13 

55  14 

54  12 

53  II 

52  II 

51  09 

50  07 

49  06 

48  03 

40 

50 

58  24 

57  26 

56  28 

55  29 

54  30 

53  30 

52  30 

51  30 

50  30 

49  30 

48  29 

47  28 

50 

6 

OO 

57  34 

56  37 

55  40 

54  41 

53  44 

52  46 

51  47 

5048 

49  49 

48  50 

47  50 

46  50 

6     00 

lO 

56  41 

55  45 

54  48 

53  51 

52  55 

51  58 

51  00 

50  03 

49  05 

48  07 

47  09 

46  10 

10 

20 

55  46 

54  51 

53  56 

53  00 

52  05 

51  09 

50  12 

49  16 

48  19 

47  22 

46  26 

45  28 

20 

30 

54  50 

53  56 

53  01 

52  07 

51  12 

50  17 

49  22 

48  27 

47  32 

46  36 

45  39 

44  43 

30 

40 

53  50 

52  57 

52  04 

51  12 

50  18 

49  23 

48  29 

47  35 

46  41 

45  46 

44  51 

43  57 

40 

50 

52  49 

51  57 

51  05 

50  13 

49  20 

48  27 

47  34 

46  41 

45  47 

44  54 

44  01 

43  07 

60 

7 

OO 

51  46 

50  55 

50  04 

49  12 

48  21 

47  29 

46  37 

45  45 

44  53 

44  00 

43  08 

42  15 

7     00 

lO 

5041 

49  51 

49  00 

48  09 

47  19 

46  27 

45  37 

44  46 

43  55 

43  04 

42  13 

41  21 

10 

20 

49  33 

48  43 

47  54 

47  04 

46  15 

45  25 

44  35 

43  46 

42  56 

42  06 

41  15 

40  24 

20 

30 

48  23 

47  34 

46  45 

45  57 

45  08 

44  20 

43  30 

42  42 

41  53 

41  04 

40  15 

39  26 

30 

40 

47  10 

46  22 

45  35 

44  47 

44  00 

43  12 

42  24 

41  37 

40  49 

40  01 

39  13 

38  26 

40 

SO 

45  55 

4508 

44  22 

43  34 

42  49 

42  01 

41  15 

40  29 

39  42 

3856 

3809 

37  22 

50 

8 

OO 

44  36 

43  51 

43  05 

42  20 

41  35 

40  49 

40  04 

32  '! 

38  33 

37  47 

37  02 

36  16 

8     00 

10 

43  17 

42  31 

41  47 

41  02 

40  18 

39  34 

3849 

38  06 

37  22 

36  37 

35  53 

■35  08 

10 

20 

41  54 

41  09 

40  26 

39  42 

3859 

3816 

37  33 

36  50 

36  07 

35  24 

34  42 

3358 

20 

30 

40  27 

39  44 

39  03 

38  20 

37  38 

3656 

36  14 

35  32 

34  50 

34  09 

33  27 

32  46 

30 

IR 

3858 

38  17 

37  36 

36  55 

36  14 

35  33 

34  52 

34  12 

33  32 

32  51 

32  II 

31  31 

40 

50 

37  27 

36  46 

36  07 

35  26 

34  47 

3408 

33  28 

32  49 

32  II 

31  31 

30  53 

30  13 

50 

9 

OO 

35  52 

35  13 

34  34 

33  55 

33  18 

32  40 

32  01 

31  24 

30  46 

3009 

29  31 

28  54 

9     00 

lO 

34  14 

33  37 

32  59 

32  22 

31  46 

31  09 

30  32 

29  57 

29  20 

28  44 

28  08 

27  33 

10 

20 

32  33 

31  57 

31  22 

30  46 

30  12 

29  35 

29  01 

28  27 

27  52 

27  17 

26  43 

26  09 

20 

30 

30  50 

30  15 

29  41 

29  07 

2833 

28  00 

27  27 

26  54 

26  21 

25  48 

25  16 

24  44 

30 

40 

29  04 

28  30 

27  58 

27  25 

26  53 

26  22 

25  49 

25  19 

24  47 

24  16 

23  45 

23  15 

40 

50 

27  13 

26  43 

26  12 

25  41 

25  II 

24  41 

24  II 

23  42 

23  12 

22  42 

22  13 

21  45 

50 

lO 

OO 

25  21 

24  52 

24  23 

23  54 

23  26 

22  58 

22  30 

22  02 

21  35 

21  08 

20  41 

20  13 

10     00 

lO 

23  26 

22  58 

22  32 

22  05 

21  38 

21  12 

20  46 

20  20 

19  54 

19  29 

19  04 

18  39 

10 

20 

21  28 

21  03 

20  38 

20  13 

19  48 

19  25 

19  00 

1837 

18  13 

17  50 

17  27 

17  04 

20 

30 

19  27 

19  04 

18  42 

18  19 

17  56 

17  35 

17  13 

16  51 

16  30 

16  09 

15  48 

15  26 

30 

40 

17  24 

17  04 

16  43 

16  22 

16  03 

15  43 

15  23 

15  04 

14  45 

14  25 

14  06 

1348 

40 

50 

15  20 

15  01 

14  42 

14  24 

14  07 

13  49 

13  31 

13  14 

12  57 

12  41 

12  24 

12  07 

50 

11 

OO 

13  12 

12  55 

12  40 

12  24 

12  09 

II  53 

II  39 

II  24 

II  10 

1054 

10  40 

10  26 

11     00 

lO 

II  03 

10  50 

10  37 

10  22 

10  10 

9  57 

9  45 

9  32 

9  20 

9  07 

855 

8  43 

10 

20 

852 

8  41 

831 

8  19 

8  10 

8  00 

7  49 

7  39 

7  29 

7  20 

7  09 

6  59 

20 

30 

6  41 

632 

6  24 

615 

6  08 

6  00 

5  53 

5  45 

5  37 

5  30 

5  23 

5  15 

30 

40 

4  27 

4  21 

4  17 

4  11 

4  05 

4  01 

3  55 

3  50 

3  46 

3  41 

3  35 

3  30 

40 

50 

2  14 

2  II 

2  08 

2  06 

2  03 

2  00 

I  58 

156 

1  53 

I  50 

I  48 

I  45 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  th?  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


123 


AZIMUTH  OR  TRUE  BEARING. 


I^TITIJDE  2»°. 

DECLINATIOX- 

-SAME  NAME  AS— LATITUDE. 

I^ATITUDE  29°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

540 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

b.    in. 

o  / 

0  ' 

0  t 

0  / 

0  / 

0  1 

0  / 

0  ' 

0  / 

0  t 

0  1 

0  1 

\k.         m. 

O     OO 

O  OO 

0  c» 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

10 

5  07 

4  47 

428 

4  II 

3  55 

3  42 

328 

3  15 

3  04 

2  53 

2  44 

2  34 

10 

20 

10  07 

9  27 

851 

8  19 

7  48 

7  19 

654 

6  30 

607 

546 

526 

507 

20 

30 

14  54 

13  57 

13  05 
17  06 

12  18 

II  33 

10  52 

10  14 

938 

9  06 

8  34 

805 

7  37 

30 

40 

19  22 

18  II 

16  04 

15  08 

14  16 

1327 

12  41 

II  58 

II  18 

10  40 

10  04 

40 

50 

23  30 

22  07 

20  50 

1938 

18  31 

17  29 

16  31 

15  36 

1444 

13  55 

13  09 

12  26 

50 

1     OO 

27  13 

25  41 

24  16 

22  56 

21  40 

20  29 
23  18 

19  24 

18  20 

17  20 

16  25 

15  32 

14  41 

1     00 

10 

30  34 

28  57 

27  25 

2558 

24  56 

22  05 

2055 

19  49 

18  46 

17  47 

16  51 

10 

20 

33  33 

31  51 

30  15 

2843 

27  15 

25  52 

24  35 

23  19 

22  08 

20  59 

19  55 

1853 

20 

30 

36  II 

34  26 

32  47 

31  12 

29  40 

28  14 

26  52 

25  32 

24  16 

23  03 

21  54 

20  47 

30 

40 

38  28 

36  43 

35  02 

33  25 

31  51 

30  23 

28  57 

27  34 

26  15 

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23  45 

22  35 

40 

50 

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37  01 

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46  03 

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14  25 

14  04 

13  41 

13  18 

12  56 

12  34 

20 

30 

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14  25 

14  04 

13  44 

13  23 

13  03 

12  42 

12  23 

12  02 

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II  22 

30 

40 

13  29 

13  II 

12  52 

12  33 

12  15 

II  57 

II  39 

II  21 

II  02 

10  45 

10  27 

10  08 

40 

50 

II  50 

II  35 

II  18 

II  02 

10  46 

10  30 

10  14 

958 

942 

9  26 

9  II 

855 

50 

11     OO 

10  12 

8  20 

1^ 

9  29 

9  15 

9  01 

8  48 

834 

8  21 

8  06 

7  53 

7  39 

11     00 

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832 

756 

7  44 

7  32 

7  21 

7  10 

658 

646 

635 

624 

10 

20 

651 

6  41 

631 

6  22 

6  12 

6  03 

5  54 

5  45 

536 

5  27 

5  '7 

508 

20 

30 

5  09 

5  01 

4  54 

4  47 

4  40 

4  33 

4  26 

4  19 

4  12 

4  05 

358 

3  51 

30 

40 

3  25 

3  20 

3  17 

3  12 

3  07 

3  02 

258 

2  53 

2  49 

2  43 

2  39 

2  34 

40 

50 

I  43 

I  40 

138 

136 

I  33 

I  31 

I  28 

I  26 

I  24 

I  22 

I  19 

I  17 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  Bast;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  derlinatlon  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


124 


AZIMUTH    OR  TRUE  BEARING. 


1 

1.AXITUDE  29°. 

DECLINATION— SAME  NAME  AS— LATITUDE. 

LATITUDE  29°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b. 

ni. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  1 

0  / 

b.    ni. 

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0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

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2  25 

2  17 

2  09 

2  02 

'  I  55 

I  48 

I  42 

I  35 

I  29 

I  24 

I  18 

10 

20 

4  5° 

4  34 

4  17 

4  02 

3  48 

3  35 

3  22 

3  10 

2  58 

2  47 

236 

20 

30 

7  II 

6  47 

6  24 

6  02 

5  41 

5  21 

5  02 

4  43 

4  26 

4  09 

3  53 

30 

40 

9  30 

858 

8  28 

7  59 

7  32 

I  °5 

6  40 

6  16 

5  52 

5  30 

5  09 

40 

50 

II  45 

II  06 

10  29 

9  52 

9  18 

8  46 

8  16 

7  46 

7  18 

6  50 

624 

50 

1 

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10  25 

9  48 

9  14 

8  41 

8  08 

7  37 

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15  57 

15  05 

14  16 

ID  03 

13  29 

12  44 

12  01 

II  20 

10  39 

10  01 

9  24 

8  49 

10 

20 

17  53 

16  57 

15  II 

14  21 

13  33 

12  47 

12  02 

II  18 

10  37 

9  57 

20 

30 

19  44 

18  42 

17  44 

16  47 

15  53 

15  00 

14  10 

13  21 

12  34 

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30 

40 

21  27 

20  22 

19  19 

18  19 

17  21 

16  23 

15  29 

14  37 

13  45 

12  56 

12  09 

40 

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23  03 

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20  49 

19  44 

18  42 

17  43 

16  45 

15  49 

14  54 

14  01 

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50 

2 

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22  13 

21  05 

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24  41 

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22  20 

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25  54 

24  41 

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22  20 

21  12 

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20 

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23  22 

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1853 

17  49 

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40 

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28  02 

26  47 

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24  19 

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17  33 

40 

50 

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26  26 

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22  48 

21  38 

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19  22 

18  17 

50 

3 

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31  06 

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28  31 

27  15 

26  00 

24  46 

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22  23 

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3    00 

10 

31  50 

30  32 

29  14 

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26  43 

2528 

24  15 

23  03 

21  52 

20  42 

19  34 

10 

20 

32  29 

31  II 

29  53 

28  36 

27  20 

26  06 

24  52 

23  39 

22  28 

21  17 

20  07 

20 

30 

33  02 

31  44 

30  27 

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27  55 

26  40 

25  26 

24  12 

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21  48 

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40 

33  31 

32  14 

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4 

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27  33 

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30 

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32  36 

31  3& 

30  34 

29  32 

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19  10 

18  22 

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10 

20 

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23  04 

22  20 

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20  50 

20  05 

19  18 

18  32 

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20 

30 

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22  15 

21  32 

20  48 

20  04 

19  21 

1837 

17  52 

17  08 

16  23 

30 

40 

22  47 

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21  23 

20  42 

20  00 

19  18 

18  37 

17  54 

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16  28 

15  46 

40 

50 

21  49 

21  09 

20  29 

19  49 

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18  30 

17  50 

17  10 

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15  48 

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50 

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20  50 

20  13 

19  35 

1857 

18  19 

17  41 

17  02 

16  23 

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19  51 

19  15 

18  39- 

18  02 

17  27 

16  50 

16  14 

15  36 

14  59 

14  22 

13  45 

10 

20 

18  49 

18  15 

17  41 

17  06 

16  32 

1558 

15  24 

14  49 

14  14 

13  38 

13  03 

20 

30 

17  46 

17  14 

16  42 

16  09 

15  37 

15  04 

14  31 

13  59 

13  26 

12  53 

12  20 

30 

40 

16  42 

16  12 

15  41 

15  II 

14  41 

14  10 

13  40 

13  08 

12  37 

12  06 

II  35 

40 

• 

50 

15  36 

15  08 

14  40 

14  II 

13  43 

13  15 

12  45 

12  17 

II  48 

II  18 

10  49 

50 

lO 

OO 

14  29 

14  03 

13  37 

13  IP 

12  43 

12  18 

II  51 

II  24 

10  57 

10  30 

10  03 

10     00 

lO 

13  21 

12  57 

12  32 

12  08 

II  44 

II  19 

10  55 

10  31 

10  15 

9  41 

9  15 

10 

20 

12  12 

II  50 

II  28 

:i  05 

10  43 

10  21 

958 

9  36 

9  13 

8  50 

8  28 

20 

30 

II  02 

1,0  42 

10  22 

10  02 

9  41 

9  21 

9  61 

8  40 

8  20 

8  00 

7  39 

30 

40 

9  50 

9  33 

9  15 

856 

8  39 

8  21 

8  03 

7  45 

726 

7  08 

6  49 

40 

50 

8  39 

8  23 

8  07 

7  52 

7  35 

7  20 

7  04 

648 

632 

6  16 

5  59 

50 

11 

OO 

7  26 

7  13 

6  59 

6  46 

632 

6  18 

6  05 

5  50 

536 

5  22 

5  09 

11     00 

lO 

6  12 

6  oi 

5  51 

5  39 

5  28 

5  i6 

5  04 

4  53 

4  42 

4  30 

4  iS 

10 

20 

4  59 

4  50 

4  41 

4  31 

4  23 

4  14 

4  04 

3  55 

3  46 

336 

3  27 

20 

30 

3  45 

3  37 

3  31 

3  24 

3  17 

3  10 

3  03 

^56 

2  50 

2  43 

236 

30 

40 

2  30 

2  26 

2  21 

2  16 

2  II 

2  07 

2  03 

I  58 

I  53 

I  49 

I  44 

40 

50 

I  15 

I  13 

I  11 

I  08 

I  06 

I  04 

I  01 

0  58 

0  56 

0  54 

0  52 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  dllTerent  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  th  . 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


125 


AZIMUTH  OR  TRUE  BEARING. 


IiATITCJDE  'iO° 


DECI^INATION— SAME  NAME  AS— LATITUDE. 


LATITUDE  30^ 


Hoar  Angle. 


84°   I    25= 


26° 


b. 

o 


11 


12 


III. 

oo 

lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


i8o  OO 
159  03 
142  15 
130  10 
121  35 
115  21 

no  38 
106  53 

103  49 
loi  17 

9905 
97  09 

95  25 
93  51 
92  24 
91  03 
8946 
8834 

87  24 
86  17 

85  13 
84  10 
8307 
82  07 

81  07 
80  07 

79  07 
7807 
77  09 
76  09 

75  09 
74  08 
73  07 
72  06 
71  03 
70  00 

6855 
67  49 
66  42 

65  33 
64  22 
63  10 

61  56 
60  40 
59  21 
5801 
56  39 
55  12 

53  43 
52  12 
50  37 
49  00 
47  18 
45  33 

43  44 
41  51 
39  54 
37  53 
35  49 
33  39 

31  25 
2907 
26  45 
24  18 
21  47 
19  13 

1636 
13  55 
II  12 
825 
538 
2  49 
o  00 


180  00  ' 
155  29 
137  05 
125  09 
117  01 
III  17 

107  00 
103  39 
100  55 
98  38 
96  39 
94  55 

93  20 
91  55 
90  35 
89  20 
88  09  - 
87  01  1 

8556  , 
8453  I 
83  51 
82  52 
81  52 
8053 

79  56 
7858 
78  01 
77  03  I 
76  05  ; 
75  07 

74  08  I 
73  09 
72  09  I 
71  09  I 
70  07 
69  04  ] 

68  01 
6656 

65  49 

64  41  I 

63  31  I 
62  20  I 
1 
61  06  I 
59  50 
5832 
57  13 
55  50  i 
54  25  I 

52  57  j 
51  26  i 

49  52  1 
48  15  I 
46  34  1 
44  50  j 

43  02 

41  II  I 
39  15  I 
37  15  1 
35  II 
33  03  ! 

3051  I 
2835 
26  15 
23  51 
21  23 
18  51 

16  16 
13  39 
1058 
8  15 
5  31 
2  46 
o  00 


180  00 
150  31 
130  58 
119  20 
III  58 
106  54 

103  II 
100  16 
97  54 
95  54 
94  09 
9238 

91  12 

8955 
8843 

87  35 
86  30 
85  27 

84  26 
83  27 
82  30 
81  32 
80  36 
7940 

7845 
77  49 
"6  53 
75  57 
75  02 
7405 

73  08 
72  09 
71  II 
70  II 
69  10 
68  09 

67  06 
66  02 
64  56 
63  48 
62  39 
61  29 

60  15 
59  01 
57  43 
56  24 
55  03 
53  37 

52  10 
50  40 
49  07 
47  30 
45  50 
44  08 

42  20 
40  30 

3835 
36  37 
34  35 
32  29 

30  18 
28  04 
25  46 
23  24 
2058 
18  29 

15  57 
13  22 

10  45 
8  06 
5  25 
2  43 
o  00 


27° 


28° 


180  00  '  180  00 

143  10  i  131  51 

123  06  113  21 

112  38  105  07 

106  24  !  100  25 

102  13  97  18 


99  09 
96  45 
94  46 
93  06 
91  37 
90  16 

89  04 
8755 
86  50 

85  49 
84  50 
8352 

82  56 
82  00 
81  06 
80  12 
79  19 
78  25 

77  33 
76  40 
75  46 
74  52 
73  57 
73  03 

72  06 
71  10 
70  12 
69  14 
68  14 
67  14 

66  II 
6508 
64  03 
62  57 
61  48 
60  38 

59  26 
58  II 
56  55 
55  36 
54  15 
52  51 

51  24 
49  55 
48  22 
46  46 
45  08 
43  25 

41  39 
39  50 

37  57 
36  00 

33  59 
31  55 

29  46 

27  33 
25  18 
22  5S 
20  34 
^8  08 

15  38 
13  06 
10  32 
756 
5  18 
2  39 
o  00 


29° 


30° 


31° 


32°         33° 


94  58 
93  07 
91  34 
90  13 
89  01 
87  54 

8652 
8552 
8455 
84  01 

83  07 
82  15 

81  25 
80  33 
79  42 
7852 
78  02 
77  II 

76  21 
75  29 
7438 
73  46 
72  53 
72^00 

71  04 
70  09 

69  13 
68  16 
67  17 
66  18 

65  17 
64  14 
63  10 
62  04 
60  56 
59  47 

5836 
57  21 
56  06 
54  48 
53  27 
52  04 

5038 
49  10 
4738 
46  03 
44  25 
42  43 

4058 
39  II 

37  18 
35  23 
33  24 
31  20 

29  13 
27  03 
24  50 
22  32 
20  II 
17  48 

15  20 
12  52 
10  20 
7  47 
5  12 
2  37 
o  00 


180  00 
114  03 
loi  42 

96  51 

94  04 
92  09 

90  38 
8924 
88  17 
87  17 
86  21 
85  29 

8438 
83  48 
83  00 
82  13 
81  25 
8039 

7951 
79  04 
78  18 
77  31 
76  43 
75  56 

7508 
74  19 
73  29 
72  39 
71  48 
7056 

70  03 
69  09 
68  14 
67  18 
66  21 
65  22 

64  31 

63  20 
62  17 
61  II 
60  05 
5856 

57  45 
56  33 
55  17 
54  00 
52  40 
51  18 

49  52 
48  25 
46  54 
45  20 
^5  43 
42  02 

40  18 
38  31 
36  41 
34  47 
32  49 
3047 

28  42 
26  33 
24  23 
22  07 
10  48 
17  27 

15  03 
12  36 
10  08 
7  37 
5  06 
2  33 
o  00 


89  22 

8845 
88  07 
87  30 
8652 

86  14 
8536 
8458 
84  19 
83  40 
83  01 

82  22 
81  42 
81  02 
80  22 

79  41 
79  00 

78  18 
77  35 
76  52 
76  09 
75  25 
74  40 

73  54 
73  07 
72  20 
71  31 
70  42 
69  52 

69  00  ! 
68  08 
67  14 
66  19 
65  23 
64  25 

6326 
62  25 
61  23 
60  19 

59  13 
5805 

56  55 
55  42 
54  28 
53  II 
51  52 
5031 

49  06 
47  39 
46  09 
44  36 
43  00 
41  21 

39  38 
37  52 
36  03 
34  10 
32  14 
30  14 

28  II 
26  04 

23  55 
21  42 

19  25 
17  07 

14  45 
12  21 
9  56 
7  28 
4  59 
2  30 
o  00 


o  00 

64  28 

75  40  I 

79  19  j 
8051 

81  33 

81  47 
81  46 
81  36 
81  19 

80  58 
80  33 

80  05 
79  36 
79  04 
78  30 
77  56 
77  20 

76  44 
76  06 

75  26 
74  46 
74  05 
73  23 

72  40 
71  56 
71  10 
70  24 
6936 
68  48 

6758 
67  07 
66  15 

65  20 
64  25 
63  29 

62  30 
61  31 
60  29 
59  25 
58  20 
57  13 

56  04 
54  52 
53  40 
52  24 
51  05 
49  44 

48  21 
46  55 
45  26 
43  54 
42  19 
40  40 

3859 
37  13 
35  26 
33  34 
31  40 
2942 

2741 
25  35 
23  28 
21  17 
1903 
1647 

14  27 
12  07 
9  44 
7  19 
4  53 
2  27 
o  00 


o  00 
46  20 

63  43 

70  48 

74  19 

76  14 

77  19 

77  56  , 

78  14  i 
78  18 
78  14  j 
78  04  I 

77  47 
7728  I 
77  05  1 
76  39  ! 
76  II 

75  40  I 

75  08 
74  35 
74  00 
73  23 
72  45 
72  05 

71  25 
7043 
70  00 
69  15 
68  30 
67  44 

6655 
66  05 

65  15 

64  21 
63  28 
62  32 

61  35 
60  36 

59  36 
5833 
57  28 
56  22 

55  14 
54  04 
52  51 
51  35 
50  18 
4859 

47  35 
46  10 
44  42 
ii  II 
41  36 
39  59 

38  19 
36  36 
34  50 
32  59 
31  06 
29  10 

27  10 
25  07 
23  01 

2053 
18  42 
16  27 

14  II 
II  52 
9  32 
7  10 
448 
2  24 
o  00 


34° 


o  00 
34  46 
53  35 
62  56 

68  03 

71  04 

72  56 
74  07 

74  51 

75  18 
75  30 
75  34 

75  30 
75  19 
75  05 
74  46 
74  25 
74  00 

73  33 
73  04 
72  32 
71  59 
71  25  I 
70  48 

70  10 

69  30  I 

68  50  ; 

68  07  , 
67  23  I 
6638  I 

65  52  I 
65  04 
64  13  I 
63  23 
62  29 
61  35 

6039 
59  41 
5841 
57  39 
5636 
55  31 

54  23 
53  14 
52  02 
50  47 
49  31 
48  12 

46  50 
45  25 
4358 
42  28 
40  56 
39  20 

37  40 
3558 
34  13 
32  24 

30  33 
2838 

26  41 
24  39 
22  36 
20  29 
18  20 
16  09 

13  54 
H  38 
9  21 
7  02 
4  42 


o  00 
27  16 
45  22 

55  54 

62  10 
6605 

68  38 

70  22 

71  32 

72  18 

72  47 

73  03 

73  II 
73  II 
73  05 
72  53 
72  38 
72  19 

71  57 
71  31 
71  04 

70  35 
70  03 

69  30 

6854 
68  17 
6738 
6658 
66  16 
65  32 

64  4S 
64  01 

63  12 
62  23 
61  31 
60  37 

59  43 
5846 
57  47 

56  46 
55  43 
54  39 

53  32 
52  23 
51  13 
49  59 
48  44 
47  25 


35° 


Honr  Angle' 


o  00 
22  12 
38  49 

49  42 

56  43 

61  21 

64  30 

66  42 

68  14 

69  19 

70  04 

70  34 

70  53. 

71  01 
71  04 
70  59 
70  50 
70  36 

70  20 
69  59 
69  35 
69  10 
68  42 
68  II 

6738 

67  at 
66  27 

65  49 
6508 
64  27 

63  44 

62  58 
62  II 
61  22 
60  32 
5940 

5846 

57  50 
56  53 
55  53 
54  52 
5348 

52  43 
51  34 

50  24 
49  II 
47  57 
46  39 


46  04 

45  19  ' 

44  41 

43  56 

43  14 

42  31 

41  45 

41  03 

40  14 

39  33 

58  39 

38  00 

37  01 

36  22  i 

35  20 

34  43 

33  37 

33  01 

31  50 

31  16 

29  59 

29  27 

28  07 

27  35 

26  II 

25  41 

24  II 

23  44 

22  10 

21  45 

20  06 

1943 

17  59 

1738 

15  49 

15  31 

13  38 

13  22 

II  24 

II  12 

9  10 

858 

6  54 

645 

437 

4  31 

2  18 

2  15 

0  00 

0  00 

ll. 

m. 

0 

00 

10 

20 

30 

40 

50 

1 

00 

10 

20 

30 

40 

50 

2 

00 

10 

20 

30 

40 

50 

» 

00 

10 

20 

30 

40 

60 

4 

00 

10 

20 

30 

40 

50 

5 

00 

10 

20 

30 

40 

50 

6 

00 

10 

20 

30 

40 

50 

7 

00 

10 

20 

30 

40 

50 

K 

00 

10 

20 

30 

40 

50 

9 

00 

10 

20 

30 

40 

50 

10 

00 

10 

20 

30 

40 

50 

11 

00 

10 

20 

30 

40 

50 

12 

00 

In  North  latltnde,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  aziranths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  .star  is  rising  or  Ea.st  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing.. 


126 


AZIMUTH  OR  TRUE  BEARING. 


liATITCJDX:  30°. 

DECLINATION- 

-SAME  NAME  AS— JvATITUDE. 

I^ATITUUE  30°. 

Hour  Angle. 

36° 

37° 

38° 

'39° 

40° 

41° 

42° 

430 

44° 

45° 

46° 

47° 

Hour  Angle. 

li. 

m. 

O  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

0  r 

li.    in. 

O 

OO 

O  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

i8  36 

15  54 

13  50 

12  12 

10  53 

946 

851 

8  03 

7  23 

6  47 

6  16 

5  48 

10 

ao 

33  37 

29  26 

26  01 

23  13 

20  53 

18  53 

17  II 

15  43 

14  27 

13  20 

12  20 

II  27 

20 

30 

44  21 

39  45 

35  49 

32  25 

29  28 

26  55 

24  41 

22  42 

20  57 

19  25 

18  01 

16  46 

30 

40 

51  46 

47  19 

43  18 

39  44 

36  33 

33  42 

31  09 

28  51 

26  48 

24  56 

23  14 

21  42 

40 

50 

56  55 

52  46 

48  57 

45  26 

42  13 

39  17 

36  35 

34  07 

31  52 

29  48 

27  54 

26  09 

50 

1 

OO 

60  32 

56  45 

53  12 

49  51 

46  43 

43  47 

41  05 

38  34 

36  13 

34  03 

32  01 

30  08 

1    00 

lO 

63  08 

59  42 

56  24 

53  16 

50  17 

47  27 

44  48 

42  17 

39  55 

37  42 

35  36 

33  39 

10 

ao 

65  01 

61  53 

5850 

55  55 

53  06 

•  50  24 

47  49 

45  21 

43  01 

40  48 

3842 

36  42 

20 

30 

66  23 

63  31 

60  42 

57  59 

55  20 

52  46 

50  18 

47  54 

45 '37 

43  27 

41  21 

39  21 

30 

40 

67  23 

64  45 

62  08 

59  35 

57  05 

54  40 

52  18 

50  01 

47  49 

45  41 

43  36 

41  37 

40 

50 

68  06 

6538 

63  12 

60  49 

58  29 

56  II 

53  56 

51  45 

49  37 

47  32 

45  31 

43  35 

60 

2 

OO 

f^34 

66  17 

64  01 

61  48 

59  35 

57  24 

55  16 

53  10 

51  06 

49  06 

47  09 

45  15 

a   00 

lO 

6853 

6645 

64  37 

63  31 

60  25 

58  21 

56  20 

54  19 

52  21 

50  24 

4831 

46  39 

10 

ao 

69  03 

67  03 

65  03 

63  03 

61  04 

59  06 

57  10 

55  15 

53  21 

51  30 

49  39 

47  51 

ao 

30 

69  06 

67  12 

65  18 

63  25 

61  32 

59  40 

57  49 

55  59 

54  10 

52  23 

50  36 

48  50 

30 

40 

69  02 

67  15 

65  27 

63  40 

61  52 

60  06 

58  20 

56  33 

5448 

53  05 

51  22 

49  40 

40 

50 

68  55 

67  12 

65  29 

6348 

62  05 

60  22 

58  40 

56  59 

55  18 

5338 

51  57 

50  21 

60 

3 

OO 

68  42 

67  05 

65  27 

63  49 

,62  II 

60  33 

5856 

57  17 

55  40 

54  04 

52  28 

50  52 

3    00 

10 

68  26 

6652 

65  19 

63  46 

62  12 

60  37 

59  03 

57  29 

55  56 

54  23 

52  50 

51  17 

10 

ao 

63  07 

6637 

65  07 

6338 

62  07 

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40 

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51  55 

40 

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66  49 

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53  19 

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1636 

16  17 

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14  36 

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10  24 

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7  27 

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6  29 

6  21 

6  14 

6  06 

558 

5  51 

5  43 

536 

5  29 

5  21 

5  14 

30 

40 

4  26 

4  20 

4  14 

4  10 

4  04 

3  59 

3  55 

3  49 

3  44 

3  39 

3  35 

3  30 

40 

50 

2  12 

2  10 

2  08 

2  05 

2  02 

2  00 

I  57 

I  54 

I  52 

I  50 

I  48 

I  45 

60 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12   00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  .South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


127 


AZIMUTH  OR  TRUE  BEARING. 


liATITlDE  »0°. 

DECLINATIOX- 

-ciAME  NAME  AS— I.ATITUDE. 

LATITUDE  30°.  1 

i 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

■   1 
Hour  Angle. 

to. 

lu. 

o  / 

0  / 

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0  1 

b.    m. 

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5  02 

4  41 

4  22 

4  06 

3  50 

3  37 

3  23 

3  10 

3  00 

2  49 

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20 

lo  38 

9  55 

9  16 

8  40 

8  08 

•  738 

7  09 

6  44 

6  20 

558 

536 

516 

20 

30 

15  39 

14 -37 

13  41 

12  49 

12  02 

II  18 

10  37 

9  59 

9  24 

8.52 

8  21 

7  51 

30 

40 

20  19 

19  01 

17  50 

16  45 

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13  56 

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10  22 

40 

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24  33 

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15  13 

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31  48 

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25  28 

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19  21 

18  19 

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10 

20 

3448 

33  01 

31  19 

29  43 

28  II 

26  43 

25  20 

24  02 

22  47 

21  36 

20  28 

19  23 

20 

30 

37  27 

35  36 

33  52 

32  13 

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29  06 

27  40 

26  17 

24  57 

23  42 

22  30 

21  20 

30 

40 

39  43 

t  37  54 

36  08 

34  26 

32  49 

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40 

50 

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39  52 

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34  47 

33  " 

31  40 

30  12 

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27  25 

26  06 

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2 

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44  51 

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46  05 

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37  48 

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31  50 

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29  <H 

20 

30 

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45  26 

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33  01 

31  36 

30  13 

30 

40 

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20 

50  06 

48  38 

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41  28 

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39  26 

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39  14 

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35  *3 

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30  21 

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29  16 

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27  01 

26  15 

10 

20 
30 
40 

33  16 

32  34 

31  51 

31  08 

30  25 

29  42 

28  59 

28  16 

27  32 

26  49 

26  05 

25  22 

20 

32  04 

31  23 

30  41 

30  01 

29  19 

2837 

27  56 

27  15 

26  32 

25  51 

25  09 

24  26 

30 

3050 

30  10 

^§  31 

28  51 

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27  30 

26  51 

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25  30 

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20 
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28  15 

27  39 

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23  58 

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22  44 

22  07 

21  30 

9    00 

26  55 

26  20 

25  45 

25  10 

24  35 

23  59 

23  24 

22  49 

22  14 

21  39 

21  03 

20  28 

10 

25  33 

25  00 

24  26 

23  53 

23  20 

22  46 

22  12 

21  39 

21  06 

20  32 

1958 

19  24 

20 

24  08 

23  37 

23  05 

22  33 

22  02 

21  29 

20  59 

20  27 

19  54 

19  23 

18  51 

18  19 

30 

22  41 

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21  42 

21  12 

20  42 

20  12 

19  43 

19  13 

18  43 

18  12 

17  43 

17  13 

40 

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20  17 

1949 

19  21 

1853 

18  25 

17  57 

17  29 

17  01 

16  33 

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50 

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19  44 

19  17 

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18  24 

17  58 

17  32 

17  07 

16  40 

16  14 

1548 

15  22 

14  57 

10    00 

10 

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17  47 

17  22 

1658 

1633 

16  09 

15  46 

15  21 

14  58 

14  34 

14  10 

T3  45 

10 

20 
30 
40 
50 

16  38 

16  15 

15  53 

15  31 

15  08 

14  46 

14  24 

14  03 

13  40 

13  18 

12  56 

12  34 

20 

15  02 

14  43 

14  22 

14  02 

13  42 

13  22 

13  02 

12  41 

12  22 

12  02 

II  42 

11  22 

30 

13  26 

13  07 

12  50 

12  32 

12  14 

11  56 

II  38 

11  20 

II  02 

10  44 

ID  26 

ID  08 

40 

II  49 

II  32 

II  16 

II  00 

10  44 

10  28 

10  13 

9  57 

941 

9  26 

9  10 

8  54 

50 

Ix 

OO 

10  09 

9  55 

9  41 

9  28 

9  15 

9  01 

847 

833 

8  20 

8  06 

7  53 

7  39 

11     00 

lO 

8  29 

8  17 

8  07 

7  55 

7  43 

7  32 

7  21 

7  10 

658 

6  47 

635 

624 

10  , 

20 

6  48 

6  40 

6  30 

6  21 

6  12 

6  02 

5  53 

5  44 

5  35 

526 

5  17 

508 

20  \ 

30 

5  07 

5  00 

4  53 

4  46 

4  39 

4  32 

4  25 

4  19 

4  12 

4  05 

358 

3  51 

30 

40 

3  25 

3  20 

3  16 

3  II 

306 

3  02 

2  57 

2  53 

2  48 

2  44 

2  39 

2  34 

40 

50 

I  43 

I  40 

I  38 

136 

I  33 

I  31 

I  29 

I  26 

I  24 

I  22 

1  20 

I  18 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  \orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sauth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  irom  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


128 


AZIMUTH    OR   TRUE    BEARING. 


IiATITUI>£  30°. 

DECLINATION— SAME  NAME  AS— LATITUDE. 

LATITUDE  30°. 

Hour  An 

gle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

li. 

m. 

o  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

c   / 

0  / 

0  / 

0  ' 

0  1 

ll.    '  lU. 

0 

OO 

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0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0^ 

0    00 

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2  30 

2  21 

2  13 

2  05 

158 

I  50 

I  43 

I  38 

I  31 

I  26 

I  20 

10 

20 

4  5« 

4  41 

4  25 

4  08 

3  54 

3  40 

3  27 

3  15 

3  02 

2  50 

2  39 

20 

30 

7  24 

6  58 

6  34 

6  12 

5  50 

5  29 

5  09 

4  50 

4  31 

4  14 

3  57 

30 

40 

9  47 

9  14 

8  41 

8  II 

7  42 

7  15 

6  49 

6  24 

6  00 

538 

5  15 

40 

50 

12  05 

II  24 

10  45 

10  08 

9  33 

8  59 

827 

7  57 

.7  27 

6  59 

632 

SO 

1 

OO 

14  17 

13  29 

12  43 

12  00 

II  19 

10  40 

10  03 

9  26 

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8  18 

746 

1     00 

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16  23 

15  29 

14  38 

13  49 

13  02 

12  18 

II  34 

10  53 

10  14 

9  o5 

8  59 

10 

20 

18  22 

17  23 

16  27 

15  32 

14  41 

13  51 

13  03 

12  17 

II  33 

10  50 

10  09 

20 

30 

20  14 

19  10 

18  10 

17  II 

16  15 

15  20 

14  28 

13  38 

12  50 

12  02 

II  17 

30 

40 

21  59 

20  52 

19  47 

•  18  44 

17  44 

16  45 

15  49 

14  55 

14  03 

13  12 

12  22 

40 

50 

23  37 

22  26 

21  17 

20  II 

19  07 

18  05 

17  06 

16  oS 

15  12 

14  17 

13  23 

50 

2 

OO 

25  07 

23  53 

22  41 

21  32 

20  26 

19  21 

18  17 

17  17 

16  18 

15  20 

14  25 

2     00 

10 

26  29 

25  14 

24  00 

22  48 

21  39 

20  31 

19  25 

18  22 

17  20 

16  19 

15  21 

10 

20 

27  44 

26  27 

25  II 

23  58 

22  47 

21  37 

20  29 

19  23 

18  18 

17  15 

16  14 

20 

SO 

28  54 

27  35 

26  18 

25  03 

23  50 

22  38 

21  28 

20  20 

19  12 

18  07 

17  04 

30 

40 

29  56 

2835 

27  18 

26  01 

24  47 

23  34 

22  22 

21  12 

20  04 

1856 

17  50 

40 

50 

30  51 

29  31 

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26  54 

25  39 

24  25 

23  12 

22  01 

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19  41 

18  34 

50 

3 

OO 

31  40 

30  19 

29  01 

27  43 

26  27 

25  12 

23  57 

22  44 

21  33 

20  23 

19  14 

3     00 

10 

32  24 

31  04 

29  44 

28  26 

27  09 

25  54 

24  38 

23  25 

22  13 

21  01 

19  51 

10 

20 

33  01 

31  41 

30  22 

29  04 

27  47 

2631 

25  16 

24  02 

22  48 

21  36 

20  25 

20 

30 

33  34 

32  15 

30  55 

29  37 

28  20 

27  04 

25  48 

24  34 

23  20 

22  07 

20  56 

30 

40 

34  01 

32  43 

31  24 

30  06 

28  50 

27  33 

26  17 

25  02 

23  48 

22  35 

21  22 

40 

50 

34  25 

33  06 

31  48 

30  31 

29  14 

27  58 

26  43 

25  27 

24  13 

23  CO 

21  47 

50 

4 

OO 

34  43 

33  26 

32  08 

30  51 

29  35 

28  19 

27  03 

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24  35 

23  21 

22  08 

4     00 

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34  57 

33  41 

32  24 

31  08 

-  29  52 

2837 

27  22 

26  08 

24  53 

23  39 

22  26 

10 

20 

35  07 

33  51 

32  35 

31  20 

30  05 

28  51 

27  36 

26  21 

25  08 

23  54 

22  41 

20 

30 

35  13 

33  59 

32  44 

31  29 

30  15 

29  01 

27  47 

26  33 

25  20 

24  06 

22  53 

30 

40 

35  16 

34  02 

32  48 

31  34 

30  21 

29  08 

27  54 

26  41 

25  28 

24  16 

23  03 

40 

50 

35  14 

34  03 

32  50 

31  37 

30  24 

29  12 

27  59 

26  47 

25  34 

24  22 

23  10 

50 

6 

OO 

35  10 

33  59 

3248 

31  36 

30  25 

29  12 

28  00 

26  49 

2538 

24  26 

23  14 

5     00 

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35  oi 

33  53 

32  42 

31  32 

30  22 

29  II 

27  59 

26  49 

25  37 

24  27 

23  15 

10 

20 

34  52 

33  43 

32  34 

31  24 

30  15 

29  05 

27  55 

26  45 

25  35 

24  25 

23  15 

20 

30 

34  39 

33  31 

32  22 

31  14 

30  06 

28  58 

27  49 

26  40 

25  30 

24  20 

23  10 

30 

40 

34  22 

33  16 

32  09 

31  02 

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27  39 

26  31 

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23  06 

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50 

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28  34 

27  27 

26  20 

25  13 

24  06 

22  58 

50 

6 

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33  42 

3238 

31  32 

30  28 

29  24 

28  19 

27  13 

26  07 

25  00 

23  54 

22  48 

6     00 

lO 

33  17 

32  14 

31  II 

30  08 

29  05 

28  01 

26.56 

25  51 

24  47 

23  41 

22  36 

10 

20 

32  50 

31  49 

30  47 

29  44 

28  42 

27  40 

26  37 

25  33 

24  30 

23  26 

22  21 

20 

30 

32  21 

31  21 

30  20 

29  20 

28  19 

27  17 

26  15 

25  13 

24  10 

23  07 

22  04 

30 

40 

3t  50 

30  51 

29  51 

28  51 

27  52 

26  52 

25  51 

24  51 

23  50 

22  48 

21  45 

40 

50 

31  16 

30  18 

29  20 

28  22 

27  24 

26  25 

25  26 

24  27 

23  27 

22  26 

21  25 

50 

7 

OO 

30  40 

29  44 

28  47 

27  50 

26  54 

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30  01 

29  07 

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27  16 

26  21 

25  25 

24  28 

23  31 

22  34 

21  37 

20  39 

10 

20 

^  ''I 

28  28 

27  34 

26  40 

25.47 

24  52 

23  57 

23  01 

22  05 

21  09 

20  13 

20 

30 

28  38 

27  47 

26  54 

26  02 

25  10 

24  16 

23  23 

22  29 

21  35 

20  41 

19  46 

30 

40 

27  54 

27  04 

26  13 

25  22 

24  32 

23  40 

22  47 

21  55 

21  03 

20  10 

19  16 

40 

50 

27  08 

26  19 

25  30 

24  41 

23  51 

23  01 

22  II 

21  20 

20  29 

19  37" 

18  46 

50 

8 

OO 

26  19 

25  32 

24  45 

23  57 

23  09 

22  20 

21  31 

20  43 

19  54 

19  03 

18  13 

8     ?« 

lO 

25  30 

24  44 

2358 

23  12 

22  25 

2!  39 

20  51 

20  04 

19  16 

18  27 

17  40 

10 

20 

24  38 

23  53 

23  09 

22  25 

21  40 

20  54 

20  09 

19  24 

18  38 

17  51 

17  05 

20 

30 

23  44 

23  02 

22  19 

21  36 

20  53 

20  09 

19  25 

IS  42 

17  58 

17  13 

16  28 

30 

40 

22  49 

22  08 

21  27 

20  46 

20  05 

19  23 

■  18  41 

17  59 

17  16 

16  33 

15  50 

40 

50 

21  51 

21  13 

20  33 

19  54 

19  14 

18  34' 

17  54 

17  14 

16  33 

15  52 

15  10 

50 

9 

00 

20  53 

20  16 

1938 

19  00 

18  22 

17  44 

17  05 

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15  49 

15  10 

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9     00 

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19  52 

in  17 

18  41 

18  05 

17  29 

16  53 

16  16 

15  40 

15  03 

14  26 

13  49 

10 

20 

18  51 

18  17 

17  43 

17  09 

16  35 

16  01 

15  26 

14  52 

14  17 

13  41 

13  06 

20 

30 

17  48 

17  16 

i5  44 

16  12 

15  39 

15  06 

14  34 

14  02 

13  28 

12  55 

12  22 

30 

40 

16  43 

16  13 

15  42 

15  12 

14  42 

14  12 

13  41 

13  II 

12  39 

12  09 

II  38 

40 

50 

1538 

15  10 

14  41 

14  13 

13  45 

13  17 

12  47 

12  18 

II  50 

II  21 

10  51 

50 

10 

OO 

14  30 

14  04 

13  38 

13  II 

12  46 

12  19 

II  53 

II  26 

10  59 
10  08 

10  32 

10  05 

10     00 

10 

13  22 

12  58 

12  33 

12  09 

II  46 

II  21 

10  56 

10  32 

9  42 

9  17 

10 

20 

12  13 

II  51 

II  28 

II  06 

10  44 

10  22 

9  59 

9  37 

§  '< 

8  52 

8  29 

20 

30 

II  02 

10  43 

10  22 

10  02 

9  43 

9  22 

9  02 

8  42 

8  22 

8  01 

7  40 

30 

40 

9  50 

9  33 

9  15 

857 

8  40 

8  22 

8  04 

7  45 

7  27 

7  09 

6  50 

40 

50 

8  39 

8  24 

8  07 

7  52 

7  37 

7  21 

7  05 

6  49 

633 

6  17 

6  00 

50 

11 

OO 

726 

7  13 

6  59 

6  45 

632 

6  19 

6  05 

5  52 

538 

5  24 

5  10 

11     00 

lO 

6  12 

6  02 

5  50 

5  39 

5  28 

5  17 

5  05 

4  54 

4  42 

4  31 

4  19 

10 

20 

4  59 

4  50 

4  41 

4  32 

4  23 

4  13 

4  04 

3  55 

3  46 

336 

328 

20 

30 

3  45 

338 

3  31 

3  24 

3  17 

3  II 

3  04 

2  57 

2  50 

2  43 

236 

30 

40 

2  30 

2  26 

2  20 

2  16 

2  12 

2  07 

2  03 

I  58 

I  54 

I  49 

I  44 

40 

50 

I  15 

I  12 

I  10 

I  08 

I  06 

I  04 

I  01 

0  59 

0  57 

0  54 

0  52 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name«  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


129 


AZIMUTH  OR  TRUE  BEARING. 


liATITCJOE  31°. 

DECLINATION- 

SAME  NAME  AS— LATITUDE. 

LATITUDE  31°. 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

20° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

li. 

111. 

o    / 

0    1 

0    / 

0    / 

0    / 

0     / 

0    / 

0    / 

0      / 

0    / 

0    1 

0    1 

h.           ni. 

O 

OO 

l8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0  00 

0  00 

0  00 

0           00 

lO 

i6i  50 

159  12 

155  40 

150  44 

143  25 

132  06 

114  16 

89  21 

64  14 

46  00 

34  27 

26  59 

10 

ao 

146  28 

142  27 

137  28 

131  12 

123  20 

"3  32 

1 01  48 

S  43 

75  31 

63-26 

53  14 

45  01 

20 

30 

IM  40 

130  22 

125  20 

119  31 

113  48 

105  13 

96  53 

88  04 

79  10 

70  35 

6239 

55  32 

30 

40 

125  52 

121  46 

117  10 

112  05 

106  30 

ICO  28 

94  03 

87  25 

8045 

74  07 

67  46 

61  50 

40 

50 

"9  15 

115  28 

III  23 

106  58 

102  16 

97  18 

92  00 

86  46 

81  23 

76  02 

.7049 

65  47 

50 

1 

oo 

114  07 

no  43 

107  04 

103  13 

99  09 

94  56 

90  35 

89  iS 

8607 

81  37 

7708 

72  41 

68  22 

1           00 

lO 

no  02 

106  56 

103  40 

100  16 

96  43 

93  04 

85  28 

8i  36 

77  43 

73  52 

70  04 

10 

20 

106  40 

103  51 

100  54 

97  52 

94  43 

91  29 

88  10 

84  49 

81  25 

78  01 

74  36 

71  14 

20 

30 

103  50 

loi  15 

98  35 

95  50 

93  00 

9006 

8709 

84  09 

81  07 

7805 

75  02 

72  00 

30 

40 

101  24 

99  01 

96  34 

94  04 

91  29 

88  52 

86  12 

83  29 

So  45 

78  00 

75  14 

72  29 

40 

50 

99  16 

9703 

9448 

92  30 

90  08 

8744 

85  17 

82  49 

80  19 

7748 

75  17 

72  45 

50 

2 

OO 

97  20 

95  17 

93  12 

91  04 

8853 

86  40 

84  25 

82  09 

79  51 

77  31 

75  12 

72  51 

2           00 

lO 

95  36 

93  42 

91  44 

89  45 

87  43 

85  39 

8334 

81  28 

79  21 

77  II 

75  01 

72  51 

10 

20 

94  01 

92  13 

90  23 

88  31 

8637 

8441 

82  44 

8047 

7847 

76  47 

74  46 

72  44 

20 

30 

92  33 

90  50 

89  06 

87  21 

8535 

8346 

8156 

8005 

78  12 

76  20 

74  27 

7232 

30 

40 

91  10 

89  32 

87  54 

86  14 

84  33 

82  51 

81  08 

7923 

77  37 

75  51 

74  04 

72  16 

40 

50 

8950 

8818 

8645 

85  n 

8334 

81  58 

80  19 

78  41 

77  01 

75  19 

7338 

71  56 

50 

3 

OO 

8835 

87  08 

85  39 

84  08 

82  37 

81  05 

79  32 

7758 

76  22 

74  46 

73  10 

71  33 

3           00 

lO 

87  23 

85  59 

84  34 

83  08 

81  41 

80  12 

77  56 

77  14 

75  43 

74  II 

72  40 

71  07 

10 

ao 

86  14 

84  53 

83  32 

82  08 

8045 

79  20 

76  30 

75-03 

73  35 

72  08 

70  38 

20 

30 

8506 

83  48 

82  30 

81  II 

79  50 

7829 

7708 

75  45 

74  22 

72  58 

71  33 

70  08 

30 

40 

84  CO 

8245 

81  29 

80  12 

7855 

77  37 

76  19 

75  00 

73  39 

72  18 

70  57 

6936 

40 

50 

8255 

81  42 

80  29 

79  16 

78  01 

7645 

75  29 

74  13 

72  56 

71  33 

70  20 

69  01 

50 

4* 

OO 

81  51 

80  41 

79  30 

78  18 

77  07 

75  54 

74  40 

73  27 

72  13 

7058 

69  41 

68  25 

4           00 

lO 

8047 

79  40 

78  31 

77  22 

76  12 

75  01 

73  50 

72  39 

71  26 

70  13 

69  00 

67  47 

10 

SO 

79  45 

78  39 

77  31 

76  24 

75  17 

74  09 

73  00 

71  50 

70  40 

69  29 

68  19 

67  07 

20 

30 

78  42 

77  38 

76  33 

75  27 

74  22 

73  15 

72  08 

71  01 

69  52 

68  44 

67  35 

66  25 

30 

40 

77  40 

76  37 

75  34 

74  30 

73  26 

72  21 

71  16 

70  10 

69  04 

67  57 

6651 

!5  43 

40 

50 

7638 

7536 

74  34 

73  32 

72  30 

7126 

70  22 

69  19 

68  14 

67  10 

66  05 

6458 

50 

5 

OO  " 

75  35 

74  35 

73  34 

72  34 

71  33 

70  30 

69  28 

68  26 

67  23 

66  20 

65  16 

64  12 

5           00 

lO 

74  32 

73  33 

72  34 

71  34 

70  35 

69  34 

68  33 

67  32 

66  31 

65  29 

64  27 

63  24 

10 

20 

73  28 

72  30 

71  33 

70  34 

6936 

6837 

67  37 

66  38 

6538 

64  37 

63  37 

62  36 

20 

30 

72  24 

71  28 

70  30 

69  33 

6836 

6738 

66  40 

65  42 

64  43 

63  43 

62  44 

61  44 

30 

40 

71  20 

70  24 

69  28 

68  32 

6736 

6639 

65  41 

64  44 

63  47 

62  49 

61  51 

60  52 

40 

•    50 

70  14 

69  19 

68  24 

67  28 

6633 

65  37 

64  41 

63  45 

62  49 

61  52 

60  56 

5958 

AG 

6 

OO 

69  06 

68  13 

67  18 

66  24 

65  30 

64  35 

63  40 

62  45 

61  50 

60  53 

5958 

59  02 

6           00 

lO 

6758 

67  06 

66  12 

65  18 

64  25 

63  31 

62  37 

61  43 

60  48 

59  54 

58  59 

58  04 

10 

20 

66  50 

6558 

65  04 

64  12 

63  20 

62  26 

61  33 

60  40 

59  47 

58  52 

57  59 

57  05 

20 

30 

6538 

64  47 

6356 

63  03 

62  12 

61  18. 

60  27 

59  35 

5842 

57  49 

56  57 

56  03 

30 

40 

64  26 

63  35 

62  44 

61  53 

61  02 

60  10 

59  19 

58  28 

57  35 

56  44 

55  53 

55  00 

40 

50 

63  13 

62  22 

61  32 

60  41 

59  51 

59  00 

58  09 

57  19 

5628 

55  37 

54  46 

■  53  54 

50 

7 

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60  17 

59  27 

58  37 

57  47 

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5428 

5338 

52  47 

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59  00 

58  n 

57  23 

5633 

55  44 

54  55 

54  05 

53  16 

52  28 

51  37 

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20 

59  19 

58  30 

57  41 

56  53 

56  05 

55  17 

54  28 

53  40 

52  51 

52  03 

51  15 

50  26 

20 

30 

57  56 

5708 

56  21 

55  33 

54  45 

53.57 

53  10 

52  23 

51  34 

50  48 

50  00 

49  12 

30 

40 

56  32 

55  45 

54  57 

54  10 

53  24 

52  36 

51  49 

51  03 

50  17 

49  30 

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47  56 

40 

50 

55  05 

54  18 

53  32 

52  45 

51  59 

51  12 

5027 

49  41 

48  55 

4809 

47  23 

46  37 

50 

8 

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53  35 

52  49 

52  02 

51  16 

50  32 

49  46 

49  01 

48  16 

47  31 

46  46 

46  01 

45  16 

8           00 

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52  02 

51  17 

50  32 

49  46 

49  02 

48  17 

47  33 

46  49 

46  05 

45  20 

44  37 

43  53 

10 

20 

50  26 

49  41 

48  57 

48  12 

47  29 

46  45 

46  02 

45  19 

44  36 

43  52 

43  09 

42  27 

20 

30 

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47  19 

46  36 

45  53 

45  10 

44  29 

43  46 

43  04 

42  21 

41  40 

40  58 

30 

40 

47  <H 

46  21 

45  39 

44  56 

44  14 

43  32 

42  51 

42  10 

41  29 

40  48 

40  07 

39  26 

40 

50 

45  18 

44  36 

43  54 

43  13 

42  33 

41  51 

41  10 

40  31 

39  51 

39  II 

3832 

37  52 

50 

9 

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43  28 

42  47 

42  07 

41  27 

40  47 

40  07 

39  27 

38  4S 

3809 

37  31 

36  53 

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41  35 

40  55 

40  15 

39  36 

3858 

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37  40 

37  03 

36  25 

35  48 

35  12 

34  35 

10 

20 

39  38 

38  59 

38  21 

37  43 

37  06 

36  28 

35  52 

35  15 

34  39 

34  03 

3328 

32  52 

20 

30 

37  36 

36  59 

36  22 

35  46 

35  10 

34  34 

3358 

33  24 

32  49 

32  14 

31  41 

31  06 

30 
40 

40 

35  32 

34  55 

34  20 

33  45 

33  11 

32  36 

32  02 

31  29 

30  55 

30  23 

29  50 

29  18 

50 

33  22 

32  47 

32  14 

31  40 

31  07 

3034 

30  02 

29  31 

2859 

28  27 

27  57 

27  26 

50 

10 

OO 

31  08 

30  36 

30  04 

29  32 

29  01 

38  30 

27  59 

27  29 

27  00 

26  30 

26  01 

25  33 

10          00 

10 

28  51 

28  20 

27  49 

27  20 

26  50 

26  21 

25  52 

25  25 

24  57 

24  30 

24  03 

23  36 

10 

2* 

26  28 

26  00 

25  32 

25  04 

24  37 

24  09 

23  44 

23  18 

22  52 

22  26 

22  OI 

21  36 

20 

30 

24  03 

23  37 

23  II 

22  45 

22  21 

21  55 

21  31 

21  07 

20  44 

20  20 

1958 

19  35 

30 

40 

21  34 

21  10 

20  46 

20  23 

20  00 

1938 

19  15 

1854 

1833 

18  II 

17  51 

17  31 

40 

50 

19  00 

1839 

i3  18 

17  57 

17  37 

17  17 

16  57 

1638 

16  20 

16  01 

15  43 

15  24 

50 

11 

OO 

16  24 

16  06 

15  47 

15  29 

15  12 

1454 

14  37 

14  20 

14  04 

13  48 

13  32 

13  16 

11           00 

lO 

13  45 

13  29 

13  14 

12  58 

12  43 

12  29 

12  15 

12  00 

II  46 

11  32 

II  19 

II  06 

10 

20 

II  04 

10  51 

10  38 

10  25 

10  13 

10  01 

9  50 

9  39 

9  27 

9  16 

9  06 

8  54 

20 

30 

8  20 

8  09 

8  00 

7  51 

7  42 

7  33 

7  23 

7  15 

7  07 

658 

6  50 

6  43 

30 

40 

5  34 

5  27 

5  20 

5  15 

508 

5  02 

4  57 

4  51 

4  45 

4  40 

4  34 

4  29 

40 

50 

2  47 

2  44 

2  41 

2  38 

2  35 

2  32 

2  39 

2  26 

2  23 

2  20 

2  18 

2  15 

50 

13 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12           00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 

41224°— 16 9 


130 


AZIMUTH  OR  TRUE  BEARING. 


I.ATITUDE  31°. 

DECIvINATION- 

-SAME  NAME  A'S— LATITUDE. 

IiAtitube:  31°. 

Hour 

Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

b. 

in. 

O  1 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

li.    in. 

O 

OO 

0  00 

0  00 

0  00 

0  00- 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0   00 

10 

21  58 

18  22 

15  42 

13  38 

12  02 

10  44 

9  37 

8  43 

756 

7  15 

6  40 

6  09 

10 

20 

38  28 

33  16 

29  06 

25  43 

22  56 

20  35 

18  37 

16  56 

15  29 

14  13 

13  06 

12  07 

20 

30 

49  20 

43  59 

39  22 

35  26 

32  02 

29  06 

26  33 

24  20 

22  22 

20  38 

19  06 

17  43 

30 

40 

56  22 

51  24 

46  54 

42  54 

39  19 

36  08 

33  16 

30  44 

28  27 

26  24 

24  32 

22  51 

40 

50 

61  00 

56  32 

52  23 

48  32 

45  00 

41  47 

38  49 

36  07 

33  40 

31  25 

29  21 

27  28 

50 

1 

OO 

64  10 

60  10 

56  22 

52  46 

49  25 

46  15 

43  20 

40  37 

38  05 

35  44 

33  34 

31  32 

1     00 

lO 

66  22 

62  46 

59  19 

56  00 

52  50 

49  50 

46  59 

44  18 

41  47 

39  25 

37  11 

35  06 

10 

20 

67  55 

64  40 

61  30 

58  26 

55  29 

52  39 

49  55 

47  20 

44  51 

42  30 

40  16 

38  09 

20 

30 

69  00 

66  03 

63  09 

60  18 

57  32 

PtI 

52  17 

49  47 

47  24 

45  06 

42  54 

40  48 

30 

40 

69  44 

67  01 

64  21 

61  43 

59  09 

54  11 

5148 

49  30 

47  16 

45  08 

43  03 

40 

50 

70  14 

67  44 

65  15 

62  48 

60  23 

58  01 

55  42 

53  26 

51  14 

49  04 

46  59 

4458 

50 

2 

OO 

70  32 

68  13 

65  54 

6336 

61  21 

59  07 

56  55 

54  45 

52  39 

50  34 

4833 

46  34 

2    OU 

10 

70  41 

6832 

66  21 

64  12 

62  04 

59  57 

57  52 

55  49 

53  48 

51  48 

49  51 

47  56 

10 

20 

70  42 

68  40 

66  38 

64  36 

62  36 

60  36 

5837 

56  39 

54  43 

5248 

50  55 

49  04 

20 

30 

70  37 

68  42 

66  47 

64  52 

62  58 

61  04 

59  II 

57  18 

55  27 

53  37 

51  48 

50  01 

30 

40 

70  27 

6839 

66  50 

65  01 

63  12 

61  24 

59  36 

5748 

56  02 

54  16 

52  31 

50  47 

40 

50 

70  13 

68  30 

66  46 

65  03 

63  19 

61  36 

59  52 

5809 

56  27 

54  45 

53  04 

51  23 

50 

3 

OO 

69  55 

68  16 

6638 

64  59 

63  20 

61  41 

60  02 

58  24 

5645 

55  07 

53  29 

51  49 

3     00 

lO 

69  33 

67  59 

66  26 

64  51 

63  16 

61  42 

60  06 

5831 

56  57 

55  22 

53  47 

52  14 

10 

20 

69  09 

67  41 

66  09 

^438 

63  08 

61  37 

60  05 

58  33 

57  02 

55  31 

54  00 

52  29 

20 

30 

6843 

67  16 

65  49 

64  22 

62  55 

61  27 

60  00 

5831 

57  03 

55  35 

54  07 

5238 

30 

40 

68  13 

66  50 

65  27 

64  03 

62  39 

61  14 

59  47 

58  24 

56  59 

55  33 

5408 

52  43 

40 

50 

67  41 

66  21 

65  01 

63  40 

62  19 

60  58 

59  35 

5813 

5650 

5528 

54  05 

52  42 

60 

4 

OO 

67  08 

65  51 

64  33 

.  63  15 

61  56 

60  37 

59  18 

5758 

5638 

55  18 

53  5S 

52  37 

4     00 

10 

66  32 

65  18 

64  02 

62  47 

61  31 

60  14 

58  57 

57  40 

56  22 

55  05 

53  47 

52  28 

10 

20 

65  55 

64  42 

63  30 

62  16 

6r  02 

59  48 

5833 

57  18 

56  04 

54  47 

53  32 

52  15 

20 

30 

65  J5 

64  05 

62  54 

61  43 

60  32 

59  20 

58  07 

56  54 

55  41 

54  27 

53  14 

52  00 

30 

40 

64  35 

6326 

62  18 

6i  08 

59  59 

5848 

5738 

56  27 

55  16 

54  05 

52  52 

51  40 

40 

50 

63  52 

62  46 

61  39 

60  31 

59  23 

58  15 

57  06 

55  57 

54  48 

5338 

52  28 

51  17 

50 

5 

OO 

63  08 

62  03 

60  57 

59  51 

5846 

57  39 

56  32 

55  24 

54  17 

53  09 

52  01 

50  52  ■ 

5     00 

10 

62  21 

61  18 

60  15 

59  11 

58  06 

57  00 

55  56 

54  50 

53  44 

52  38 

51  32 

50  24 

10 

20 

61  34 

60  32 

59  29 

58  27 

57  24 

56  21 

55  17 

54  13 

53  09 

52  04 

5058 

49  53 

20 

30 

60  45 

59  44 

58  43 

57  41 

56  40 

55  38 

54  35 

53  34 

52  31 

51  28 

50  24 

49  19 

30 

40 

59  53 

5854 

57  55 

56  54 

55  54 

54  54 

53  53 

52  52 

51  50 

50  48 

49  46 

48  44 

40 

50 

59  00 

58  02 

57  04 

56  05 

55  06 

5408 

5308 

52  08 

51  08 

50  07 

49  07 

48  05 

50 

6 

OO 

58  05 

5708 

56  12 

55  14 

54  17 

53  18 

52  20 

51  22 

50  23 

49  24 

48  25 

47  25 

6     00 

lO 

5708 

56  13 

55  17 

54  20 

53  25 

52  28 

51  31 

50  34 

49  36 

4838 

47  40 

46  41 

10 

20 

56  10 

55  15 

54  21 

53  26 

52  31 

51  35 

50  40 

49  44 

48  47 

47  51 

46  54 

45  57 

20 

30 

55  09 

54  16 

53  23 

52  29 

51  34 

50  40 

49  46 

48  50 

47  56 

47  01 

46  05 

45  09 

30 

40 

54  07 

53  15 

52  23 

51  30 

50  37 

49  43 

48  49 

47  56 

47  f>2 

46  08 

45  14 

44  19 

40 

50 

53  04 

52  12 

51  20 

50  28 

49  37 

48  45 

47  52 

46  59 

46  07 

45  13 

44  20 

43  27 

50 

7 

OO 

51  57 

51  07 

•  50  16 

49  25 

4834 

47  42 

46  51 

46  00 

45  09 

44  17 

43  25 

42  32 

7     00 

10 

5048 

49  59 

49  09 

48  19 

47  30 

46  39 

45  50 

44  59 

44  09 

43  18 

42  28 

41  36 

10 

20 

■  49  37 

48  49 

48  01 

47  II 

46  22 

45  34 

44  45 

43  56 

43  07 

42  17 

41  27 

40  37 

20 

30 

48  25 

47  37 

46  50 

46  02 

45  14 

44  26 

43  39 

42  50 

42  02 

41  14 

40  25 

39  37 
38  33 

30 

40 

47  09 

46  23 

45  37 

44  50 

44  03 

43  16 

42  29 

41  42 

40  55 

40  08 

39  21 

40 

50 

45  52 

45  06 

44  21 

43  36 

42  49 

42  04 

41  19 

40  33 

39  47 

39  01 

38  15 

37  29 

50 

8 

OO 

44  32 

43  47 

43  03 

42  18 

41  34 

40  48 

"  40  05 

39  20 

3835 

37  51 

37  06 

36  21 

8     00 

lO 

43  09 

42  26 

41  42 

40  59 

40  15 

39  32 

38  48 

3806 

37  22 

36  39 

35  55 

35  II 

10 

20 

41  44 

41  02 

40  19 

39  37 

3854 

38  12 

37  31 

36  48 

36  06 

35  25 

34  42 

33  59 

20 

30 

40  16 

39  35 

38  54 

38  13 

37  31 

36  51 

36  10 

35  29 

34  48 

3408 

33  27 

32  46 

30 

40 

38  46 

3806 

37  26 

36  46 

36  07 

35  26 

34  47 

34  07 

33  29 

32  49 

32  09 

31  30 

40 

50 

37  13 

36  35 

35  56 

35  16 

34  38 

34  00 

33  22 

32  43 

32  05 

31  28 

30  50 

30  12 

50 

9 

OO 

35  38 

34  59 

34  23 

33  45 

33  08 

32  32 

31  54 

31  17 

30  41 

30  04 

29  28 

28  52 

9     00 

10 

33  58 

33  23 

32  46 

32  ID 

31  35 

30  59 

30  24 

2948 

29  13 

28  38 

28  04 

27  29 

10 

20 

32  18 

31  42 

31  08 

30  33 

30  00 

29  25 

28  52 

28  17 

27  45 

27  12 

2638 

26  04 

20 

30 

30  33 

29  59 

29  27 

28  54 

28  22 

27  49 

27  17 

26  44 

26  14 

25  41 

25  10 

24  38 

30 

40 

28  46 

28  15 

27  43 

27  12 

26  41 

26  II 

25  40 

25  09 

24  39 

24  09 

23  39 

23  09 

40 

50 

26  57 

26  27 

25  57 

25  28 

2458 

24  29 

24  01 

23  32 

23  04 

22  36 

22  07 

21  39 

50 

lO 

OO 

25  05 

24  36 

24  09 

23  41 

23  13 

22  47 

22  19 

21  51 

21  26 

21  00 

20  33 

20  07 

10     00 

10 

23  09 

22  43 

22  18 

21  52 

21  26 

21  00 

20  36 

20  II 

19  46 

19  22 

1858 

18  33 

10 

20 

21  12 

20  48 

20  25 

20  00 

19  37 

19  14 

18  50 

18  27 

18  05 

17  42 

17  20 

16  58 

20 

30 

19  12 

18  50 

18  28 

18  07 

17  45 

17  24 

17  03 

16  42 

16  21 

16  01 

15  41 

15  21 

30 

40 

17  10 

16  51 

16  31 

16  II 

15  52 

15  33 

15  14 

14  56 

14  37 

14  18 

14  00 

13  41 

40 

50 

15  06 

14  49 

14  32 

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13  57 

13  40 

13  24 

13  07 

12  51 

12  34 

12  19 

12  02 

50 

11 

OO 

13  00 

12  45 

12  30 

12  16 

12  00 

II  46 

II  31 

II  17 

II  03 

10  49 

10  35 

10  21 

11     00 

10 

10  53 

10  40 

10  27 

10  15 

10  03 

9  50 

9  38 

9  26 

9  14 

9  03 

851 

8  40 

10 

20 

8  44 

8  34 

8  24 

8  13 

8  04 

7  54 

7  44 

7  35 

7  25 

7  15 

706 

6  56 

20 

30 

•6  34 

6  26 

6  18 

6  II 

6  03 

556 

5  49 

5  42 

5  34 

5  27 

5  20 

5  13 

30 

40 

4  23 

4  17 

4  13 

4  08 

4  03 

358 

3  53 

348 

3  44 

3  39 

3  34 

3  29 

40 

50 

2  12 

2  09 

2  c6 

2  04 

2  02 

I  59 

156 

I  54 

I  51 

I  49 

I  46 

I  44 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Jforth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  lame,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


131 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  31°. 

DECI.IXATION- 

-SAME 

NAME 

AS— LATITUDE. 

LATITITDE  31°. 

Hour  Angle. 

48° 

490 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

b. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

it.    m. 

O 

00 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

5  42 

5  17 

4  55 

4  35 

i  '7 

4  00 

3  45 

3  31 

3  18 

3  07 

2  55 

244 

10 

20 

^J  ^2 

10  26 

9  43 

9  05 

8  29 

7  57 

7  27 

6  59 

6  34 

6  10 

5  48 

527 

20 

30 

i6  28 

15  21 

14  20 

13  24 

12  33 

II  46 

II  02 

ID  22 

10  44 

9  09 

837 

8  07 

30 

40 

21  20 

19  56 

1839 

17  28 

16  25 

15  24 

14  29 

13  37 

12  49 

12  04 

II  21 

ID  42 

40 

SO 

25  44 

24  08 

22  39 

21  17 

20  01 

18  50 

17  44 

1642 

1545 

14  50 

13  59 

13  II 

50  1 

1 

OO 

29  40 

27  55 

26  17 

2446 

23  21 

22  01 

20  46 

19  36 

18  31 

17  28 

16  29 

15  34 

1     00  ! 

lO 

33  08 

31  18 

29  33 

27  56 

26  24 

2458 

23  36 

22  18 

21  05 

19  57 

18  51 

17  49 

10 

20 

36  10 

34  16 

30  46 

29  09 

2738 

26  10 

24  47 

23  30 

22  15 

21  04 

1957 

20 

30 

3848 

36  52 

35  02 

33  18 

31  38 

30  03 

28  31 

27  05 

25  43 

24  24 

23  07 

21  56 

30 

40 

41  03 

39  09 

37  18 

35  32 

33  51 

32  13 

30  40 

29  10 

27  44 

26  21 

25  02 

23  46 

40  i 

50 

43  00 

41  06 

39  16 

37  31 

3548 

34  09 

32  33 

31  02 

29  34 

28  09 

2647 

25  27 

50 

2 

OO 

44  40 

42  48 

41  00 

39  14 

37  32 

35  53 

34  16 

32  43 

31  14 

29  47 

28  22 

27  01 

2    00 

lO 

46  04 

44  14 

42  27 

4044 

39  02 

37  24 

35  47 

34  14 

32  43 

31  15 

29  49 

2826 

10 

20 

47  15 

45  28 

43  43 

42  01 

40  21 

3843 

37  07 

35  33 

34  03 

32  34 

31  08 

29  44 

20 

30 

4S  15 

46  31 

44  48 

43  08 

41  29 

39  52 

-3817 

3644 

35  13 

33  45 

32  18 

3053 

30 

40 

49  04 

47  23 

'^^  42 

44  04 

42  28 

40  52 

39  18 

37  46 

36  16 

34  47 

33  20 

31  55 

40 

50 

49  44 

4806 

46  28 

44  52 

43  17 

41  43 

40  II 

38  40 

37  10 

35  42 

34  15 

32  50 

50 

3 

OO 

50  16 

4841 

47  06 

45  32 

4358 

42  26 

4055 

39  25 

37  57 

3630 

35  03 

33  39 

3    00 

lO 

50  4.1 

4908 

47  36 

46  04 

44  33 

43  02 

41  32 

4005 

3838 

37  11 

35  45 

34  21 

lO 

20 

5058 

49  28 

47  58 

46  29 

45  00 

43  32 

42  04 

40  37 

39  12 

37  45 

36  21 

3458 

20 

30 

51  10 

49  43 

48  16 

46  50 

45  22 

43  55 

42  29 

41  03 

39  40 

38  15 

36  52 

35  29 

30 

40 

51  17 

49  52 

48  27 

47  02 

45  37 

44  13 

42  48 

41  25 

40  02 

3839 

37  i6 

35  54 

40 

oO 

51  19 

49  56 

4833 

47  " 

45  47 

44  25 

43  03 

41  40 

40  19 

3857 

37  36 

36  15 

50 

4 

OO 

51  17 

49  55 

48  35 

47  14 

45  53 

44  32 

43  12 

41  51 

40  31 

39  12 

37  51 

36  32 

4    00 

lO 

51  10 

49  51 

4832 

47  14 

45  54 

44  35 

43  17 

41  58 

40  39 

39  20 

38  02 

36  43 

10 

20 

50  59 

49  43 

48  26 

47  09 

45  52 

44  34 

43  17 

42  00 

40  43 

39  26 

3808 

36  52 

20 

30 

50  45 

49  31 

48  15 

^l  °k 

45  45 

44  30 

43  14 

4158 

40  43 

39  27 

38  II 

36  55 

30 

40 

50  27 

49  15 

48  02 

4648 

45  34 

44  21 

43  07 

41  53 

4039 

39  24 

38  10 

36  55 

40 

50 

50  06 

48  55 

47  44 

46  33 

45  21 

44  09 

42  56 

41  43 

40  31 

39  18 

38  04 

36  52 

50  ; 

5 

OO 

49  43 

4834 

47  24 

46  15 

45  04 

43  53 

42  42 

41  31 

40  20 

^^ 

37  57 

36  45 

5     00 

lO 

49  17 

48  09 

47  01 

45  52 

44  44 

43  35 

42  26 

41  16 

40  07 

37  46 

3636 

10  1 

20 

48  47 

47  41 

4^35 

45  28 

44  21 

43  13 

42  05 

40  57 

39  50 

3841 

37  31 

36  22 

20 

30 

48  16 

47  14 

4606 

45  01 

43  55 

42  49 

41  42 

40  35 

39  29 

38  22 

37  14 

36  06 

30  j 

40 

47  39 

46  37 

45  34 

44  30 

43  26 

42  21 

41  16 

40  II 

39  06 

38  00 

36  54 

35  48 

40  I 

50 

47  04 

46  03 

45  00 

4358 

42  55 

41  51 

40  48 

39  44 

38  40 

37  36 

36  30 

35  26 

50  1 

6 

OO 

46  24 

4554 

44  23 

43  23 

42  21 

41  19 

40  17 

39  15 
38  43 

38  12 

37  09 

36  05 

35  02 

6    00 

lO 

45  43 

44  44 

43  45 

42  45 

41  44 

40  44 

39  43 

37  42 

3639 

35  37 

34  35 

10 

20 

44  59 

44  01 

43  03 

42  05 

41  06 

40  07 

39  08 
3748 

38  o3 

3708 

3608 

35  06 

34  05 

20 

30 

44  13 

43  16 

42  19 

41  22 

40  25 

3928 

37  31 

36  32 

35  33 

34  34 

33  34 

30 

40 

43  24 

42  29 

41  34 

40  37 

3942 

3845 

3651 

35  55 

34  57 

33  59 

33  00 

40 

50 

42  34 

41  40 

4046 

3951 

3856 

38  00 

37  05 

36  ID 

35  14 

3418 

33  21 

32  25 

50 

7 

OO 

41  40 

40  48 

39  55 

39  02 

3809 

37  14 

36  21 

35  26 

34  31 

33  36 

32  41 

31  46 

7     00 

lO 

40  45 

39  53 

39  01 

38  10 

37  18 

36  25 

35  33 

34  40 

33  47 

32  53 

31  59 

31  05 

10 

20 

39  48 

3857 

38  07 

37  17 

36  26 

35  35 

34  44 

33  51 

33  00 

32  08 

31  15 

30  23 

20 

30 

3848 

37  59 

37  10 

36  22 

35  31 

34  42 

33  51 

33  02 

32  12 

31  20 

30  30 

29  39 

30 

40 

37  47 

3658 

36  II 

35  24 

34  34 

33  47 

32  57 

32  09 

31  20 

30  31 

29  41 

28  52 

40 

50 

36  42 

35  56 

35  10 

34  23 

33  36 

32  50 

32  02 

31  15 

30  27 

29  39 

28  51 

28  03 

50 

8 

OO 

35  36 

34  51 

34  06 

33  21 

32  35 

31  50 

31  04 

30  18 

29  33 

28  46 

27  59 

27  13 

8     00 

10 

34  28 

33  45 

33  00 

32  17 

31  33 

30  49 

30  05 

29  20 

28  35 

27  51 

27  05 

26  20 

10 

20 

33  17 

32  35 

31  53 

31  II 

30  28 

29  45 
28  40 

29  02 

28  20 

27  37 

26  53 

26  10 

25  26 

20 

30 

32  05 

31  24 

30  43 

3003 

29  22 

27  59 

27  17 

2636 

25  54 

25  12 

24  30 

30 

40 

30  51 

30  II 

29  32 

2853 

28  13 

27  32 

2653 

26  13 

25  34 

24  53 

24  13 

23  33 

40 

50 

29  34 

28  56 

28  18 

27  40 

27  02 

26  24 

25  46 

25  07 

24  29 

23  51 

23  12 

22  33 

50 

9 

OO 

28  15 

'I^o 

27  02 

26  26 

25  50 

25  13 

24  37 

24  00 

23  23 

22  46 

22  10 

21  33 

9     00 

lO 

2654 

26  18 

25  44 

25  10 

24  35 

24  00 

23  25 

22  50 

22  16 

21  40 

21  05 

20  30 

10 

20 

25  32 

24  58 

24  25 

23  52 

23  18 

22  46 

22  13 

21  39 

21  06 

20  33 

19  59 

19  26 

20 

30 

24  07 

23  35 

23  03 

22  32 

22  01 

21  28 

20  58 

20  27 

1956 

19  24 

18  53 

18  22 

30 

40 

22  40 

22  10 

21  40 

21  II 

20  42 

20  II 

19  42 

19  13 

18  44 

18  13 

17  43 

17  15 

40 

50 

21  II 

20  43 

20  16 

1948 

19  20 

18  52 

18  25 

17  57 

17  30 

17  02 

i6  34 

16  06 

50 

lO 

OO 

19  41 

19  15 

1S49 

18  23 

17  57 

17  32 

17  05 

16  40 

16  15 

1549 

15  22 

14  57 

10     00 

lO 

18  09 

17  44 

17  21 

16  57 

16  33 

16  09 

15  45 

15  21 

14  58 

14  34 

14  10 

13  43 

10 

20 

16  35 

16  13 

15  52 

15  30 

15  08 

14  46 

14  24 

14  02 

13  40 

13  18 

12  57 

12  35 

20 

30 

15  00 

1440 

14  21 

14  01 

13  41 

13  21 

13  01 

12  42 

12  22 

12  02 

II  42 

II  32 

30 

40 

13  24 

13  05 

12  48 

J2  31 

.12  13 

II  55 

II  37 

II  19 

II  01 

1044 

10  27 

ID  09 

40 

oO 

II  47 

II  30 

II  14 

10  59 

1043 

10  27 

10  12 

9  57 

9  41 

926 

9  ID 

855 

50 

11 

OO 

10  07 

9  54 

940 

9  27 

9  13 

9  00 

847 

833 

8  20 

8  07 

7  53 

7  39 

11     00 

lO 

8  28 

a  16 

805 

7  53 

7  42 

7  31 

7  20 

7  09 

6  58 

646 

635 

624 

10 

20 

6  47 

638 

6  29 

6  20 

6  II 

6  02 

5  53 

5  43 

5  34 

526 

5  17 

508 

20 

30 

506 

4  59 

452 

4  45 

4  38 

4  31 

4  25 

4  18 

4  12 

4  05 

358 

3  51 

30 

40 

3  24 

3  19 

3  15 

3  10 

3  05 

3  01 

2  56 

2  52 

2  48 

2  43 

2  39 

2  35 

40 

50 

I  43 

I  40 

I  38 

136 

1  33 

I  31 

I  29 

I  27 

I  24 

I  22 

I  19 

I  17 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00  : 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East ;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


132 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDS:  31°. 

DECWNATION— SAME  NAME  AS— 

LATITUDE. 

liATlTUDE!  31°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

Si. 

m. 

o  / 

0  / 

0  f 

0  r 

0  / 

0  / 

0  , 

0  / 

0  / 

0  t 

0  / 

Ii.    ni. 

o 

OO 

o  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

00 

lO 

2  35 

2  25 

2  17 

2  08 

2  00 

I  54 

I  46 

I  39 

I  33 

I  27 

I  22 

10  . 

20 

5  07 

4  49 

4  32 

4  16 

4  01 

3  45 

3  3-? 

3  19 

3  06 

2  54 

2  42 

20 

30 

738 

7  II 

6  45 

6  22 

5  59 

5  37 

5  16 

4  56 

438 
6  08 

4  20 

4  03 

30 

40 

10  05 

9  29 

8  56 

8  24 

7  55 

7  26 

6  59 

633 

5  45 

5  22 

40 

60 

12  26 

II  43 

II  02 

10  24 

9  47 

9  12 

839 

8  07 

7  37 

708 

6  40 

50 

1 

OO 

14  42 

13  52 

13  04. 

12  20 

11  36 

10  56 

10  17 

9  39 

9  04 

8  29 

756 

1    00 

lO 

16  51 

15  55 

15  01 

14  10 

13  22 

12  35 

II  50 

11  08 

10  27 

9  47 

9  10 

10 

20 

18  52 

17  51 

16  52 

15  56 

15  02 

14  II 

13  21 

12  33 

II  47 

II  04 

10  21 

20 

30 

20  47 

19  40 

1837 

17  37 

16  38 

15  42 

14  47 

13  56 

13  05 

12  15 

II  31 

30 

40 

22  33 

21  22 

20  15 

19  10 

18  08 

17  07 

16  10 

15  13 

14  19 

13  28 

12  37 

40 

50 

24  12 

22  58 

21  47 

20  39 

19  33 

18  29 

17  27 

16  28 

15  30 

14  34 

13  40 

50 

2 

OO 

25  43 

24  27 

23  12 

22  02 

20  52 

19  45 

18  41 

1738 

16  37 

1538 

14  41 

2     00 

10 

27  06 

25  47 

24  31 

23  18 

22  06 

20  56 

19  49 

.  18  44 

17  40 

1638 

15  38 

10 

20 

28  21 

27  01 

25  44 

24  29 

23  15 

22  03 

20  53 

19  45 

1839 

17  34 

16  32 

20 

30 

29  31 

28  09 

26  50 

25  33 

24  17 

23  04 

21  52 

20  42 

19  34 

18  27 

17  22 

30 

40 

30  31 

29  10 

27  49 

26  32 

25  15 

24  00 

22  47 

21  35 

20  25 

19  16 

18  09 

40  i 

50 

31  27 

30  05 

28  44 

27  25 

26  07 

24  51 

23  37 

22  23 

21  12 

20  02 

18  52 

50 

3 

OO 

32  16 

30  53 

29  32 

28  12 

26  54 

25  37 

24  22 

23  07 

21  55 

20  44 

19  33 

3     00 

lO 

3258 

31  36 

30  15 

28  55 

27  37 

26  19 

25  03 

2348 

22  34 

21  22 

30  10 

10 

20 

33  35 

32  13 

30  52 

29  33 

28  14 

26  57 

25  40 

24  24 

23  10 

21  56 

20  43 

20 

30 

34  07 

32  46 

31  25 

30  06 

28  48 

27  30 

26  13 

24  57 

23  42 

22  27 

21  14 

30 

40 

34  34 

33  13 

31  53 

30  35 

29  16 

2758 

26  41 

25  25 

24  10 

22  55 

21  41 

40 

50 

34  56 

33  35 

32  16 

30  59 

29  41 

28  22 

27  06 

25  49 

24  34 

23  20 

22  05 

50 

4 

OO 

35  13 

33  54 

32  35 

31  17 

30  00 

28  43 

27  27 

26  10 

24  55 

23  41 

22  26 

4     00 

lO 

35  26 

34  07 

32  50 

31  33 

30  17 

29  00 

27  44 

26  28 

25  13 

23  58 

22  43 

is 

20 

35  34 

34  18 

33  01 

31  45 

30  29 

29  13 

27  58 

26  42 

25  28 

24  13 

22  58 

20 

30 

35  39 

34  23 

33  07 

31  53 

30  38 

29  22 

28  08 

26  53 

25  38 

24  25 

23  10 

30 

40 

35  41 

34  26 

33  12 

31  57 

30  43 

29  29 

28  15 

27  00 

25  47 

24  33 

23  20 

40 

50 

35  39 

34  26 

33  12 

31  59 

30  45 

29  32 

28  19 

27  05 

25  52 

24  39 

23  26 

50 

5 

OO 

35  33 

34  21 

33  09 

31  57 

30  44 

29  32 

28  19 

27  07 

25  55 

24  43 

23  30 

5     00 

lO 

35  25 

34  14 

33  02 

31  51 

30  40 

29  29 

28  17 

27  05 

25  54 

24  43 

23  31 

10  i 

20 

35  13 

34  03 

32  53 

31  44 

30  33 

29  24 

28  13 

27  01 

25  51 

24  40 

23  30' 

20 

30 

3458 

33  50 

32  41 

31  33 

30  24 

29  14 

28  05 

26  55 

25  45 

24  36 

23  25 

30 

40 

34  40 

33  34 

32  27 

31  19 

30  12 

29  03 

27  55 

26  46 

2538 

24  29 

23  19 

•  40 

50 

34  21 

33  15 

32  08 

31  03 

29  57 

28  49 

27  42 

26  35 

25  27 

24  19 

23  II 

50 

6 

OO 

33  58 

32  53 

31  48 

30  44 

29  38 

28  33 

27  27 

26  21 

25  14 

24  08 

23  01 

6     00 

lO 

33  32 

32  29 

31  25 

30  22 

29  18 

28  14 

27  09 

26  04 

24  59 

23  53 

22  48 

10 

20 

33  05 

32  03 

31  00 

2958 

2856 

27  53 

26  49 

25  46 

24  42 

23  37 

22  33 

20 

30 

32  34 

.  31  33 

30  33 

2932 

28  31 

27  29 

26  27 

25  24 

24  22 

23  19 

22  15 

30 

40 

32  02 

31  02 

30  03 

29  04 

28  04 

27  04 

26  03 

25  02 

24  00 

22  59 

21  56 

40 

50 

31  27 

30  29 

29  32 

28  34 

27  35 

26  36 

25  36 

24  36 

23  37 

22  37 

21  36 

50 

7 

OO 

30  50 

29  54 

28  57 

28  01 

27  03 

26  06 

25  08 

24  10 

23  12 

22  13 

21  13 

7     00 

lO 

30  12 

29  16 

28  37 

28  21 

27  26 

26  30 

25  34 

24  38 

23  41 

22  44 

21  47 

20  48 

10 

SO 

2931 

27  43 

26  49 

25  55 

25  00 

24  06 

23  10 

22  15 

21  19 

20  21 

20 

30 

28  47 

27  55 

27  02 

26  10 

25  19 

24  25 

23  31 

22  38 

21  44 

20  49 

19  54 

30 

40 

28  02 

27  II 

26  20 

25  30 

24  39 

23  48 

22  56 

22  03 

21  10 

20  18 

19  24 

40 

50 

27  15 

26  26 

25  37 

24  48 

23  58 

23  09 

22  18 

21  27 

20  37 

19  45 

18  53 

50 

8 

OO 

26  26 

2538 

24  51 

24  03 

23  16 

22  27 

21  38 

20  49 

20  00 

19  10 

18  20 

8     00 

lO 

25  36 

24  50 

24  04 

23  18 

22  31 

21  44 

20  57 

20  ID 

19  23 

18  35 

1748 

10 

20 

24  43 

23  58 

23  13 

22  30 

21  45 

21  00 

20  15 

19  29 

18  44 

17  59 

17  14 

20 

30 

23  49 

23  05 

22  23 

21  41 

20  57 

20  14 

19  30 

1846 

18  03 

17  20 

16  37 

30 

40 

22  53 

22  12 

21  30 

20  50 

20  09 

19  27 

18  45 

18  03 

17  21 

16  40 

15  59 

40 

50 

21  55 

21  15 

20  36 

19  58 

19  18 

1838 

17  59 

17  17 

16  38 

16  00 

15  20 

50 

» 

OO 

20  56 

20  19 

19  41 

19  04 

iS  26 

1748 

17  II 

16  32 

15  52 

15  12 

14  32 

9     00 

lO 

1956 

19  19 

18  44 

18  08 

17  33 

1656 

16  20 

15  43 

15  07 

14  31 

13  55 

10 

20 

18  54 

18  20 

17  45 

17  12 

16  38 

16  04 

15  28 

14  54 

14  20 

13  46 

13  12 

20 

30 

17  49 

17  18 

16  46 

16  14 

15  42 

15  10 

14  37 

14  04 

13  32 

13  00 

12  28 

30 

40 

16  44 

16  14 

15  44 

15  14 

14  45 

14  14 

13  44 

13  13 

12  43 

12  13 

II  43 

40 

50 

15  3S 

15  10 

14  43 

14  15 

13  47 

13  19 

12  50 

12  21 

II  53 

II  25 

10  57 

50 

lO 

OO 

14  31 

14  05 

13  39 

13  13 

12  47 

12  21 

II  54 

II  28 

11  01 

10  34 

10  07 

10   00 

lO 

13  22 

12  58 

12  34 

12  II 

II  47 

II  23 

10  58 

10  33 

10  09 

9  45 

9  21 

10 

20 

12  13 

II  52 

II  29 

II  08 

10  46 

10  23 

10  01 

9  39 

9  17 

8  55 

8  33 

20 

30 

11  03 

10  43 

10  23 

ID  03 

■9  43 

9  23 

9  04 

8  43 

8  23 

8  03 

7  43 

30 

40 

9  52 

9  33 

9  16 

8  58 

8  41 

8  23 

8  05 

■  7  47 

7  29 

7  II 

653 

40 

50 

8  39 

8  23 

8  08 

7  52 

7  37 

7  21 

7  05 

6  50 

6  34 

6  18 

6  02 

50 

11 

OO 

7  26 

7  13 

6  59 

6  46 

633 

6  19 

6  06 

5  52 

5  39 

526 

5  13 

11     00 

lO 

6  13 

6  02 

5  51 

5  39 

528 

5  18 

506 

4  54 

4  43 

4  30 

4  18 

10 

20 

4  59 

4  50 

4  41 

4  32 

4  24 

4  14 

4  05 

3  56 

3  47 

338 

3  28 

20 

30 

3  45 

338 

3  31 

3  24 

3  17 

3  II 

3  04 

2  57 

2  50 

2  43 

2  37 

30 

40 

2  29 

2  25 

2  21 

2  16 

2  12 

2  07 

2  03 

I  58 

I  54 

I  49 

I  45 

40 

50 

I  15 

I  13 

I  II 

I  09 

I  06 

I  04 

I  02 

I  00 

0  57 

0  55 

0  53 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

J  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declioatlon  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azi&uth  is  to  be  taken  for  the  required  true  bearing. 


133 
AZIMUTH  OR  TRU£  BEARING. 


luATITUDE  32°. 

DECLINATIOX- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  32°.    | 

J 

°  Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

.30° 

31° 

32° 

33° 

340 

35° 

Hoar  Angle. 

11.               lU. 

o     / 

0    / 

0     r 

0    / 

0    ' 

0    / 

0    / 

0    ' 

0    / 

0    ' 

0    ' 

0    t 

li.          m. 

O           OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0  00 

0  00 

0          00 

lO 

163  59 

161  58 

159  22 

155  51 

150  56 

143  41 

132  22 

114  28 

89  20 

6358 

45  41 

34  07 

10 

20 

149  54 

146  39 

142   40 

137  42 

131  27 

123  34 

113  43 

101  53 

S5  40 

75  19 

63  09 

52  54 

20 

30 

138  34 

134  52 

130  35 

125  33 

119  42 

1(2  58 

105  20 

96  54 

88  01 

79  01 

70  20 

62  20 

30 

40 

129  43 

126  03 

121  56 

117  10 

112  14 

106  36 

100  31 

94  03 

^?^' 

803+ 

73  53 

67  30 

40 

50 

122  51 

119  23 

"5  36 

III  30 

107  04 

102  19 

97  18 

92  03 

86  41 

81  14 

75  49 

70  32 

50 

1            OO 

"7  25 

114  13 

no  48 

107  08 

103  15 

99  II 

94  55 

90  31 

86  01 

81  27 

76  55 

72  26 

1          00 

10 

113  01 

no  04 

106  59 

103  42 

100  16 

96  42 

93  00 

89  12 

85  20 

81  25 

77  30 

73  37 

10 

20 

T09  23 

106  41 

103  51 

100  54 

97  49 

94  40 

91  24 

88  03 

84  40 

81  13 

77  47 

74  20 

20 

30 

106  16 

103  49 

loi  14 

9832 

95  46 

92  55 

90  00 

87  01 

83  59 

8055 

77  51 

74  46 

30 

40 

103  40 

loi  21 

9857 

96  30 

9358 

91  23 

88  44 

86  02 

83  18 

80  32 

f  7  45 

74  58 

40 

60 

101  20 

99  " 

96  59 

94  42 

92  22 

90  00 

8734 

8507 

8237 

80  06 

77  33 

74  59 

50 

2           OO 

99  15 

97  14 

95  10 

93  05 

90  55 

8843 

86  29 

84  13 

81  55 

79  35 

77  16 

74  54 

2          00 

lO 

97  21 

9528 

93  33 

91  35 

89  34 

87  32 

8528 

83  21 

81  13 

79  04 

76  54 

74  43 

10 

20 

9538 

93  52 

92  03 

90  12 

88  19 

86  24 

8429 

82  31 

80  31 

78  30 

76  28 

74  27 

20 

30 

94  01 

92  21 

9038 

88  54 

87  08 

85  20 

8331 

81  40 

7948 

77  55 

76  01 

74  06 

30 

40 

92  32 

0056 

89  19 

87  40 

86  cxj 

84  18 

82  35 

80  51 

79  05 

77  18 

75  31 

73  42 

40 

50 

91  07 

8936 

88  04 

86  30 

84  54 

83  18 

81  40 

80  01 

78  21 

76  41 

7458 

73  16 

50 

3           OO 

8946 

88  19 

8651 

8522 

83  51 

82  20 

8046 

79  12 

77  37 

76  01 

74  24 

72  47 

3          00 

10 

88  29 

8705 

8541 

84  16 

82  49 

81  21 

79  53 

78  23 

76  52 

75  21 

73  49 

72  16 

10 

20 

87  14 

85  54 

8434 

83  11 

81  48 

80  25 

79  00 

77  35 

76  07 

74  40 

73  12 

71  43 

20 

30 

86  02 

84  45 

8327 

82  08 

80  48 

79  29 

78  07 

76  44 

75  21 

7358 

72  33, 

71  07 

30 

40 

8452 

8337 

82  22 

81  07 

79  49 

78  51 

78  32 

77  13 

75  55 

74  35 

73  14 

71  53 

70  31 

40    1 

50 

8343 

82  31 

81  18 

80  05 

77  36 

76  21 

75  04 

73  47 

72  30 

71  12 

69  53 

50    j 

4           OO 

8236 

81  26 

80  16 

79  05 

77  52 

76  41 

75  27 

74  14 

72  59 

71  44 

70  %9 

69  12 

4           00    ; 

10 

81  29 

80  21 

79  03 

7804 

7655 

75  45 

74  33 

73  22 

72  10 

70  57 

69  44 

68  31 

10 

20 

80  23 

79  17 

78  11 

77  04 

75  56 

74  49 

73  40 

72  30 

71  21 

70  10 

69  00 

6748 

20 

30 

79  18 
78  12 

78  13 

77  09 

76  03 

7458 

73  52 

■72  45 

71  38 

7030 

69  22 

68  13 

67  04 

30 

40 

77  10 

76  07 

75  04 

74  00 

72  55 

71  50 

70  44 

69  39 

68  32 

67  25 

66  18 

40 

50 

77  07 

76  06 

75  04 

74  03 

7300 

71  57 

7054 

69  50 

6846 

67  41 

6636 

6528 

50 

6           OO 

76  02 

75  01 

74  02 

73  01 

72  00 

70  59 

69  57 

6855 

67  52 

66  50 

65  46 

64  41 

5           00 

lO 

74  55 

73  57 

72  59 

71  59 

70  59 

70  00 

68  59 

67  59 

66  58 

6556 

64  54 

6352 

10 

20 

73  50 

72  53 

71  55 

7057 

69  59 

6966 

68  00 

67  02 

66  02 

65  02 

64  01 

63  00 

20 

30 

72  43 

71  46 

70  50 

69  53 

6856 

67  59 

67  01 

6603 

65  04 

64  05 

6306 

62  07 

30 

40 

71  36 

70  40 

69  45 

68  50 

67  53 

6657 

66  00 

65  03 

64  06 

63  08 

62  10 

61  12 

40 

SO 

70  28 

6934 

68  40 

6745 

6650 

65  54 

6458 

64  02 

6306 

62  10 

61  13 

60  16 

50 

6           OO 

^  '' 

68  25 

67  31 

6638 

65  43 

64  49 

63  55 

63  00 

62  05 

61  09 

60  13 

59  18 

6           00 

lO 

67  16 

66  23 

65  30 

64  37 

63  44 

62  50 

61  56 

61  02 

6008 

59  13 

^18 

10 

20 

66  p 

66  06 

65  13 

64  22 

63  29 

6237 

61  44 

60  51 

5958 
58  52 

59  04 

58  10 

57  17 

20 

30 

65  45 

64  53 

64  02 

63  II 

62  19 

61  28 

60  35 

59  44 

57  59 

57  06 

56  II 

30 

40 

64  31 

63  40 

6249 

61  58 

61  07 

60  17 

59  26 

58  35 

57  44 

56  52 

56  00 

5508 

40    1 

50 

63  15 

62  24 

61  35 

6045 

59  55 

59  05 

58  14 

57  24 

56  34 

55  43 

54  53 

54  02 

50 

7           OO 

61  57 

61  08 

60  19 

59  29 

5840 

57  51 

57  02 

56  12 

55  22 

54  32 

53  43 

52  53 

7           00 

lO 

60  37 

59  49 

59  00 

58  II 

57  23 

56  35 

55  46 

54  57 

5408 

53  20 

52  31 

51  42 

10 

20 

59  15 

58  27 

57  40 

56  53 

56  04 

55  16 

54  28 

53  4J 

52  53 

52  05 

51  17 

50  29 

20 

30 

57  51 

57  04 

56  17 

55  30 

54  44 

53  56 

53  09 

52  22 

51  35 

50  48 

50  01 

49  16 

30 

40 

56  26 

55  39 

54  52 

54  06 

53  19 

52  34 

51  48 

51  01 

50  15 

49  28 
4807 

4842 

47  56 

40 

'50 

54  57 

54  " 

53  25 

52  39 

51  54 

51  08 

50  23 

49  37 

4852 

47  22 

46  37 

50 

H           OO 

53  26 

52  40 

51  55 

51  10 

50  25 

4940 
48  10 

4856 

48  II 

47  27 

4643 

45  59 

45  15 

8           00 

lO 

51  52 

51  07 

50  23 

4938, 

48  54 

47  26 

46  43 

46  00 

45  16 

44  33 

43  50 

10 

20 

50  14 

49  30 

48  47 

4804 

47  20 

46  37 

45  54 

45  12 

44  29 

43  47 

43  05 

42  23 

20 

30 

48  34 

47  51 

4708 

46  26 

45  43 

45  01 

44  20 

43  38 

42  57 

42  16 

41  34 

40  53 

SO 

40 

46  51 

46  08 

45  27 

44  45 

44  04 

43  23 

42  42 

42  01 

41  21 

40  40 

40  01 

39  21 

40 

50 

45  05 

44  23 

43  42 

43 -02 

42  21 

41  41 

41  01 

40  22 

39  43 

39  03 

38  25 

37  45 

50 

9           OO 

43  ^3 

42  33 

41  53 

41  14 

40  34 

3956 

39  17 

3839 

3801 

37  23 

36  45 

36  oS" 

9           00 

lO 

41  20 

4041 

40  02 

39  23 

3845 

38  08 

37  30 

36  53 

36  16 

35  40 

35  03 

34-28 

10 

20 

39  22 

38  44 

38  07 

37  30 

36  52 

36  16 

35  40 

35  05 

34  29 

33  54 

33  19 

32  45 

20 

30 

37  20 

36  44 

36  08 

35  33 

34  57 

34  22 

33  47 

33  13 

32  39 

32  05 

31  32 

30  58 

30 

40 

35  15 

34  39 

34  05 

3330 

32  57 

32  23 

31  50 

31  17 

30  45 

30  13 

29  41 

29  10 

40 

50 

33  05 

32  32 

31  59 

31  26 

•   3053 

30  22 

29  50 

29  19 

2849 

28  19 

27  48 

27  19 

50 

lO           OO 

30  52 

30  20 

2949 

29  18 

2847 

28  18 

27  48 

27  18 

26  50 

26  20 

25  53 

25  25 

10           00 

lO 

28  34 

28  05 

27  35 

27  06 

26  38 

26  10 

25  41 

25  14 

24  47 

24  20 

23  54 

23  28 

10 

20 

26  13 

25  46 

25  19 

24  51 

24  25 

23  59 

23  33 

23  08 

22  42 

22  17 

21  53 

21  29 

20 

30 

23  49 

23  24 

22  58 

22  33 

22  09 

21  45 

21  21 

20  58 

20  35 

20  12 

19  50 

19  28 

30 

40 

21  20 

20  57 

20  34 

20  II 

19  49 

19  27 

19  06 

1845 

18  24 

18  04 

17  43 

17  24 

40 

50 

18  49 

18  28 

18  07 

1748 

17  27 

17  08 

16  49 

16  30 

16  12 

15  54 

15  36 

15  18 

60 

11            OO 

16  14 

15  55 

15  37 

15  20 

15  02 

14  46 

14  29 
12  08 

14  13 

13  57 

13  41 

13  26 

13  II 

11            00 

lO 

13  36 

13  20 

•13  06 

12  51 

12  36 

12  21 

II  54 

II  41 

II  27 

II  14 

II  01 

10 

20 

10  56 

10  43 

10  31 

10   19 

10  07 

9  56 

9  44 

9  33 

9  23 

9  12 

9  OI 

851 

20 

30 

8  14 

804 

7  55 

7  45 

7  37 

728 

7  20 

7  II 

7  03 

655 

6  47 

6  39 

30 

40 

5  30 

5  23 

•     5  17 

5  12 

5  05 

5  00 

4  54 

4  49 

4  43 

4  37 

4  32 

4  27 

40 

50 

2  45 

2  42 

2  39 

236 

2  33 

2  30 

2  28 

2  25 

2  22 

2  19 

2  16 

2  13 

60 

12           OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12           00 

L 1 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
•when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimutlis  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


134 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  32°. 

DECLINATION- 

SAME  NAME  AS— LATITUDE. 

1 

latitude:  32°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

46° 

46° 

47° 

Hour  Angle. 

h. 

m. 

0  / 

0  1 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

0  1 

ll.      Ul. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

10 

26  42 

21  41 

18  09 

15  30 

13  28 

II  51 

10  33 

9  28 

835 

748 

707 

633 

10 

20 

44  39 

38  06 

32  55 

28  46 

25  23 

22  36 

20  17 

18  20 

16  40 

15  14 

13  58 

12  52 

20 

30 

55  II 

48  57 

43  35 

3858 

35  01 

31  39 

28  43 

26  II 

23  59 

22  01 

20  18 

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20 

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61  46 

60  42 

5938 

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57  29 

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55  17 

54  12 

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57  49 

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55  42 

54  38 

53  34 

52  29 

51  24 

50  18 

20 

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60  07 

59  06 

58  05 

57  03 

56  02 

54  59 

53  57 

52  54 

51  51 

50  47 

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30 

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59  15 

58  15 

57  15 

5616 

55  15 

54  14 

53  13 

52  12 

51  10 

50  08 

49  06 

40 

50 

59  18 

58  21 

57  23 

56  24 

55  26 

54  27 

53  27 

52  27 

51  28 

50  27 

49  27 

48  26 

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57  25 

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51  46 

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55  29 

54  34 

53  39 

52  45 

51  49 

50  53 

49  58 

49  02 

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54  28 

53  35 

52  40 

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49  58 

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40 

54  17 

53  24 

52  32 

51  40 

50  47 

49  54 
48  53 

49  01 

48  08 

47  14 

46  20 

45  25 

44  31 

40 

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52  20 

51  29 

50  37 

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47  10 

46  17 

45  25 

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51  14 

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49  32 

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50  53 

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43  43 

42  55 

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41  20 

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44  52 

44  05 

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41  46 

40  59 

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41  21 

40  35 

39  50. 

39  34 

38  19 

37  33 

50 

8 

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44  30 

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39  32 

38  48 

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41  40 

40  59 

40  17 

39  35 

38  54 

38  12 

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39  31 

38  51 

38  10 

37  30 

36  50 

36  08 

35  28 

34  48 

34  08 

33  28 

32  47 

30 

40 

3840 

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37  22 

36  43 

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32  04 

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34  35 

33  57 

33  19 

32  41 

31  27 

30  49 

30  12 

50 

9 

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35  30 

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33  40 

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32  27 

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32  09 

31  36 

31  02 

30  28 

29  54 

29  21 

28  47 

28  15 

27  41 

27  08 

26  36 

26  03 

20 

30 

30  25 

29  53 

29  20 

28  49 

28  16 

27  44 

27  13 

26  41 

26  09 

25  38 

25  07 

24  36 

30 

40 

28  28 

28  07 

27  37 

27  06 

26  36 

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25  05 

24  35 

24  06 

23  36 

23  07 

40 

50 

26  49 

26  20 

25  50 

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24  53 

24  24 

23  56 

23  28 

23  00 

22  32 

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21  21 

20  56 

20  31 

20  06 

19  42 

19  18 

18  54 

18  31 

10 

20 

21  05 

20  42 

20  18 

19  55 

19  31 

19  09 

18  46 

18  24 

18  01 

17  39 

17  16 

16  55 

20 

30 

19  05 

18  44 

18  22 

18  02 

17  40 

17  19 

1658 

16  38 

16  18 

1558 

15  38 

15  18 

30 

40 

17  03 

16  45 

16  25 

16  06 

1548 

15  29 

15  10 

14  52 

14  34 

14  15 

13  57 

13  39 

40 

50 

15  00 

14  43 

14  26 

14  09 

13  52 

13  36 

13  21 

13  04 

12  48 

12  32 

12  16 

12  01 

50 

11 

OO 

12  55 

12  40 

12  26 

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II  57 

II  43 

II  28 

II  14 

11  00 

10  47 

10  33 

10  20 

11     00 

lO 

10  48 

10  36 

10  24 

10  12 

10  00 

9  47 

9  36 

9  24 

9  12 

9  01 

849 

837 

10 

20 

8  40 

8  30 

8  21 

8  10. 

8  01 

7  52 

7  42 

7  33 

7  23 

7  14 

7  04 

655 

20 

30 

631 

6  24 

6  17 

6  09 

6  02 

5  47 

5  40 

5  33 

526 

5  19 

5  12 

30 

40 

4  21 

4  16 

4  II 

4  07 

4  01 

3  56 

3  52 

3  47 

3  42 

3  37 

3  33 

3  29 

40 

50 

2  II 

2  08 

2  06 

2  03 

2  01 

I  59 

I  56 

I  54 

I  51 

I  49 

I  46 

I  44 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


-  135 
AZIMUTH  OR  TRUE  BEARING. 


f 

1  liATITUDE  32°. 

DECLINATION- 

-SAME  NAME  AS-LATIXrDE. 

I^AXITL'DE:  32°. 

Hoar  Angle.- 

48° 

49° 

50° 

51° 

52" 

53- 

54^ 

55^ 

56" 

67° 

58^ 

59° 

Kour  Angle. 

Ii. 

in. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  7 

0  / 

0  / 

0  > 

0  / 

b.    ni. 

O 

OO 

0  OO 

0  00 

0  00 

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0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

6  02 

5  35 

5  II 

4  49 

4  29 

4  II 

3  55 

3  39 

3  26 

3  »3 

3  01 

2  50 

10 

20 

II  54 

II  01 

10  14 

9  31 

853 

8  18 

746 

7  17 

648 

6  23 

6  00 

538 

20 

30 

17  24 

16  10 

15  03 

14  03 

13  07 

12  16 

II  30 

10  47 

10  07 

9  29 

855 

8  23 

30 

40 

22  28 

20  57 

19  33 

18  17 

17  oS 

16  04 

15  03 

14  09 

13  18 

12  29 

II  45 

II  03 

40 

SO 

27  01 

25  17 

23  41 

•22  13 

20  52 

19  36 

18  25 

17  20 

16  18 

15  21 

14  27 

13  36 

50 

1 

OO 

31  03 

29  10 

27  25 

2548 

24  17 

22  52 

21  32 

20  '19 

19  09 

18  03 

17  02 

16  03 

1    00 

10 

34  34 

32  36 

30  45 

29  02 

27  24 

25  53 

24  26 

23  05 

21  48 

20  36 

19  27 

18  22 

10 

20 

37  37 

35  36 

53  42 

31  55 

30  12 

2836 

27  04 

25  37 

24  15 

22  56 

21  42 

20  32 

20 

30 

40  15 

38  13 

36  18 

34  28 

32  43 

31  03 

29  27 

27  57 

26  29 

25  07 

2348 

22  33 

30 

40 

42  29 

40  28 

3833 

36  33 

34  56 

33  14 

31  35 

30  03 

28  33 

27  06 

25  44 

24  25 

40 

50 

44  23 

42  24 

40  30 

38  40 

36  53 

35  10 

33  31 

31  56 

30  23 

28  55 

27  30 

26  08 

60 

2 

OO 

46  00 

44  02 

42  II 

40  22 

3836 

36  53 

35  13 

33  36 

32  03 

30  34 

2907 

2742 

•  2     00 

10 

47  21 
4829 

45  28 

4338 

41  50 

40  05 

3823 

3643 

35  07 

33  33 

32  02 

30  33 

29  oS 

10 

20 

46  39 

44  51 

43  05 

41  22 

39  41 

38  02 

36  26 

34  52 

33  21 

31  52 

30  25 

20 

30 

49  25 

4738 

45  54 

44  10 

42  29 

40  48 

39  II 

37  35 

36  02 

34  30 

33  02 

31  44 

30 

40 

50  10 

48  27 

46  45 

45  04 

43  25 

41  47 

40  10 

3836 

37  03 

35  32 

34  03 

32  36 

40 

50 

50  47 

49  07 

47  28 

45  49 

44  12 

42  36 

41  01 

3928 

37  57 

36  26 

34  57 

33  30 

50 

3 

OO 

51  16 

49  39 

48  02 

46  26 

44  51 

43  17 

41  44 

40  13 

3842 

37  12 

35  44 

34  18 

3    00 

10 

51  38 

50  03 

48  29 

4656 

45  23 

43  51 

42  20 

40  50 

39  21 

37  53 

36  25 

35  00 

10 

20 

51  53 

50  21 

48  49 

47  19 

45  48 

44  18 

42  49 

41  21 

39  53 

38  26 

37  00 

35  35 

20 

30 

52  02 

50  33 

49  04 

47  36 

4(3  08 

44  40 

43  12 

41  46 

40  20 

3854 

37  29 

36  05 

30 

40 

52  06 

50  39 

49  14 

47  47 

46  21 

44  55 

43  30 

42  05 

40  41 

39  16 

37  52 

36  29 

40 

50 

52  05 

50  40 

49  17 

47  53 

46  29 

4506 

43  42 

42  18 

40  56 

39  33 

38  11 

36  50 

50 

4 

OO 

51  59 

50  37 

49  16 

47  55 

46  33 

45  II 

43  50 

42  28 

41  06 

39  45 

38  25 

37  04 

4    00 

lO 

51  50 

50  30 

49  12 

47  52 

46  32 

45  12 

43  52 

42  33 

41  13 

39  53 

38  34 

37  15 

10 

20 

51  37 

50  20 

49  03 

47  45 

46  27 

45  10 

43  51 

42  33 

41  15 

39  57 

3839 

37  21 

20 

30 

51  20 

50  06 

48  50 

47  34 

46  19 

45  02 

43  46 

42  29 

41  14 

39  57 

3540 

37  23 

30 

40 

51  01 

49  48 

48  34 

47  20 

46  07 

44  52 

43  37 

42  23 

41  08 

39  53 

3838 

37  23 

40 

50 

5038 

49  27 

48  15 

47  02 

45  50 

44  38 

43  25 

42  12 

40  59 

39  45 

38  32 

37  18 

50 

5 

OO 

50  12 

49  03 

47  53 

4643 

45  32 

44  21 

43  09 

41  58 

40  47 

39  34 

38  22 

37  10 

5     00 

lO 

49  44 

48  36 

47  27 

46  19 

45  10 

44  01 

42  50 

41  41 

40  31 

39  20 

38  10 

3659 

10 

20 

49  13 

48  06 

46  59 

45  52 

44  45 

43  37 

42  29 

41  21 

40  12 

39  03 

37  54 

36  44 

20 

30 

48  39 

47  34 

46  29 

45  24 

44  18 

43  12 

42  05 

4058 

39  51 

38  43 

37  35 

36  27 

30 

40 

48  02 

4659 

45  55 

44  52 

43  48 

42  42 

41  37 

40  32 

39  26 

38  20 

37  13 

36  07 

40 

50 

47  24 

46  22 

45  20 

44  17 

43  15 

42  II 

41  07 

40  04 

38  59 

37  55 

36  50 

35  45 

50 

6 

OO 

46  43 

45  43 

4441 

43  40 

42  41 

41  37 

40  35 

39  33 

38  30 

37  26 

36  23 

35  19 

6     00 

lO 

46  00 

45  01 

44  02 

43  01 

42  02 

41  01 

40  00 

39  00 

3758 

3656 

35  54 

34  51 

10 

20 

45  14 

44  17 

43  19 

42  20 

41  22 

40  22 

39  23 

38  24 

37  23 

36  23 

35  22 

34  22 

20 

30 

44  27 

43  30 

42  34 

41  37 

40  39 

39  41 
3858 

38  44 

37  45 

36  47 

35  48 

3448 

33  48 

30 

40 

43  37 

42  41 

41  46 

40  50 

39  54 

38  01 

37  05 

36  07 

35  10 

34  II 

33  13 

40 

50 

42  45 

41  51 

40  56 

40  02 

3908 

38  13 

37  17 

36  22 

35  26 

34  30 

33  34 

32  37 

50 

7 

OO 

41  50 

4058 

40  05 

39  12 

38  19 

37  26 

36  31 

35  37 

34  43 

33  47 

32  53 

31  58 

7    00 

lO 

40  54 

40  02 

39  12 

38  19 

37  28 

36  35 

35  42 

34  50 

33  57 

33  03 

32  09 

31  16 

10 

20 

39  55 

39  °5 

38  16 

37  25 

36  35 

35  43 

34  52 

34  00 

33  09 

32  17 

31  25 

30  32 

20 

30 

38  55 

38  06 

37  17 

36  28 

35  39 

34  49 

34  00 

33  10 

32  19 

31  29 

3038 

29  47 

30 

40 

37  52 

37  04 

36  17 

35  30 

34  42 

33  53 

33  05 

32  16 

31  28 

30  39 

29  50 

29  00 

40 

50 

3647 

36  01 

35  15 

34  28 

33  42 

32  55 

32  08 

31  22 

30  34 

29  46 

23  58 

28  10 

50 

8 

OO 

3540 

34  55 

34  II 

33  25 

32  40 

31  55 

31  09 

30  24 

2938 

28  52 

28  06 

27  19 

8     00 

lO 

34  30 

33  48 

33  04 

32  20 

31  37 

30  54 

30  09 

29  25 

28  40 

27  56 

27  II 

26  27 

10 

20 

33  20 

32  38 

31  55 

31  13 

30  32 

29  49 

29  07 

28  24 

27  42 

2658 

26  15 

25  32 

20 

30 

32  07 

31  26 

30  46 

30  05 

29  25 

2843 

28  02 

27  21 

26  40 

25  58 

25  17 

24  35 

30 

40 

30  51 

30  12 

29  33 

28  54 

28  15 

27  35 

26  56 

26  17 

25  36 

24  57 

24  17 

23  37 

40 

50 

29  34 

2857 

28  18 

27  41 

27  04 

26  26 

25  48 

25  10 

24  32 

23  54 

23  16 

22  38 

50 

9 

OO 

28  15 

27  39 

27  03 

26  26 

25  50 

25  14 

2438 

24  02 

.  23  25 

22  49 

22  13 

21  36 

9     00 

lO 

26  53 

26  19 

25  45 

25  10 

24  35 

24  01 

23  26 

22  52 

22  17 

21  42 

21  08 

20  33 

10 

20 

25  30 

24  57 

24  24 

23  52 

23  19 

22  47 

22  13 

21  41 

21  08 

20  35 

20  02 

19  29 

20 

30 

24  05 

23  33 

23  03 

22  31 

22  01 

21  30 

20  58 

20  28 

19  57 

19  25 

18  54 

18  23 

30 

40 

22  37 

22  09 

21  40 

21  10 

20  41 

20  12 

19  42 

19  13 

1844 

18  14 

1745 

17  16 

40 

50 

21  09 

20  41 

20  15 

19  47 

19  19 

18  52 

18  24 

17  57 

17  30 

17  03 

16  35 

16  07 

50 

lO 

OO 

19  39 

19  13 

18  47 

18  22 

17  57 

17  31 

17  05 

16  40 

16  14 

15  49 

15  23 

14  58 

10     00 

lO 

18  06 

1743 

17  19 

16  56 

16  32 

16  08 

15  45 

15  21 

14  58 

14  34 

14  II 

13  47 

10 

20 

16  32 

16  12 

15  49 

15  28 

15  06 

14  45 

14  23 

14  02 

13  40 

13  19 

12  57 

12  36 

20 

30 

1458 

14  38 

14  18 

13  59 

13  39 

13  20 

13  or 

12  41 

12  22 

12  02 

II  43 

11  23 

30 

40 

13  22 

13  04 

12  46 

12  29 

12  II 

II  54 

II  36 

II  20 

II  02 

1044 

10  26 

10  09 

40 

50 

II  44 

II  29 

II  13 

10  57 

10  42 

10  27 

10  II 

9  57 

9  41 

9  26 

9  10 

855 

50 

11 

OO 

10  06 

tn 

9  39 
804 

9  25 

9  12 

859 

8  46 

833 

8  19 

8  06 

7  53 

7  39 

11     00 

lO 

827 

7  52 

7  41 

7  30 

7  19 

7  09 

657 

6  46 

635 

^^§ 

10 

20 

6  46 

636 

6  28 

6  19 

6  og 

6  01 

5  53 

5  43 

5  34 

526 

5'f 

508 

20 

30 

5  05 

458 

4  51 

4  44 

4  31 

4  24 

4  17 

^  ^i 

4  05 

358 

3  51 

30 

40 

3  24 

3 19 

3  15 

3  10 

3^ 

3  01 

2  57 

2  52 

2  48 

2  43 

238 

2  34 

40 

50 

I  41 

1 39 

I  37 

I  35 

I  32 

I  30 

I  28 

I  26 

I  24 

I  21 

I  19 

I  17 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  \orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  l^e  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  inquired  true  bearing. 


136 


AZIMUTH    OR   TRUE    BEARING. 


LATITUDE  32°. 

DECUNATION-SAME  NAME  AS- 

I,ATITUDE. 

LATITUDE  32°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69°  i 

70° 

Hour  Angle. 

h.    m. 

0  1 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  r 

b.     ni. 

O     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

2  39 

2  30 

2  20 

2  12 

2  04 

I  56 

I  49 

I  42 

I  36 

I  29 

I  23 

10 

20 

5  18 

4  59 

4  40 

4  23 

4  07 

3  52 

338 

3  23 

3  10 

2  58 

2  46 

20 

30 

7  52 

7  24 

6  58 

632 

6  08 

5  46 

5  24 

5  04 

4  45 

4  26 

4  08 

30 

40 

10  23 

9  47 

9  12 

8  38 

8  08 

7  37 

7  09 

6  43 

6  17 

5  53 

5  29 

40 

60 

12  48 

12  03 

II  22 

10  42 

10  03 

9  27 

8  52 

8  19 

■  7  47 

7  17 

648 

50 

1     00 

15  07 

14  16 

13  26 

12  39 

'11  54 

II  12 

10  31 

9  53 

9  16 

8  40 

8  06 

1     00 

10 

17  20 

16  21 

15  26 

14  33 

13  42 

12  54 

12  07 

II  23 

10  41 

10  01 

9  22 

10 

20 

19  24 

18  20 

17  19 

16  20 

15  24 

14  31 

13  40 

12  51 

12  04 

II  18 

10  34 

20 

30 

21  21 

20  II 

19  06 

18  03 

17  02 

16  04 

15  08 

14  14 

13  23 

12  32 

II  45 

30 

40 

23  09 

21  56 

20  46 

1938 

18  34 

17  31 

16  31 

15  33 

14  38 

13  44 

12  52 

40 

50 

24  48 

23  33 

22  19 

21  08 

20  00 

1854 

17  50 

16  49 

15  50 

14  52 

13  57 

50 

2     00 

26  21 

25  02 

23  46 

22  32 

21  21 

20  12 

19  04 

18  00 

16  57 

15  57 

1458 

2     00 

10 

27  44 

26  23 

25  05 

23  49 

22  35 

21  23 

20  14 

19  06 

18  01 

16  58 

15  56 

10 

20 

29  00 

27  37 

26  17 

24  59 

23  44 

22  31 

.  21  19 

20  08 

19  00 

17  54 

16  50 

20 

30 

30  08 

2845 

27  24 

26  04 

24  48 

23  32 

22  18 

21  06 

19  56 

18  48 

17  42 

30 

40 

31  10 

29  46 

28  23 

27  03 

25  45 

24  29 

23  13 

21  59 

20  47 

19  37 

18  29 

40 

50 

32  04 

30  40 

29  18 

27  57 

26  37 

25  19 

24  02 

22  47 

21  34 

20  23 

19  13 

50 

3     00 

32  53 

31  28 

30  05 

28  44 

27  24 

26  05 

24  48 

23  33 

22  18 

21  05 

19  53 

3     00 

10 

33  35 

32  10 

30  47 

29  27 

28  07 

26  48 

25  29 

24  12 

22  57 

21  43 

20  30 

10 

20 

34  II 

32  47 

31  25 

30  04 

2843 

27  24 

26  06 

24  48 

23  32 

22  17 

21  04 

20 

30 

34  41 

33  18 

31  56 

30  36 

29  16 

27  57 

26  38 

25  20 

24  04 

22  48 

21  34 

30 

40 

35  07 

33  45 

32  ^ 

32  40 

31  03 

29  43 

28  24 

27  06 

25  49 

24  32 

23  16 

22  01 

40 

50 

35  28 

34  06 

31  27 

30  07 

28  48 

27  30 

26  12 

24  55 

23  40 

22  25 

50 

4     00 

35  44 

34  23 

33  04 

31  45 

30  27 

29  08 

27  50 

26  33 

25  17 

24  00 

22  45 

4     00 

iR 

35  55 

34  37 

33 18 

32  00 

30  42 

29  24 

28  06 

26  50 

25  34 

24  18 

23  03 

10 

20 

36  03 

34  46 

33  28 

32  II 

30  53 

29  36 

28  20 

27  04 

2548 

24  32 

23  18 

20 

30 

36  07 

34  50 

33  34 

32  18 

31  02 

29  46 

28  30 

27  14 

25  58 

24  43 

23  29 

30 

40 

36  07 

34  52 

33  37 

32  21 

31  06 

29  51 

28  35 

27  21 

26  07 

24  52 

23  38 

40 

50 

36  04 

34  50 

33  36 

32  22 

31  07 

29  54 

28  39 

27  25 

26  II 

24  57 

23  44 

50 

5     00 

35  57 

34  45 

33  32 

32  19 

31  05 

29  52 

28  39 

27  27 

26  13 

24  59 

23  47 

5     00 

10 

35  48 

34  36 

33  25 

32  13 

31  01 

29  49 

2837 

27  24 

26  12 

24  59 

23  47 

10 

20 

35  35 

34  24 

33 14 

32  04 

30  52 

29  42 

28  31 

27  20 

26  08 

24  57 

23  46 

20 

30 

35  19 

.34  09 

33  01 

31  51 

30  42 

29  32 

■28  23 

27  12 

26  02 

24  52 

23  41 

30 

40 

35  00 

33  52 

32  45 

31  37 

30  29 

29  20 

28  II 

27  03 

25  53 

24  44 

23  35 

40 

60 

34  38 

33  32 

32  26 

31  20 

30  13 

29  06 

2758 

26  50 

25  42 

24  33 

23  25 

50 

6     00 

34  15 

33  10 

32  05 

31  00 

29  54 

28  48 

27  42 

26  35 

25  28 

24  21 

23  14 

6     00 

10 

33  48 

32  45 

31 41 

30  38 

29  33 

28  29 

27  24 

26  19 

25  15 

24  II 

23  07 

10 

20 

33  19 

32  17 

31 15 

30  13 

29  10 

28  06 

27  03 

25  59 

24  54 

23  50 

22  45 

20 

30 

32  48 

31  47 

30  47 

29  46 

28  44 

27  42 

26  40 

25  38 

24  34 

23  31 

22  28 

30 

40 

32  15 

31  16 

30 16 

29  16 
28  45 

28  16 

27  16 

26  15 

25  14 

24  12 

23  10 

22  08 

40 

50 

31  39 

30  42 

29  44 

27  46 

26  47 

25  48 

24  48 

2348 

22  48 

21  46 

50 

7     00 

31  01 

30  05 

29  09 

28  12 

27  15 

26  17 

25  19 

24  20 

23  22 

22  23 

21  23 

7     00 

10 

30  22 

29  26 

28  32 

27  37 

26  41 

25  44 

24  47 

23  51 

22  53 

21  56 

20  58 

10 

20 

29  39 

2846 

27  53 

26  59 

26  05 

25  10 

24  15 

23  19 

22  24 

21  28 

20  32 

20 

30 

28  55 

28  03 

27 12 

26  20 

25  27 

24  33 

23  40 

22  47 

21  53 

20  58 

20  03 

30 

40 

28  09 

27  19 

26  29 

25  38 

24  47 

23  56 

23  04 

22  12 

21  18 

20  26 

19  33 

40 

50 

27  22 

26  33 

25  45 

24  55 

24  06 

23  15 

22  25 

21  35 

20  44 

19  52 

19  01 

50 

8     00 

26  32 

25  46 

24  58 

24  10 

23  22 

22  34 

21  45 

20  56 

20  07 

19  18 

18  27 

8     00 

10 

25  41 

24  56 

24 10 

23  24 

22  38 

21  51 

21  04 

20  17 

19  30 

18  42 

17  53 

10 

20 

24  47 

24  04 

23  20 

22  36 

21  51 

21  06 

20  21 

19  36 

18  49 

18  03 

17  17 

20 

30 

23  53 

23  11 

22  29 

21 36 

21  46 

21  03 

20  20 

19  36 

18  52 

18  09 

17  24 

16  39 

30 

40 

22  57 

22  t6 

20  55 

20  14 

19  32 

18  51 

18  08 

17  26 

16  43 

16  00 

40 

50 

21  58 

21  19 

20  41 

20  02 

19  23 

18  42 

18  03 

17  23 

16  42 

i5  01 

15  21 

50 

9     00 

20  59 

20  22 

19  45 

19  08 

18  30 

17  52 

17  14 

1636 

15  57 

15  18 

14  39 

9     00 

10 

19  57 

19  23 

18  47 

18  12 

17  36 

17  CX) 

16  24 

15  48 

15  II 

14  34 

13  57 

10 

20 

1856 

18  21 

17  48 

i7  15 

16  41 

16  orj 

15  33 

14  58 

14  23 

13  48 

13  13 

20 

30 

17  51 

17  20 

16  49 

16  17 

15  44 

15  12 

14  40 

14  08 

13  35 

13  02 

12  29 

30 

40 

16  46 

16  16 

15  47 

15  18 

14  47 

14  17 

13  47 

13  17 

12  45 

12  15 

II  43 

40 

50 

15  40 

15  12 

14  44 

14  16 

1348 

13  21 

12  52 

12  24 

II  55 

II  27 

10  58 

50 

10     00 

14  32 

14  07 

13  41 

13  15 

12  49 

12  23 

II  56 

II  31 

II  04 

10  37 

10  II 

10   00 

10 

13  24 

13  00 

12  36 

12  12 

II  49 

II  24 

II  00 

10  36 

10  II 

9  46 

9  22 

10 

20 

12  14 

II  52 

II 30 

11  09 

10  47 

10  25 

10  02 

9  40 

9  18 

8  56 

8  33 

20 

30 

II  03 

10  44 

10  24 

10  04 

9  45 

9  25 

9  05 

8  45 

8  24 

8  04 

7  44 

30 

40 

9  52 

9  34 

9 16 

9  00 

8  42 

8  24 

8  06 

7  48 

7  30 

7  12 

6  54 

40 

50 

8  40 

8  24 

8  08 

7  53 

738 

7  23 

7  07 

651 

635 

6  20 

6  03 

50 

11     00 

7  27 

7  14 

7  00 

6  47 

6  34 

6  20 

6  07 

5  54 

5  40 

526 

5  12 

11     00 

10 

6  13 

6  02 

5  51 

5  40 

5  29 

5  18 

5  07 

4  55 

4  44 

4  32 

4  20 

10 

20 

4  59 

4  51 

4  42 

4  32 

4  23 

4  14 

4  06 

3  57 

3  47 

3  38 

3  30 

20 

30 

3  45 

338 

3  32 

.3  25 

3  18 

3  II 

3  05 

258 

2  51 

2  44 

238 

30 

40 

2  29 

2  25 

2  21 

2  17 

2  12 

2  08 

2  03 

I  59 

I  54 

I  49 

I  43 

40 

50 

I  15 

I  13 

I  II 

I  c8 

I  06 

I  04 

I  02 

0  59 

0  57 

0  55 

0  52 

50 

12     00 

0  00 

0  00 

0  00 

0  CX) 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Sorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  anu 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  th^ 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


•  137 
AZIMUTH    OR    TRUE    BEARING. 


I^ATITI'DE:  33°. 

DECLINATION- 

-SAME  NAME 

AS— LATITUDE. 

LATITUDE  33°. 

Honr  Angle. 

a4° 

a5° 

a6° 

37° 

28° 

a»° 

30° 

31° 

38° 

33° 

34° 

35°  . 

Hour  Angle. 

ta. 

111. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

,  0  / 

0  / 

h.    m. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0  00 

0     00 

lO 

165  40 

164  06 

162  06 

159  31 

156  03 

151  09 

143  56 

132  40 

114  42 

^  ^§ 

63  42 

45  20 

10 

ao 

152  44 

150  05 

146  52 

142  54 

137  58 

131  43 

123  49 

113  55 

loi  59 

8838 

75  08 

62  51 

20 

30 

141  55 

138  46 

135  06 

130  48 

125  47 

119  55 

113  08 

105  26 

96  57 

f7  57 

78  52 

70  06 

30 

40 

133  II 

129  55 

126  15 

122  07 

117  30 

112  22 

106.43 

100  35 

94  04 

87  16 

80  25 

73  40 

40 

50 

126  11 

123  01 

119  32 

115  45 

III  38 

107  09 

102  22 

97  20 

92  02 

8635 

81  04 

75  37 

50 

1 

OO 

120  32 

117  33 

114  20 

no  54 

107  12 

103  18 

99  12 

94  54 

90  27 

8554 

81  18 

76  42 

1     00 

lO 

115  54 

113  07 

no  09 

107  02 

103  44 

100  17 

96  41 

92  57 

89  07 

85  12 

81  16 

77  i8 

10 

ao 

112  02 

109  27 

106  44. 

103  52 

100  54 

97  48 

94  37 

91  19 

8757 

84  31 

81  02 

77  33 

ao 

30 

108  44 

106  20 

103  49 

101  13 

98  31 

95  43 

92  50 

89  53 

8653 

83  49 

80  43 

77  37 

30 

40 

105  53 

103  38 

101  18 

98  55 

96  26 

93  53 

gi  16 

8836 

8552 

8307 

80  19 

77  31 

40 

50 

103  22 

101  16 

99  07 

96  53 

94  36 

92  16 

8952 

87  26 

84  56 

82  25 

79  52 

77  17 

50 

2 

OO 

101  06 

99  09 

97  08 

95  04 

92  57 

9046 

8834 

86  19 

84  01 

81  42 

79  21 

7658 

2    00 

lO 

99  05 

97  14 

95  21 

93  25 

91  26 

89  24 

87  21 

85  16 

83  08 

8059 

7849 

7636 

10 

ao 

97  14 

95  29 

93  43 

91  53 

90  01 

88  07 

86  13 

84  15 

82  16 

80  15 

78  14 

76  II 

ao 

30 

95  30 

93  51 

92  10 

90  27 

88  42 

8655 

8506 

83  16 

81  25 

79  32 

77  37 

75  42 

30 

40 

93  54 

92  20 

90  43 

89  06 

87  26 

85  46 

84  03 

82  19 

80  34 

78  47 

77  01 

75  10 

40 

50 

92  23 

90  53 

89  22 

87  49 

86  14 

84  39 

S3  02 

81  23 

79  43 

78  03 

76  21 

7438 

50 

3 

OO 

90  57 

8931 

88  04 

8635 

8505 

83  34 

82  01 

80  28 

7853 

77  17 

75  40 

74  02 

3     00 

10 

89  34 

88  12 

86  48 

85  23 

8358 

82  30 

81  02 

79  33 

7803 

■76  31 

74  59 

73  26 

10 

ao 

88  15 

8656 

8536 

84  14 

82  52 

81  28 

80  04 

78  39 

77  12 

75  45 

74  17 

7248 

ao 

.30 

8659 

85  42 

84  26 

8307 

81  48 

80  27 

79  07 

77  44 

76  22 

74  58 

73  33 

72  08 

30 

40 

85  44 

8431 

S3  16 

S2  00 

8044 

79  27 

78  09 

76  50 

75  30 

74  10 

72  49 

71  27 

40 

so 

8431 

83  20 

82 '08 

8055 

79  41 

7828 

77  12 

7556 

74  40 

73  22 

72  03 

70  44 

50 

4 

OO 

83  20 

82  12 

81  02 

79  52 

78  40 

77  28 

76  16 

75  02 

73  48 

72  33 

71  18 

70  01 

4     00 

lO 

82  10 

81  03 

79  56 

78  47 

77  38 

76  28 

75  18 

74  07 

72  55 

71  43 

70  30 

69  16 

10 

ao 

81  02 

7956 

78  50 

77  43 

76  37 

75  28 

74  21 

73  'I 

72  02 

70  52 

69  42 

68  29 

20 

30 

79  53 

7848 

77  45 

76  40 

75  35 

74  29 

73  23 

72  16 

71  08 

70  00 

^  51 

67  42 

30 

40 

7844 

77  42 

76  40 

75  37 

74  33 

73  30 

72  25 

71  19 

70  14 

69  08 

68  01 

6654 

40 

50 

77  37 

7636 

75  35 

74  33 

73  31 

72  29 

71  26 

70  22 

69  19 

68  14 

67  09 

66  03 

50 

5 

OO 

76  28 

75  29 

74  29 

73  29 

72  28 

71  27 

70  26 

69  24 

68  22 

67  19 

66  16 

65  12 

5     00 

lO 

75  20 

74  22 

73  24 

72  24 

71  26 

70  26 

69  26 

68  25 

6724 

66  23 

65  21 

64  19 

10 

ao 

74  11 

73  15 

72  18 

71  20 

70^2 

69  24 

68  25 

67  25 

66  26 

6526 

64  26 

63  25 

20 

30 

73  03 

72  07 

71  10 

70  15 

69  17 

68  20 

67  23 

66  25 

65  27 

64  28 

63  29 

62  29 

30 

40 

71  53 

70  57 

70  03 

69  07 

68  12 

67  16 

66  20 

65  23 

64  26 

6329 

62  31 

61  32 

40 

50 

70  43 

69  49 

6854 

68  01 

67  06 

66  II 

65  15 

64  20 

63  24 

62  28 

bi  31 

60  34 

50 

6 

OO 

69  31 

6839 

67  46 

66  52 

65  57 

65  04 

64  10 

63  15 

62  21 

61  26 

60  30 

59  35 

6     00 

lO 

68  19 

6727 

6634 

65  42 

64  49 

6356 

63  03 

62  10 

61  16 

60  22 

59  28 

58  33 

10 

ao 

67  06 

66  15 

65  23 

64  31 

6339 

62  47 

61  55 

61  02 

60  10 

59  17 

58  23 

57  30 

20 

30 

65  52 

65  00 

64  10 

63  19 

62  28 

61  37 

60  45 

59  53 

59  01 

58  10 

57  17 

56  25 

30 

40 

64  35 

63  45 

62  55 

62  04 

61  14 

60  24 

59  34 

58  42 

57  52 

57  01 

56  09  _ 

55  18 

40 

50 

63  17 

62  28 

61  38 

60  49 

60  00 

59  10 

58  21 

57  30 

56  41 

55  50 

55  00 

54  10 

50 

7 

OO 

61  58 

61  09 

60  21 

59  32 

5842 

57  54 

57  06 

56  16 

55  27 

5438 

5348 

52  59 

7     00 

lO 

60  37 

5948 

59  01 

58  12 

57  25 

56  37 

55  48 

55  00 

54  12 

53  24 

52  36 

51  46 

10 

ao 

59  14 

58  26 

57  39 

56  51 

56  04 

55  19 

54  30 

53  42 

52  55 

52  07 

51  20 

50  32 

20 

30 

57  48 

57  01 

56  15 

55  28 

54  41 

53  55 

53  09 

52  22 

51  36 

50  49 

50  03 

49  16 

30 

40 

56  20 

55  34 

54  49 

54  02 

53  17 

52  31 

51  45 

50  59 

50  14 

49  28 

48  43 

47  57 

40 

50 

54  50 

54  04 

53  20 

52  34 

51  49 

51  05 

50  20 

49  35 

48  51 

48  06 

47  21 

46  36 

50 

8 

OO 

53  17 

52  32 

51  48 

51  04 

50  19 

49  36 

48  52 

48  08 

47  24 

46  40 

45  56 

45  12 

8     00 

lO 

51  42 

50  58 

50  15 

49  31 

48  47 

48  05 

47  21 

4638 

45  56 

45  13 

44  30 

43  47 

10 

ao 

50  04 

49  21 

48  38 

47  55 

47  13 

46  30 

45  48 

45  06 

44  25 

43  42 

43  01 

42  19 

ao 

30 

48  02 

47  40 

46  59 

46  16 

45  35 

44  53 

44  12 

43  31 

42  51 

42  10 

41  29 

40  48 

30 

40 

46  38 

45  57 

45  15 

44  35 

43  54 

43  14 

42  34 

41  54 

41  14 

40  34 

39  55 

39  15 

40 

50 

44  51 

44  10 

43  30 

42  50 

42  II 

41  32 

40  52 

40  13 

39  35 

3856 

38  18 

37  40 

50 

» 

OO 

42  59 

42  20 

41  41 

41  02 

40  23 

39  45 

3908 

38  29 

37  53 

37  15 

3638 

36  01 

9     00 

lO 

41  05 

40  27 

39  49 

39  II 

38  34 

37  56 

37  20 

36  44 

3608 

35  32 

34  56 

34  20 

10 

ao 

39  07 

3830 

37  53 

37  17 

36  40 

36  05 

35  29 

35  55 

34  20 

33  45 

33  II 

32  37 

ao 

- 

30 

37  05 

36  29 

35  54 

35  19 

34  44 

34  09 

33  36 

33  02 

32  29 

31  56 

31  24 

30  50 

30 

40 

34  59 

34  24 

33  51 

33  17 

32  44 

32  II 

31  39 

31  07 

30  35 

30  04 

29  33 

29  01 

40 

50 

32  49 

32  17 

31  45 

31  13 

30  42 

30  II 

29  40 

29  09 

28  39 

28  09 

27  40 

27  10 

50 

lO 

OO 

30  37 

30  05 

29  36 

29  05 

2836 

28  06 

27  37 

27  08 

26  40 

26  12 

25  44 

25  17 

10    00 

lO 

28  20 

27  50 

27  22 

26  54 

26  26 

25  58 

25  31 

25  04 

2438 

24  12 

23  45 

23  20 

10 

ao 

25  59 

25  32 

25  05 

24  39 

24  14 

23  48 

23  22 

■22  58 

22  33 

22,  09 

21  45 

21  21 

ao 

30 

23  35 

23  10 

22  46 

22  23 

21  58 

21  34 

21  II 

20  48 

20  26 

20  04 

19  42 

19  21 

30 

40 

21  07 

20  44 

20  23 

20  or 

19  39 

19  18 

1858 

1836 

18  16 

17  56 

17  37 

17  17 

40 

50 

18  37 

18  16 

17  57 

17  37 

17  18 

17  00 

16  41 

16  23 

16  05 

15  47 

15  29 

15  12 

50 

H 

OO 

16  03 

15  45 

15  28 

15  II 

14  55 

14  39 

14  22 

14  06 

13  51 

13  35 

13  20 

13  05 

11       00 

lO 

13  27 

13  12 

12  57 

12  43 

12  29 

12  15 

12  01 

II  48 

II  35 

II  22 

II  09 

10  57 

10 

ao 

10  49 

ID  36 

10  25 

10  13 

10  01 

9  50 

9  39 

9  28 

9  18 

9  08 
6  52 

858 

8  47 

20 

30 

8  08 

7  59 

7  50 

7  4^ 

7  32 

7  24 

7  16 

708 

6  59 

0  44 

636 

30 

40 

5  27 

5  20 

5  14 

508 

■  5  03 

4  57 

4  52 

4  46 

4  40 

4  35 

4  29 

4  25 

40 

50 

2  44 

2  40 

2  37 

2  35 

2  32 

2  29 

2  25 

2  23 

2  21 

2  18 

2  15 

2  12 

50 

la 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  8outh  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


138 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  33°. 


DECLINATION— SAME  NAME  AS— LATITUDE. 


LATITUDE  33°. 


Hour  Angle. 


li. 

O 


lO 


ai 


la 


m. 
OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 
OO 


36° 


O   OO 

33  48 

52  33 

62  01 

67  13 

70  17 

72  20 

73  21 

74  05 
74  30 
74  41 
74  43 

74  36 
74  24 
74  07 
73  46 
73  22 
72  55 

72  25 

71  52 
71  18 
70  42 
70  05 
69  25 

68  44 
68  02 
67  18 
6633 
65  46 
64  58 

64  08 

63  17 
62  25 
61  31 
60  35 
5938 

58  39 
57  39 
56  37 
55  32 
54  26 

53  19 

52  10 
5058 
49  45 
48  29 
47  II 
45  52 

44  29 
43  05 
41  38 
40  08 

3837 
37  02 

35  25 
33  46 
32  03 
30  19 
28  32 
26  42 

24  50 
22  55 
20  58 
1859 
1658 
14  55 

12  51 
10  45 
837 
6  29 

4  19 


37° 


o  00 
26  24 

44  16 

54  50 

61  09 

65  09 

67  45 

69  29 

70  38 

71  24 

71  52 

72  07 

72  13 
72  II 
72  03 
71  49 
71  32 
71  10 

70  46 
70  18 
69  48 
69  16 

68  41 
68  05 

67  27 

66  47 
66  05 
65  22 
64  37 
63  51 

63  03 

62  14 
61  23 
60  30 

59  35 
58  40 

57  43 
56  43 

55  42 
54  40 

■  53  35 
52  29 

51  20 
50  10 
48  56 
47  42 
46  26 

45  07 

43  45 
42  22 

40  56 
39  28 
37  58 
36  24 

34  48 
33  10 
31  30 
29  46 
28  01 
26  12 

24  23 
22  29 
20  34 

18  38 
16  39 
14  38 

1^36 
10  32 
8  27 
6  21 

4  15 
2  08 
o  CO 


38° 


o  00 

21  26 
37  44 

48  33 

55  36 

60  17 

63  28 

65  41 

67  15 

68  20 

69  04 
69  33 

69  51 
6958 
6958 
69  52 
69  41 
69  25 

69  06 
68  42 
68  17 
6748 
67  17 

66  44 

66  09 
65  31 

64  53 
64  II 
63  28 
62  44 

61  58 
61  10 
60  21 
59  29 
5836 
57  42 

56  40 
5548 
54  48 
53  47 
52  43 
51  37 

50  30 

49  20 
48  09 
46  56 
45  40 
44  22 

43  02 
41  40 
40  15 

3848 
37  18 
35  47 

34  12 
32  36 
30  56 
29  15 
27  30 
25  44 

23  56 

22  05 
20  12 
18  17 
16  19 
14  22 

12  22 
10  20 
8.18 
6  14 
4  10 
2  05 
o  00 


39° 


o  00 
17  55 

32  35 

43  10 

50  35 

55  45 

59  24 

62  01 

63  56 

65  18 

66  17 

67  00 

67  28 
67  45 
67  53 
67  55 
67  49 
67  39 

67  25 
67  07 
66  45 
66  21 
65  53 
65  23 

64  50 
64  16 

63  39 
63  00 
62  19 
61  37 

60  53 
60  07 
59  19 
58  29 
57  37 

56  44 

55  49 
54  52 
53  53 
52  53 

51  51 
5047 

49  41 
48  32 
47  21 
46  09 

44  54 
43  38 

42  18 
40  57 
39  34 
38  08 
36  39 
35  09 

33  36 
32  01 
30  23 
28  43 
27  01 
25  16 

23  29 
21  40 
19  50 
17  56 
16  02 
14,05 

12  07 
10  08 
8  08 
6  06 
4  05 
2  02 
o  00 


40° 


O  00 

15  17 
28  25 

38  34 
46  04 
51  32 

55  32 
5830 
60  43 

62  20 

63  33 

64  27 


41° 


o  00 
13  17 
25  02 
34  37 

42  '02 

47  38 

5'  53 
55  07 

57  35 

59  27 

60  53 

61  57 


42° 


65  07 

62  46 

65  33 

63  21 

65  49 

63  45 

65  57 

63  59 

65  59 

64  07 

65  54 

64  08 

65  45 

64  03 

65  30 

63  54 

65  13 

63  40 

64  52 

63  23 

64  28 

63  02 

64  01 

6238 

63  31 

62  12 

62  59 

61  42 

62  25 

61  10 

61  48 

60  35 

61  10 

59  59 

60  29 

59  20 

59  46 

58  39 

59  02 

57  57 

58  16 

57  12 

57  27 

56  26 

56  38 

55  37 

55  46 

54  46 

54  51 

53  54 

53  57 

53  00 

52  59 

52  03 

51  59 

51  05 

50  58 

50  05 

49  55 

49  03 

48  50 

47  59 

47  43 

46  53 

46  33 

45  45 

45  22 

44  35 

44  09 

43  22 

42  53 

42  08 

41  34 

40  51 

40  15 

39  32 

38  52 

38  II 

37  27 

3648. 

36  01 

35  22 

34  31 

33  54 

33  00 

32  24 

31  27 

30  52 

29  50 

29  17 

28  II 

27  40 

26  31 

26  01 

24  48 

24  19 

23  03 

22  37 

21  15. 

20  51 

19  26 

19  04 

17  36 

17  15 

15  43 

.  15  24 

13  49 

13  33 

II  53 

11  38 

9  56 

9  44 

758 

7  49 

6  00 

5  52 

4  00 

3  55 

2  00 

I  57 

0  00 

0  00 

II  41 

22  18 
31  15 
38  27 

44  05 

48  30 

51  55 

54  34 

56  39 

58  16 

59  30 

60  28 

61  II 

61  41 

62  03 
62  16 
62  23 

62  23 
62  18 
62  08 
61  55 
61  37 
61  16 

60  52 
60  25 

59  54 
59  23 
58  49 
58  12 

57  33 
56  53 
56  09 

55  24 
54  36 
53  48 

52  57 
52  04 
51  09 
50  12 

49  13 
48  12 

47  10 
46  04 

44  57 
43  48 
42  37 
41  24 

40  08 
3851 
37  30 
36  08 
34  44 
33  17 

31  48 
30  18 
28  44 
27  10 
25  32 

23  52 

22  II 
20  27 
1843 
16  55 
15  07 
13  l6 

II  25 
9  33 
7  39 
5  46 
3  50 
I  55 
o  00 


43° 


0  00 

10  24 

19  59 

28  20 

35  15 

40  51 

45  19 
4852 

51  41 

53  54 

55  41 

57  04 

58  10 

59  00 
5938 

60  06 
60  25 
60  36 

60  42 
60  40 
60  34 
60  25 
60  10 
59  52 

59  31 
59  06 

58  40 
58  10 
57  37 
57  02 

56  26 
55  46 
55  04 

54  22 
53  35 

52  48 

51  58 
51  06 
50  13 
49  18 
48  20 
47  20 

46  18 
45  14 
44  08 
43  00 

41  50 
40  38 

39  24 
38  08 

36  49 
35  29 
34  05 
32  40 

31  12 

29  43 

28  12 
2638 
25  02 
23  24 

21  45 

20  03 
18  20 
16  34 
14  48 
13  00 

11  II 
9  21 
7  30 
538 
3  46 

1  53 
o  00 


44° 


0  00 

9  19 

18  03 
2548 

32  24 

37  53 

42  22 

45  59 
4855 

51  18 

53  II 

54  42 

55  55 

56  52 

57  37 

58  II 

58  35 
5851 

59  01 
59  04 
59  02 
58  55 
58  44 
58  29 

58  10 
5748 
57  24 
5656 
56  26 
55  53 

55  18 
54  40 
54  01 
53  19 

52  34 
51  48 

51  00 
50  10 
49  17 
48  23 
47  26 

46  28 

45  27 
44  24 

43  20 
42  13 
41  04 
39  54 

38  39 
37  25 
36  08 
34  49 

33  27 
32  03 

30  37 
29  09 

27  39 
26  07 

24  32 
22  56 

21  19 

19  39 
17  58 
16  15 
14  31 
12  45 

10  58 
9  10 
7  21 
5  31 
3  42 

1  51 
o  00 


45° 


46° 


8  26 
16  18 
23  36 
29  53 
35  II 

39  37 

43  17 

46  18 

48  45 

50  46 

52  24 

53  43 

54  47 

55  37 

56  15 

56  45 

57  05 

57  20 
57  26 
57  28 
57  25 
57  17 
57  05 

56  49 
56  29 
56  08 
55  42 
55  14 
54  43 

54  10 
53  33 
52  56 
52  15 

51  32 
50  48 

50  00 

49  12 
48  20 

47  27 
46  33 
45  35 

44  35 
43  34 
42  30 
41  25 

40  17 
39  08 

37  56 
3642 
35  26 
34  09 
32  48 
31  26 


10  44 
858 
7  12 
5  25 
3  37 
I  48 
o  00 


o  00. 

7  40 
14  58 
21  40 
27  37 

32  43 

37  05 

40  44 

43  48 

46  20 

48  25 

50  09 

51  34 

52  43 

53  38 

54  22 

54  56 

55  21 

55  39 
55  50 
55  55 
55  o5 
55  50 
55  41 

55  27 
55  II 
54  51 
54  27 
54  01 
53  32 

53  01 
52  26 
51  50 
51  II 
50  30 

49  47 

49  01 

48  14 

47  24 
46  32 
45  38 

44  42 

43  45 
42  44 

41  42 
40  38 
39  32 

38  23 

37  13 
36  00 

34  45 

33  29 
32  09 
30  48 


47° 


30  01 

29  25 

28  34 

28  00 

27  06 

26  34 

25  36 

25  05 

24  03 

23  34 

22  29 

22  02 

20  53 

20  28 

19  15 

18  52 

17  36 

17  14. 

15  55 

15  36 

14  12 

13  55 

12  29 

12  13 

10  31 

8  47 
7  03 
5  18 
3  32 
I  46 
o  00 


o  00 
7  00 
13  44 
1958 

25  34 

30  30 

34  45 

38  21 

41  26 

44  01 

46  10 

47  58 

49  27 

50  42 

51  42 

52  30 

53  oS 
53  37 

53  58 

54  14 
54  22 
54  24 
54  23 
54  16 

54  06 
53  52 
53  34 
53  13 
52  49 
52  21 

51  52 
51  19 
50  45 
50  07 
49  22 

48  46 

48  02 
47  16 
46  27 

45  36 
44  33 
43  49 

42  52 
41  54 
40  53 

39  50 
38  45 
37  37 

36  28 

35  17 
34  05 
32  50 

31  30 
30  12 

28  50 
27  27 

26  01 
24  35 
23  06 
21  35 

20  03 

18  28 
16  53 
15  16 
13  38 
II  58 

10  17 
836 
6  54 
5  II 
3  27 
I  44 
o  00 


Hour  Angle. 


li. 

O 


10 


11 


12 


ni. 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  >'orth  latitude,  when  the  star  is  rising^  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


139 


AZIMUTH   OR  TRUE   BEARING. 


L-ATITLOE  33°. 

DECLINATION- 

SAME  NAME  AS— I,ATITUDE. 

I.ATITUDE  33°. 

Hour  Angle. 

48° 

4»o 

50° 

51° 

52° 

53° 

64° 

55° 

56° 

57° 

58° 

5»° 

Hour  Angle. 

b. 

m. 

O      1 

• 
0    ' 

0    / 

0    ' 

0    t 

0    r 

0    / 

0    / 

0    / 

0    / 

0    / 

0    / 

b.          ni. 

0 

OO 

O  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0          00 

lO 

6  26 

5  55 

5  29 

5  04 

4  43 

4  23 

4  05 

3  49 

3  34 

3  21 

3  08 

256 

10 

20 

12  34 

11  39 

10  48 

10  01 

9  19 

841 

8  07 

7  35 

706 

6  39 

6  14 

5  50 

20 

30 

i8  27 

•7  05 

15  51 

14  45 

13  45 

12  50 

II  59 

J I  14 

10  31 

9  51 

9  15 

841 

30 

40 

^l  *§ 

22  04 

20  34 

19  10 

17  55 

16  46 

15  42 

14  42 

13  48 

12  57 

12   ID 

II  25 

40 

60 

28  26 

26  33 

24  50 

23  14 

21  47 

20  24 

19  10 

18  00 

16  55 

1554 

14  58 

14  04 

50 

1 

OO 

3?  33 

30  32 

28  40 

26  55 

25  18 

23  47 

22  24 

21  05 

19  50 

18  40 

17  35 

16  34 

1          00 

lO 

3608 

34  02 

32  04 

30  14 

28  30 

26  52 

25  21 

23  55 

22  33 

21  17 

20  05 

18  56 

10 

20 

39  07 

37  03 

3503 

3308 

31  20 

2938 

28  02 

26  30 

25  03 

23  41 

22  24 

21  09 

20 

30 

41  47 

39  40 

3738 

3542 

33  51 

3206. 

30  27 

28  51 

27  20 

25  54 

24*32 

23  :3 

30 

.  40 

43  59 

41  54 

39  53 

37  56 

36  05 

34  18 

32  37 

30  59 

29  24 

27  55 

26  29 

25  06 

40 

50 

45  31 

43  48 

41  48 

39  53 

38  02 

36  14 

34  32 

32  52 

31  16 

29  44 

28  16 

26  51 

50 

2 

OO 

4724 

45  24 

43  27 

41  34 

39  43 

3756 

36  14 

34  34 

32  56 

!    31  23 

29  52 

i    28  25 

2           00 

lO 

48  42 

46  45 

44  51 

43  00 

41  II 

39  25 

37  43 

36  03 

34  25 

1     32  51 

31  20 

29  50 

10 

20 

49  46 

47  53 

46  01 

44  13 

42  26 

40  42 

39  00 

37  21 

35  43 

1    34  10 

3238 

31  08 

20 

30 

50  38 

48  49 

47  01 

45  15 

43  31 

41  48 

40  08 

3829 

36  53 

35  19 

33  47 

32  17 

30 

40 

51  20 

49  35 

47  50 

4607 

44  24 

42  44 

41  05 

39  28 

37  52 

36  19 

34  49 

33  18 

40 

50 

51  54 

50  II 

48  30 

4649 

45  09 

43  31 

41  54 

40  19 

38  44 

1     37  12 

35  42 

,    34  12 

50 

3 

OO 

52  18 

50  39 

49  01 

47  24 

45  47 

44  10 

42  36 

41  02 

39  29 

3758 

36  28 

34  59 

3           00 

lO 

52  36 

51  01 

49  25 

47  50 

46  15 

44  42 

43  10 

41  37 

40  06 

3836 

37  08 

35  39 

10 

20 

52  48 

51  15 

49  43 

48  10 

4638 

45  07 

43  36 

42  06 

40  36 

39  08 

37  41 

36  13 

20 

30 

52  54 

51  25 

49  55 

48  24 

46  55 

45  26 

4358 

42  29 

41  01 

39  35 

38  08 

36  42 

30 

40 

52  55 

51  28 

50  00 

4833 

47  06 

45  40 

44  14 

42  46 

41  20 

:    39  56 

3831 

37  05 

40 

50 

52  52 

51  27 

50  02 

4838 

47  12 

4548 

44  23 

42  59 

41  34 

f    40  II 

3847 

37  24 

50 

4 

OO 

52  43 

51  21 

49  59 

4836 

47  13 

45  51 

44  29 

43  07 

41  44 

40  22 

39  00 

37  38 

4           00 

lO 

5231 

51  12 

49  51 

48  31 

47  11 

45  50 

44  30 

43  09 

41  48 

40  28 

3908 

37  47 

10 

20 

52  16 

5058 

49  40 

48  22 

47  03 

45  45 

44  27 

43  o3 

41  48 

40  29 

39  12 

37  51 

20 

30 

51  57 

50  42 

49  26 

48  10 

46  53 

45  36 

44  20 

43  02 

41  45 

40  28 

39  II 

37  53 

30 

40 

51  35 

50  22 

4908 
4846 

47  53 

46  39 

45  24 

44  09 

42  53 

41  38 

40  22 

39  07 

37  51 

40 

50 

51   IC 

49  59 

47  34 

46  21 

45  o3 

43  55 

42  42 

41  28 

40  14 

39  00 

37  44 

50 

5 

OO 

50  42 

49  32 

48  22 

47  12 

46  00 

44  49 

43  37 

42  26 

41  13 

40  01 

5849 

37  35 

5           00 

lO 

50  12 

49  04 

47  55 

4646 

45  37 

44  27 

43  17 

42  07 

4056 

39  46 

38  35 

37  23 

10 

20 

49  39 

48  32 

47  25 

46  18 

45  II 

44  03 

42  54 

41  46 

40  36 

39  27 

38  18 

37  07 

20 

30 

49  03 

47  58 

4fi  53 

45  47 

•  44  41 

43  35 

4228 

41  20 

40  13 

39  05 

37  57 

3648 

30 

40 

48  25 

47  21 

46  18 

45  14 

44  09 

43  04 

41  59 

40  54 

39  47 

3841 

37  35 

36  27 

40 

50 

47  45 

46  43 

45  41 

4438 

43  35 

42  32 

41  29 

40  24 

39  19 

38  14 

37  09 

36  04 

50 

• 

6 

OO 

47  03 

46  02 

45  01 

44  00 

42  58 

41  57 

40  54 

39  52 

3848 

37  45 

36  42 

35  36 

6           00 

lO 

46  17 

45  18 

44  18 

43  19 

42  19 

41  19 

40  18 

39  16 

38  15 

37  13 

36  II 

35  08 

10 

20 

45  31 

44  32 

43  35 

42  37 

41  37 

4038 

39  40 

38  39 

37  40 

36  39 

3538 

34  36 

20 

30 

44  41 

43  45 

42  48 

41  52 

40  54 

39  56 

3859 

38  00 

37  01 

36  02 

35  04 

34  03 

30 

40 

43  50 

42  55 

41  59 

41  04 

40  08 

n^ 

38  16 

37  18 

36  21 

35  23 

34  26 

33  27 

40 

50 

42  56 

42  03 

41  09 

40  15 

39  20 

37  30 

36  35 

35  38 

34  42 

33  47 

32  49 

50 

7 

OO 

42  01 

41  09 

40  15 

39  23 

38  30 

37  36 

36  43 

35  49 

34  54 

34  00 

33  05 

32  09 

7           00 

lO 

41  04 

40  12 

39  21 
38  24 

38  30 

3738 

36  45 

35  54 

35  01 

34  07 

33  14 

32  21 

31  27 

10 

20 

40  04 

39  14 

37  34 

36  43 

.35  53 

35  02 

34  10 

33  18 

32  27 

31  35 

30  43 

20 

30 

39  01 

38  13 

37  24 

3636 

35  47 

3458 

34  08 

33  18 

32  28 

31  38 

3048 

29  56 

30 

40 

37  59 

37  II 

36  23 

35  36 

3448 

34  01 

33  13 

32  25 

31  35 

30  46 

29  58 

29  08 

40 

50 

36  52 

36  07 

35  20 

34  34 

33  48 

33  02 

32  15 

31  28 

30  41 

29  54 

29  06 

28  18 

50 

8 

OO 

35  44 

34  59 

34  15 
3308 

33  30 

32  45 

32  01 

31  16 

3030 

29  44 
2846 

28  59 

28  13 

27  26 

8           00 

lO 

34  34 

33  51 

32  25. 

31  42 

30  58 

30  14 

29  30 

28  02 

27  18 

26  33 

10 

20 

33  23 

32  41 

31  59 

31  17 

30  35 

29  53 

29  II 

28  28 

27  46 

27  04 

26  21 

25  37 

20 

30 

32  09 

31  28 

3047 

30  07 

29  27 

28  46 

28  06 

27  25 

26  44 

26  03 

25  22 

24  40 

30 

40 

30  52 

32  '4 

29  35 

28  56 

28  17 

2738 

26  59 

26  20 

25  40 

25  OI 

24  21 

23  41 

40 

50 

29  35 

2858 

28  20 

27  42 

27  05 

26  28 

25  51 

25  13 

24  35 

23  58 

23  20 

22' 4 1 

50 

9 

OO 

28  15 

27  39 

27  03 

26  27 

25  52 

25  16 

24  41 

24  04 

23  28 

22  52 

22  16 

21  39 

9           00 

lO 

26  53 

26  19 

25  45 

25  10 

24  36 

24  02 

23  28 

22  54  • 

22  20 

21  46 

21  II 

20  35 

10 

20 

25  29 

24  56 

24  24 

23  52 

23  19 

22  48 

22  15 

21  42 

21  09 

20  37 

20  04 

19  31 

20 

30 

24  04 

23  33 

23  02 

22  32 

22  01 

21  30 

21  00 

20  28 

19  58 

1927 

18  56 

18  25 

30 

40 

22  36 

22  07 

21  38 

21  09 

20  41 

20  12 

\Vi 

19  14 

18  45 

18  16 

17  47 

17  17 

40 

50 

21  07 

20  40 

20  13 

19  46 

19  "19 

1852 

1758 

17  30 

17  03 

16  36 

16  08 

50 

lO 

OO 

19  37 

19  12 

18  46 

18  21 

17  56 

17  31 

17  06 

16  40 

16  15 

15  50 

15  25 

14  59 
13  48 

10           00 

lO 

18  05 

17  41 

17  18 

16  55 

16  32 

16  08 

15  45 

15  21 

14  58 

14  35 

14  12 

10 

20 

16  31 

16  10 

15  49 

1527 

15  06 

14  44 

14  24 

14  02 

13  40 

13  19 

12  58 

12  37 

20 

30 

14  57 

14  37 

14  17 

1358 

13  39 

13  20 

13  00 

12  41 

12  21 

12  02 

11  43 

II  24 

30 

40 

13  20 

13  03 

12  46 

12  28 

12  10 

11  53 

II  36 

II  18 

II  02 

10  44 
9  26 

10  27 

10  10 

40 

,60 

"  43 

n  27 

11  12 

JO  57 

10  42 

10  26 

10  II 

-   9  56 

9  41 

9  " 

855 

50 

11 

OO 

10  04 

9  51 

938 

9  25 

9  12 

859 

845 

832 

8  20 

8  06 

7  53 

7  41 

11            00 

lO 

^^5 

8  14 

8  03 

7  52 

741 

7  30 

7  19 

708 

657 

6  46 

6"  36 

624 

10 

20 

6  45 

6  36 

627 

6  19 

6  10 

6  01 

5  52 

5  43 

5  34 

526 

5  17 

508 

SO 

30 

5  04 

4  57 

451 

4  45 

438 

4  31 

4  24 

4  17 

4  II 

4  05 

358 

3  51 

30 

40 

3  23 

3  18 

3  14 

3  10 

3  05 

3  00 

256 

2  52 

2  48 

2  43 

2  39 

2  34 

40 

50 

I  42 

I  39 

I  37 

I  35 

I  33 

I  30 

I  28 

I  26 

I  24 

I  22 

I  20 

I  18 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00  1 

12           00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


140 


AZIMUTH  OR  TRUE  BEARING. 


1.ATITCDX:  33°. 

DECIvINATION— SAME  NAME  AS- 

LATITUDE. 

i^atitude:  33°. 

Hour  Angle* 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

h. 

m. 

o  / 

0  t 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

I 

0  / 

Ii.    m. 

0 

OO 

O  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

10 

2  45 

2  34 

2  25 

2  16 

2  08 

I  59 

I  51 

I  44 

I  38 

I  32 

I  25 

10 

20 

5  28 

508 

4  49 

4  31 

4  14 

3  58 

3  43 

3  29 

3  16 

3  02 

2  50 

20 

30 

8  o8 

7  38 

7  II 

6  44 

6  19 

5  55 

5  32 

5  12 

4  52 

4  32 

4  14 

30 

40 

10  44 

10  05 

9  28 

8  54 

8  22 

7  50 

7  21- 

652 

6  26 

6  01 

536 

40 

50 

13  14 

12  26 

II  42 

11  00 

10  20 

9  42 

9  06 

831 

7  59 

7  27 

657 

50 

1 

OO 

15  36 

14  42 

13  49 

13  01 

12  14 

II  30 

10  47 

10  08 

9  ^9 

852 

8  17 

1     00 

lO 

17  52 

16  50 

15  52 

14  57 

14  04 

13  13 

12  25 

II  40 

10  56 

10  14 

9  34 

10 

20 

1958 

18  52 

17  48 

16  46 

15  49 

14  53 

14  00 

13  09 

12  20 

II  33 

10  48 

20 

30 

21  57 

20  45 

19  37 

18  31 

17  28 

16  27 

.15  30 

14  35 

13  4" 

12  49 

12  00 

30 

40 

23  46 

22  31 

21  18 

20  08 

19  01 

17  5^6 

16  55 

15  55 

14  58 

14  02 

13  08 

40 

60 

25  27 

24  09 

22  53 

21  39 

20  29 

19  20 

18  15 

17  12 

16  10 

15  II 

14  13 

50 

2 

OO 

27  01 

25  39 

24  20 

23  04 

21  50 

20  39 

19  30 

18  24 

17  19 

16  16 

15  16 

2    00 

lO 

28  25 

27  02 

25  40 

24  22 

23  06 

21  51 

20  40 

19  30 

18  23 

17  18 

16  15 

10 

20 

29  41 

28  16 

26  53 

25  33 

24  IS 

22  59 

21  45 

20  33 

19  23 

18  15 

17  09 

20 

30 

30  49 

29  23 

27  59 

26  3S 

25  18 

24  00 

22  45 

21  31 

20  19 

19  10 

18  01 

30 

40 

31  49 

30  23 

28  59 

27  37 

28  29 

26  16 

24  57 

23  40 

22  25 

21  II 

19  59 

18  49 

40 

50 

32  43 

31  18 

29  53 

27  08 

2548 

24  31 

23  14 

21  59 

20  45 

19  33 

50 

3 

OO 

33  31 

32  05 

30  41 

29  17 

27  55 

26  35 

25  16 

23  59 

22  42 

21  27 

20  14 

3     00 

lO 

34  12 

32  47 

31  22 

29  59 

2837 

27  16 

25  57 

24  38 

23  21 

22  05 

20  51 

10 

20 

34  47 

33  22 

31  59 

30  36 

29  13 

27  52 

26  32 

25  14 

23  57 

22  40 

2!  24 

20 

30 

35  17 

33  53 

32  30 

31  07 

29  46 

28  24 

27  04 

25  45 

24  28 

23  II 

21  54 

30 

40 

35  41 

34  19 

32  55 

31  33 

30  12 

28  52 

27  32 

26  14 

24  56 

23  38 

22  21 

40 

60 

36  01 

34  39 

33  17 

31  56 

30  35 

29  15 

27  56 

26  37 

25  19 

24  01 

22  45 

50 

4 

OO 

36  16 

34  55 

33  34 

32  14 

30  54 

29  34 

28  15 

26  57 

25  39 

24  22 

23  05 

4     00 

10 

36  26 

35  07 

33  47 

32  27 

31  09 

29  49 

28  31 

27  13 

25  56 

24  38 

23  22 

10 

20 

36  33 

35  14 

33  56 

32  37 

31  19 

30  01 

28  44 

27  27 

26  10 

24  53 

23  36 

20 

30 

36  35 

35  18 

34  01 

32  43 

31  26 

30  09 

28  53 

27  36 

26  19 

25  03 

23  47 

30 

40 

36  34 

35  19 

34  02 

32  46 

31  31 

30  14 

28  58 

27  43 

26  26 

25  10 

23  55 

40 

50 

36  30 

35  15 

34  00 

32  45 

31  30 

30  15 

29  00 

27  45 

26  30 

25  15 

24  01 

50 

5 

00 

36  21 

3508 

33  55 

32  41 

31  28 

30  14 

29  00 

27  46 

26  32 

25  18 

24  04 

5     00  • 

lO 

36  11 

34  59 

33  47 

32  34 

31  21 

30  09 

2856 

27  44 

26  30 

25  17 

24  04 

10 

20 

35  56 

34  46 

33  35 

32  24 

31  13 

30  01 

28  50 

27  38 

26  26 

25  14 

24  01 

20 

30 

35  39 

34  31 

33  22 

32  II 

31  01 

29  51 

28  41 

27  30 

26  18 

25  07 

23  57 

30 

40 

35  19 

34  12 

33  04 

31  56 

30  47 

2938 

28  28 

27  19 

26  10 

24  59 

23  49 

40 

50 

34  57 

33  52 

32  45 

31  38 

30  30 

29  22 

28  15 

27  c6 

25  58 

24  49 

23  40 

50 

6 

OO 

34  32 

33  28 

32  23 

31  16 

30  10 

29  05 

27  58 

26  51 

25  43 

24  36 

23  27 

6     00 

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34  05 

33  02 

31  58 

30  53 

29  49 

28  44 

2738 

26  33 

25  27 

24  21 

23  13 

10 

20 

33  35 

32  33 

31  30 

30  28 

29  25 

28  22 

27  18 

26  13 

25  09 

24  03 

22  57 

20 

3,0 

33  03 

32  02 

31  00 

30  00 

28  58 

2756 

26  54 

25  50 

24  47 

23  43 

22  40 

30 

40 

32  28 

31  29 

30  30 

29  30 

28  29 

27  29 

26  28 

25  27 

24  25 

23  23 

22  21 

40 

50 

31  51 

30  54 

29  56 

28  57 

27  59 

27  00 

26  01 

25  00 

23  59 

22  58 

21  58 

50 

7 

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21  33 

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24  58 

24  02 

23  04 

22  06 

21  07 

10 

20 

29  50 

2856 

28  03 

27  09 

26  15 

25  19 

24  25 

23  29 

22  33 

21  37 

20  40 

20 

30 

29  05 

28  13 

27  21 

26  28 

25  36 

24  43 

23  50 

22  56 

22  01 

21  06 

20  II 

30 

40 

28  18 

27  28 

26  38 

25  46 

24  55 

24  04 

23  13 

22  20 

21  27 

20  33 

19  40 

40 

60 

27  29 

26  41 

25  52 

25  03 

24  14 

23  24 

22  33 

21  43 

20  52 

20  00 

19  09 

50 

8 

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2639 

25  53 

25  05 

24  18 

23  30 

22  41 

21  53 

21  04 

20  14 

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18  35 

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25  48 

25  02 

24  16 

23  30 

22  44 

21  58 

21  II 

20.23 

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18  48 

17  59 

10 

20 

24  53 

24  10 

23  26 

22  42 

21  58 

21  13 

20  27 

19  42 

18  56 

18  10 

17  23 

20 

30 

23  58 

23  17 

22  35 

21  51 

21  09 

20  26 

19  43 

18  59 

18  15 

17  30 

16  45 

30 

40 

23  01 

22  21 

21  41 

21  00 

20  19 

19  37 

18  55 

18  14 

17  31 

16  49 

16  06 

40 

50 

22  03 

21  25 

20  45 

20  06 

19  27 

18  48 

18  07 

17  28 

16  47 

16  06 

15  25 

60 

» 

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21  02 

20  25 

19  48 

19  12 

1834 

17  57 

17  19 

16  40 

16  02 

15  23 

14  44 

9     00 

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20  01 

19  26 

18  51 

18  16 

17  40 

17  04 

16  28 

15  52 

15  15 

1438 

14  01 

10 

20 

1858 

18  26 

17  52 

17  18 

16  45 

16  10 

15  36 

15  02 

14  27 

13  53 

13  17 

20 

30 

17  54 

17  23 

16  52 

16  19 

15  47 

15  16 

14  43 

14  II 

13  39 

13  06 

12  33 

30 

40 

16  48 

16  19 

15  49 

15  20 

14  50 

14  20 

13  50 

13  19 

12  48 

12  18 

II  47 

40 

50 

15  41 

15  15 

14  47 

14  19 

13  51 

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12  55 

12  27 

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II  29 

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50 

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14  33 

14  08 

13  43 

13  17 

12  51 

12  26 

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II  33 

II  07 

10  39 

10  13 

10     00 

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13  24 

13  01 

12  38 

12  14 

II  50 

II  26 

II  03 

10  38 

10  14 

9  49 

9  24 

10 

20 

12  15 

11  54 

II  32 

11  10 

ID  48 

10  27 

10  05 

9  43 

9  20 

858 

8  35 

20 

30 

II  04 

10  45 

10  25 

10  06 

946 

9  26 

9  07 

8  47 

8  27 

S  06 

7  46 

30 

40 

9  53 

9  35 

9  18 

9  00 

8  43 

8  25 

8  07 

7  50 

7  32 

7  14 

6  56 

40 

50 

8  42 

8  25 

8  10 

7  55 

7  39 

7  23 

708 

653 

6  36 

6  21 

6  05 

50 

11 

OO 

7  27 

7  14 

7  00 

6  47 

635 

6  2: 

6  07 

5  54 

5  40 

5  27 

5  14 

11     00 

lO 

6  13 

6  03 

5  52 

5  40 

5  29 

'  5  18 

5  07 

4  56 

4  45 

4  33 

4  22 

10 

20 

4  59 

4  50 

4  42 

4  33 

4  24 

4  15 

4  07 

3  57 

3  48 

3  39 

3  30 

•   20 

30 

3  45 

338 

3  32 

3  25 

3  18 

3  II 

3  04 

2  59 

2  52 

2  45 

2  37 

30 

40 

2  30 

2  26 

2  21 

2  17 

2  12 

2  08 

2  03 

I  59 

I  54 

I  49 

1  45 

40 

50 

I  16 

I  ^3 

1  II 

I  08 

I  06 

I  04 

I  02 

I  00 

0  58 

0  55 

0  53 

50 

12 

J 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 
»- 

0  00 

12     00 

1 

In  Jiorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sooth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


141 


AZIMUTH  OR  TRUE  BEARING: 


IjATITVDS:  34°. 

DECWNATION- 

-SAME  NAME  AS— I,ATITUDE. 

L.ATITIJDC:  34°. 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

b. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  t 

0  / 

0  / 

0  / 

0  / 

0  / 

b.    m. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0    00 

lO 

167  02 

165  46 

164  13 

162  15 

159  41 

156  .15 

151  24 

144  13 

132  49 

114  56 

"s^'is" 

6325 

10 

20 

155  07 

152  55 

150  18 

147  06 

143  09 

138  13 

131  58 

124  04 

114  07 

102  06 

8836 

74  57 

20 

30 

144  50 

142  08 

138  59 

135  19 

131  02 

126  00 

120  08 

113  19 

105  34 

97  00 

8754 

78  41 

30 

40 

136  17 

133  23 

130  07 

126  27 

122  19 

117  42 

112  32 

106  50 

100  39 

94  03 

87  12 

80  16 

40 

50 

129  15 

126  23 

123  II 

119  43 

"5  54 

III  45 

107  17 

102  27 

97  21 

91  59 

86  30 

80  56 

50 

1 

OO 

123  28 

120  41 

117  41 

114  28 

III  00 

107  18 

103  22 

99  13 

94  53 

90  24 

85  47 

81  08 

1     00 

lO 

118  58 

116  00 

113  13 

no  14 

107  06 

103  47 

100  18 

96  40 

92  54 

89  02 

85  05 

81  05 

10 

20 

114  34 

112  06 

109  30 

106  47 

103  54 

100  55 

97  48 

94  34 

91  15 

87  50 

84  22 

80  52 

20 

30 

III  05 

108  46 

106  21 

103  49 

loi  13 

9829 

95  40 

92  46 

89  47 

8645 

833? 

80  31 

30 

40 

108  02 

105  52 

103  37 

loi  18 

9853 

96  23 

93  49 

91  10 

88  29 

fS'^ 

8256 

80  07 

40 

50 

105  23 

103  20 

loi  13 

99  03 

96  49 

94  31 

92  09 

8945 

87  17 

8446 

82  13 

79  38 

50 

2 

OO 

102  58 

loi  03 

99  05 

97  03 

94  58 

92  49 

90  39 

88  24 

86  08 

8349 

81  29 

79  06 

2    00 

lO 

100  49 

99  00 

97  08 

95  14 

93  17 

91  17 

89  15 

87  II 

8504 

8255 

80  45 

7833 

10 

20 

98  49 

97  06 

95  21 

93  33 

91  44 

89  51 

^?57 

86  00 

84  02 

82  02 

80  00 

7758 

20 

30 

96  59 

95  21 

93  42 

91  59 

90  16 

88  30 

8643 

8453 

83  01 

81  09 

79  15 

77  20 

30 

40 

95  16 

93  44 

92  09 

90  32 

8853 

87  13 

85  32 

83  48 

82  03 

80  17 

78  30 

76  41 

40 

50 

93  39 

92  II 

90  40 

89  09 

87  25 

86  00 

84  23 

82  46 

81  06 

79  25 

77  44 

76  01 

50 

3 

OO 

92  08 

90  43 

89  16 

8748 

86  20 

8449 

83  17 

81  44 

80  10 

78  34 

7658 

75  20 

3     00 

lO 

90  41 

89  19 

8756 

8632 

85  07 

83  40 

82  13 

80  44 

79  13 

77  43 

76  10 

74  37 

10 

20 

89  17 

8758 

8639 

85  18 

83  57 

82  34 

81  10 

79  44 

78  18 

76  51 

75  23- 

73  54 

20 

30 

8755 

86  40 

85  24 

84  06 

8247 

Si  27 

80  07 

7845 

77  23 

75  59 

74  35 

73  10 

30 

40 

8637 

85  24 

84  10 

8255 

81  39 

80  23 

79  05 

77  47 

76  27 

75  07 

73  46 

72  24 

40 

50 

85  21 

84  10 

82  58 

81  47 

8033 

79  19 

78  04 

7648 

75  32 

74  15 

72  57 

71  38 

50 

4 

OO 

84  06 

82  58 

81  49 

8038 

79  27 

78  16 

77  04 

75  51 

74  37 

73  22 

72  07 

70  51 

4    00 

lO 

82  53 

81  46 

80  39 

79  31 

78  22 

77  12 

76  03 

74  52 

73  40 

72  28 

71  15 

70  02 

1» 

20 

81  39 

80  35 

79  27 

78  24 

77  17 

76  09 

75  02 

73  53 

72  44 

71  34 

70  23 

69  12 

20 

30 

80  28 

79  25 

78  21 

77  17 

76  12 

75  07 

74  00 

72  55 

71  47 

70  39 

69  31 

68  22 

30 

40 

79  17 

7816 

77  14 

76  II 

75  08 

74  04 

73  00 

71  55 

70  49 

6943 

68  37 

67  30 

40 

SO 

78  06 

77  07 

76  05 

75  04 

74  03 

73  01 

71  58 

70  55 

69  52 

68  47 

67  42 

6637 

50 

5 

OO 

7655 

75  57 

74  58 

73  58 

7258 

71  57 

70  55 

69  54 

68  52 

67  50 

66  46 

65  44 

5     00 

lO 

75  45 

74  47 

73  49 

72  51 

71  52 

70  53 

69  53 

68  53 

67  52 

66  51 

65  50 

6448 

10 

20 

74  33 

73  37 

72  40 

71  44 

70  46 

69  47 

68  49 

67  51 

6651 

65  52 

64  52 

63  52 

20 

30 

73  22 

72  27 

71  31 

70  35 

69  39 

68  42 

67  45 

66  48 

65  50 

64  51 

63  52 

62  53 

30 

40 

72  11 

71  16 

70  21 

69  26 

68  31 

6736 

6639 

65  43 

64  46 

63  49 

62  52 

61  54 

40 

60 

7058 

70  05 

69  II 

68  17 

67  23 

66  28 

65  33 

64  38 

63  43 

62  47 

61  50 

60  54 

50 

6 

OO 

69  44 

6852 

67  59 

67  06 

66  13 

65  19 

64  25 

63  32 

6237 

61  42 

6047 

59  52 

6   .  00 

lO 

68  30 

6738 

66  46- 

65  54 

65  02 

64  09 

63  16 

62  23 

61  29 

6036 

59  42 

5848 

10 

20 

67  15 

66  24 

65  32 

64  41 

63  50 

62  58 

62  07 

61  15 

60  22 

59  29 

5836 

57  44 

20 

30 

6558 

6508 

64  17 

63  27 

62  37 

61  45 

60  54 

60  04 

59  12 

58  21 

57  29 

56  37 

30 

40 

64  40 

63  51 

63  01 

62  II 

61  21 

60  31 

59  42 

5852 

58  00 

57  10 

56  19 

55  28 

40 

50 

63  20 

62  32 

61  43 

60  54 

60  05 

59  16 

58  27 

57  38 

56  47 

55  58 

5508 

54  17 

50 

7 

OO 

62  00 

61  II 

60  23 

59  35 

5847 

57  58 

57  10 

56  22 

55  33 

54  44 

53  55 

53  06 

7    00 

lO 

60  36 

59  49 

59  01 

58  13 

57  27 

5639 

55  51 

55  03 

54  15 

53  28 

52  40 

51  52 

10 

20 

59  II 

58  25 

57  38 

56  51 

56  05 

55  18 

54  31 

53  45 

52  57 

52  10 

51  23 

50  37 

20 

30 

57  45 

56  59 

56  12 

55  27 

54  40 

53  54 

53  09 

52  22 

51  37 

50  51 

50  04 

49  19 

30 

40 

56  15 

55  30 

54  44 

53  59 

53  15 

52  29 

51  44 

5059 

50  14 

49  29 

48  43 

48  00 

40 

50 

54  44 

54  00 

53  15 

52  30 

51  46 

51  02 

50  17 

49  33 

4848 

48  05 

47  20 

46  37 

60 

8 

OO 

53  10 

52  26 

51  42 

50  59 

50  15 

49  31 

48  48 

48  05 

47  21 

4638 

45  55 

45  12 

8    00 

lO 

51  33 

50  51 

50  07 

49  24 

48  41 

4758 

47  17 

46  35 

45  51 

45  10 

44  27 

43  45 

10 

20 

49  53 

49  12 

48  29 

47  47 

47  05 

46  23 

45  42 

45  01 

44  19 

43  39 

42  57 

42  16 

20 

30 

48  12 

47  31 

46  48 

46  07 

45  26 

44  46 

44  05 

43  26 

42  44 

42  05 

41  24 

40  45 

30 

40 

46  26 

45  46 

45  05 

44  25 

43  45 

43  05 

42  26 

41  47 

41  07 

40  29 

39  49 

39  II 

40 

50 

44  38 

43  58 

43  19 

42  39 

42  00 

41  22 

40  43 

40  06 

39  27 

3850 

38  12 

37  35 

50 

9 

OO 

42  46 

42  07 

41  29 

40  51 

40  13 

39  36 

3859 

38  21 

37  45 

3708 

36  31 

35  56 

9     00 

lO 

40  50 

40  13 

39  36 

38  59 

38  23 

37  46 

37  10 

36  34 

35  59 

35  24 

34  49 

34  14 

10 

20 

38  52 

38  17 

37  40 

37  05 

36  29 

35  54 

35  20 

34  46 

34  II 

33  37 

33  04 

32  31 

20 

30 

36  50 

36  15 

35  40 

35  07 

34  32 

33  59 

33  26 

32  53 

32  20 

31  48 

31  16 

30  44 

30 

40 

34  44 

34  II 

33  37 

33  05 

32  32 

32  00 

31  29 

3058 

30  27 

29  55 

29  25 

2855 

40 

50 

32  35 

32  03 

31  32 

31  00 

30  29 

29  59 

29  29 

2859 

28  30 

28  00 

27  32 

27  04 

50 

10 

OO 

30  22 

29  52 

29  22 

28  52 

28  23 

27  55 

27  27 

26  59 

26  31 

26  04 

25  36 

25  09 

10     00 

lO 

28  05 

27  37 

27  09 

26  42 

26  14 

25  47 

25  21 

24  55 

24  29 

24  03 

23  38 

23  13 

10 

20 

25  45 

25  20 

24  52 

24  27 

24  03 

23  37 

23  12 

22  49 

22  25 

22  01 

21  38 

21  15 

20 

30 

23  22 

22  58 

22  34 

22  10 

21  48 

21  25 

21  02 

20  40 

20  18 

19  56 

19  35 

19  14 

30 

40 

20  55 

20  34 

20  12 

19  50 

19  30 

19  09 

18  49 

18  29 

18  09 

17  49 

17  30 

17  12 

40 

50 

18  26 

18  07 

17  47 

17  27 

17  09 

16  51 

16  33 

16  15 

15  58 

15  41 

15  23 

15  06 

50 

11 

OO 

15  53 

15  36 

15  19 

15  03 

14  47 

14  31 

14  16 

14  00 

13  44 

13  30 

13  15 

13  00 

11     00 

lO 

13  19 

13  04 

12  49 

12  36 

12  22 

12  09 

11  56 

II  43 

11  30 

\t   17 

II  05 

10  53 

10 

20 

10  41 

10  30 

10  18 

10  07 

9  56 

9  45 

9  34 

9  24 

9  13 

9  °l 

854 

8  44 

20 

30 

8  02 

7  54 

7  45 

7  37 

7  29 

7  20 

7  12 

7  04 

657 

6  48 

6  41 

6  34 

30 

40 

5  22 

5  17 

5  " 

5  05 

4  59 

4  54 

4  48 

4  44 

4  38 

4  33 

4  28 

4  22 

40 

50 

2  41 

2  39 

236 

2  32 

2  30 

2  27 

2  24 

2  22 

2  20 

2  17 

2  14 

2  II 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sooth  latitode,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;' and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


142 


AZIMUTH  OR  TRUE  BEARING. 


latitudb:  34°. 

DECIvINATION- 

-SAME  NAME  AS— LATITUDE. 

1 
LATITUDE  34°.  , 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle.  1 

1 

Ii.    m. 

o  / 

0  1 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  > 

0  / 

0  / 

0  / 

ll.       Ul. 

O    OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

1)  00 

0  00 

0  00 

0  00 

0     00 

10 

44  58 

33  26 

26  06 

21  09 

17  39 

15  04 

13  05 

II  30 

10  14 

9  10 

817 

7  31 

10 

20 

62  33 

52  11 

43  53 

37  20 

32  10 

28  02 

24  42 

21  58 

19  41 

17  46 

16  08 

14  43 

20 

30 

69  50 

61  41 

54  27 

48  09 

42  44 

38  08 

34  12 

30  49 

27  56 

25  25 

23  14 

21  18 

30 

40 

73  27 

6654 

60  49 

55  13 

50  09 

45  37 

41  35 

37  59 

34  48 

31  58 

29  26 

27  10 

40 

50 

75  23 

70  00 

64  49 

59  55 

55  19 

51  06 

47  II 

43  37 

40  21 

37  24 

34  42 

32  14 

50 

1     OO 

76  29 

71  55 

67  26 

63  07 

59  00 

55  07 

51  26 

48  01 

44  49 

41  51 

39  07 

36  34 

1     00 

lO 

77  04 

73  05 

69  II 

6521 

61  38 

58  04 

54  40 

51  26 

48  22 

45  29 

42  46 

40  12 

10 

20 

77  20 

73  49 

70  20 

6654 

6333 

60  17 

57  07 

54  06 

51  11 

48  24 

45  46 

43  15 

20 

30 

77  22 

74  13 

71  06 

68  00 

6456 

61  56 

5900 

56  10 

53  25 

50  46 

48  13 

45  47 

30 

40 

77  16 

74  25 

71  33 

68  44 

65  55 

63  10 

60  26 

57  47 

55  12 

52  40 

50  15 

47  52 

40 

60 

77  02 

74  26 

71  49 

69  13 

66  37 

64  04 

61  32 

59  03 

5636 

54  12 

51  52 

49  36 

50 

2     OO 

76  43 

74  19 

71  54 

69  29 

67  05 

64  42 

62  20 

59  59 

57  40 

55  25 

53  II 

51  00 

2     00 

10 

76  19 

74  05 

71  51 

69  36 

67  22 

6508 

62  54 

60  42 

5831 

56  22 

54  15 

52  09 

10 

20 

75  53 

7348 

71  43 

6936 

67  29 

65  24 

63  18 

61  14 

59  09 

57  07 

55  05 

53  04 

20 

30 

75  24 

73  26 

71  29 

69  29 

67  30 

65  32 

63  33 

61  35 

59  37 

57  40 

55  43 

53  48 

30 

40 

74  51 

73  01 

71  10 

69  17 

67  26 

65  33 

63  40 

61  48 

59  55 

58  03 

56  13 

54  22 

40 

50 

74  17 

72  32 

70  47 

69  01 

67  15 

65  28 

63  40 

61  54 

60  07 

58  20 

56  33 

54  47 

50 

3     00 

73  41 

72  02 

70  22 

68  41 

67  00 

65  18 

6336 

6i  54 

60  II 

58  29 

56  47 

55  05 

3     00 

lO 

73  04 

71  29 

69  53 

68  17 

66  41 

65  04 

63  25 

61  48 

60  10 

5832 

56  54 

55  15 

10 

20 

72  24 

.  70  54 

69  23 

67  51 

66  18 

64  46 

63  12 

61  38 

60  04 

58  29 

56  55 

55  21 

20 

30 

71  44 

70  17 

68  49 

67  21 

65  53 

64  24 

62  53 

61  24 

59  53 

58  22 

56  51 

55  20 

30 

40 

71  01 

6938 

68  15 

66  50 

65  25 

63  59 

62  32 

61  06 

59  39 

58  II 

56  43 

55  15 

40 

50 

70  19 

^58 

67  37 

66  16 

64  53 

63  31 

62  08 

60  45 

59  20 

57  56 

56  30 

55  05 

50 

4     OO 

69  33 

68  17 

6659 

65  40 

64  20 

63  00 

61  40 

60  20 

58  58 

57  36 

56  14 

54  52 

4     00 

10 

68  47 

67  33 

66  17 

65  01 

63  45 

62  27 

61  10 

59  52 

58  33 

57  14 

55  55 

54  35 

10 

20 

68  00 

66  48 

65  35 

64  22 

63  o8- 

61  53 

60  37 

59  22 

58  05 

56  49 

55  32 

54  15 

20 

30 

67  12 

66  02 

64  51 

63  39 

62  28 

61  16 

60  02 

58  49 

57  35 

56  21 

55  06 

53  50 

30 

40 

66  22 

65  14 

64  05 

62  56 

61  46 

6037 

59  26 

58  14 

57  02 

55  50 

54  37 

53  25 

40 

50 

65  31 

64  25 

63  18 

62  II 

61  04 

59  56 

5846 

57  37 

56  27 

55  17 

54  06 

52  55 

50 

5     OO 

64  39 

63  34 

62  30 

61  24 

60  18 

59  II 

58  04 

56  57 

55  49 

54  41 

53  32 

52  23 

5     00 

lO 

63  46 

62  42 

61  39 

60  36 

59  31 

58  26 

57  21 

56  16 

55  10 

54  03 

52  56 

51  48 

10 

20 

62  51 

61  49 

60  47 

59  45 

58  42 

57  40 

5636 

55  32 

54  27 

53  23 

52  18 

51  12 

20 

30 

61  53 

60  54 

59  54 

58  54 

57  52 

56  51 

55  49 

54  47 

53  43 

52  40 

51  36 

50  34 

30 

40 

6056 

59  57 

5858 

58  00 

57  00 

56  00 

54  59 

53  58 

52  57 

51  56 

50  54 

49  51 

40 

50 

5958 

59  00 

58  02 

57  04 

56  06 

55  08 

54  09 

53  09 

52  09 

51  09 

50  08 

49  07 

50 

6     OO 

5856 

58  01 

57  04 

5608 

55  10 

54  13 

53  15 

52  17 

51  19 

50  20 

49  21 

48  22 

6     00 

lO 

57  54 

56  59 

56  04 

55  09 

54  13 

53  17 

52  20 

51  24 

50  27 

.  49  29 

48  32 

47  33 

l-O 

20 

56  50 

55  57 

55  02 

54  08 

53  14 

52  20 

51  25 

50  29 

49  33 

48  37 

47  40 

46  44 

20 

30 

55  44 

54  52 

53  59 

53  07 

52  13 

51  19 

50  25 

49  31 

48  37 

47  42 

46  47 

45  52 

30 

40 

54  37 

53  45 

52  54 

52  02 

51  10 

50  17 

49  25 

48  32 

4738 

46  45 

45  51 

44  58 

40 

50 

53  28 

52  37 

51  47 

50  56 

50  05 

49  14 

48  22 

47  31 

4638 

45  46 

44  54 

44  02 

50 

7     OO 

52  17 

51  27 

50  38 

49  49 

4858 

48  09 

47  19 

46  28 

45  37 

44  46 

43  55 

43  04 

7     00 

lO 

51  03 

50  16 

49  27 

48  38 

47  50 

47  o' 

46  12 

45  23 

44  33 

43  44 

42  53 

42  03 

10 

20 

49  49 

49  02 

48  14 

4726 

46  39 

45  52 

45  03 

44  16 

43  27 

42  39 

41  50 

41  01 

20 

30 

4832 

47  46 

47  00 

46  13 

45  27 

44  40 

43  53 

43  07 

42  19 

41  32 

40  44 

39  57 

30 

40 

47  13 

46  28 

45  43 

44  57 

44  12 

43  27 

42  41 

41  56 

41  09 

40  24 

39  37 

38  51 

40 

50 

45  53 

4508 

44  24 

43  40 

42  55 

42  12 

41  27 

40  42 

39  57 

39  12 

38  28 

37  43 

50 

M     OO 

44  29 

43  45 

43  02 

42  19 

41  36 

40  53 

40  09 

3926 

3843 

38  00 

37  16 

36  32 

8     00 

10 

43  03 

42  21 

41  40 

40  58 

40  15 

39  34 

38  51 

38  09 

37  27 

36  45 

36  03 

35  21 

10 

20 

41  35 

40  54 

40  14 

39  33 

38  52 

38  II 

37  31 

36  50 

36  09 

35  27 

34  47 

34  06 

20 

30 

40  05 

39  25 

3846 

38  06 

37  27 

36  48 

3608 

35  28 

34  49 

34  10 

33  30 

32  50 

30 

40 

3832 

37  53 

37  16 

36  37 

35  59 

35  21 

34  42 

34  05 

33  26 

3248 

32  10 

31  32 

40 

50 

36  57 

36  20 

35  43 

35  06 

34  29 

33  53 

33  15 

32  39 

32  01 

31  25 

30  49 

30  12 

50 

9     OO 

35  20 

34  43 

34  08 

33  32 

32  57 

32  21 

31  46 

31  II 

30  35 

30  00 

29  25 

28  50 

9     00 

lO 

33  40 

33  05 

32  30 

31  56 

31  23 

30  48 

30  15 

29  41 

29  07 

28  33 

28  00 

27  26 

10 

20 

31  57 

31  24 

30  51 

30  18 

29  46 

29  14 

28  41 

28  10 

27  37 

27  05 

26  32 

26  01 

20 

30 

30  12 

29  40 

29  10 

28  38 

28  07 

27  36 

27  06 

26  35 

26  04 

25  34 

25  03 

24  33 

30 

40 

28  24 

27  54 

27  25 

26  55 

26  26 

25  57 

25  28 

24  59 

24  29 

24  01 

23  32 

23  04 

40 

60 

26  35 

26  07 

25  39 

25  11 

24  43 

24  16 

2348 

23  22 

22  54 

22  27 

21  59 

21  33 

50 

lO     OO 

24  42 

24  16 

23  50 

23  24 

22  58 

22  32 

22  06 

21  42 

21  16 

20  51 

20  25 

20  01 

10     00 

lO 

22  48 

22  23 

21  59 

21  34 

21  II 

20  47 

20  23 

20  00 

19  36 

19  13 

18  49 

18  26 

10 

20 

20  52 

20  28 

20  06 

19  44 

19  22 

19  00 

1839 

18  17 

17  54 

17  33 

17  12 

16  51 

20 

30 

18  52 

18  32 

18  II 

17  52 

17  31 

17  II 

16  52 

16  32 

16  12 

15  53 

15  33 

15  14 

30 

40 

16  52 

16  34 

16  15 

15  57 

1538 

15  21 

15  03 

14  45 

14  28 

14  II 

13  52 

13  36 

40 

50 

14  50 

14  33 

14  17 

14  01 

13  45 

13  29 

13  13 

12  58 

12  42 

12  27 

12  12 

II  58 

50 

11     OO 

12  45 

12  31 

12  17 

12  03 

II  49 

II  36 

II  22 

II  09 

10  55 

10  42 

10  29 

10  16 

11     00 

lO 

10  40 

10  29 

10  17 

10  05 

9  53 

9  42 

9  31 

9  19 

9  08 

857 

8  46 

8  35 

10 

20 

834 

8  24 

815 

8  06 

756 

7  47 

7  37 

7  28 

7  19 

7  II 

7  02 

6  53 

20 

30 

6  26 

6  19 

6  II 

6  05 

5  57 

5  51 

5  44 

5  37 

5  30 

5  23 

5  16 

5  10 

30 
40 
50 

40 

4  18 

4  13 

4  09 

4  04 

3  59 

3  54 

3  50 

3  45 

3  41 

335 

332 

3  27 

50 

2  09 

2  07 

2  04 

2  02 

I  59 

I  57 

I  55 

I  52 

I  51 

I  48 

I  46 

I  44 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


143 


AZIMUTH  OR  TRUE   BEARING. 


liATITUDE  34°. 

DECI^INATION- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  34°. 

Hour 

Angle,  f 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

66° 

57° 

58° 

59° 

Hour  Angle. 

h. 

111. 

O   ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  / 

b.    ni. 

O 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

652 

6  18 

548 

5  22 

458 

4  37 

4  17 

4  00 

3  43 

3  28 

3  15 

3  02 

10 

20 

13  29 

12  24 

II  26 

10  34 

9  48 

9  07 

8  29 

855 

7  23 

6  55 

6  28 

6  03 

20 

30 

19  46 

18  07 

16  45 

15  32 

14  27 

13  27 

12  32 

II  43 

10  57 

10  14 

9  35 

859 

30 

40 

25  08 

23  19 

21  40 

20  10 

18  48 

17  32 

16  24 

15  20 

14  22 

1327 

12  37 

II  50 

40 

50 

30  01 

2758 

26  05 

24  22 

22  47 

21  20 

19  59 

18  44 

17  35 

16  31 

15  30 

14  33 

50 

1 

OO 

34  13 

32  02 

30  01 

28  09 

26  25 

24  48 

23  19 

21  54 

20  35 

19  22 

18  13 

17  08 

1     00 

lO 

37  50 

35  35 

33  29 

31  31 

29  40 

27  57 

26  19 

24  48 

23  22 

22  01 

20  45 

19  34 

10 

20 

40  52 

38  37 

3628 

34  28 

32  33 

30  46 

29  04 

27  27 

2556 

24  29 

23  07 

21  49 

20 

30 

43  27 

41  13 

39  05 

37  03 

35  06 

33  16 

31  31 

29  50 

28  15 

26  44 

25  18 

23  55 

30 

40 

45  36 

43  24 

41  18 

39  16 

37  20 

35  28 

33.41 

31  58 

30  20 

28  46 

27  16 

25  50 

40 

50 

47  24 

45  16 

43  II 

41  11 

39  15 

37  24 

35  35 

33  52 

32  12 

30  36 

29  04 

27  35 

50 

2 

OO 

48  53 

46  49 

44  47 

42  50 

40  55 

39  04 

37  17 

35  33 

33  52 

32  16 

30  41 

29  10 

2     00 

lO 

50  07 

48  07 

46  09 

44  13 

42  21 

40  32 

3845 

37  02 

35  20 

33  « 

32  08 

30  37 

10 

20 

51  07 

49  13 

47  16 

45  24 

43  34 

41  46 

40  02 

38  19 

3638 

35  02 

33  26 

31  54 

20 

30 

51  55 

50  03 

48  12 

46  23 

44  35 

42  50 

41  07 

39  26 

37  46 

36  09 

34  35 

33  03 

30 

n 

52  33 

50  45 

48  57 

47  II 

45  27 

43  45 

42  03 

40  23 

3845 

37  10 

35  35 

34  03 

40-» 

53  02 

51  18 

49  34 

47  51 

46  09 

44  29 

42  50 

41  12 

39  36 

38  01 

36  27 

34  56 

50 

3 

OO 

53  24 

51  43 

50  02 

48  22 

46  43 

45  06 

43  29 

41  53 

40  18 

38  44 

37  12 

35  42 

3     00 

lO 

5338 

52  01 

50  24 

48  46 

47  II 

45  36 

44  00 

42  27 

40  54 

39  22 

37  51 

36  21 

10 

20 

53  46 

52  12 

5038 

49  04 

47  31 

4558 

44  26 

42  54 

41  23 

39  52 

38  22 

36  54 

20 

30 

53  49 

52  17 

50  46 

49  16 

47  45 

46  14 

44  44 

43  15 

41  45 

40  17 

38  49 

37  22 

30 

40 

53  47 

52  19 

50  50 

49  21 

47  54 

46  26 

44  57 

43  29 

42  02 

40  36 

39  09 

37  43 

40 

50 

53  40 

52  15 

50  49 

49  23 

47  57 

46  32 

45  06 

43  40 

42  15 

40  50 

39  24 

•38  00 

50 

4 

OO 

53  29 

52  06 

50  44 

49  20 

47  56 

"  46  32 

45  10 

43  46 

42  22 

40  59 

39  36 

38  13 

4     00 

lO 

53  ^5 

51  54 

50  33 

49  12 

47  51 

46  30 

45  09 

43  46 

42  25 

41  03 

39  42 

38  21 

10 

20 

.  52  57 

51  38 

50  20 

49  01 

47  41 

46  23 

45  03 

43  43 

42  24 

41  03 

39  44 

38  24 

20 

30 

52  35 

51  19 

50  03 

48  46 

47  29 

46  12 

44  54 

43  36 

42  19 

41  00 

39  42 

38  24 

30 

40 

52  11 

50  56 

49  42 

^V2 

47  13 

45  57 

44  42 

43  26 

42  09 

40  53 

39  36 

38  20 

40 

50 

51  44 

50  32 

49  19 

48  06 

46  53 

45  40 

44  26 

43  11 

41  56 

40  43 

3928 

38  12 

50 

5 

OO 

51  14 

50  03 

4853 

47  41 

46  30 

45  19 

44  07 

42  54 

41  42 

40  28 

39  16 

38  02 

5     00 

lO 

50  40 

49  32 

48  24 

47  14 

46  05 

44  55 

43  45 

42  33 

41  23 

40  12 

39  °o 

37  47 

10 

20 
30 

50  05 

4859 

47  52 

46  45 

45  37 

44  29 

43  20 

42  II 

41  01 

39  51 

38  41 

37  32 

20 

'♦t^c 

48  23 

47  iS 

46  11 

45  05 

43  59 

42  53 

41  44 

40  37 

39  29 

38  20 

37  12 

30 

40 

48  48 

47  45 

46  41 

45  37 

44  32 

43  27 

42  22 

41  16 

40  10 

39  03 

37  56 

36  49 

40 

50 

48  06 

47  OS 

46  03 

44  59 

43  56 

42  53 

41  49 

4045 

39  40 

38  35 

37  29 

36  24 

50 

6 

OO 

47  22 

46  22 

45  21 

44  20 

43  18 

42  16 

41  14 

40  II 

39  08 

38  04 

37  OO 

35  56 

6     00 

lO 
20 
30 
40 
50 

46  36 

45  37 

44  37 

43  37 

42  38 

41  37 

40  36 

39  34 

38  33 

37  31 

36  29 

35  26 

10 

45  47 

44  50 

43  52 

42  53 

41  55 

40  56 

39  57 

-3857 

37  57 

3656 

35  55 

34  54 

20 

44  56 

44  00 

43  03 

42  07 

41  10 

40  12 

39  14 

38  16 

37  17 

36  19 

35  19 

34  19 

30 

44  04 

43  09 

42  14 

41  18 

40  23 

39  27 

38  30 

37  33 

3636 

35  39 

34  40 

33  41 

40 

43  09 

42  15 

41  22 

40  28 

39  33 

3838 

37  43 

3648 

35  52 

34  56 

34  00 

33  03 

50 

7 

OO 

42  12 

41  20 

40  27 

39  34 

3842 

37  49 

36  55 

36  01 

35  07 

34  12 

33  17 

32  21 

7     00 

10 

41  13 

40  22 

39  31 

3839- 

37  48 

36  57 

36  04 

35  11 

34  19 

33  26 

32  31 

31  38 

10 

20 
30 

40  12 

39  23 

3833 

37  43 

36  53 

36  03 

35  II 

34  20 

33  29 

32  38 

31  45 

30  53 

20 

39  10 

38  22 

37  33 

36  44 

35  55 

35  06 

34  17 

33  28 

32  38 

31  47 

30  56 

30  06 

30 

40 

38  05 

37  18 

36  31 

35  43 

34  56 

3408 

33  20 

32  32 

31  44 

30  56 

30  06 

29  17 

40 

50 

36  58 

36  13 

35  27 

34  41 

33  55 

33  09 

32  23 

31  36 

3049 

30  01 

29  14 

2§26 

50 

8 

OO 

3548 

35  04 

34  21 

33  36 

32  52 

32  07 

31  22 

30  37 

29  51 

29  05 

28  20 

27  34 

8     00 

lO 

3438 

33  55 

33  13 

32  29 

31  46 

31  03 

30  20 

29  36 

28  53 

28  09 

27  23 

26  39 

10 

20 

33  26 

32  44 

32  03 

31  21 

30  40 

2958 

29  t6 

2833 

27  51 

27  ID 

2626 

25  43 

20 

30 

32  II 

31  31 

30  51 

30  II 

29  31 

28  51 

28  II 

27  30 

26  49 

26  08 

25  27 

24  45 

30 

40 

30  55 

30  15 

2938 

2859 

28  20 

2742 

27  03 

26  24 

25  45 

25  06 

24  26 

23  47 

40 

oO 

29  36 

2859 

28  22 

27  44 

27  07 

26  31 

.  25  54 

25  16 

24  39 

24  01 

23  23 

22  45 

50 

9 

OO 

2815 

27  39 

27  05 

26  29 

25  53 

25  18 

24  42 

24  06 

23  31 

22  56 

22  19 

21  43 

9     00 

lO 

26  52 

26  19 

25  45 

25  12 

24  3& 

24  05 

23  30 

22  57 

22  23 

21  48 

21  14 

20  40 

10 

20 

25  29 

24  58 

24  25 

23  53 

23  21 

22  49 

22  17 

21  44 

21  II 

20  39 

20  07 

19  34 

20 

30 

24  03 

23  33 

23  03 

22  31 

22  02 

21  31 

21  01 

20  31 

20  00 

19  29 

18  58 

18  27 

30 

40 

22  35 

22  06 

21  38 

21  09 

20  41 

20  13 

19  44 

19  16 

18  46 

18  18 

17  49 

17  20 

40 

50 

21  06 

20  40 

20  13 

19  46 

19  19 

18  52 

18  26 

17  58 

17  32 

17  06 

16  38 

16  II 

50 

10 

OO 

19  35 

19  II 

18  46 

18  20 

17  56 

17  31 

17  06 

16  41 

16  16 

15  51 

15  26 

15  01 

10     00 

lO 

1803 

17  40 

17  17 

16  53 

16  31 

16  08 

15  45 

15  22 

14  59 

14  36 

14  13 

13  50 

10 

20 

16  30 

16  08 

15  47 

15  26 

15  05 

14  44 

14  23 

14  02 

13  41 

13  20 

12  59 

12  38 

20 

30 

14  55 

14  36 

14  16 

13  57 

1338 

13  20 

13  00 

12  41 

12  22 

12  03 

II  44 

II  24 

30 

40 

13  18 

13  01 

12  45 

12  28 

12  10 

II  53 

II  36 

II  19 

II  02 

10  45 

IP  28 

10  II 

40 

50 

II  42 

II  26 

II  11 

10  56 

10  41 

10  26 

10  II 

9  56 

9  41 

9  27 

9  II 

8  56 

50 

11 

OO 

10  03 

950 

9  37 

9  24 

9  11 

858 

845 

832 

8  19 

8  06 

7  54 

7  41 

11     00 

10 

8  24 

8  12 

8  01 

7  51 

7  40 

7  29 

7  19 

708 

657 

6  46 

635 

625 

10 

20 
30 
40 
50 

6  43 

6  36 

627 

6  18 

6  09 

6  01 

5  51 

5  43 

5  35 

5  25 

5  17 

508 

20 

5  04 

4  57 

4  50 

4  44 

4  37 

4  31 

4  25 

4  17 

4  II 

4  05 

3  59 

3  51 

30 

3  23 

3  18 

3  14 

3  09 

3  05 

3  01 

2  57 

2  52 

2  47 

2  43 

2  39 

2  35 

40 

I  41 

I  39 

1  37 

I  35 

I  33 

I  30 

I  28 

I  26 

I  24 

I  22 

I  20 

I  17 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Aorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  nour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


144 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  34°. 

DECIvINATION— SAME  NAME  AS- 

-i:.ATITUJ)E. 

.  liATITUDE  34°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

II.      lU. 

o  / 

0  r 

0  1 

0  ' 

0  / 

0  r 

0  / 

0  / 

0  / 

0  / 

0  ' 

b.    m. 

O     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

2  51 

2  40 

2  30 

2  20 

2  II 

2  03 

1.55 

I  48 

I  40 

I  33 

1  27 

10 

ao 

5  39 

5  18 

4  58 

4  40 

4  22 

4  05 

3  49- 

3  34 

3  20 

3  07 

2  54 

20 

30 

8  25 

7  53 

7  24 

6  56 

6  30 

6  05 

5  42 

5  20 

4  59 

4  39 

4  20 

30 

40 

II  o6 

10  25 

9  46 

9  10 

835 

8  03 

7  33 

7  04 
845 

636 

6  10 

5  43 

40 

50 

13  4° 

12  50 

12  03 

II  19 

10  38 

958 

9  20 

8  11 

738 

7  07 

50 

1     OO 

i6  o6 

15  09 

14  15 

13  24 

12  35 

II  48 

II  05 

10  23 

9  43 

9  05 

8  29 

1     00 

lO 

i8  26 

17  22 

16  21 

15  22 

14  27 

13  34 

12  45 

11  57 

II  12 

10  28 

9  47 

10 

20 

20  36 

19  25 

18  19 

17  15 

16  14 

15  17 

14  21 

13  28 

12  38 

11  49 

II  02 

20 

30 

22  36 

21  21 

20  09 

19  01 

17  55 

16  53 

15  52 

14  55 

14  00 

13  07 

12  16 

30 

40 

24  28 

23  08 

21  53 

20  40 

19  30 

18  24 

17  20 

16  18 

15  18 

14  20 

13  25 

40 

50 

26  10 

24  47 

23  28 

22  13 

20  59 

19  48 

18  41 

17  35 

16  32 

15  31 

14  31 

50 

2     OO 

27  44 

26  19 

24  57 

23  38 

22  21 

21  08 

19  57 
21  08 

18  48 

17  42 

16  37 

15  35 

2     00 

lO 

29  08 

27  41 

26  17 

24  56 

23  37 

22  22 

19  56 

18  46 

17  39 

16  33 

10 

20 

30  23 

28  56 

27  30 

26  08 

24  48 

23  29 

22  14 

21  00 

19  48 

18  38 

17  30 

?S 

t          30 

31  31 

30  04 

28  37 

27  13 

25  52 

24  31 

23  14 

21  58 

20  45 

19  32 

18  21 

30 

40 

32  32 

31  03 

29  36 

28  12 

26  49 

25  28 

24  09 

22  51 

21  36 

20  22 

19  10 

40 

50 

33  26 

31  57 

30  30 

29  04 

27  41 

26  20 

24  59 

23  40 

22  24 

21  08 

19  55 

50 

3     OO 

34  12 

32  44 

31  5^ 

29  52 

28  28 

27  05 

25  45 

24  25 

23  07 

21  51 

20  36 

3     00 

10 

34  52 

33  25 

30  33 

29  08 

27  46 

26  25 

25  05 

23  46 

22  29 

21  12 

10 

20 

35  27 

34  00 

32  34 

31  09 

29  45 

28  22 

27  01 

25  41 

24  22 

23  04 

21  46 

20  ' 

30 

35  55 

34  29 

33  03 

31  40 

30  16 

2853 

27  33 

26  12 

24  53 

23  34 

22  17 

30 

40 

-^6  18 

34  54 

33  29 

32  06 

30  43 

29  21 

28  00 

26  39 

25  19 

24  01 

22  43 

40 

50 

3636 

35  13 

33  49 

32  27 

31  05 

29  43 

28  23 

27  02 

25  43 

24  24 

23  06 

50 

1 

4     OO 

36  50 

35  28 

3405 

32  44 

31  22 

30  02 

28  42 

27  22 

26  03 

24  44 

23  25 

4     00  1 

10 

37  00 

3538 

34  17 

32  57 

31  36 

30  17 

2857 

27  37 

26  19 

25  01 

23  42 

10 

20 

37  05 

35  45 

34  24 

33  06 

•  31  46 

30  27 

29  09 

27  50 

26  32 

25  14 

23  56 

20 

30 

37  06 

35  47 

34  29 

33  II 

31  52 

30  34 

29  17 

27  59 

26  42 

25  24 

24  07 

30 

40 

37  04 

35  47 

34  29 

33  12 

31  55 

30  38 

29  21 

28  05 

26  48 

25  31 

24  15 

40 

50 

3658 

35  42 

34  26 

33  10 

31  54 

30  39 

29  23 

28  07 

26  52 

25  35 

24  19 

50  : 

"5     OO 

36  48 

35  33 

34  19 

33  05 

31  50 

30  36 

29  21 

28  07 

26  52 

2537 

24  21 

5     00 

lO 

3636 

35  23 

34  10 

32  57 

31  43 

30  30 

29  16 

28  03 

26  49 

25  35 

24  22 

10 

20 

36  20 

35  09 

33  57 

32  45 

31  34 

30  22 

29  10 

27  57 

26  44 

25  31 

24  19 

20 

30 

36  02 

34  53 

33  43 

32  33 

31  22 

30  II 

29  00 

2748 

26  36 

25  25 

24  13 

30 

40 

35  41 

34  32 

33  24 

32  16 

31  06 

29  57 

28  47 

27  37 

26  26 

.25  15 

24  «H 

40 

50 

35  17 

34  II 

33  03 

31  57 

30  48 

29  40 

28  31 

27  23 

26  14 

25  04 

23  55 

50 

6     OO 

34  52 

33  46 

32  40 

31  34 

30  28 

29  21 

28  14 

27  06 

25  59 

24  51 

23  42 

6     00 

lO 

34  23 

33  19 

32  15 

31  10 

30  05 

29  00 

27  54 

26  49 

25  42 

24  35 

23  27 

10 

20 

33  52 

32  50 

31  47 

30  44 

29  40 

28  36 

27  32 

26  28 

25  22 

24  17 

23  II 

20  1 

30 

33  18 

32  17 

31  16 

30  15 

29  13 

28  10 

27  08 

26  04 

25  01 

23  56 

22  52 

30 

40 

32  43 

31  44 

30  44 

29  44 

28  43 

27  43 

26  41 

25  40 

24  37 

23  34 

22  31 

40 

50 

32  05 

31  08 

30  09 

29  II 

28  12 

27  12 

26  12 

25  12 

24  12 

23  II 

22  09 

50 

7     OO 

31  26 

30  30 

29  33 

2836 

2738 

26  40 

25  42 

24  43 

23  44 

22  45 

21  44 

7     00 

lO 

30  44 

29  49 

2854 

27  58 

27  02 

26  06 

25  10 

i4   12 

23  15 

22  17 

21  18 

10 

20 

30  01 

29  07 

28  14 

27  20 

26  25 

25  31 

24  35 

23  39 

22  43 

21  47 

20  50 

20 

30 

29' 15 

28  23 

27  31 

26  39 

25  46 

24  52 

23  59 

23  05 

22  II 

21  16 

20  21 

30 

40 

28  27 

27  37 

26  47 

25  56 

25  04 

24  13 

23  21 

22  29 

21  37 

20  44 

19  50 

40 

50 

27  38 

2649 

26  00 

25  II 

24  22 

23  33 

22  42 

21  51 

21  00 

20  09 

19  i5 

SO 

8     OO 

26  47 

26  00 

25  13 

24  26 

23  37 

22  49 

22  01 

21  12 

20  22 

19  33 

18  42 

8     00 

lO 

25  55 

25  09 

24  24 

23  37 

22  51 

22  06 

21  19 

20  31 

19  44 

18  55 

18  07 

JS 

20 

25  00 

24  16 

23  32 

22  48 

22  04 

21  20 

20  34 

19  49 

19  03 

18  17 

17  30 

20 

30 

24  04 

23  22 

22  40 

21  58 

21  15 

20  32 

19  49 

19  05 

18  21 

17  37 

16  52 

?s 

40 

23  06 

22  27 

21  46 

21  05 

20  24 

19  43 

19  02 

18  19 

17  38 

16  55 

16  11 

40 

50 

22  07 

21  29 

20  51 

20  12 

19  32 

•18  53 

18  13 

17  33 

16  53 

i5  12 

15  31 

50 

9     OO 

21  06 

20  30 

19  53 

19  16 

18  39 

18  02 

17  24 

16  45 

16  07 

15  28 

14  49 

9     00 

lO 

20  05 

19  30 

18  55 

18  19 

17  44 

17  08 

16  32 

15  56 

15  20 

14  43 

14  06 

10 

20 

19  01 

1829 

17  55 

17  22 

16  49 

16  15 

15  41 

15  06 

14  32 

13  57 

13  22 

20 

30 

1757 

17  26 

16  54 

16  22 

15  51 

15  20 

1447 

14  15 

13  42 

13  09 

12  37 

30 

40 

16  51 

16  22 

15  52 

15  22 

14  53 

14  23 

13  53 

13  23 

12  52 

12  21 

II  50 

40 

50 

15  43 

15  17 

14  49 

14  21 

13  53 

13  26 

12  58 

12  29 

12  01 

II  32 

II  04 

50 

lO     00 

14  36 

14  II 

13  45 

13  19 

12  54 

12  28 

12  02 

II  36 

II  09 

10  42 

10  15 

10     00 

lO 

13  26 

13  03 

12  40 

12  16 

II  52 

II  29 

II  05 

10  41 

10  16 

9  52 

9  27 

10 

20 

12  16 

II  55 

II  34 

II  12 

10  50 

10  29 

10  07 

9  45 

9  23 

9  00 

838 

20 

30 

II  06 

10  46 

10  27 

10  07 

948 

9  28 

9  08 

8  48 

8  28 

8  09 

748 

30 

40 

9  53 

936 

9  19 

9  01 

8  44 

8  27 

8  09 

7  51 

7  34 

7  16 

658 

40 

50 

8  41 

8  26 

8  II 

7  55 

7  40 

7  25 

7  09 

6  54 

6  39 

6  22 

6  06 

50  ! 

11     OO 

728 

7  15 

7  01 

6  48 

636 

6  22 

6  09 

5  55 

5  42 

5  29 

5  15 

11     00 

lO 

6  14 

6  03 

5  52 

5  41 

5  31 

5  19 

508. 

4  57 

4  45 

4  34 

4  23 

10 

20 

5  00 

4  51 

4  42 

4  33 

4  24 

4  16 

4  07 

358 

3  49 

3  40 

3  31 

20 

30 

3  45 

338 

3  32 

3  25 

3  19 

3  12 

3  05 

258 

2  52 

2  45 

238 

30 

40 

2  30 

2  26 

2  22 

2  17 

2  12 

2  08 

2  04 

I  59 

I  54 

I  51 

1  46 

40 

50 

I  15 

I  13 

I  11 

1  09 

I  06 

I  04 

I  02 

I  00 

0  57 

0  55 

0  53 

50 

12     00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

I — — — . 1 

In  North  latitude,  when  the  star  is  rising  or  Eas  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


145 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  3 

5°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

L.ATlTi;i>E  35°. 

i 

!  Hour 

Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

b. 

m. 

o      / 

0      / 

0      / 

0      / 

0      / 

0      / 

0      / 

0      / 

0      / 

0     / 

0      / 

0      t 

b.         ui. 

0 

OO 

i8o  oo 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

iSo  00 

180  00 

180  00 

0          00 

lO 

i68  II 

167  08 

165  53 

164  20 

162  24 

159  52 

156  28 

151  39 

144  31 

133  16 

115  II 

'"sg'i? 

10 

20 

15708 

155  18 

153  07 

150  30 

147  18 

143  23 

138  29 

132  15 

124  20 

114  21 

102  13 

8834 

20 

30 

147  24 

145  03 

142  20 

139  16 

135  34 

131  17 

126  16 

120  22 

113  32 

105  42 

97  03 

^751 

30 

40 

139  03 

13629 

133  35 

130  20 

126  41 

122  32 

117  53 

112  42 

106  58 

100  44 

94  04 

^1°^ 

40 

50 

132  03 

129  26 

12633 

123  23 

119  53 

116  04 

III  55 

107  23 

102  32 

97  23 

91  58 

86  24 

50 

1 

OO 

126  II 

123  37 

120  50 

117  50 

114  35 

III  07 

107  24 

103  26 

99  16 

94  52 

90  20 

8541 

1           00 

lO 

121  14 

118  46 

116  07 

113  19 

no  21 

107  II 

103  50 

100  20 

96  41 

92  52 

8857 

84  57 

10 

20 

117  00 

114  40 

112  II 

109  34 

106  50 

103  56 

100  56 

97  48 

94  32 

91  II 

87  44 

84  13 

20 

30 

113  21 

III  08 

108  49 

106  23 

103  51 

loi   12 

98  28 

9538 

92  42 

89  41 

8637 

83  29 

30 

40 

110  09 

108  04 

105  54 

103  37 

loi  17 

9850 

96  20 

^93  45 

91  05 

88  21 

85  35 

8245 

40 

50 

107  20 

105  22 

103  19 

loi  12 

99  01 

96  45 

94  26 

92  03 

8937 

87  07 

8436 

82  01 

50 

2 

OO 

104  47 

102  55 

loi  00 

99  01 

96  59 

94  52 

92  44 

90  31 

88  16 

8558 

8338 

81  16 

2          00 

lO 

102  30 

100  44 

9855 

97  03 

95  07 

93  09 

91  09 

89  05 

8700 

8452 

8243 

8031 

10 

20 

100  23 

9842 

97  00 

95  13 

93  26 

91  35 

89  42 

8746 

8549 

8349 

81  48 

79  45 

20 

30 

98  26 

96  51 

95  13 

93  32 

91  50 

90  05 

88  19 

8630 

84  40 

82  48 

8054 

7859 

30 

40 

9638 

95  06 

93  33 

91  57 

90  21 

88  41 

87  00 

85  18 

83  34 

81  48 

80  01 

78  12 

40 

50 

94  56 

93  28 

91  59 

90  28 

8856 

87  21 

8546 

84  08 

82  30 

80  50 

79  09 

77  26 

50 

3 

OO 

93  18 

91  54 

90  30 

8903 

8734 

86  04 

843* 

83  01 

81  27 

79  52 

78  16 

7638 

3           00 

lO 

91  46 

90  26 

8904 

87  41 

86  16 

84  50 

83  23 

81  55 

80  26 

78  54 

77  23 

75  50 

10 

20 

90  18 

89  01 

87  42 

86  22 

85  01 

8338 

82  15 

80  51 

79  25 

77  58 

76  30 

75  01 

20 

30 

88  52 

8738 

86  22 

8505 

8347 

82  28 

81  08 

79  46 

78  25 

77  02 

7538 

74  12 

30 

40 

8730 

86  18 

8504 

83  50 

8235 

81  19 

80  01 

7844 

77  25 

76  05 

74  44 

73  22 

40 

50 

86  10 

85  00 

8349 

82  37 

81  25 

80  II 

7857 

77  41 

76  25 

7508 

73  50 

72  32 

50 

4 

OO 

84  52 

83  43 

82  35 

81  25 

80  15 

79  04 

77  52 

76  39 

75  26 

74  II 

72  57 

71  41 

4           00 

lO 

83  34 

82  28 

81  22 

80  14 

79  07 

77  57 

76  47 

75  37 

74  27 

73  15 

72  02 

70  48 

10 

SO 

82  18 

81  15 

80  10 

79  05 

7758 

76  51 

75  43 

74  35 

7326 

72  17 

71  06 

6956 

20 

30 

81  05 

80  01 

7859 

77  55 

76  50 

7546 

74  40 

73  33 

72  26 

71  18 

70    ID 

69  02 

30 

40 

79  50 

7849 

7748 

76  46 

75  42 

74  39 

73  35 

72  31 

71  26 

70  20 

69    14 

68  07 

40 

50 

7837 

77  37 

76  37 

75  36 

74  35 

73  33 

72  31 

71   23 

70  25 

69  21 

68  17 

67  II 

50 

5 

OO 

77  23 

76  24 

75  26 

7426 

73  27 

72  27 

71  26 

70  24 

69  23 

68  20 

67  18 

66  15 

5           00 

lO 

76  io 

75  12 

74  14 

73  16 

72  19 

71  20 

70  20 

69  20 

68  20 

67  19 

66  18 

65  17 

10 

20 

74  57 

74  00 

73  04 

72  07 

71  10 

70  12 

68  16 

67  17 

66  17 

65  18 

64  18 

20 

30 

73  43 

72  47 

71  52 

70  56 

70  00 

69  05 

^  08 

67  10 

66  13 

65  15 

64  17 

63  18 

30 

40 

72  28 

71  34 

70  39 

69  45 

6850 

67  55 

67  00 

66  04 

6508 

64  11 

63  14 

62  16 

40 

50 

71  14 

70  20 

69  27 

68  34 

67  40 

6646 

65  52 

64  57 

64  02 

63  06 

62  10 

61  14 

50 

6 

OO 

6958 

69  06 

68  13 

67  21 

66  28 

65  35 

64  42 

63  48 

62  54 

61  59 

61  04 

60  10 

Q           00 

lO 

68  41 

67  50 

6659 

6607 

65  15 

64  23 

63  30 

6238 

61  45 

60  51 

59  58 

59  04 

10 

20 

67  24 

6633 

65  43 

6452 

64  01 

63  10 

62  19 

61  27 

60  35 

59  42 

5850 

57  57 

20 

30 

66  06 

65  16 

64  26 

6336 

62  46 

61  55 

61  05 

60  14 

59  23 

58  31 

57  41 

56  49 

30 

40 

•  64  46 

63  57 

63  07 

62  18 

61  28 

60  39 

59  50 

59  00 

58  10 

57  20 

56  30 

55  39 

40 

50 

63  24 

6236 

61  48 

6059 

60  10 

59  22 

58  34 

57  44 

5656 

5606 

55  16 

54  27 

50 

7 

OO 

62  02 

61  14 

60  26 

5938 

5851 

5803 

57  15 

56  27 

55  39 

54  51 

54  02 

53  13 

7           00 

lO 

6037 

59  49 

59  °2 

58  16 

57  28 

56  41 

55  54 

55  07 

54  20 

53  33 

52  46 

51  58 

10 

ao 

59  II 

58  24 

57  38 

56  52 

56  05 

55  19 

54  32 

53  46 

53  01 

52  12 

51  27 

50  40 

20 

30 

57  42 

56  56 

56  II 

55  25 

54  39 

53  55 

53  09 

52  24 

51  38 

50  52 

50  07 

49  21 

30 

40 

56  II 

55  26 

54  41 

53  57 

53  12 

52  28 

51  43 

5058 

50  14 

49  29 

48  45 

48  00 

40 

50 

54  38 

53  54 

53  10 

52  27 

51  42 

50  59 

50  15 

49  31 

48  47 

48  04 

47  21 

46  37 

50 

M 

oo 

53  03 

52  20 

51  37 

50  53 

50  10 

49  28 

48  45 

48  02 

47  19 

4636 

45  54 

45  II 

8           00 

lO 

51  25 

50  42 

50  01 

49  18 

4836 

47  53 

47  II 

46  29 

45  48 

45  07 

44  25 

43  44 

10 

ao 

49  45 

49  03 

48  21 

47  40 

46  59 

46  17 

45  37 

44  55 

44  15 

43  35 

42  54 

42  14 

20 

30 

48  02 

47  19 

46  39 

45  59 

45  19 

.44  39 

43  59 

43  20 

42  39 

42  00 

41  21 

40  41 

30 

40 

46  16 

45  34 

44  55 

44  15 

43  37 

42  58 

42  19 

41  40 

41  01 

40  23 

39  45 

39  07 

40 

50 

44  25 

43  46 

43  08 

42  29 

41  51 

41  13 

40  36 

3958 

39  21 

3843 

3807 

37  30 

50 

9 

oo 

42  33 

41  55 

41  18 

4040 

40  03 

39  26 

3850 

38  13 

3738 

37  01 

36  26 

35  50 

9           00 

lO 

4937 

40  01 

39  24 

3848 

38  12 

37  37 

37  01 

36  27 

35  52 

35  16 

34  42 

34  08 

10 

20 

3838 

38  03 

37  28 

36  52 

3619 

35  44 

35  II 

34  36 

34  03 

33  30 

32  57 

32  24 

20 

30 

3636 

36  01 

35  28 

34  55 

34  21 

33  48 

33  16 

32  44 

32  12 

31  40 

31  09 

30  37 

30 

40 

34  30 

33  57 

33  25 

32  53 

32  22 

31  50 

31  19 

30  48 

30  18 

29  47 

29  18 

28  48 

40 

50 

32  21 

31  50 

31  20 

3049 

30  19 

29  49 

29  19 

28  50 

28  21 

27  52 

27  25 

26  56 

50 

lO 

OO 

30  08 

29  39 

29  10 

28  41 

28  12 

27  45 

27  18 

26  49 

26  22 

25  55 

25  29 

25  02 

10           00 

10 

27  52 

27  24 

26  55 

26  29 

26  03 

25  37 

^  12 

24  46 

24  20 

23  56 

23  31 

23  06 

IR. 

20 

25  33 

25  06 

24  41 

24  16 

23  52 

23  28 

23  03 

22  40 

22  17 

21  53 

21  31 

21  08 

20* 

30 

23  10 

22  46 

22  23 

22  00 

21  37 

21  15 

20  53 

20  31 

20  10 

19  49 

19  28 

19  08 

30 

40 

20  44 

20  22 

20  01 

19  40 

19  20 

19  00 

18  40 

18  21 

18  02 

17  43 

17  24 

17  05 

40 

'50 

18  15 

17  56 

17  37 

17  19 

17  01 

16  43 

16  25 

16  08 

15  52 

15  34 

15  18 

15  01 

50 

11 

OO 

15  44 

15  28 

15  II 

14  55 

14  39 

14  24 

14  08 

13  54 

13  39 

13  25 

13  10 

12  56 

11           00 

lO 

13  10 

12  56 

12  42 

12  30 

12  16 

12  03 

II  50 

11  38 

11  25 

II  13 

II  01 

10  49 

10 

20 

10  35 

10  23 

10  12 

10  02 

9  51 

9  41 

9  30 

9  20 

9  10 

9  00 

8  50 

8  40 

20 

3t) 

758 

7  49 

7  41 

7  32 

7  24 

7  16 

7  09 

7  00 

653 

646 

6  38 

631 

30 

40 

5  20 

5  13 

508 

5  02 

4  57 

4  51 

4  46 

4  41 

4  36 

4  31 

4  26 

4  21 

40 

SO 

2  40 

2  37 

2  34 

2  31 

2  28 

2  26 

2  23 

2  21 

2  18 

2  16 

2  13 

2  11 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12           00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


41224°— 16- 


-10 


146 


AZIMUTH  OR  TRUE  BEARING. 


liATITUUE  35°. 

DECLINATION— SAME  NAME  AS— LATITUDE. 

L.ATITUDE  35°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

li.    111. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

li.    ill. 

O     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

10 

63  07 

44  36 

33  05 

25  47 

20  53 

17  25 

14  51 

12  53 

II  19 

10  04 

9  00 

8  07 

10 

20 

74  45 

62  14 

51  48 

43  28 

3656 

31  46 

27  40 

24  21 

21  38 

19  23 

17  24 

15  51 

20 

30 

78  32 

69  35 

61  21 

54  02 

47  43 

42  18 

37  52 

33  46 

30  24 

27  32 

25  01 

22  51 

30 

40 

80  07 

73  12 

66  36 

60  27 

54  48 

49  43 

45  10 

41  06 

37  31 

34  20 

31  30 

2859 

40 

30 

80  47 

75  10 

69  42 

64  29 

59  32 

54  54 

50  38 

46  43 

43  08 

39  52 

36  54 

34  12 

50 

1     OO 

80  59 

76  16 

71  37 

67  06 

62  45 

5836 

54  39 

5058 

47  31 

44  19 

41  19 

38  35 

1    00 

lO 

80  55 

76  51 

72  49 

68  51 

65  00 

61  15 

57  38 

54  12 

50  56 

47  52 

44  57 

42  13 

10 

20 

80  40 

77  06 

73  33 

70  01 

6633 

63  10 

59  52 

56  40 

53  37 

50  40 

47  52 

45  13 

20 

30 

80  20 

77  09 

73  57 

70  47 

67  39 

64  33 

61  31 

58  34 

55  42 

52  55 

50  14 

47  40 

30 

40 

79  54 

77  01 

74  08 

71  15 

68  22 

65  32 

62  45 

60  00 

57  19 

54  41 

52  09 

49  42 

40 

50 

79  25 

76  47 

74  08 

71  29 

68  51 

66  14 

6338 

61  04 

58  34 

56  06 

53  40 

51  19 

50 

2     OO 

78  52 

76  27 

74  00 

71  34 

69  08 

66  42 

64  17 

61  53 

59  31 

.57  11 

54  53 

52  39 

2    00 

lO 

78  18 

76  03 

73  48 

71  31 

69  15 

6659 

64  43 

62  28 

60  14 

58  02 

55  51 

53  42 

10 

20 

77  40 

75  35 

73  29 

71  21 

69  14 

67  06 

64  59 

62  51 

60  46 

58  40 

5636 

54  32 

20 

30 

77  03 

75  05 

73  06 

71  07 

69  07 

67  07 

65  06 

63  06 

61  07 

59  07 

57  09 

55  II 

30 

40 

76  23 

74  31 

72  40 

70  47 

68  55 

67  01 

65  07 

63  13 

61  20 

59  36 

57  32 

55  40 

40 

50 

75  41 

73  56 

72  II 

70  24 

6837 

66  49 

65  01 

63  13 

61  25 

59  37 

5748 

56  01 

50 

3     OO 

74  59 

73  20 

71  39 

69  59 

68  16 

6634 

64  51 

63  07 

61  24 

59  40 

57  57 

56  14 

3     00 

lO 

74  16 

72  42 

71  06 

69  29 

67  52 

66  14 

64  36 

62  57 

61  18 

59  39 

58  00 

56  21 

10 

20 

73  32 

72  01 

70  30 

■6858 

67  25 

65  52 

64  17 

62  42 

61  08 

59  32 

57  57 

56  22 

20 

30 

72  46 

71  20 

69  52 

68  23 

6655 

65  25 

63  55 

62  24 

60  53 

59  22 

57  50 

56  18 

30 

40 

72  00 

70  37 

69  12 

67  47 

66  22 

64  56 

63  30 

62  02 

60  35 

5906 

57  37 

56  09 

40 

60 

71  13 

69  52 

68  31 

67  10 

65  48 

64  25 

63  01 

6i  36 

60  12 

58  47 

57  22 

55  56 

50 

4     00 

70  24 

69  07 

67  49 

6630 

65  II 

63  51 

62  30 

61  09 

59  48 

58  25 

57  03 

55  40 

4     00 

lO 

69  34 

68  20 

67  05 

6548 

64-31 

63  14 

61  56 

60  38 

59  19 

58  00 

56  40 

55  20 

10 

20 

68  44 

67  32 

66  18 

65  05 

63  51 

62  36 

61  21 

60  05 

58  49 

57  31 

56  14 

54  56 

20 

30 

67  52 

66  42 

65  32 

64  21 

63  09 

61  56 

60  43 

59  29 

58  16 

57  00 

55  46 

54  30 

30 

40 

6659 

65  54 

64  43 

63  34 

62  25 

61  14 

60  04 

58  52 

57  40 

56  27 

55  15 

54  01 

40 

60 

66  06 

65  00 

63  53 

62  46 

61  39 

60  30 

59  22 

58  12 

57  02 

55  52 

54  41 

53  29 

50 

5     OO 

65  II 

64  06 

63  02 

61  56 

60  51 

59  44 

5838 

57  30 

56  22 

55  13 

54  04 

5.2  55 

5     00 

10 

64  15 

63  12 

62  09 

61  05 

60  01 

58  57 

57  52 

5646 

55  40 

54  33 

53  26 

52  19 

10 

20 

63  17 

62  17 

61  15 

60  12 

59  10 

58  07 

57  04 

56  00 

54  55 

53  51 

52  45 

51  40 

20 

30 

62  19 

61  19 

60  19 

59  18 

58  18 

57  16 

56  15 

55  12 

54  09 

53  07 

52  03 

50  59 

30 

40 

61  18 

60  20 

59  22 

58  22 

57  23 

56  23 

55  23 

54  22 

53  21 

52  19 

51  18 

50  15 

40 

50 

60  17 

59  21 

58  23 

57  25 

56  28 

55  29 

54  30 

53  31 

52  31 

51  31 

50  31 

49  30 

50 

6   .  OO 

59  15 

58  19 

57  23 

5626 

55  30 

54  33 

53  35 

52  37 

51  40 

50  41 

49  42 

48  42 

6     00 

lO 

58  10 

57  It 

56  21 

55  25 

54  30 

53  35 

52  39 

51  42 

50  45 

49  48 

48  51 

47  3 

10 

20 

57  04 

56  II 

55  17 

54  23 

53  30 

52  35 

51  41 

50  45 

49  50 

48  54 

47  58 

47  01 

20 

30 

55  57 

55  05 

54  13 

53  19 

52  27 

51  34 

50  40 

49  46 

48  52 

47  57 

47  02 

46  08 

30 

40 

54  4S 

53  57 

53  06 

52  14 
51  06 

51  23 

50  31 

4938 

48  46 

47  52 

46  59 

46  06 

45  12 

40 

50 

53  37 

5248 

51  57 

50  16 

49  25 

48  34 

47  43 

46  51 

45  59 

45  07 

44  15 

50  1 

7     OO 

52  25 

51  36 

50  47 

'^t  57 

49  08 

48  18 

47  28 

4638 

4548 

44  57 

44  06 

43  15 

7     00 

lO 

51  10 

50  22 

49  34 

48  46 

4758 

•47  09 
45  58 

46  21 

45  31 

44  42 

43  53 

43  03 

42  13 

10 

20 

49  54 

49  07 

48  21 

47  33 

46  46 

45  II 

44  23 

43  36 

42  47 

41  58 

41  10 

20 

30 

4835 

47  49 

47  04 

46  18 

45  32 

•44  4^ 

44  00 

43  13 

42  27 

41  39 

40  52 

40  05 

30 

40 

47  16 

46  31 

45  46 

45  01 

44  16 

43  32 

42  46. 

42  01 

41  16 

40  29 

39  43 

38  57 

40 

60 

45  54 

45  10 

44  26 

43  42 

42  58 

42  14 

41  30 

40  46 

40  02 

39  17 

3834 

37  49 

50 

8     OO 

44  29 

43  46 

43  03 

42  20 

41  38 

40  55 

40  12 

39  29 

3846 

38  04 

37  21 

3638 

8     00 

lO 

43  02 

42  21 

41  40 

40  58 

40  16 

39  35 

38  54 

38  12 

37  30 

3648 

36  07 

35  24 

Id 

20 

41  33 

40  53 

40  13 

39  33 

3853 

38  12 

37  31 

36  51 

36  II 

35  31 

34  51 

34  10 

20 

30 

40  02 

39  23 

38  44 

3805 

37  26 

36  47 

36  08. 

35  29 

34  50 

34  10 

33  32 

32  53 

30 

40 

38  29 

37  50 

37  13 

36  35 

35  58 

35  19 

34  42 

34  04 

33  27 

32  49 

32  II 

31  34 

40 

50 

36  53 

36  16 

35  40 

35  03 

34  27 

33  51 

33  15 

3238 

32  02 

31  25 

30  49 

30  13 

50 

9     OO 

35  15 

34  39 

34  05 

33  29 

32  55 

32  19 

31  44 

31  09 

30  35 

30  00 

29  26 

28  51 

9     00 

lO 

33  34 

33  00 

32  26 

31  52 

31  20 

30  46 

30  13 

29  39 

29  06 

28  32 

28  00 

27  26 

10 

20 

31  52 

31  19 

30  46 

30  14 

29  42 

29  II 

2839 

28-07 

27  35 

27  03 

26  32 

26  00 

20 

30 

30  05 

29  35 

29  04 

2833 

28  03 

27  32 

27  03 

26  32 

26  02 

25  32 

25  02 

24  32 

30 

40 

28  18 

27  49 

27  20 

26  51 

26  23 

25  53 

25  24 

24  56 

24  28 

23  59 

23  31 

23  03 

40  j 

50 

26  28 

26  00 

25  33 

25  06 

24  39 

24  12 

23  45 

23  18 

22  51 

22  24 

21  58 

21  31 

60 

lO     OO 

24  36 

24  10 

23  45 

23  19 

22  54 

22  29 

22  03 

21  38 

21  13 

20  48 

20  34 

19  59 

10     00 

10 

22  42 

22  18 

21  54 

21  30 

21  07 

20  43 

20  19 

1956 

19  33 

19  10 

18  48 

18  25 

10 

20 

20  46 

20  24 

20  01 

19  40 

19  18 

1856 

1835 

18  14 

17  52 

17  31 

17  10 

16  49 

20 

30 

18  47 

18  27 

18  07 

17  47 

17  27 

17  08 

16  48 

16  28 

16  09 

15  50 

15  32 

15  12 

30 

40 

16  46 

16  29 

16  10 

15  53 

15  35 

15  18 

15  00 

14  43 

14  25 

14  08 

13  51 

13  34 

40 

50 

14  45 

14  29 

14  13 

13  57 

13  41 

13  26 

13  II 

12  55 

12  40 

12  25 

12  10 

II  55 

50 

11     OO 

12  41 

12  27 

12  14 

12  00 

II  47 

II  33 

II  19 

II  06 

10  54 

10  41 

10  28 

10  14 

11     00 

lO 

10  37 

10  25 

10  14 

10  02 

9  50 

9  39 

9  29 

9  17 

9  06 

855 

8  44 

8  34 

10 

20 

831 

8  21 

8  12 

8  03 

7  54 

7  45 

736 

7  27 

7  18 

7  09 

7  00 

651 

20 

30 

6  24 

6  17 

6  10 

6  03 

556 

5  49 

5  42 

536 

5  29 

5  22 

5  16 

5  09 

30 

40 

4  16 

4  12 

4  07 

4  02 

358 

3  53 

348 

3  44 

3  40 

3  35 

331 

3  26 

40 

50 

2  08 

2  06 

2  03 

2  01 

I  59 

I  57 

I  54 

I  52 

I  50 

I  48 

I  46 

I  44 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  .star  is  rising  or  Ea.st  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


14T 


AZIMUTH  OR  TRUE  BEARING. 


liATlTUDE  35= 


DECLINATION— SAME  NAME  AS— LATITUDE. 


liATITUDC:  35°. 


Hoar  Angle. 


b. 

o 


lO 


11 


12 


ni. 

oo 

lO 

so 

30 
40 
50 

OO 
lO 
SO 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 

ao 

30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


48° 


O  OO 

7  23 
14  27 
2o  57 
26  44 
31  45 

36  02 

39  39 

42  42 

45  13 

47  18 

49  02 

50  27 

51  35 

52  30 

53  15 
5348 

54  14 

54  30 
54  42 
54  46 
54  46 
54  40 
54  30 

54  16 
53  59 
5338 
53  14 
52  47 
52  17 

Gi  45 
51  10 

50  33 
49  54 
49  12 

48  29 

47  42 
4('  54 

46  04 

45  12 
44  17 

43  ^i 

42  23 


49° 


41 

23 

40 

21 

39 

17 

38 

II 

37  04 

35  54 

34  42 

33 

28 

32 

13 

30 

5t> 

29  37  1 

28 

15 

26 

53 

25 

2« 

24  03  1 

22 

34 

21 

05 

19  34  1 

18 

02 

16  28 

14  53 

13 

16 

II 

40 

10 

02 

8 

23 

6 

42 

5  03  1 

3 

22 

1 

41  ! 

0 

00 

O  00 

6  44 
13  14 

19  15 
24  42 

29  31 

33  41 

37  16 

40  18 

42  52 

45  01 

46  48 

48  18 

49  31 

50  31 

51  20 

51  58 

52  27 

5248 

53  03 
53  II 
53  13 
53  II 
53  04 

52  53 
5238 
52  20 
51  58 
51  33 
51  of> 

50  35 
50  02 
49  26 
48  50 
48  09 

47  27 

46  44 
45  56 
45  07 
44  16 

43  23 
42  28 

41  32 
40  33 
39  32 

38  30 
37  25 
36  19 

35  ii 
34  01 
32  48 
31  34 

30  19 
29  00 

27  41 
26  20 
24  57 
23  33 
22  06 

20  39 

19  10 

17  39 
16  07 

14  35 
13  01 
II  25 

9  49 
8  12 

635 
4  56 
3  17 
1  39 
o  00 


50° 


o  00 
6  II 
12  09 
17  46 
22  53 
27  28 

31  30 

35  01 

38  02 

40  37 

42  48 
44  39 

46  12 

47  29 
4833 

49  26 

50  08 

50  41 

51  05 
51  24 
51  35 
51  41 
51  41 
51  37 

51  29 
51  16 
51  00 
50  41 
50  19 
49  52 

49  25 

48  54 
48  19 
47  43 
47  05 
46  24 

4542 
44  56 
44  09 

43  19 
42  28 

41  35 

40  40 

39  42 

38  43 
37  41 

36  39 
35  33 

34  26 
33  17 

32  07 
30  55 
29  40 
28  24 

27  06 

25  47 
24  26 
23  03 
21  38 
20  13 

18  45 
17  16 
15  46 
14  15 
12  43 
II  10 

9  36 
8  01 
625 
450 
3  13 
I  37 
o  00 


51^: 


O  CO 

5  40 
II  12 
16  25 
21  14 

25  36 

29  29 

32  55 

35  54 

38  28 
4C  40 

42  33 

44  10 

45  30 
4638 

47  34 

48  20 

4855 

49  24 

49  45 

50  00 
50  08 
50  12 
50  10 

50  04 
49-54 
49  41 
49  23 
49  03 
48  40 

48  13 
47  44 
47  12 

46  37 
46  01 
45  21 

4440 

43  57 
43  II 
42  23 
41  33 
40  41 

39  47 
3851 
37  53 

36  53 
35  51 
34  48 

33  42 
32  35 
31  25 

30  15 
29  02 
27  48 

26  31 
25  13 
23  54 
22  32 
21  10 
1945 

18  21 
i6"54 
15  26 
13  58- 
12  26 

10  55 

9  23 

7  50 
6  17 

4  43 
3  09 
I  35 
o  00 


52° 


o  00 

5  15 
10  22 

15  13 

19  45 
23  54 

27  38 

30  57 

33  52 

36  26 
3839 

40  33 

42  II 

43  35 

44  45 

45  44 

46  33 

47  12 

47  43 

48  09 
48  25 
4836 
48  43 
48  44 

48  41 
48  32 

45  21 
48  07 
47  47 
47  26 

47  02 

46  34 
46  04 

45  31 
44  56 
44  19 

43  39 
42  57 
42  12 

41  26 
40  29 
39  47 

3855 

37  59 
37  03 
36  05 
35  04 

34  02 

32  57 

31  52 
30  45 
29  35 
28  23 
27  II 

25  56 
24  40 
23  23 
22  03 

20  41 
19  19 

17  55 
16  31 

15  05 
1338 
12  10 
10  40 

9  II 

7  40 
6  09 
4  37 
3  04 
I  33 
o  00 


53° 


o  00 
5  51 

9  35 
14  09 
18  24 
22  20 

25  55 

29  07 
3:  58 

34  29 

36  42 

38  37 

40  17 

41  42 

42  55 

43  56 

44  47 

45  29 

46  03 
46  30 

46  50 

47  05 
47  13 
47  17 

47  16 
47.10 
47  01 
46  49 

40  32 
46  12 

45  50 
45  24 
44  55 
44  25 
43  51 
43  15 

42  37 

41  56 
41  14 
40  28 

39  42 
385^ 

38  01 

37  08 
36  13 

35  16 
34  17 
33  16 

32  14 
31  09 

30  03 
2855 
27  46 

26  34 

25  20 
24  06 
22  51 
21  33 
20  14 
18  52 

17  31 
16  08 
14  44 

13  19 
11  52 

10  26 

858 
7  29 
6  00 
4  30 
3  00 
I  31 
o  00 


54° 


o  00 
4  30 
854 
13  09 
17  09 
20  53 

24  17 
27  23 
30  09 
32  38 

34  45 

36  44 

38  24 

39  51 

41  05 

42  09 

43  03 

43  48 

44  24 

44  54 

45  16 
45  33 
45  44 
45  50 

45  51 
45  48 
45  40 
45  30 
45  16 
4458 

44  37 
44  13 
43  46 
43  17 
42  45 
42  II 

41  34 

40  55 
40  14 

39  31 
3845 

37  57 

37  08 
36  15 

35  22 


55° 


o  00 
4  11 
817 
12  15 
16  01 
19  32 

22  48 
25  47 
28  28 
30  52 

33  02 

34  56 

36  37 

38  04 

39  20 

40  25 

41  21 

42  08 

42  46 

43  18 

43  43 

44  02 

44  15 
44  23 

44  26 
44  25 
44  20 
44  II 
43  59 
43  43 

43  24 
43  02 
42  37 
42  09 
41  39 
41  07 

40  31 
39  54 
39  14 
38  33 
3748 

37  02 

36  14 

35  24 
34  32 


56° 


33  29 

32  41 

32  30 

31  43 

31  28 

30  44 

30  26 

29  43 

29  21 

28  40 

28  15 

27  35 

27  06 

26  28 

25  57 

25  20 

24  45 

24  II 

23  32 

23  00 

22  18 

21  47 

21  02 

20  32 

19  45 

19  17 

18  26 

18  00 

17  07 

16  42 

15  46 

15  23 

14  24 

14  03 

13  00 

12  41 

II  36 

II  19 

10  II 

9  56 

8  45 

832 

7  19 

708 

5  51 

5  43 

4  24 

4  18 

25b 

2  52 

I  29 

I  26 

0  00 

0  00 

O  00 

3  54 

II  26 
1458 
18  18 

21  24 

24  16 
26  52 

29  12 
31  20 

33  12 

34  52 

36  20 

37  37 

38  43 

39  41 

40  29 

41  10 

41  44 

42  II 
42  31 
42  47 

42  57 

43  02 
43  04 
43  00 
42  53 
42  43 
42  29 

42  II 
41  51 
41  28 
41  01 
40  33 
40  02 

39  29 
3853 
38  14 
37  34 
36  52 
36  07 

35  20 
34  32 
33  40 
3248 
31  54 

30  57 

29  59 
2859 
2758 
26  55 

25  49 
2443 

23  35 

22  26 
21  15 
20  02 
18  49 
17  34 

16  18 
15  00 
13  42 
12  22 
II  03 
9  42 

8  19 
6  57 
5  35 
4  12 
2  48 
I  23 
o  00 


57° 


o  00 
338 
7  12 
10  40 
14  00 
17  09 

20  05 
22  50 
25  21 
27  37 
29  41 
31  32 

33  II 

34  38 

35  56 

37  03 

38  02 

38  51 

39  34 

40  09 

40  3S 

41  01 
41  18 
41  30 

41  37 
41  40 
41  39 
41  33 
41  25 
41  13 

40  57 
40  38 
40  17 
39  53 
39  26 


58°        59°       Hour  Angle. 


3856 
38  25 

37  49 

37  13 

36  34 

35  53 

35  10 

34  25 

33  37 

32  48 

31  57 

31  04 

30  09 

29  12 

28  15 

27  15 

26  13 

25  10 

24  05 

22  59 

21  51 

20  42 

19  31 

18  19 

17,06 

15  52 

14  36 

13  21 

12  03 

10  46 

9  27 

8  07 

^47 

5  25 

4  05 

2  44 

I  21 

0  00 

O  00 

3  22 
6  43 
958 
13  06 

16  05 

18  52 

21  29 

23  54 

26  06 

28  07 

29  55 

31  33 

33  00 

34  18 

35  26 

36  24 

37  15 

37  59 
3836 
39  06 
39  31 

39  49 

40  04 

40  13 
40  17 
40  18 
40  15 
40  07 
39  57 

39  43 
39  26 
39  06 

38  44 
38  19 
37  51 

37  20 
36  47 
36  12 
35  35 
34  55 
34  14 

33  30 

32  44 
31  56 
31  07 

30  16 
29  23 

28  27 

27  31 
26  33 
25  32 

24  30 
23  28 

22  24 
21  17 
20  10 

19  01 

17  51 
16  39 

15  28 
14  14 
13  00 
II  44 
10  29 
9  12 

7  54 
636 
5  17 
3  59 
2  39 
I  19 
o  00 


o  00 
3  10 
6  17 

9  20 
12  16 
15  05 

17  44 

20  13 

22  32 

24  40 

26  37 

28  23 

29  59 

31  25 

32  42 

33  50 

34  50 

35  41 

36  27 

37  04 

37  37 
3803 

38  23 
3838 

38  49 
3856 
3858 
3856 
3850 
3841 

3829 
38  14 
37  56 
37  35 
37  II 
36  45 

36  16 

35  44 
35  10 
34  35 
33  57 
33  17 

32  35 
31  .50 
3'  04 

30  16 
29  27 
28  35 

27  41 
26  46 

25  50 
24  52 

23  52 
22  51 

21  47 
20  43 
19  37 

18  30 
17  23 
16  13 

15  03 
13  51 
12  59 
II  26 

10  II 
857 

7  41 
6  25 
5  08 
3  52 
2  35 
I  17 
o  00 


li. 
O 


10 


11 


m. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


148 


AZIMUTH  OR  TRUE   BEARING. 


liATITUDE  35°. 

DECLINATION— SAME  NAME  AS- 

-LATITUDE. 

liATniTDG  35°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b. 

m. 

o  t 

0  ' 

0  t 

0  1 

0  1 

0  ' 

0  ' 

0  / 

0  ' 

0  / 

0  ' 

li.     ni. 

O 

OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

o'oo 

0  00 

0  00 

0  00 

0     00 

lO 

2  57 

2  46 

2  35 

2  25 

2  15 

2  06 

I  58 

1 50 

I  43 

136 

I  30 

10 

20 

5  53 

5  30 

508 

4  48 

4  30 
■  6  42 

4  12 

356 

3  41 

326 

3  II 

258 

20 

30 

8  44 

8  10 

7  39 

7  10 

6  16 

5  52 

5  29 

5  06 

4  46 

4  36 

30 

40 

II  30 

10  46 

10  06 

9  27 

851 

8  18 

7  46 

7  15 

6  46 

6  19 

5  53 

40 

SO 

14  09 

13  16 

12  27 

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10  56 

ID  15 

9  36 

8  58 

8  24 

7  50 

7  18 

50 

1 

OO 

16  39 

15  39 

14  42 

13  48 

12  57 

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10  39 

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9  19 

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1     00 

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19  02 

17  54 

16  50 

15  49 

14  52 

13  57 

13  05 

12  16 

II  29 

10  44 

10  00 

10 

ao 

21  15 

20  00 

18  51 

17  45 

16  42 

15  41 

14  44 

13  49 

12  57 

12  06 

11  18 

20 

30 

23  17 

21  59 

20  44 

19  32 

18  24 

17  20 

16  17 

15  18 

14  21 

13  25 

12  32 

30 

40 

25  :i 

23  48 

22  29 

21  14 

20  01 

18  52 

17  45 

16  41 

15  40 

14  41 

13  43 

40 

50 

26  54 

25  29 

24  07 

22  47 

21  31 

20  18 

19  08 

18  01 

16  54 

15  51 

14  51 

50 

2 

OO 

28  29 

27  00 

25  36 

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22  55 

21  39 

20  25 

19  14 

18  06 

16  59 

15  55 

2     00 

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29  57 

28  23 

26  57 

2533 

24  II 

22  53 

21  37 

20  23 

19  II 

18  02 

16  55 

10 

ao 

31  10 

29  39 

28  II 

26  45 

25  21 

24  02 

22  43 

21  27 

20  13 

19  01 

17  51 

20 

30 

32  17 

30  46 

29  17 

^z  59 

26  26 

25  04 

23  44 

22  26 

21  10 

19  55 

18  44 

30 

40 

33  17 

31  45 

30  16 

28  48 

27  24 

26  01 

24  39 

23  20 

22  02 

20  46 

19  32 

40 

50 

34  09 

32  38 

31  08 

29  41 

28  16 

26  51 

25  29 

24  09 

22  50 

21  33 

20  17 

50 

3 

OO 

34  55 

33  24 

31  55 

30  28 

29  02 

27  38 

26  15 

24  53 

23  33 

22  15 

20  58 

3     00 

lO 

35  34 

34  04 

32  35 

31  08 

29  43 

28  18 

26  55 

25  33 

24  13 

22  53 

21  36 

10 

20 

36  07 

34  38 

33  10 

31  44 

30  18 

2854 

27  30 

26  oS 

24  48 

23  28 

22  09 

20 

30 

36  35 

35  06 

33  40 

32  14 

30  49 

29  24 

28  01 

26  40 

25  18 

2358 

22  38 

30 

40 

3656 

35  30 

34  04 

32  38 

31  15 

29  51 

28  28 

27  06 

25  45 

24  25 

23  05 

40 

50 

37  13 

35  47 

34  23 

32  58 

31  35 

30  13 

28  50 

27  29 

26  08 

24  47 

23  28 

50 

4 

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37  26 

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34  37 

33  15 

31  53 

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26  27 

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37  33 

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34  49 

33  27 

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30  44 

29  23 

28  03 

26  43 

25  23 

24  04 

10 

20 

37  37 

36  16 

34  55 

33  34 

32  14 

30  54 

29  34 

28  15 

26  56 

25  36 

24  17 

20 

30 

37  37 

36  17 

34  58 

33  38 

32  20 

31  01 

29  41 

28  23 

27  05 

25  46 

24  28 

30 

40 

37  33 

36  15 

34  57 

33  39 

32  22 

31  03 

29  45 

28  28 

27  10 

25  52 

24  35 

40 

50 

37  26 

36  09 

34  53 

33  36 

32  20 

31  03 

2946 

28  29 

27  12 

25  56 

24  39 

50 

6 

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37  16 

36  00 

34  45 

33  30 

32  14 

30  59 

29  44 

28  28 

27  12 

25  57 

24  41 

5     00 

lO 

37  02 

35  47 

34  34 

33  20 

32  06 

30  52 

29  38 

28  24 

2709 

25  54 

24  39 

10 

20 

36  45 

35  33 

34  20 

3308 

31  56 

30  43 

29  30 

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27  04 

25  49 

24  36 

20 

30 

36  25 

35  15 

34  04 

32  54 

31  42 

30  31 

29  19 

12S,  08 

26  55 

25  43 

24  30 

30 

40 

36  03 

34  54 

33  45 

32  36 

31  26 

30  16 

29  06 

27  55 

26  44 

25  33 

24  21 

40 

50 

2538 

34  31 

33  24 

32  16 

31  08 

30  00 

23  50 

27  41 

26  31 

25  21 

24  10 

50 

6 

OO 

35  II 

34  05 

32  59 

31  52 

30  46 

29  39 

28  32 

27  24 

26  16 

25  07 

23  57 

6     00 

lO 

34  41 

33  37 

32  32 

31  27 

30  23 

29  16 

28  10 

27  04 

2558 

24  50 

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10 

20 

34  09 

33  06 

32  03 

31  01 

29  56 

28  52 

27  48 

26  43 

25  38 

24  32 

23  25 

20 

30 

33  35 

32  33 

31  32 

30  31 

29  28 

28  25 

27  22 

26  ig 

25  15 

24  10 

23  06 

30 

40 

32  58 

31  59 

30  59 

29  58 

2858 

27  57 

26  55 

25  53 

24  50 

23  47 

22  44 

40 

50 

32  20 

31  21 

30  23 

29  25 

28  25 

27  26 

26  26 

25  25 

24  24 

23  23 

22  20 

50 

7 

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31  39 

30  42 

29  45 

28  49 

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24  56 

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30  56 

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28  25 

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27  15 

26  18 

25  22 

24  24 

23  26 

22  28 

21  29 

10 

20 

30  12 

29  18 

27  30 

26  37 

25  41 

24  46 

23  50 

22  54 

21  57 

21  00 

20 

30 

29  25 

28  33 

27  41 

26  49 

25  56 

25  04 

24  10 

23  15 

22  21 

21  26 

20  30 

30 

40 

2S  37 

27  47 

26  57 

26  06 

25  15 

24  23 

23  31 

22  39 

21  46 

20  53 

19  59 

40 

50 

27  47 

26  58 

26  10 

25  21 

24  32 

23  41 

22  51 

22  00 

21  09 

20  17 

19  26 

50 

8 

OO 

26  55 

26  08 

25  21 

24  34 

23  46 

22  58 

22  09 

21  21 

20  31 

19  41 

18  50 

8     00 

10 

26  02 

25  17 

24  32 

23  46 

22  59 

22  13 

21  26 

20  39 

19  52 

19  04 

18  14 

10 

20 

25  07 

24  23 

23  39 

22  56 

22  11 

21  27 

20  42 

19  56 

19  10 

.18  24 

17  37 

20 

30 

24  10 

23  28 

22  47 

22  05 

21  21 

20  38 

19  56 

19  12 

18  27 

17  43 

'^  59 

30 

40 

23  12 

22  31 

21  51 

21  II 

20  30 

19  49 

19  08 

18  25 

17  43 

17  01 

16  18 

40 

50 

22  13 

21  34 

20  55 

20  17 

1938 

1858 

18  19 

17  39 

16  59 

16  18 

15  37 

50 

9 

OO 

21  12 

20  34 

1958 

19  21 

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18  06 

17  29 

16  50 

16  12 

15  33 

14  54 

9     00 

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20  09 

19  34 

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17  48 

17  13 

16  37 

16  01 

15  24 

14  48 

14  II 

10 

20 

19  05 

18  32 

18  00 

17  26 

16  53 

16  19 

15  45 

15  II 

14  36 

14  02 

13  26 

20 

30 

18  00 

17  29 

1658 

16  27 

15  55 

15  23 

14  51 

14  20 

13  47 

13  14 

12  41 

30 

40 

16  54 

16  24 

15  55 

15  26 

14  56 

14  27 

13  56 

13  26 

12  56 

12  25 

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40 

50 

15  46 

15  19 

14  51 

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13  57 

13  29 

13  01 

12  33 

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50 

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14  38 

14  12 

13  47 

13  22 

12  56 

12  31 

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II  13 

■  10  46 

10  19 

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13  28 

13  05 

12  41 

12  19 

II  55 

II  31 

II  07 

10  43 

10  19 

9  54 

9  30 

10 

20 

12  18 

II  56 

II  35 

II  15 

10  53 

10  31 

10  10 

9  47 

9  25 

9  03 

8  40 

20 

30 

II  07 

10  47 

10  28 

10  09 

9  50 

9  30 

9  10 

8  50 

8  31 

8  10 

7  50 

30 

40 

9  55 

9  37 

9  20 

9  03 

846 

8  28 

8  II 

7  53 

7  35 

7  18 

40 

50 

8  42 

8  27 

8  12 

7  57 

7  41 

726 

7  II 

6  56 

6  40 

6  24 

6  08 

50 

11 

OO 

728 

7  16 

7  03 

6  49 

637 

6  23 

6  10 

5  57 

5  44 

5  30 

5  16 

11     00 

lO 

6  14 

6  03 

•  5  52 

5  42 

5  31 

5  20 

5  09 

458 

4  47 

4  35 

4  24 

10 

20 

5  01 

4  52 

4  43 

4  34 

4  25 

4  17 

4  08 

3  59 

3  50 

3  41 

3  32 

20 

30 

3  46 

3  39 

3  33 

326 

3  19 

3  12 

306 

2  59 

2  52 

2  46 

2  39 

30 

40 

2  31 

2  27 

2  22 

2  18 

2  13 

2  09 

2  04 

I  59 

I  56 

I  51 

I  46 

40 

50 

I  15 

I  13 

I  II 

I  08 

I  06 

I  04 

I  02 

I  00 

0  58 

0  55 

0  53 

60 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latltudCj  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


149 


AZIMUTH  OR   TRUE  BEARING. 


LATITUDE  36°. 

DECLINATION- 

-SAME 

NAME 

AS— LATITUDE. 



LATITUDE  36°. 

Hour  angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  angle. 

b.    m. 

0  / 

0  ' 

0  / 

0  / 

0  > 

0  / 

0  / 

0  / 

0  / 

0  > 

0  ' 

b.    m. 

O           OO 

180  00 

180  00 

180  00 

180  00 

180  CX) 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

169  07 

168  16 

167  14 

166  00 

164  29 

162  43 

160  02 

157  40 

151  54 

144  48 

133  36 

115  25 

10 

20 

158  52 

157  17 

155  28 

153  iS 

150  43 

147  33 

143  39 

138  46 

132  33 

124  37 

114  35 

102  21 

20 

30 

149  37 

147  35 

145  16 

142  34 

139  27 

135  50 

13'  33 

126  32 

120  37 

113  43 

105  52 

97  06 

30 

40 

141  33 

139  16 

136  42 

133  48 

130  34 

127  04 

122  46 

118  06 

112  53 

107  07 

100  49 

94  04 

40 

50 

13438 

132  15 

129  38 

126  45 

123  35 

120  06 

116  15 

112  04 

107  31 

102  37 

97  25 

91  57 

50 

1     00 

128  44 

126  22 

123  47 

121  00 

118  00 

"4  45 

III  16 

107  30 

103  31 

99  18 

94  53 

90  17 

1     00 

10 

123  40 

121  22 

118  54 

116  15 

113  27 

no  27 

107  16 

103  54 

100  23 

9641 

92  51 

88  53 

10 

20 

119  20 

117  07 

114  45 

112  16 

109  40 

106  54 

103  59 

100  57 

9748 

94  31 

91  06 

8738 

20 

30 

"5  32 

"3  25 

III  12 

loS  52 

106  26 

103  53 

loi  13 

98  28 

95  36 

9238 

8938 

86  30 

30 

40 

112  12 

no  12 

108  06 

105  54 

103  38 

loi  17 

9849 

96  18 

93  41 

90  59 
8931 

88  14 

85  26 

40 

50 

109  14 

107  20 

105  21 

103  18 

lOI  II 

9859 

96  42 

94  22 

91  58 

87  00 

8425 

50 

2     00 

106  35 

104  46 

102  54 

100  57 

98  58 

96  55 

9448 

92  38 

90  M 

88  08 

8549 

83  26 

2     00 

10 

104  10 

102  26 

100  40 

98  50 

96  58 

95  02 

93  03 

91  01 

88  57 

86  50 

8441 

82  30 

10 

20 

loi  57 

100  18 

98  37 

96  53 

95  06 

93  18 

91  27 

8933 

8736 

85  37 

8337 

8i  34 

20 

30 

99  53 

98  20 

96  43 

95  05 

93  24 

91  41 

8956 

88  09 

86  19 

84  28 

8234 

8039 

30 

40 

97  59 

96  29 

94  57 

93  23 

91  47 

90  10 

88  30 

86  49 

85  05 

83  20 

81  33 

79  45 

40 

50 

96  II 

94  45 

93  17 

91  48 

90  17 

8844 

87  09 

8533 

83  54 

82  15 

80  33 

7851 

50 

3     00 

94  29 

93  06 

91  42 

90  16 

8849 

87  21 

8550 

84  19 

8245 

81  II 

12^ 

77  57 

3     00 

10 

92  51 

91  32 

90  12 

88  50 

87  26 

86  00 

8434 

83  07 

81  38 

80  08 

7836 

77  04 

10 

20 

91  19 
89  49 

90  02 

88  45 

87  26 

86  05 

84  44 

8^  21 

81  57 

80  31 

7906 

77  38 

76  10 

20 

30 

8836 

87  21 

86  04 

8447 

83  29 

82  10 

80  49 

79  27 

7804 

76  40 

75  i6 

30 

40 

88  23 

87  12 

85  59 

84  45 

83  31 

82  16 

8059 

79  41 

78  22 

77  03 

75  43 

74  22 

40 

50 

8659 

85  50 

8440 

83  28 

82  17 

81  04 

79  49 

7834 

77  19 

76  03 

74  45 

73  27 

50 

4     00 

8538 

84  30 

83  22 

82  13 
8058 

81  04 

79  53 

7841 

77  30 

76  16 

75  02 

73  47 

72  32 

4     00 

10 

84  17 

83  II 

82  06 

79  51 

7843 

77  33 

76  24 

75  13 

74  02 

72  49 

71  36 

10 

20 

82  58 

81  54 

80  50 

79  45 

78  39 

77  33 

7626 

.  75  19 

74  10 

73  00 

71  50 

70  40 

20 

30 

81  40 

80  38 

79  36 

7832 

77  28 

76  24 

75  19 

74  13 

73  06 

71  59 

7052 

69  42 

30 

40 

80  23 

79  23 

78  22 

77  20 

76  18 

75  15 

74  12 

73  07 

72  02 

7058 

6952 

6845 

40 

50 

79  07 

78  08 

7708 

76  08 

75  07 

7406 

73  04 

72  02 

70  59 

6956 

68  51 

6746 

50 

5     00 

77  50 

76  53 

75  55 

74  56 

73  56 

72  56 

71  56 

70  56 

69  54 

68  52 

fl49 

66  47 

5     00 

10 

76  34 

75  38 

74  41 

73  43 

72  45 

71  47 

70  49 

69  49 

6847 

67  49 

66  48 

65  47 

10 

20 

75  19 

74  23 

73  28 

72  31 

71  35 

7038 

69  40 

68  42 

67  43 

6645 

65  45 

64  45 

20 

30 

74  02 

7308 

72  14 

71  18 

70  23 

68  30 

67  3i 

6637 

65  39 

64  40 

63  42 

30 

40 

72  46 

71  52 

70  59 

70  05 

69  10 

68  16 

67  21 

66  25 

65  29 

64  33 

6336 

62  39 

40 

50 

71  29 

70  37 

69  44 

68  51 

6758 

67  04 

66  10 

65  16 

64  20 

63  26 

62  31 

61  34 

50 

6     00 

70  11 

69  20 

68  28 

67  35 

6643 

65  50 

6458 

64  05 

63  II 

62  17 

61  22 

60  28 

6     00 

10 

6852 

68  02 

67  II 

66  20 

6528 

64  37 

63  45 

62  52 

6159 

61  07 

60  14 

59  20 

10 

20 

67  34 

6643 

65  53 

65  03 

64  13 

63  22 

62  31 

61  40 

60  48 

59  57 

59  04 

58  12 

20 

30 

66  13 

65  23 

64  35 

63  45 

62  56 

62  06 

61  15 

60  25 

59  34 

58  44 

57  52 

57  01 

30 

40 

64  51 

64  03 

63  15 

62  26 

61  37 

60  48 

59  59 

59  09 

58  19 

57  29 

56  39 

55  50 

40 

50 

63  28 

62  40 

61  53 

61  04 

60  17 

59  29 

58  40 

57  52 

57  03 

56  15 

55  26 

54  37 

50 

7  ■   00 

62  03 

61  17 

60  "29 

59  42 

5855 

5808 

57  20 

56  33 

55  45 

5458 

54  09 

53  21 

7     00 

10 

6036 

59  51 

59  05 

58  19 

57  31 

56  45 

5558 

55  12 

54  25 

5338 

52  51 

52  04 

10 

20 

59  09 

58  23 

57  37 

56  52 

56  07 

55  21 

54  35 

53  49 

53  03 

52  17 

51  31 

50  46 

20 

30 

57  39 

56  54 

5609 

55  24 

54  39 

53  55 

53  10 

52  25 

51  40 

5055 

50  10 

49  25 

30 

40 

56  07 

55  23 

54  37 

53  53 

53  11 

5226 

51  43 

50  59 

5015 

49  31 

48  47 

48  02 

40 

50 

54  32 

53  49 

53  05 

52  22 

51  39 

50  57 

50  13 

49  30 

4847 

48  04 

47  21 

4638 

.  SO 

8     00 

52  56 

52  13 

51  31 

50  48 

50  06 

49  24 

48  42 

48  00 

47  17 

46  35 

45  53 

45  II 

8     00 

10 

51  17 

50  36 

49  54 

49  12 

.  48  30 

47  49 

47  08 

46  27 

45  45 

45  05 

44  23 

43  42 

10 

20 

49  36 

4855 

48  14 

47  34 

46  52 

46  12 

45  32 

44  52 

44  II 

43  32 

42  51 

42  II 

20 

30 

47  51 

47  II 

46  31 

45  52 

45  II 

44  33 

43  53 

43  14 

42  34 

41  56 

41  17 

4038 

30 

40 

46  05 

45  25 

44  46 

44  07 

43  29 

42  48 

42  12 

41  34 

40  55 

40  19 

39  40 

39  03 

40 

50 

44  14 

43  36 

42  59 

42  20 

41  42 

41  05 

40  28 

39  51 

39  15 

3838 

38  oi 

37  25 

50 

9     00 

42  21 

41  4i 

41  07 

40  30 

39  53 

39  18 

3842 

3806 

37  30 

36  55 

36  20 

35  45 

9     00 

10 

40  24 

39  49 

39  13 

38  37 

38  02 

37  28 

3652 

36  18 

35  44 

35  10 

34  36 

34  02 

10 

20 

38  25 

37  50 

37  16 

36  42 

36  08 

35  35 

35  01 

34  28 

33  54 

33  23 

32  51 

32  18 

20 

30 

36  23 

35  49 

35  i6 

34  43 

34  II 

3338 

33  07 

32  35 

32  03 

31  33 

31  02 

30  31 

30 

40 

34  16 

33  45 

33  13 

32  42 

32  10 

31  40 

31  10 

30  40 

30  10 

29  40 

29  10 

28  42 

40 

50 

32  07 

31  36 

31  07 

30  37 

30  07 

29  39 

2909 

28  41 

28  13 

27  46 

27  17 

26  50 

50 

10    00 

29  54 

29  25 

28  58 

28  30 

28  02 

27  35 

27  07 

26  41 

26  14 

25  49 

25  22 

24  56 

10     00 

10 

27  38 

27  12 

26  45 

26  19 

25  53 

2528 

25  02 

24  37 

24  12 

23  49 

23  24 

23  00 

10 

20 

25  20 

24  55 

24  30 

24  06 

23  42 

23  18 

22  55 

22  32 

22  09 

21  46 

21  24 

21  02 

20 

30 

22  58 

22  35 

22  13 

21  50 

21  28 

21  07 

20  45 

20  24 

20  03 

19  43 

19  22 

19  01 

30 

40 

20  32 

20  12 

19  52 

19  32 

19  12 

18  52 

1833 

18  14 

17  55 

17  36 

17  18 

17  00 

40 

50 

18  05 

17  47 

17  29 

17  II 

16  54 

16  36 

16  19 

16  02 

15  45 

15  29 

15  12 

14  57 

50 

11     00 

15  35 

15  19 

15  03 

14  48 

14  32 

14  18 

14  02 

13  48 

13  33 

13  19 

13  05 

12  51 

11     00 

10 

13  02 

12  49 

12  36 

12  23 

12  10 

II  57 

II  45 

II  32 

II  20 

II  09 

10  56 

10  45 

10 

20 

10  28 

10  17 

10  06 

9  57 

9  46 

9  36 

9  26 

9  16 

9  06 

857 

8  46 

837 

20 

30 

7  53 

7  44 

736 

7  29 

7  21 

7  13 

7  05 

658 

6  50 

6  43 

636 

6  28 

30 

40 

5  16 

5  II 

5  05 

5  00 

4  54 

4  49 

4  44 

4  39 

4  34 

4  29 

4  24 

4  20 

40 

50 

2  38 

235 

2  33 

2  30 

2  27 

2  24 

2  22 

2  20 

2  17 

2  14 

2  12 

2  10 

50 

12     00 

0  00 

0  00 

0  00 

0  00 

0  CX5 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


150 


AZIMUTH  OR  TRUE  BEARING. 


1.ATITUDE:  36°. 

DECLINATION- 

-SAME  NAME  AS— l,ATITUDE. 

I.ATITUDX:  36°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

h. 

m. 

o  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

It.     ni. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

10 

89  16 

62  48 

44  12 

32  43 

25  28 

20  36 

17  10 

14  37 

12  41 

II  08 

9  53 

851 

10 

20 

88  32 

74  33 

61  54 

51  24 

43  03 

36  31 

31  23 

27  17 

24  00 

21  18 

19  04 

17  10 

20 

30 

87  48 

78  22 

69  17 

61  00 

5338 

47  17 

41  51 

37  05 

33  20 

2958 

27  07 

24  37 

30 

40 

87  03 

79  57 

72  57 

66  17 

60  04 

54  20 

49  16 

44  42 

40  38 

37  02 

33  51 

31  02 

40 

50 

,  86  19 

80  36 

74  57 

69  25 

64  07 

59  08 

54  28 

50  09 

46  14 

42  37 

39  21 

36  24 

50 

1 

OO 

85  35 

80  48 

76  02 

71  21 

66  46 

62  22 

58  09 

54  12 

50  29 

47  01 

43  48 

40  48 

1     00 

10 

84  51 

80  44 

76  37 

72  33 

6832 

64  37 

60  50 

57  12 

53  44 

50  26 

47  20 

44  25 

10 

20 

84  05 

80  30 

76  52 

73  16 

69  42 

66  11 

62  46 

59  25 

56  12 

53  07 

50  10 

47  20 

20 

30 

83  20 

80  08 

7654 

73  41 

70  28 

67  17 

64  09 

61  06 

5806 

55  12 

52  24 

49  42 

30 

40 

82  35 

79  41 

76  46 

73  51 

70  55 

68  01 

65  09 

62  19 

59  32 

56  50 

54  II 

51  36 

40 

50 

81  49 

79  II 

76  31 

73  51 

71  10 

6830 

65  51 

63  13 

60  37 

58  05 

55  35 

53  09 

50 

2 

OO 

81  03 

7838 

76  10 

73  43 

71  15 

68  46 

66  19 

63  52 

61  26 

59  03 

56  40 

54  21 

2     00 

lO 

80  17 

78  02 

75  46 

73  29 

71  II 

6852 

6634 

64  18 

62  01 

59  45 

57  31 

55  19 

10 

20 

79  30 

77  25 

75  17 

73  10 

71  01 

68  51 

6643 

64  33 

62  24 

60  17 

5809 

56  04 

20 

30 

78  43 

76  45 

74  46 

72  46 

70  45 

6843 

66  42 

64  41 

62  39 

60  38 

58  37 

56  37 

30 

40 

77  55 

76  05 

74  12 

72  19 

70  26 

6831 

66  36 

64  40 

62  45 

60  50 

5855 

57  01 

40 

60 

7708 

75  23 

73  36 

71  50 

70  02 

68  14 

66  25 

64  35 

62  45 

60  55 

59  06 

57  16 

50 

3 

OO 

76  19 

74  40 

72  59 

71  18 

69  35 

67  52 

66  08 

64  24 

62  39 

60  55 

59  10 

57  25 

3     00 

lO 

75  30 

73  55 

72  19 

70  43 

69  05 

67  27 

6548 

64  09 

.    62  29 

6048 

5908 

57  27 

10 

20 

74  40 

73  10 

71  38 

70  06 

68  32 

6659 

65  24 

63  49 

62  13 

60  37 

59  01 

57  24 

20 

30 

73  50 

72  23 

70  56 

69  27 

6758 

66  28 

64  57 

63  26 

61  54 

60  22 

58  49 

57  16 

30 

40 

72  59 

71  36 

70  12 

68  47 

67  21 

65  55 

64  28 

63  00 

61  32 

60  03 

5835 

57  04 

40 

50 

72  08 

70  48 

69  27 

68  06 

6643 

65  20 

6356 

62  32 

61  07 

59  41 

58  15 

56  48 

50 

4 

OO 

71  15 

6958 

68  40 

67  22 

66  02 

64  42 

63  21 

62  00 

60  38 

59  16 

57  52 

56  29 

4     00 

lO 

70  22 

6908 

67  52 

66  36 

65  20 

64  02 

62  44 

61  25 

60  06 

58  47 

57  27 

5606 

10 

20 

69  28 

68  16 

67  03 

65  50 

64  35- 

63  21 

62  05 

60  49 

59  33 

58  16 

5658 

55  40 

20 

30 

68  33 

67  23 

66  13 

65  02 

63  50 

62  38 

61  25 

60  II 

58  56 

57  42 

56  27 

55  II 

30 

40 

6738 

66  30 

65  22 

64  13 

63  03 

61  53 

60  41 

59  30 

58  18 

57  06 

55  53 

54  40 

40 

50 

66  41 

65  35 

64  29 

63  22 

62  15 

61  06 

59  57 

58  47 

57  38 

56  27 

55  17 

54  05 

50 

5 

OO 

65  43 

64  39 

63  34 

62  29 

61  24 

60  18 

59  10 

58  03 

56  55 

55  48 

5438 

53  28 

5     00 

lO 

64  45 

63  43 

62  39 

61  36 

60  31 

59  28 

•58  22 

57  17 

56  II 

55  04 

53  57 

52  49 

10 

20 

63  45 

62  45 

61  42 

60  41 

59  39 

5836 

57  33 

56  29 

55  24 

54  20 

53  15 

52  J9 

20 

30 

62  44 

61  44 

60  44 

59  45 

58  44 

57  43 

56  41 

55  39 

54  36 

53  33 

52  29 

51  25 

30 

40 

61  41 

60  43 

59  45 

58  46 

57  47 

56  47 

55  47 

54  47 

.  53  46 

52  45 

51  42 

50  40 

40 

50 

60  38 

59  42 

5845 

57  48 

56  49 

55  51 

54  53 

53  53 

52  54 

51  54 

50  53 

49  53 

50 

6 

OO 

59  33 

5838 

57  42 

56  47 

55  51 

54  54 

53  56 

52  59 

52  00 

51  02 

50  03 

49  03 

6     00 

lO 

5827 

57  32 

5638 

55  43 

54  48 

53  53 

52  57 

52  01 

51  04 

50  08 

49  10 

48  12 

10 

20 

57  20 

56  27 

55  33 

54  40 

53  46 

52  52 

51  5/ 

51  02 

50  07 

49  12 

48  16 

47  19 

20 

30 

56  10 

55  18 

54  26 

53  35 

52  42 

51  49 

50  55 

50  02 

49  07 

48  14 

47  19 

46  24 

30 

40 

54  59 

54  09 

53  18 

52  27 

51  35 

50  43 

49  51 

4859 

48  06 

47  14 

46  20 

45  26 

40 

50 

53  47 

52  57 

52  08 

51  18 

50  28 

49  37 

48  46 

47  55 

47  03 

46  12 

45  20 

44  28 

50 

7 

OO 

52  33 

51  44 

50  55 

50  07 

49  18 

48  29 

47  39 

46  50 

45  58 

45  09 

44  18 

43  26 

7     00 

lO 

51  17 

50  30 

49  42 

4855 

48  06 

47  19 

46  29 

45  41 

44  52 

44  03 

43  14 

42  24 

10 

20 

49  59 

49  13 

48  26 

47  40 

46  52 

46  06 

45  19 

44  32 

43  43 

42  56 

42  08 

41  20 

20 

30 

48  40 

47  54 

47  09 

46  24 

4538 

44  52 

44  05 

43  19 

42  33 

41  47 

41  00 

40  13 

30 

40 

47  18 

46  34 

45  49 

4So6 

44  21 

43  36 

42  52 

42  07 

41  21 

40  36 

39  51 

39  04 

40 

SO 

45  55 

45  II 

44  28 

43  45 

43  02 

42  19 

41  35 

40  51 

40  07 

39  24 

38  39 

37  55 

50 

8 

OO 

44  29 

43  46 

43  05 

42  24 

41  41 

40  58 

4?  ^5 

39  33 

3850 

3808 

37  25 

36  42 

8     00 

lO 

43  02 

42  21 

41  40 

40  59 

40  17 

39  37 

3856 

38  15 

37  33 

36  53 

36  10 

35  29 

10 

20 

41  32 

40  53 

40  12 

39  33 

38  53 

38  13 

37  33 

36  53 

36  13 

35  33 

34  54 

34  12 

20 

30 

40  00 

39  22 

38  43 

38  04 

37  26 

3648 

36  09 

35  30 

34  52 

34  13 

33  34 

32  55 

30 

40 

38  26 

37  49 

37  II 

36  34 

35  57 

35  20 

34  42 

34  05 

33  27 

32  51 

32  13 

31  36 

40 

50 

36  49 

36  14 

35  37 

35  02 

34  25 

33  50 

33  13 

3238 

32  02 

31  27 

30  51 

30  15 

50 

9 

OO 

35  10 

34  36 

34  01 

33  27 

32  52 

32  18 

31  43 

31  08 

30  34 

30  00 

29  26 

28  51 

9     00 

lO 

33  29 

32  56 

32  23 

31  50 

31  17 

30  43 

30  II 

2938 

29  04 

28  33 

28  00 

27  26 

10 

20 

31  46 

31  15 

30  43 

30  II 

29  40 

29  08 

28  37 

28  05 

27  33 

27  03 

26  30 

26  00 

20 

30 

30  01 

29  30 

28  59 

28  31 

27  59 

27  30 

27  00 

26  31 

26  01 

25  32 

25  01 

24  32 

30 

40 

28  13 

27  44 

27  15 

26  47 

26  18 

25  51 

25  22 

24  53 

24  25 

23  58 

23  30 

23  02 

40 

50 

26  23 

25  55 

25  28 

25  02 

24  35 

24  08 

23  42 

23  16 

22  49 

22  23 

21  56 

21  31 

50 

lO 

OO 

24  31 

24  05 

23  40 

23  15 

22  50 

22  25 

22  00 

21  35 

21  II 

20  47 

20  23 

1958 

10     00 

lO 

22  36 

22  13 

21  49 

21  26 

21  03 

20  40 

20  16 

19  53 

19  30 

19  08 

18  46 

1§24 

10 

20 

20  40 

20  19 

1956 

19  36 

19  14 

18  53 

18  32 

18  II 

17  49 

17  29 

17  08 

16  47 

20 

30 

18  42 

18  22 

18  02 

17  43 

17  24 

17  05 

16  45 

16  26 

16  07 

1548 

15  29 

15  10 

30 

40 

16  42 

16  24 

16  06 

15  49 

15  31 

15  14 

14  57 

14  40 

14  23 

14  06 

13  49 

13  32 

40 

50 

14  40 

14  24 

14  09 

13  54 

13  39 

13  23 

13  08 

12  53 

12  38 

12  23 

12  08 

II  53 

50 

11 

OO 

12  37 

12  24 

12  10 

II  57 

II  44 

II  31 

II  18 

II  04 

10  52 

10  39 

10  26 

10  13 

11     00 

lO 

10  33 

10  22 

10  II 

10  00 

9  49 

9  37 

9  27 

9  15 

9  05 

8  54 

8  44 

833 

10 

20 

8  28 

8  19 

8  10 

8  01 

7  52 

7  43 

7  34 

7  25 

7  17 

708 

6  59 

651 

20 

30 

6  22 

6  15 

6  08 

6  02 

5  54 

5  47 

5  41 

5  34 

5  27 

5  22 

5  15 

5?? 

30 

40 

4  15 

4  10 

4  06 

4  01 

356 

3  53 

348 

3  43 

3  39 

3  35 

3  31 

326 

40 

50 

2  08 

2  05 

2  03 

2  00 

I  59 

I  56 

I  54 

1  52 

I  49 

I  47 

I  45 

I  43 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

)  •>     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  eatered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


151 


AZIMUTH  OR  TRUE  BEARING. 


LAflT 

UDE  36=. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

I.ATITLDE:  36°.    | 

1 

Honr  Angle* 

48° 

4»° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

li. 

m. 

o    / 

0    / 

0    r 

0    / 

0    / 

0    / 

0    / 

0    / 

0    / 

0    / 

0    / 

li.          in. 

o  • 

OO 

O  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0           00 

lO 

7  59 

7  14 

6  36 

6  03 

5  33 

508 

4  44 

4  24 

4  04 

3  48 

3  32 

3  18 

10 

20 

15  34 

14  10 

1258 

II  54 

10  58 

10  08 

9  23 

8  41 

8  04 

7  31 

7  00 

6  32 

20 

30 

22   27 

20  34 

18  51 

17  25 

16  05 

14  53 

13  49 

12  50 

II  57 

II  08 

10  23 

9  42 

30 

40 

28  31 

26  16 

24  16 

22  27 

20  49 

19  20 

18  00 

16  46 

1538 

14  35 

1338 

12  45 

40 

50 

33  42 

31  14 

29  01 

26  59 

25  07 

23  25 

21  51 

20  25 

19  06 

17  52 

1643 

15  39 

50 

1 

OO 

38  02 

35  29 

33  08 

3058 

28  57 

27  05 

25  22 

2347 

22  16 

20  53 

19  36 

18  23 

1           00 

lO 

41  40 

39  05 

36  42 

34  27 

32  20 

30  22 

2833 

26  49 

25    12 

23  42 

22  16 

20  57 

10 

20 

44  39 

42  07 

39  43 

37  27 

35  18 

33  16 

31  21 

29  34 

27  52 

26  15 

24  44 

23  18 

SO 

30 

47  07 

44  38 

42  16 

40  00 

37  51 

3548 

33  52 

32  01 

30   15 

28  34 

«6  59 

25  28 

30 

40 

4908 

46  44 

44  24 

42  11 

4004 

38  00 

36  03 

34  10 
36  04 

32   22 

30  40 

29  01 

27  27 

40 

50 

5046 

48  27 

46  12 

44  02 

41  56 

39  54 

37  57 

34  15 

32  31 

30  50 

29  14 

50 

2 

OO 

52  06 

49  51 

47  41 

45  35 

43  31 

41  32 

39  36 

37  44 

35  54 

34  10 

32  29 

30  50 

2           00 

lO 

53  09 

51  00 

4856 

4653 

44  53 

42  55 

41  bi 

39  10  ~ 

37  22 

35  37 

33  55 

32  17 

10 

20 

53  59 

51  56 

49  55 

47  56 

46  00 

44  05 

42  14 

40  24 

3837 

36  53 

35  12 

33  33 

20 

30 

5438 

52  40 

50  43 

48  49 

46  55 

45  04 

43  15 

41  27 

39  42 

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» 

when 


In  Xortli  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned 
;n  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West.     • 


from  North  to  East;  and 


In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  We.st  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


152 


AZIMUTH  OR  TRUE  BEARING. 


liATlTUDE  36°. 

DECLINATION— SAME  NAME  AS— I.ATITUDE. 

LATITUDE  36°. 

Hour  An 

gle. 

60° 

61° 

62° 

63° 

64° 

65° 

,  66° 

67° 

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69° 

70°  i 

Hour  Angle. 

h. 

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10  55 

10  34 

10  II 

9  50 

9  28 

9  06 

8  43 

30 

11  08 

10  49 

10  30 

10  11 

9  51 

9  32 

9  12 

8  53 

8  33 

8  13 

7  53 

40 

9  56 

9  39 

9  21 

9  04 

8  47 

8  30 

8  13 

7  55 

7  37 

I   ^ 

7  01 

50 

8  43 

8  28 

8  13 

758 

7  43 

7  28 

7  13 

657 

6  41 

6  26 

6  10 

11 

OO 

7  29 

7  16 

7  04 

6  50 

6  38 

625 

6  II 

558 

5  45 

5  31 

5  18 

11  00 
10 
20 
30 
40 
50 

12  00 

lO 

6  15 

6  04 

5  54 

5  43 

5  32 

5  21 

5  '2 

4  59 

4  49 

4  36 

4  25 

20 

5  01 

4  52 

4  54 

4  26 

4  r8 

4  08 

4  00 

3  51 

3  42 

3  33 

30 

3  46 

3  39 

3  33 

3  26 

3  20 

3  13 

306 

3  00 

2  53 

2  47 

2  40 

40 

2  30 

2  26 

2  23 

2  18 

2  14 

2  09 

2  04 

2  01 

'  56 

I  51 

I  47 

50 

I  16 

I  13 

I  II 

I  09 

I  07 

I  04 

I  02 

I  00 

0  58 

0  56 

0  54 

12 

1 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  orWest  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  Ea.st  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


153 


AZIMUTH  OR  TRUE  BEARING. 


LATITirOE  37°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

IjATItude:  370. 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

2»° 

30° 

31° 

32° 

33° 

34° 

36° 

Hour  Angle.  ' 

Ii.    111. 

1   °  ' 

0  ' 

0  ' 

0  r 

0  1 

0  ' 

0  / 

0  r 

0  / 

0  r 

0  ' 

0  / 

li.    in. 

O     OO 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

i8o  00 

180  00 

180  00 

0    00 

lO 

169  56 

l6q  12 

168  22 

167  21 

166  08 

164  37 

162  43 

160  14 

156  53 

152  10 

145  06 

133  56 

10 

20 

160  20 

159  00 

157  27 

155  39 

153  30 

150  56 

147  48 

143  56 

■  139  04 

132  52 

124  55 

114  50 

20 

30 

151  34 

149  44 

147  47 

145  29 

142  49 

139  43 

136  05 

131  49 

126  47 

120  52 

113  57 

106  01 

30 

40 

143  46 

141  44 

139  28 

136  55 

134  03 

130  49 

127  09 

123  00 

118  20 

113  05 

107  16 

100  54 

40 

50 

136  59 

134  49 

132  28 

129  51 

126  58 

12348 

120  18 

116  26 

112  15 

107  39 

102  44 

97  28 

50  ! 

1     00 

131  06 

128  54 

126  33 

123  59 

121  12 

118  10 

114  55 

III  24 

107  38 

103  37 

99  21 

94  52 

*    ?S  i 

10 

125  59 

123  50 

121  31 

119  03 

116  24 

113  35 

no  34 

107  22 

104  00 

100  27 

96  41 

92  49 

10 

20 

121  33 

119  27 

117  14 

1'4  52 

112  23 

109  45 

106  59 

104  04 

loi  01 

9748 

94  29 

91  04 

20 

CO 

"7  39 

"5  37 

"3  30 

III  17 

108  57 

106  29 

103  55 

101  15 

98  28 

95  34 

92  35 

8931 

30 

40 

114  II 

112  15 

no  15 

108  08 

105  57 

i?3  40 

loi  17 

9849 

96  16 

93  38 

90  55 

88  07 

40 

50 

III  06 

109  16 

107  21 

105  22 

103  18 

loi  09 

98  57 

96  40 

94  18 

91  53 

89  24 

8651 

50 

2     00 

108  17 

106  34 

104  45 

102  52 

100  54 

9856 

96  51 

94  43 

92  32 

90  17 

fZ59 

85  39 

2    00  ; 

10 

105  48 

104  07 

102  23 

100  36 

9846 

96  53 

94  57 

92  57 

90  55 

8849 

86  41 

8431 

10 

20 

103  28 

loi  53 

100  13 

98  32 

96  47 

95  01 

93  II 

91  18 

89  24 

87  27 

85  26 

83  25 

20 

30 

lOI  20 

99  47 

98  13 

96  37 

9458 

93  16 

91  32 

8946 

8758 

86  07 

84  16 

82  21 

30 

40 

99  19 

97  51 

96  21 

94  48 

93  14 

91  38 

89  59 

88  19 

86  36 

8452 

8307 

81  19 

40 

50 

97  26 

96  02 

94  35 

93  07 

91  37 

90  05 

88  32 

8656 

85  19 

83  40 

82  00 

80  18 

50 

3     00 

95  39 
93  58 

!  94 18 

92  55 

91  30 

90  04 

8836 

8707 

8536 

S404 

82  30 

80  54 

79  18 

3     00 

10 

92  39 

91  20 

8958 

8836 

87  II 

8546 

84  19 

82  52 

81  22 

79  51 

78  18 

10 

20 

92  20 

i  91 04 

8948 

88  30 

87  II 

85  50 

84  27 

83  05 

81  41 

So  14 

7848 

77  19 

20 

30 

^il 

89  33 

88  19 

87  04 

85  48 

84  30 

83  12 

81  52 

80  31 

7908 

77  45 

76  20 

30 

40 

88  06 

8654 

85  41 

84  28 

83  13 

81  57 

80  40 

79  21 

78  03 

76  42 

75  21 

40 

50 

8749 

86  40 

8531 

84  21 

83  09 

81  56 

8043 

79  29 

78  14 

76  57 

75  40 

74  22 

50 

4     00 

86  23 

8517 

8409 

83  02 

81  52 

80  42 

79  32 

78  19 

77  07 

75  53 

74  39 

73  23 

4     00 

10 

85  00 

83  55 

82  50 

81  43 

8036 

7928 

78  20 

77  10 

76  00 

74  49 

73  37 

72  24 

10 

20 

8337 

82  35 

81  31 

80  27 

79  21 

78  15 

77  09 

76  02 

74  54 

73  45 

72  34 

71  24 

20 

30 

82  17 

81  15 

80  13 
7856 

79  II 

78  08 

77  03 

75  58 

74  53 

73  47 

72  40 

71  32 

70  24 

SO 

40 

8057 

79  57 

77  55 

76  54 

75  51 

7448 

73  44 
72  36 

72  40 

71  35 

70  30 

69  24 

40 

50 

7938 

78  40 

77  4« 

76  41 

7540 

74  39 

73  38 

71  34 

70  31 

69  27 

68  22 

50 

5     00 

78  19 

77  22 

76  24 

75  26 

74  27 

73  27 

72  27 

71  27 

70  26 

69  25 

68  23 

67  20 

5     00 

10 

77  00 

76  04 

75  07 

74  II 

73  14 

72  15 

71  17 

70  18 

69  18 

68  18 

67  18 

66  16 

10 

20 

7542 

74  47 

73  52 

72  56 

72  00 

71  03 

70  06 

69  08 

68  II 

6y  II 

66  13 

65  13 

20 

30 

74  23 

73  29 

72  35 

71  40 

70  45 

69  50 

6854 

6758 

67  01 

66  04 

6506 

64  09 

30 

40 

73  05 

72  12 

71  19 

70  25 

69  31 

6836 

67  42 

66  46 

65  51 

64  55 

63  59 

63  02 

40 

50 

71  45 

.  70  54 

70  01 

69  09 

68  16 

67  22 

66  28 

6534 

64  41 

63  46 

62  50 

61  55 

50 

6     00 

70  25 

69  34 

6843 

67  51 

67  00 

66  07 

65  15 

64  22 

63  29 

62  35 

61  41 

60  47 

6     00 

10 

69  05 

68  14 

67  24 

6634 

65  42 

64  51 

63  59 

63  07 

62  16 

61  23 

60  31 

59  38 

10 

20 

67  44 

6656 

6605 

65  15 

64  25 

63  35 

62  44 

61  53 

61  03 

60  10 

59  19 

58  27 

20 

30 

66  21 

65  32 

64  44 

63  55 

6306 

62  16 

61  26 

60  36 

59  46 

5856 

58  06 

57  15 

30 

40 

6458 

64  09 

63  21 

62  33 

61  45 

60  57 

60  08 

59  19 

5830 

57  41 

56  51 

56  01 

40 

50 

6332 

62  45 

61  58 

61  II 

60  23 

59  35 

5848 

58  00 

57  12 

56  23 

55  35 

54  47 

50 

7     00 

62  06 

61  20 

60  34 

59  47 

59  00 

58  13 

57  26 

56  39 

55  53 

55  04 

54  17 

53  30 

7     00 

10 

60  38 

59  52 

59  07 

58  21 

57  35 

5648 

5603 

55  17 

54  30 

53  44 

5258 

52  10 

10 

20 

5908 

58  24 

57  39 

56  53 

56  09 

55  23 

M  38 

53  53 

53  07 

52  22 

51  36 

50  51 

20 

30 

57  37 

56  52 

56  09 

55  25 

54  40 

53  56 

53  II 

52  27 

51  43 

5058 

50  14 

49  29 

30 

40 

56  03 

55  21 

54  37 

53  53 

53  09 

52  26 

51  43 

50  59 

50  16 

49  32 

48  48 

48  05 

40 

50 

5429 

53  46 

53  02 

52  20 

51  38 

50  54 

50  13 

49  30 

48  47 

48  05 

47  22 

4640 

50 

8     00 

52  50 

52  08 

51  26 

50  44 

50  02 

49  21 

48  39 

47  57 

47  16 

46  34 

45  53 

45  12 

8     00 

10 

51  10 

50  29 

4948 

49  07 

48  26 

47  45 

47  05 

46  24 

45  44 

45  02 

44  23 

43  42 

10 

20 

49  27 

48  47 

48  07 

47  27 

46  47 

4607 

45  27 

44  48 

44  09 

43  28 

42  50 

42  II 

20 

30 

47  41 

47  02 

46  23 

45  44 

45  06 

44  26 

43  48 

43  09 

42  31 

41  52 

41  35 

40  37 

30 

40 

45  53 

45  15 

44  37 

43  59 

43  21 

42  43 

42  06 

41  28 

40  52 

40  14 

39  37 

39  00 

40 

50 

44  03 

43  25 

42  48 

42  II 

41  35 

4058 

40  22 

39  45 

39  09 

38  33 

3758 

37  22 

50 

9     00 

42  09 

41  32 

40  56 

40  20 

39  45 

39  09 

37  18 

3834 

37  59 

37  24 

36  50 

36  15 

35  41 

9     00  ; 

10 

40  13 

39  37 

39  02 

3827 

37  53 

36  45 

36  II 

■35  38 

35  04 

34  31 

33  58 

10  i 

20 

38  12 

3738 

37  05 

36  32 

35  58 

35  25 

34  53 

34  20 

33  48 

33  16 

32  44 

32  13 

20 

30 

36  09 

35  37 

35  "4 

34  33 

34  01 

33  29 

3258 

32  27 

31  57 

31  26 

30  56 

30  25 

30 

40 

34  03 

33  32 

33  01 

32  30 

32  01 

31  30 

31  00 

30  31 

30  02 

29  33 

29  04 

28  35 

40 

50 

31  54 

31  24 

30  55 

30  26 

2958 

29  29 

29  01 

2833 

28  06 

27  38 

27  II 

26  44 

50 

10     00 

29  42 

29  14 

2847 

*f  '? 

27  52 

27  25 

26  59 

26  3? 

26  07 

25  41 

25  16 

24  50 

10     00 

10 

27  26 

27  00 

26  34 

26  08 

25  43 

25  18 

24  54 

24  29 

24  06 

23  42 

23  18 

22  54 

10 

20 

25  08 

24  44 

24  20 

23  56 

23  33 

23  09 

22  47 

22  24 

22  02 

21  40 

21  19 

20  56 

20 

30 

22  46 

22  24 

22  02 

21  40 

21  20 

20  58 

20  37 

20  16 

19  56 

19  36 

19  16 

1857 

30 

40 

20  23 

20  02 

19  42 

19  22 

1903 

1844 

18  25 

18  07 

17  49 

17  31 

17  12 

16  55 

40 

50 

17  56 

1738 

17  20 

17  02 

1645 

16  ?9 

16  12 

15  55 

15  39 

15  24 

15  07 

14  51 

50 

11     00 

15  26 

15  II 

14  56 

14  41 

14  26 

14  II 

13  56 

13  43 

13  29 

13  14 

13  00 

12  47 

11     00 

10 

1255 

12  43 

12  29 

12  17 

12  04 

II  52 

II  40 

II  28 

II  16 

II  04 

10  53 

ID"  41 

10 

20 

10  23 

10  12 

10  02 

9  51 

941 

9  31 

9  22 

9  12 

9  02 

853 

8  44 

835 

20 

30 

7  49 

7  40 

7  32 

7  24 

7  18 

7  ID 

7  03 

655 

6  48 

0  41 

633 

627 

30 

40 

5  13 

5  07 

5  02 

4  57 

4  52 

4  46 

4  42 

4  37 

432 

4  27 

4  23 

4  18 

40 

50 

2  37 

2  34 

2  31 

2  29 

2  26 

2  23 

2  22 

2  19 

2  16 

2  14 

2  II 

2  10 

50 

12     00 

0  00 

0  00 

0  00 

1 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

1 

In  >'crth  latltade,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  Bast;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
.supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


154 


AZIMUTH  OR  TRUE  BEARING. 


liATlTlTDE  37°. 

DECLINATION- 

SAME  NAME  AS— IvATITUDE. 

LATITUDE  37°. 

Hour  An 

gle. 

36° 

37° 

38° 

390 

400 

41° 

42° 

43° 

44° 

46° 

46° 

47° 

Hour  Angle. 

li. 

in. 

o  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  t 

0  / 

0  ' 

li.    in. 

O 

OO 

i8o  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

"5  42 

89  15 

62  29 

43  48, 

32  20 

25  08 

20  18 

16  55 

14  23 

12  28 

10  56 

9  42 

10 

20 

102  29 

88  30 

74  21 

61  34 

51  00 

42  38 

36  06 

30  58 

26  54 

2338 

20  58 

18  44 

20 

30 

97  10 

87  44 

78  II 

69  01 

6038 

53  13 

46  50 

41  24 

36  47 

32  52 

29  32 

26  41 

30 

40 

94  05 

,  8659 

79  47 

72  43 

6558 

59  41 

53  57 

48  48 

44  12 

40  08 

36  33 

33  22 

40 

50 

91  56 

86  14 

80  27 

74  43 

69  07 

63  45 

5843 

54  01 

49  40 

45  43 

42  07 

38  51 

60 

1 

OO 

90  14 

85  28 

80  38 

75  49 

71  04 

66  26 

61  59 

57  43 

53  43' 

49  59 

46  30 

43  15 

1    00 

lO 

§848 

84  42 

80  34 

76  24 

72  16 

68  12 

64  14 

60  24 

56  44 

53  14 

49  56 

46  48 

10 

20 

87  33 

83  57 

80  18 

7638 

72  59 

69  23 

65  49 

62  20 

58  58 

55  43 

52  36 

49  37 

20 

30 

86  22 

83  10 

79  56 

76  40 

73  23 

70  09 

6655 

63  45 

60  39 

57  38 

54  42 

51  52 

30 

40 

85  17 

82  24 

r^ 

76  32 

73  33 

70  36 

67  40 

64  46 

61  54 

59  04 

56  20 

53  39 

40 

50 

84  15 

81  37 

76  16 

73  33 

70  50 

68  08 

65-27 

62  47 

60  10 

57  36 

55  04 

60 

2 

OO 

83  16 

80  50 

78  23 

75  55 

73  25 

70  54 

68  24 

65  55 

6326 

6058 

5833 

56  10 

2     00 

lO 

82  18 

80  03 

77  46 

75  29 

73  10 

70  50 

68  30 

66  n 

63  52 

61  33 

59  16 

57  00 

10 

20 

81  21 

79  15 

7708 

75  00 

72  51 

70  40 

68  29 

66  18 

64  08 

61  57 

59  48 

57  39 

20 

30 

80  25 

78  27 

76  29 

74  28 

72  26 

70  24 

68  21 

66  17 

64  15 

62  II 

60  08 

58  05 

30 

40 

79  29 

77  39 

75  46 

73  53 

71  59 

70  03 

68  07 

66  II 

64  15 

62  17 

60  21 

58  25 

40 

50 

78  35 

76  50 

75  04 

73  16 

71  28 

69  39 

67  50 

65^9 

64  08 

62  17 

60  26 

58  35 

60 

3 

OO 

77  40 

76  00 

74  20 

72  38 

70  55 

69  12 

67  28 

65  42 

63  57 

62  II 

60  24 

5838 

3     00 

10 

76  45 

75  10 

73  34 

71  57 

70  20 

68  41 

67  02 

65  22 

63  41 

62  00 

60  19 

58  37 

10 

20 

75  50 

74  19 

72  48 

71  16 

69  43 

68  08 

6633 

64  57 

63  21 

61  44 

60  07 

5829 

20 

30 

74  55 

73  28 

72  00 

70  32 

69  03 

67  33 

66  02 

64  ^0 

62  58 

61  25 

59  51 

58  17 

30 

40 

74  00 

72  36 

71 12 

6948 

68  21 

6655 

65  28 

63  59 

62  31 

61  02 

59  32 

58  01 

40 

50 

73  03 

71  43 

70  23 

69  01 

67  39 

6615 

64  52 

63  27 

62  01 

6036 

59  10 

57  42 

60 

4 

OO 

72  08 

70  50 

69  33 

68  14 

6655 

65  34 

64  13 

62  52 

61  30 

60  07 

58  43 

57  19 

4     00 

lO 

71  10 

6956 

68  42 

67  26 

6609 

64  51 

6333 

62  15 

60  55 

59  35 

58  14 

56  53 

10 

20 

70  14 

69  01 

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6  06 

6  00 

5  53 

5  46 

5  40 

5  34 

5  27 

5  20 

5  14 

508 

30 

40 

4  14 

4  09 

4  04 

4  00 

356 

3  51 

3  46 

3  43 

338 

3  34 

3  30 

3  25 

40 

50 

2  07 

2  05 

2  02 

2  00 

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I  56 

I  54 

I  51 

I  49 

I  47 

I  45 

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60 

12 

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0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


155 


AZIMUTH  OR  TRUE  BEARING. 


1.ATITUDE:  37°. 

DECLINATION— 

SAME  NAME  AS— LATITUDE. 

I^ATITUDE  37°. 

Hour  An 

gle. 

48° 

49° 

50° 

51° 

52° 

63° 

54° 

56° 

66° 

57° 

58° 

59° 

Hour  Angle. 

li. 

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4  17 

4  II 

4  06 

3  59 

3  53 

SO 

40 

3  21 

3  'Z 

3  12 

308 

3  04 

300 

256 

2  52 

248 

2  44 

2  40 

2  35 

40 

50 

I  40 

I  38 

I  36 

I  34 

I  32 

I  30 

I  28 

I  26 

I  24 

I  22 

I  20 

I  18 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East-  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


156 


AZIMUTH  OR  TRUE   BEARING. 


latitude:  37°. 


DECUNATION— SAME  NAME  AS— LATITUDE. 


L.ATITLI>E  37°. 


Hour  Angle. 


60= 


li. 

O 


lO 


11 


12 


III. 

oo 

lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


3   12 

6  20, 

9  25 

12  23 

15    13 

17  53 

20  23 

22  41 

24  49 

26  46 

28  31 

30  06 

31  31 

32  47 

33  54 

34  52 

35  43 

36  26 

37  03 
37  33 

37  58 

38  16 
3831 

3839 
3845 
3845 
38  42 
3836 
38  25 

38  II 
37  55 
37  36 
37  14 
3648 
36  22 

35  51 
35  19 
34  45 
34  09 
33  30 
32  49 

32  07 
31  22 
30  35 

29  48- 
28  58 
28  06 

27  13 
26  18 

25  21 
24  24 

23  24 
22  23 

21  21 
20  18 
19  13 

18  07 
17  00 
15  51 

14  42 

13  32 
12  22 

II  09 

9  57 
8  44 

7  30 
6  16 
5  02 
3  46 
2  31 

1  15 
o  00 


61' 


0  00 

2  58 

5  55 

8  47 

11  34 

14  14 

16  45 

19  14 

21  20 
23  23 

25  16 

26  59 

28  32 

29  55 

31  II 

32  17 

33  16 

34  07 

34  52 

35  29 

36  01 
36  26 

36  47 

37  02 

37  13 
37  19 
37  22 
37  21 
37  16 
37  07 

36  55 
36  41 
36  23 
36  03 
35  39 
35  14 

34  46 
34  15 
33  42 
3308 
32  30 
31  52 

31  II 

30  27 
29  42 
28  57 
28  08 

27  18 

26  26 

25  33 
2438 
23  42 

22  45 
21  46 

20  45 
19  43 
18  40 

17  37 
16  31 

15  25 

14  18 
13  10 

12  01 
10  51 

9  40 
8  29 

7  18 

6  06 
4  53 

3  40 
2  26 

1  13 
o  00 


62° 


0  00 

2  47 
5  31 

8  12 
10  49 

13  20 

15  42 

17  57 

20  04 

22  02 

23  50 

25  30 

27  01 

28  23 

29  37 

30  43 

31  41 

32  33 

33  18 

33  57 

34  29 

34  56 

35  18 
35  35 

35  47 

35  56 

36  00 
36  00 
35  57 
35  49 

35  39 
35  27 
35  10 
34  52 
34  30 
34  06 

33  39 
33  10 
32  40 
32  06 
31  31 
30  53 

30  14 
29  32 
28  49 
28  05 
27  18 

26  30 

25  40 

24  48 
23  55 
23  01 
22  05 

21  07 

20  08 
19  09 

18  08 
17  06 

16  02 

14  58 

13  53 
12  47 
ii  40 
10  32 

9  23 
8  15 

7  05 
5  55 
4  45 

3  34 
2  23 

1  II 
o  00 


63° 

64° 

0  / 

0  ' 

0  CX5 

0  00 

2  35 

2  24 

5  09 

4  48 

7  39 

708 

10  06 

9  27 

12  28 

11  39 

14  42 

13  46 

16  51 

15  47 

18  50 

17  42 

20  44 

19  29 

22  28 

21  09 

24  05 

22  42 

25  33 

24  08 

26  52 

25  26 

28  06 

26  37 

29  II 

27  41 

30  10 

28  39 

31  01 

29  30 

31  46 

30  15 

32  25 

30  55 

32  59 

31  29 

33  27 

31  59 

33  49 

32  22 

34  08 

32  41 

34  22 

32  56 

34  31 

33  07 

34  37 

33  14 

34  3« 

33  17 

34  37 

33  16 

34  31 

33  12 

34  23 

33  c6 

34  12 

32  56 

33  57 

32  42 

33  40 

32  27 

33  19 

32  08 

32  57 

31  48 

32  32 

31  25 

32  05 

30  59 

31  35 

30  31 

31  03 

30  00 

30  30 

29  29 

29  54 

28  54 

29  16 

28  18  1 

28  37 

27  40  1 

27  55 

27  00 

27  II 

26  19  1 

26  27 

25  35  i 

25  41 

24  51 

24  52 

24  04 

24  02 

23  16 

23  II 

22  27 

22  iS 

21  35 

21  24 

20  43 

20  29 

19  50 

19  32 

18  55 

18  34 

17  59 

17  34 

17  01 

16  35 

16  04 

15  33 

15  04 

14  31 

14  04 

13  28 

13  02 

12  23 

12  00 

II  19 

.10  58 

lo  13 

9  55 

9  06 

8  50 

8  00 

7  45 

652 

6  39 

5  44 

5  33 

4  36 

4  27 

3  27 

3  20 

2  18 

2  14 

I  09 

I  07 

0  00 

0  00 

65° 


0  00 

2  15 

4  29 

6  41 

8  48 

10  53 

12  53 

14  47 

16  36 

18  19 

19  54 

21  24 

22  46 

24  02 

25  II 

26  14 

27  II 

28  02 

2847 

29  27 

30  01 

30  31 

30  55 

31  16 

31  31 
31  44 
31  52 
31  56 
31  57 
31  55 

31  48 
31  40 
31  29 
31  15 
30  58 
.30  38 

30  16 

29  53 
29  27 
28  58 
28  27 
27  55 

27  20 
26  44 
26  06 
25  26 
24  44 
24  01 

23  16 
22  30 
21  42 

20  53 
20  03 
19  II 

18  18 

17  24 
16  28 

15  32 
14  34 

13  36 

12  37 

11  37 
10  36 

9  35 
8  32 

7  30 

6  26 

5  22 

4  18 

3  14 
2  09 

1  05 
o  00 


66° 


0  00 

2  05 

4  II 

6  13 

8  13 

10  10 

12  03 

13  50 

15  33 

17  12 

18  42 

20  08 

21  27 

22  41 

23  47 

24  49 

25  44 

26  35 

27  19 

27  59 

28  34 

29  04 
29  29 

29  50 

30  07 
30  20 
30  29 
30  34 
30  36 
30  36 

30  31 
30  24 

30  14 
30  02 
29  46 
29  28 

29  oS 
28  46 
28  21 
27  54 
27  25 
26  54 

26  22 
25  46 
25  10 
24  32 
23  52 
23  II 

22  28 
21  43 
20  57 
20  10 

19  22 
18  32 

17  40 

16  48 
15  55 
15  00 

14  04 
13  09 

12  12 

11  13 
10  14 

9  15 
8  15 

7  14 

6  13 

5  12 
4  10 

3  07 
2  05 

1  03 
o  00 


67° 


0  00 

1  57 

3  54 

5  48 
7  40 

9  30 

11  15 

12  57 

14  34 

16  06 

17  33 

1855 

20  II 

21  21 

22  27 

23  26 

24  21 

25  10 

25  54 

26  33 

27  oS 

27  38 

28  04 

28  25 

2843 
2857 

29  07 
29  13 
29  17 

29  17 

29  14 
29  08 
28  59 
28  48 
28  34 
28  18 

27  59 
27  39 
27  15 
26  50 
26  22 
25  53 

25  22 
24  48 
24  14 
23  38 
22  59 
22  20 

21  38 
20  56 
20  12 
19  26 
1839 
17  51 

17  02 
16  12 

15  21 
14  29 

13  35 
12  41 

II  45 

10  50 
9  52 
855 
7  58 

6  59 

6  00 

5  01 

4  01 

3  01 

2  01 
I  01 
o  00 


69° 


70° 


Hour  Angle. 


0  00 

1  49 
•3  38 

5  24 

7  09 
851 

10  30 

12  o5 

13  37 

15  05 

16  27 

17  45 

18  57 

20  05 

21  08 

22  06 

22  59 

23  47 

24  30 

25  09  I 

25  44 

26  13  I 

26  40  I 

27  01  I 

27  20  1 
27  34  ' 
27  45 
27  53 
27  57 
27  58 

27  56 
27  51 
27  45 
27  34 
27  22 
27  07 

26  50 
26  30 
26  09 

25  45 
25  19 

24  51 

24  22 
23  50 
23  18 
22  43 
22  06 
21  29 

20  49 
20  08 

19  26 

18  42 
17  58 
17  II 

16  24 
15  36 

14  46 
13  55 
13  04 
12  12 

11  19 
10  25 

9  30 

8  36 
7  39 

6  43 

5  47 
4  50 
3  52 

2  54 
I  56 
o  58 
o  00 


0  00 

0  00 

I  42 

I  34 

3  22 

308 

5  02 

4  40 

6  40 

6  II 

8  15 

7  40 

9  47 

9  07 

II  18 

10  31 

12  44 

II  51 

14  06 

13  09 

15  24 

14  23 

1638 

15  32 

17  47 

16  38 

18  52 

17  40 

19  52 

18  38 

20  48 

19  32 

21  40 

20  21 

22  26 

21  06  i 

23  09 

21  48 

23  47 

22  25 

24  20 

22  59 

24  50 

23  28 

25  17 

23  54 

25  39 

24  i6 

25  58 

24  35 

26  13 

24  51 

26  24 

25  02 

26  33 

25  II 

2638 

25  18 

26  40 

25  21 

26  39 

25  21 

26  36 

25  19 

26  30 

25  14 

26  21 

25  06 

26  10 

24  57 

25  56 

24  44 

25  41 

24  30 

25  22 

24  13 

25  02 

23  55 

24  40 

23  34 

24  16 

23  11 

23  50 

22  47 

23  22 

22  21 

22  52 

21  53 

22  20 

21  23 

21  47 

20  51 

21  13 

20  19 

20  37. 

19  45 

20  00 

19  10 

19  20 

18  31 

18  40 

17  53 

1758 

17  13 

17  15 

16  32 

16  31 

15  49 

15  45 

15  06 

14  59 

14  22 

14  12 

13  36 

13  23 

12  50 

12  34 

12  02 

II  44 

II  15 

10  53 

ID  26 

10  01 

936 

9  09 

846 

8  16 

7  55 

7  22 

7  04 

6  28 

6  12 

5  33 

5  '? 

4  39 

4  26 

3  43 

3  33 

2  48 

2  40 

I  51 

I  47 

0  56 

0  53 

0  00 

0  00 

11 


12 


00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the'  tabulated  azimuths  are  reckoned  from  South  to  East,  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  We.st. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


157 


AZIMUTH  OR  TRUE   BEARING. 


1 

LATITUDC:  38°. 

DECL,INATION- 

-SAME  NAME  AS— LATITUDE. 

liATlTUDE  38°. 

1 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

li. 

III. 

o    / 

0    / 

0    / 

0    / 

0    / 

0    ' 

0    / 

0    t 

0    t 

0    / 

0    / 

0    ' 

b.           ni. 

o 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0          00 

10 

170  37 

170  01 

169  iS 

168  28 

167  27 

166  14 

164  46 

162  52 

160  25 

157  06 

152  26 

145  25 

10 

20 

161  38 

160  29 

159  10 

15738 

155  51 

153  43 

151  10 

148  04 

144  13 

139  22 

133  II 

1  125  14 

20 

30 

153  18 

151  46 

150  00 

148  00 

145  43 

143  03 

139  59 

136  22 

132  07 

127  05 

121  09 

114  II 

30 

40 

145  47 

143  59 

141  58 

139  43 

137  10 

134  18 

131  04 

127  24 

123  15 

118  34 

115  17 

107  26 

40 

50 

13908 

137  II 

135  03 

132  41 

130  04 

127  12 

124  01 

120  31 

116  39 

112  25 

107  49 

102  49 

50 

1 

OO 

133  18 

131  17 

129  06 

126  44 

124  10 

121  23 

118  22 

115  06 

III  34 

107  46 

103  43 

99  25 

1          00 

lO 

128  10 

126  09 

124  00 

121  42 

119  13 

116  34 

113  45 

no  43 

107  29 

104  05 

100  29 

96  43 

10 

20 

123  39 

121  41 

"9  35 

117  22 

115  01 

112  30 

109  52 

107  04 

104-  08 

loi  03 

97  50 

94  29 

20 

30 

"9  39 

117  45 

"5  44 

"3  36 

III  23 

109  02 

106  34 

1^3  59 

loi  17 

98  28 

95  34 

92  33 

30 

40 

116  06 

114  16 

112  20 

no  19 

108  12 

106  00 

103  42 

loi  18 

g8  49 

96  14 

93  35 

50  50 

40 

50 

112  55 

III  09 

109  18 

107  24 

105  24 

103  19 

loi   10 

9857 

9638 

94  15 

91  49 

89  18 

50 

2 

OO 

no  02 

108  20 

106  34 

104  45 

102  52 

100  55 

9853 

96  48 

94  39 

92  27 

90  12 

87  52 

2           00 

lO 

107  24 

105  46 

104  05 

102  22 

100  34 

98  43 

96  49 

94  53 

92  52 

90  48 

88  41 

86  32 

10 

20 

104  59 

103  25 

loi  49 

100  10 

98  28 

96  43 

94  56 

93  04 

91  11 

89  16 

87  17 

85  17 

20 

30 

102  44 

loi  15 

99  42 

98  08 

96  30 

94  50 

93  09 

91  25 

8938 

87  48 

8557 

84  04 

30 

40 

100  38 

99  12 

97  43 

96  14 

94  41. 

93  05 

91  29 

89  50 

88  08 

86  25 

84  40 

8254 

40 

50 

9841 

97  18 

95  53 

94  27 

92  58 

91  27 

89  55 

88  20 

8645 

8507 

83  27 

81  45 

50 

3 

OO 

96  49 

95  29 

94  07 

92  45 

91  19 

8953 

88  25 

8654 

85  23 

8350 

82  16 

8039 

3           00 

10 

95  02 

93  45 

92  27 

91  07 

89  45 

88  22 

8657 

85  32 

84  05 

8236 

^i  05 

79  34 

10 

20 

93  21- 

92  07 

90  51 

89  34 

88  16 

8655 

85  35 

84  13 

82  48 

81  23 

79  57 

78  30 

20 

30 

gl   44 

90  32 

•89  19 

88  05 

86  49 

8532 

84  14 

82  55 

81  34 

80  12 

78  49 

77  26 

30 

40 

90  09 

88  59 

87  49 

8637 

85  24 

■84  10 

82  55 

81  39 

80  21 

79  03 

77  43 

76  22 

40 

50 

88  39 

8730 

86  22 

85  12 

84  02 

82  50 

81  37 

8023 

7908 

77  54 

76  37 

75  19 

50 

4 

OO 

87  10 

86  04 

8457 

83  50 

82  41 

81  32 

80  22 

79  II 

77  58 

76  45 

75  31 

74  17 

4           00 

lO 

8542 

8438 

83  34 

82  28 

81  22 

80  15 

78^ 

79  07 

7758 

76  48 

75  37 

74  25 

73  13 

10 

20 

84  18 

83  15 

82  12 

81  08 

80  04 

77  52 

76  45 

75  38 

74  29 

73  20 

72  10 

20 

30 

82  54 

Si  52 

80  51 

79  49 

7846 

77  "3 

76  39 

75  34 

74  28 

73  21 

72  15 

71  c6 

30 

40 

81  31 

80  31 

79  31 

7831 

77  30 

76  28 

75  25 

74  22 

73  19 

72  14 

71  09 

70  03 

40 

50 

80  09 

79  •" 

78  13 

77  14 

76  13 

75  13 

74  12 

73  II 

72  09 

71  06 

70  02 

6859 

50 

5 

OO 

78  47 

77  50 

76  53 

75  56 

74  57 

7358 

7258 

71  59 

70 '59 

6958 

6856 

67  54 

5           00    ' 

lO 

77  27 

76  31 

75  35 

74  39 

73  41 

72  44 

71  45 

70  47 

6948 

6848 

67  49 

6647 

10 

20 

76  06 

75  10 

74  16 

73  21 

72  25 

71  29 

70  32 

69  35 

68  37 

67  39 

66  41 

65  41 

20 

30 

74  44 

73  5t 

72  57 

72  03 

71  08 

70  13 

69  18 

68  23 

67  26 

66  29 

65  32 

64  35 

30 

40 

73  23 

72  31 

71  38 

70  45 

69  51 

68  58 

68  03 

67  09 

66  13 

65  18 

64  22 

6326 

40 

. 

50 

,72  02 

71  II 

70  19 

69  27 

68  34 

67  42 

6648 

6556 

65  01 

64  06 

63  12 

62  17 

50 

6 

OO 

70  40 

69  50 

68  59 

68  07 

67  16 

66  24 

65  32 

6440 

63  47 

62  54 

62  00 

61  07 

6           00 

lO 

69  18 

68  28 

6738 

66  48 

65  57 

6506 

64  14 

63  23 

62  32 

61  40 

60  46 

59  55 

10 

20 

67  54 

67  05 

66  18 

65  27 

64  37 

63  48 

62  58 

62  07 

61  16 

60  25 

59  34 
58  19 

58  43 

20 

30 

66  30 

65  41 

64  53 

64  05 

63  16 

62  27 

61  38 

60  49 

59  59 

59  09 

57  29 

30 

40 

65  04 

64  16 

63  29 

62  42 

61  54 

61  06 

60  17 

58  40 

57  51 

57  02 

56  14 

40 

50 

6338 

62  51 

62  04 

61  18 

60  30 

59  43 

5856 

58  08 

57  21 

56  33 

55  45 

54  57 

50 

7 

OO 

62  10 

61  24 

6038 

59  52 

59  06 

58  20 

57  33 

56  46 

55  59 

5512 

54  26 

53  39 

7           00 

lO 

60  40 

59  55 

59  09 

58  24 

57  39 

5654 

56  08 

55  23 

54  36 

53  51 

53  05 

52  18 

10 

"-> 

20 

5909 

58  24 

57  40 

56  55 

56  II 

55  26 

54  41 

53  57 

53  12 

52  27 

51  42 

50  57 

SO 

30 

57  36 

56  52 

56  08 

55  25 

54  40 

53  57 

53  13 

52  30 

51  46 

51  02 

50  18 

49  34 

30 

40 

56  02 

55  18 

■  "54  35 

53  52 

53  09 

52  27 

51  43 

51  01 

50  18 

49  34 

4851 

48  08 

40 

50 

54  24 

53  41 

53  00 

52  18 

51  36 

50  54 

50  II 

49  29 

48  48 

48  06 

47  24 

46  42 

50 

8 

OO 

52  45 

52  03 

51  22 

50  40 

49  59 

49  19 

48  37 

47  57 

47  16 

46  34 

45  54 

45  13 

8       '    00 

lO 

51  04 

50  23 

49  42 

49  02 

48  22 

47  42 

47  02 

46  22 

45  41 

45  02 

44  22 

43  42 

10 

20 

49  20 

48  40 

48  00 

47  21 

46  42 

46  02 

45  23 

44  45 

44  05 

43  27 

42  48 

42  09 

20 

30 

47  34 

46  55 

46  16 

45  37 

44  59 

44  21 

43  43 

43  06 

42  27 

41  50 

41  12 

40  34 

30 

40 

45  45 

45  07 

44  29 

43  52 

43  14 

42  38 

42  00 

41  24 

40  47 

40  10 

39  34 

3857 

40 

50 

43  53 

43  16 

42  39 

42  03 

41  27 

40  51 

40  15 

39  40 

39  03 

38  29 

37  53 

37  18 

50 

9 

OO 

41  58 

41  22 

40  47 

40  12 

39  37 

39  02 

38  27 

37  53 

37  19 

36  44 

36  10 

35  37 

9           00 

lO 

40  01 

39  26 

3852 

38  18 

37  44 

37  II 

36  37 

36  04 

35  31 

34  59 

34  26 

33  54 

10 

20 

38  01 

37  27 

36  54 

36  22 

35  50 

35  18 

34  45 

34  14 

33  42 

33  10 

32  39 

32  08 

20 

30 

35  58 

35  26 

34  54 

34  23 

33  51 

33  21 

32  50 

32  19 

31  50 

31  20 

30  50 

30  20 

30 

40 

33  5> 

33  21 

32  50 

32  21 

31  52 

31  22 

30  52 

30  24 

29  55 

29  26 

2859 

28  30 

40 

50 

31  42 

31  13 

30  44 

30  16 

29  48 

29  20 

28  52 

28  25 

2758 

27  32 

27  05 

26  39 

50 

10 

OO 

29  30 

29  02 

2835 

28  09 

27  43 

27  17 

2*51 

26  25 

26  00 

25  34 

25  10 

24  45 

10          00 

lO 

27  15 

26  49 

26  24 

25  59 

25  34 

25  10 

24  46 

24  22 

23  58 

23  35 

23  II 

22  48 

10 

20 

24  56 

24  33 

24  10 

23  47 

23  23 

23  02 

22  39 

22  17 

21  55 

21  34 

21  12 

20  51 

20 

30 

22  36 

22  14 

21  52 

21  32 

21  II 

20  50 

20  29 

20  10 

19  50 

19  31 

19  10 

18  51 

30 

40 

20  12 

19  52 

19  34 

19  15 

1856 

1837 

18  18 

18  01 

17  43 

17  24 

17  07 

16  50 

.      40 

50 

17  46 

17  29 

17  12 

16  55 

16  38 

16  22 

16  06 

15  50 

15  34 

15  18 

15  03 

14  47 

50 

11 

OO 

15  18 

15  03 

14  49 

14  34 

14  20 

14  05 

13  51 

13  38 

13  24 

13  10 

12  57 

12  44 

11           00 

10 

12  49 

12  36 

12  23 

12  II 

II  59 

II  46 

II  35 

II  23 

II  12 

11  00 

10  49 

10  38 

10 

20 

10  17 

10  07 

9  57 

9  47 

9  38 

9  27 

9  17 

9  08 

859 

8  50 

8  41 

832 

20 

30 

7  44 

•736 

7  29 

7  21 

7  13 

706 

6  59 

652 

6  45 

6  38 

631 

6  24 

30 

40 

5  10 

5  05 

500 

4  54 

4  50 

4  45 

4  40 

4  35 

4  31 

4  26 

4  21 

4  17 

40 

60 

2  35 

2  33 

2  30 

2  28 

2  25 

2  22 

2  20 

2  18 

2  15 

2  13 

2  10 

2  08 

50 

12 

OO 

0  00 

0  00 

0  00  j 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12          00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  .star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  ana 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


158 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDG  38°. 

DECLINATION- 

SAME  NAME  AS -LATITUDE. 

L.ATITi;»E  38°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

470 

Hour  Angle. 

ll.      lU. 

O   / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  r 

0  r 

h.    ni. 

O     OO 

i8o  oo 

180  00 

0  00 

0  CO 

0  00 

0  00 

0  00 

0  00 

0  00 

0   00 

0   00 

0    00 

10 

134  i8 

115  59 

"^"'i 

62  09 

43  24 

31  57 

24  48 

20  01 

16  39 

14  09 

12  15 

10  44 

10 

ao 

115  o6 

102  37 

88  28 

74  07 

61  13 

50  34 

42  10 

3538 

30  33 

26  31 

23  16 

20  37 

20 

30 

io6  II 

97  15 

87  41 

78  01 

6843 

60  15 

52  47 

46  22 

40  55 

36  19 

32  24 

29  05 

30 

40 

lOI  OI 

94  07 

^f  55 

79  37 

72  27 

^§38 

59  17 

53  30 

48  19 

43  43 

39  37 

36  02 

40 

50 

97  31 

91  55 

86  09 

80  17 

74  28 

68  48 

63  23 

58  17 

53  33 

49  II 

45  12 

41  34 

50 

1     OO 

94  54 

90  12 

85  22 

80  29 

'  75  35 

70  46 

66  10 

61  34 

57  16 

53  14 

49  28 

45  57 

1     00 

lO 

92  47 

88  44 

84  35 

80  23 

76  10 

71  58 

67  52 

63  51 

59  59 

56  16 

52  43 

49  24 

10 

20 

91  00 

87  26 

8348 

80-07 

7624 

72  43 

69  03 

65  27 

6i  56 

58  30 

55  13 

52  04 

20 

30 

89  26 

86  15 

83  01 

79  44 

7626 

73  06 

6948 

6633 

63  20 

60  12 

57  08 

54  10 

30 

40 

88  02 

85  09 

82  14 

79  16 

76  16 

73  16 

70  16 

67  18 

64  21 

61  27 

58  35 

55  49 

40 

50 

8643 

84  06 

81  26 

78  43 

76  00 

73  15 

70  30 

67  46 

65  03 

62  21 

59  42 

57  05 

SO 

2     OO 

85  30 

83  05 

8038 

78  09 

75  39 

73  06 

70  34 

68  02 

65  31 

63  00 

60  31 

58  03 

2     00 

lO 

84  ?o 

82  06 

79  50 

77  32 

75  12 

72  52 

70  30 

68  08 

65  47 

63  26 

61  05 

58  47 

10 

20 

83  13 

81  08 

79  01 

76  52 

74  42 

72  31 

70  19 

68  06 

65  54 

63  41 

61-28 

59  17 

20 

30 

82  08 

80  II 

78  12 

76  II 

74  09 

72  07 

70  02 

67  57 

65  53 

6348 

61  43 

59  39 

30 

40 

81  04 

79  14 

77  22 

75  29 

73  34 

71  39 

69  41 

67  44 

6546 

63.48 

61  49 

59  51 

40 

50 

80  02 

78  18 

76  32 

74  45 

72  57 

71  07 

69  16 

67  25 

65  33 

63  41 

61  49 

5958 

SO 

3     OO 

79  01 

77  22 

75  42 

74  00 

72  17 

70  33 

68  48 

67  03 

65  17 

63  29 

61  42 

59  54 

3     00 

lO 

78  01 

76  26 

74  51 

73  14 

71  36 

6958 

68  17 

6636 

64  56 

63  13 

61  31 

59  48 

10 

20 

77  00 

75  30 

73  59 

72  27 

70  53 

69  18. 

67  43 

66  07 

64  31 

62  53 

61  15 

■  59  37 

20 

30 

76  00 

74  34 

73  07 

71  38 

70  09 

68  39 

67  07 

6536 

64  03 

62  29' 

60  56 

59  21 

30 

40 

75  00 

73  38 

72  14 

7049 

69  23 

6756 

66  29 

65  01 

63  32 

62  02 

60  32 

59  01 

40 

50 

74  00 

72  41 

71  20 

69  59 

6836 

67  13 

6549 

64  24 

62  59 

61  33 

60  06 

58  37 

SO 

4     OO 

73  00 

71  43 

70  26 

69  08 

67  48 

66  28 

65  07 

63  45 

62  23 

61  00 

59  34 

58  II 

4     00 

10 

72  00 

7045 

69  31 

68  15 

6658 

65  41 

64  22 

63  04 

61  45 

60  24 

59  03 

57  42 

10 

20 

70  59 

69  47 

67  22 

66  08 

64  53 

6338 

62  21 

61  04 

59  47 

58  29 

57  10 

20 

30 

.  '69  57 

68  49 

67  38 

66  28 

65  15 

64  04 

62  50 

61  37 

60  23 

59  08 

57  51 

56  35 

30 

40 

6856 

67  49 

66  41 

65  32 

64  23 

63  13 

62  02 

60  51 

59  39 

58  26 

57  12 

55  58 

40 

50 

6753 

66  49 

65  43 

64  36 

63  29 

62  21 

61  12 

60  03 

58  53 

57  42 

56  31 

55  19 

SO 

5     OO 

66  50 

65  47 

64  43 

6^38 

62  32 

61  27 

60  20 

59  13 

58  05 

56  57 

5548 

5438 

5     00 

lO 

65  47 

64  45 

63  42 

62  39 

61  36 

60  32 

59  27 

58  22 

57  16 

56  09 

55  02 

53  55 

10 

20 

64  42 

63  42 

62  41 

61  39 

60  37 

59  35 

58  33 

57  29 

56  25 

55  20 

54  15 

53  09 

20 

30 

03  36 

62  37 

61  38 

6038 

5938 

58  37 

57  36 

56  34 

55  32 

54  28 

53  25 

52  22 

30 

40 

62  29 

61  32 

60-34 

5936 
58  33 

58  37 

57  3^ 

5638 

55  38 

54  37 

53  36 

52  34 

51  33 

40 

50 

61  21 

60  25 

59  29 

57  35 

5638 

5540 

54  41 

53  41 

52  42 

51  42 

50  41 

SO 

6     OO 

60  12 

59  18 

58  23 

57  28 

56  32 

55  35 

54  39 

53  42 

52  44 

51  45 

50  47 

49  49 

6     00 

lO 

59  02 

5809 

57  15 

56  21 

55  27 

54  31 

53  36 

52  40 

51  44 

50  47 

49  51 

48  53 

10 

20 

57  51 

56  59 

56  07 

55  14 

54  21 

53  27 

52  33 

51  38 

50  44 

49  49 

48  53 

4?  57 

20 

30 

5638 

55  47 

•54  56 

54  04 

53  12 

52  20 

51  27 

50  34 

49  41 

48  47 

47  53 

46  58 

30 

40 

55  2/1 

54  34 

53  44 

52  54 

52  02 

51  12 

50  21 

49  29 

48  37 

47  45 

46  52 

45  59 

40 

50 

54  08 

53  19 

52  31 

51  41 

5'  52 

50  02 

49  II 

48  22 

47  31 

46  39 

45  48 

44  57 

SO 

7     00 

52  51 

52  04 

51  16 

50  28 

49  39 

4851 

48  02 

47  13 

46  23 

45  33 

44  43 

43  53 

7     00 

lO 

51  32 

50  46 

49  59 

49  12 

48  25 

47  38 

46  49 

46  02 

45  13 

44  25 

43  37 

42  47 

10 

20 

50  12 

49  26 

48  41 

47  55 

47  09 

46  22 

45  36 

44  50 

44  03 

43  15 

42  28 

41  40 

20  • 

30 

48  49 

48  05 

47  21 

46  36 

45  51 

45  06 

44  20 

43  35 

42  50 

42  04 

41  18 

40  32 

30 

40 

47  25 

46  42 

45  59 

45  16 

44  32 

43  48 

43  03 

42  20 

41  35 

40  51 

40  06 

39  21 

40 

50 

46  00 

45  18 

44  35 

43  52 

43  10 

42  28 

41  45 

41  02 

40  19 

39  36 

3852 

38  09 

SO 

8     OO 

44  31 

43  51 

43  10 

42  29 

41  46 

41  06 

40  24 

39  43 

39  01 

38  19 

37  37 

36  55 

8     00 

lO 

43  02 

42  23 

41  43 

41  03 

40  23 

39  42 

39  02 

38  22 

37  41 

37  00 

36  20 

35  40 

10 

5S 

41  30 

40  51 

40  13 

39  34 

3855 

38  16 

37  37 

36  59 

36  20 

35  40 

35  01 

34  22 

20 

30 

39  57 

39  19 

38  42 

38  05 

37  27 

36  49 

36  12 

35  34 

34  56 

34  18 

33  40 

33  03 

30 

40 

38  21 

37  44 

37  09 

36  33 

35  56 

35  20 

34  43 

34  07 

33  31 

32  54 

32  18 

31  42 

40 

50 

36  43 

36  09 

35  33 

34  59 

34  23 

33  49 

33  14 

32  39 

32  04 

31  29 

30  54 

30  19 

SO 

8     OO 

35  03 

34  30 

33  56 

33  22 

32  49 

32  16 

31  42 

31  08 

30  35 

30  02 

29  28 

2855 

9     00 

lO 

33  21 

32  49 

32  17 

31  45 

31  12 

30  40 

30  08 

29  36 

29  04 

2833 

28  01 

27  29 

10 

20 

31  37 

31  07 

30  36 

30  05 

29  34 

29  04 

28  33 

28  03 

27  32 

27  02 

26  32 

26  02 

20 

30 

29  50 

29  22 

28  52 

28  23 

27  54 

27  25 

2657 

26  28 

25  59 

25  30 

25  02 

24  33 

30 

40 

28  03 

27  35 

27  07 

26  40 

26  13 

25  44 

25  18 

24  51 

24  23 

23  56 

23  28 

23  02 

40 

SO 

26  12 

25  46 

25  20 

24  55 

24  29 

24  03 

23  37 

23  12 

22  46 

22  20 

21  55 

21  29 

SO 

lO     00 

24  20 

23  56 

23  31 

23  08 

22  43 

2f  19 

21  55 

21  31 

21  08 

20  44 

20  21 

1956 

10    00 

lO 

22  25 

22  03 

21  41 

21  19 

20  56 

20  34 

20  12 

19  50 

19  28 

19  05 

18  43 

18  22 

10 

20 

20  30 

20  09 

19  48 

19  28 

19  07 

18  47 

18  26 

18  06 

17  46 

17  26 

17  05 

16  46 

20 

30 

18  32 

18  14 
16  16 

17  54 

17  35 

17  17 

16  59 

16  4c 

16  22 

16  04 

15  45 

15  27 

15  09 

30 

40 

16  32 

15  59 

15  42 

15  26 

15  oS 

14  52 

14  36 

14  19 

14  03 

13  47 

13  31 

40 

SO 

14  33 

14  17 

14  02 

13  47 

13  32 

13  18 

13  03 

12  49 

12  34 

12  20 

12  05 

II  52 

so 

11     OO 

12  30 

12  17 

12  04 

II  52 

u  39 

II  26 

II  13 

II  01 

10  49 

10  36 

10  23 

10  12 

11    00 

lO 

10  27 

10  16 

10  05 

9  55 

9  44 

9  33 

9  23 

9  12 

9  02 

851 

8  41 

831 

10 

20 

833 

8  14 

8  05 

7  57 

7  48 

7  40 

7  31 

7  23 

7  14 

706 

6  58 

6  49 

20 

30 

6  18 

6  12 

6  05 

558 

5  52 

5  45 

5  39 

5  32 

5  26 

5  20 

5  14 

5  07 

30 

40 

4  12 

4  08 

4  03 

3  59 

3  55 

3  51 

3  46 

3  42 

3  38 

3  34 

3  29 

3  25 

40 

SO 

2  07 

2  04 

2  02 

I  59 

I  57 

I  55 

I  54 

I  51 

I  49 

I  47 

I  45 

I  43 

50 

12     00 

1 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latltade,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


159 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  38°. 

DECLINATION— 

SAME  NAME  AS— I^ATITUDE. 

LiATirUDE  38°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

540 

66° 

56° 

67° 

58° 

59° 

Hour  Angle. 

li. 

ni. 

o  / 

0  / 

0  ' 

0  t 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

b.    m. 

0 

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4  18 

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406 

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3  53 

30 

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3  21 

3  17 

3  13 

308 

3  04 

3  00 

256 

252 

2  48 

2  44 

2  40 

236 

40 

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1  38 

I  36 

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I  32 

I  30 

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12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


160 


AZIMUTH  OR  TRUE  BEARING. 


1.ATITUDE  38°. 

DECLINATION— SAME  NAME  AS- 

-LATITUDE. 

latitude:  38°.  j 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b.    in. 

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24  04 

23  II 

22  18 

21  24 

20  29 

40 

50 

28  16 

27  29 

26  40 

25  51 

25  02 

24  12 

23  21 

22  30 

21  39 

20  47 

19  54 

60 

8     OO 

27  22 

26  36 

25  49 

25  02 

24  14 

23  26 

22  38 

21  48 

20  58 

20  09 

19  18 

8     00 

lO 

26  26 

25  42 

24  57 

24  12 

23  25 

22  39 

21  53 

21  05 

20  17 

19  29 

18  40 

10 

ao 

25  29 

24  47 

24  03 

23  19 

22  36 

21  51 

21  06 

20  20 

1935 

18  48 

18  01 

20 

30 

24  30 

23  49 

23  08 

22  26 

21  44 

21  01 

20  18 

19  34 

18  51 

18  05 

17  21 

30 

40 

23  31 

22  51 

22  II 

21  32 

20  51 

20  10 

19  29 

18  47 

18  OS 

17  22 

16  39 

40 

50 

22  29 

21  52 

21  14 

20  36 

19  57 

19  18 

18  38 

17  58 

17  18 

16  38 

15  56 

50 

9     OO 

21  27 

20  51 

20  14 

1938 

19  02 

18  24 

17  46 

17  09 

16  30 

15  52 

15  13 

9     00 

10 

20  23 

1948 
18  45 

19  14 

18  40 

18  OS 

17  29 

16  54 

16  18 

15  41 

15  04 

14  28 

10 

20 

19  17 

18  13 

17  40 

7  °1 

16  34 

16  01 

15  25 

14  52 

14  17 

13  42 

20 

30 

18  II 

17  41 

17  10 

16  40 

16  08 

15  37 

15  05 

14  33 

14  01 

13  28 

12  55 

30 

40 

17  04 

16  35 

16  07 

15  38 

15  08 

14  39 

14  09 

13  39 

13  09 

12  38 

12  07 

40 

50 

15  55 

15  28 

15  02 

14  35 

14  07 

13  40 

13  13 

12  45 

12  16 

II  48 

II  19 

50 

lO     OO 

14  46 

14  21 

13  56 

13  31 

13  06 

12  41 

12  15 

II  49 

II  23 

10  57 

10  29 

10     00 

lO 

13  35 

13  12 

12  50 

12  26 

12  03 

II  40 

II  16 

10  52 

10  29 

10  05 

9  39 

10 

20 

12  24 

12  03 

II  42 

11  21 

II  00 

10  39 

10  17 

9  55 

9  34 

9  12 

-8  49 

20 

30 

II  II 

10  53 

10  34 

10  16 

9  57 

9  37 

9  18 

8  58 

8  39 

8  19 

758 

30 

40 

9  59 

9  42 

9  25 

9  09 

852 

834 

8  17 

7  59 

7  42 

7  24 

706 

40 

50 

8  45 

8  31 

8  16 

8  01 

7  46 

7  32 

7  16 

7  01 

6  46 

6  30 

6  14 

50 

11     OO 

7  31 

7  19 

7  06 

653 

6  40 

627 

6  14 

6  01 

5  49 

5  35 

5  21 

11     00 

lO 

6  17 

6  06 

556 

5  45 

5  34 

5  24 

5  13 

5  02 

4  51 

4  40 

4  29 

10 

20 

5  03 

4  54 

4  45 

4  37 

4  29 

4  19 

4  " 

4  02 

3  53 

3  44 

3  35 

20 

30 

3  46 

3  41 

3  34 

3  27 

3  21 

3  14 

308 

3  01 

2  55 

2  49 

2  43 

30 

40 

2  31 

2  27 

2  23 

2  19 

2  14 

2  10 

2  06 

2  01 

I  56 

I  53 

I  48 

40 

50 

I  16 

I  14 

I  12 

I  09 

I  07 

I  05 

I  03 

I  01 

0  59 

0  56 

0  54 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Ji'orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  .star  is  ri.sing  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  nnriie,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


161 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  39°. 

DECI.INATION- 

-SAME  NAME  AS— LATITUDE. 

IiATITUDE  39°. 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

20° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

li. 

m. 

o  / 

0  / 

0  / 

0  1 

0  1 

0  / 

0  / 

0  / 

0  r 

0  ' 

0  / 

0  / 

b.     m. 

O 

OO 

i8o  oo 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

171  13 

170  42 

170  05 

169  23 

16833 

167  34 

166  22 

164  55 

163  02 

160  37 

157  21 

152  43 

10 

20 

162  46 

161  46 

160  38 

159  20 

157  49 

156  03 

153  57 

151  25 

148  20 

144  31 

139  42 

133  32 

20 

30 

154  50 

153  29 

151  57 

150  13 

148  14 

145  58 

143  19 

140  15 

136  40 

132  24 

127  23 

121  26 

30 

40 

147  37 

146  <X) 

144  II 

142  II 

139  56 

137  25 

134  34 

131  20 

127  41 

123  31 

118  49 

113  31 

40 

50 

141  07 

139  20 

137  24 

135  15 

132  54 

130  19 

127  26 

124  16 

120  45 

116  53 

112  37 

107  59 

50 

1 

OO 

135  20 

133  30 

131  30 

129  19 

126  58 

124  22 

121  35 

118  34 

115  17 

III  44 

107  55 

103  50 

1     00 

lO 

130  12 

12S  20 

126  21 

124  II 

121  52 

119  24 

116  44 

113  54 

no  51 

107  37 

104  II 

100  33 

10 

20 

125  39 

123  48 

121  50 

119  44 

117  31 

115  09 

112  39 

no  00 

107  12 

1Q4  14 

loi  06 

97  51 

20 

30 

121  36 

119  47 

117  53 

115  51 

113  43 

III  29 

109  07 

106  38 

104  03 

loi  20 

98  30 

95  33 

30  . 

40 

117  57 

116  12 

114  22 

112  25 

no  23 

108  16 

106  03 

103  45 

loi  20 

98  50 

96  14 

93  33 

40 

50 

114  41 

112  59 

in  13 

109  21 

107  26 

105  26 

103  20 

loi  10 

9856 

9636 

94  13 

91  45 

SO 

2 

OO 

III  42 

no  03 

108  22 

106  35 

104  46 

102  52 

100  54 

98  52 

9646 

94  36 

92  23 

90  06 

2     00 

lO 

108  58 

107  24 

105  47 

104  05 

102  20 

100  32 

98  41 

96  46 

94  48 

92  47 

90  42 

88  35 

10 

20 

106  2^ 

104  57 

103  23 

lOI  46 

100  07 

98  24 

96  39 

94  50 

92  59 

91  05 

89  08 

87  08 

20 

30 

104  07 

102  41 

lOI  II 

9938 

98  02 

96  25 

^^5! 

93  02 

9:  17 

8929 

8739 

8547 

30 

40 

lOI  56 

100  33 

99  07 

9738 

96  07 

94  34 

91  21 

89  41 

87  59 

86  15 

84  29 

40 

50 

99  54 

9833 

97  10 

95  45 

94  18 

92  49 

91  iS 

89  45 

88  10 

8633 

8455 

83  15 

50 

3 

OO 

9758 

96  40 

95  20 

9358 

92  35 

91  lo' 
89  33 

89  43 

88  13 

8643 

85  II 

83  37 

82  01 

3     00 

lO 

96  08 

94  52 

93  35 

92  16 

90  55 

88  10 

8645 

85  18 

8351 

82  21 

80  49 

10 

20 

94  22 

93  09 

91  55 

90  39 

89  21 

88  02 

86  42 

85  20 

8357 

82  33 

81  07 

79  40 

20 

30 

92  41 

91  30 

90  iS 

8904 

87.49 

8633 

85  16 

8358 

82  38 

81  17 

79  55 

78  31 

30 

40 

91  03 

89  54 

88  45 

8733 

86  21 

85  07 

83  53 

82  37 

81  21 

80  03 

78  44 

77  23 

40  ' 

50 

8927 

88  22 

87  14 

8605 

84  55 

83  44 

82  32 

81  18 

8005 

7849 

77  34 

76  16 

50 

4 

OO 

8756 

8651 

85  45 

8438 

8331 

82  22 

81  13 

80  01 

78  50 

77  38 

76  24 

75  10 

4     00 

lO 

86  25 

85  22 

84  18 

83  13 

82  08 

81  01 

79  54 

7845 

77  36 

76  26 

75  15 

74  03 

10 

20 

84  57 

8356 

8253 

81  50 

8047 

79  41 

7836 

77  30 

76  23 

75  15 

74  06 

72  55 

20 

30 

8330 

82  30- 

81  30 

80  28 

T^ 

78  22 

77  19 

76  15 

75  09 

74  04 

72  57 

71  51 

30 

40 

82  05 

81  06 

80  07 

79  07 

77  04 

76  04 

75  00 

73  57 

72  53 

71  48 

70  42 

40 

50 

80  41 

79  43 

7845 

77  46 

7648 

7548 

74  47 

73  46 

72  45 

71  43 

7039 

69  35 

50 

5 

OO 

79  16 

78  19 

77  23 

76  25 

75  28 

74  30 

73  31 

72  31 

71  31 

70  31 

69  30 

68  28 

5     00 

lO 

77  52 

76  57 

76  02 

75  06 

74  09 

73  12 

72  15 

71  17 

70  18 

69  19 

68  20 

67  19 

10 

20 

76  29 

75  35 

74  41 

73  46 

72  51 

71  55 

70  59 

70  03 

69  05 

68  07 

67  09 

66  10 

20 

30 

75  06 

74  13 

73  20 

72  26 

71 32 

70  37 

69  43 

6847 

6751 

6655 

65  58 

65  00 

30 

40 

73  42 

72  51 

71  .58 

71  06 

70 13 

69  19 

68  25 

67  31 

6637 

65  41 

64  46 

63  51 

40 

50 

72  19 

71  28 

70  37 

69  45 

6854 

68  01 

67  08 

66  15 

65  22 

64  28 

63  34 

62  39 

50 

6 

OO 

70  55 

70  05 

69  15 

68  24 

67  33 

6641 

65  50 

6458 

64  05 

63  13 

62  20 

61  26 

6     00 

lO 

69  30 

68  41 

67  51 

67  01 

66  12 

65  21 

64  31 

63  40 

62  48 

61  58 

61  05 

60  13 

10 

20 

6805 

67  17 

66  28 

65  39 

64  50 

64  00 

63  II 

62  22 

61  31 

60  41 

59  50 

58  59 

20 

30 

6639 

65  51 

65  04 

64  15- 

63  27 

62  38 

61  50 

61  01 

60  12 

59  23 

58  33 

57  43- 

30 

40 

65  II 

.64  25 

6338 

62  50 

62  03 

61  15 

60  28 

59  40 

58  52 

58  03 

57  15 

5626 

40 

50 

63  43 

62  57 

62  II 

61  25 

6038 

59  51 

59  ^ 

58  18 

57  31 

56  43 

5556 

55  08 

50 

7 

OO 

62  13 

61  29 

60  43 

59  57 

59  II 

5825 

57  40 

56  53 

5608 

55  22 

54  35 

53  47 

7     00 

lO 

60  42 

59  57 

59  12 

5827 

57  43 

56  57 

56  14 

55  28 

54  43 

53  58 

53  12 

52  26 

10 

20 

59  09 

5826 

57  41 

56  57 

56  13 

55  30 

54  46 

54  01 

53  16 

52  33 

51  48 

51  03 

20 

30 

57  34 

5652 

56  09 

55  26 

54  43 

53  59 

53  16 

52  32 

51  49 

51  05 

50  23 

49  39 

30 

40 

55  58 

55  16 

54  34 

53  51 

53  09 

52  27 

51  45 

51  02 

50  20 

4855 

48  13 

40 

50 

54  20 

53  39 

52  57 

52  15 

51  34 

50  53 

50  12 

49  30 

48  48 

48  08 

4726 

46  44 

50 

8 

OO 

52  40 

51  59 

51  18 

5038 

49  57 

49  16 

48  37 

47  56 

47  16 

46  35 

45  55 

45  14 

8     00 

lO 

50  57 

50  18 

49  38 

48  58 

48  19 

4738 

46  59 

46  20 

45  40 

45  01 

44  22 

43  42 

10 

20 

49  12 

4834 

47  55 

47  16 

46  36 

45  58 

45  20 

44  41 

44  03 

43  26 

42  47 

42  09 

20 

30 

47  25 

46  47 

46  09 

45  31 

44  54 

44  16 

43  39 

43  01 

42  24 

41  48 

41  10 

40  33 

30 

40 

45  35 

44  58 

44  22 

43  45 

43  08 

42  31. 

41  55 

41  18 

40  43 

40  07 

39  31 

38  55 

40 

60 

43  43 

43  07 

42  31 

41  55 

41  20 

40  44 

40  10 

39  35 

3859 

38  25 

37  50 

37  15 

50 

9 

OO 

41  48 

41  13 

4038 

4003 

39  30 

38  55 

38  21 

37  47 

37  14 

36  40 

3606 

35  33 

9     00 

lO 

39  49 

-39  16 

3842 

3809 

37  37 

37  04 

36  31 

3558 

35  25 

34  54 

34  22 

33  50 

10 

20 

37  49 

37  17 

36  45 

36  13 

35  41 

35  08 

34  38 

34  07 

33  36 

33  05 

32  35 

32  04 

20 

30 

35  45 

35  15 

34  44 

34  13 

33  43 

33  13 

32  43 

32  12 

31  43 

31  14 

3044 

30  15 

30 

40 

33  39 

33  10 

32  40 

32  II 

31  42 

31  13 

30  45 

30  16 

29  49 

29  21 

28  53 

28  25 

40 

50 

31  30 

31  02 

30  34 

30  06 

29  39 

29  II 

2845 

28  18 

27  52 

27  26 

2659 

2633 

50 

1 

lO 

OO 

29  18 

28  51 

28  26 

27  59 

27  34 

27  08 

26  43 

26  17 

25  53 

25  29 

25  04 

24  39 

10     00  1 

lO 

27  03 

26  38 

26  14 

25  49 

25  26 

25  01 

24  38 

24  15 

23  51 

23  28 

23  06 

22  44 

10 

20 

24  46 

24  22 

24  00 

23  37 

23  16 

22  53 

22  31 

22  10 

21  49 

21  27 

21  06 

20  46 

20 

30 

22  26 

22  04 

21  44 

21  23 

21  03 

20  43 

20  23 

20  03 

1944 

19  24 

19  06 

18  47 

30 

40 

20  03 

19  44 

19  25 

'?°Z 

18  48 

1830 

18  13 

17  55 

17  37 

17  ao 

17  03 

16  46 

40 

50 

17  38 

17  21 

17  04 

16  48 

16  32 

16  16 

16  00 

15  44 

15  29 

15  13 

14  59 

14  43 

50 

11 

OO 
lO 

15  II 

14  56 

1442 

14  27 

14  13 

14  00 

13  46 

13  33 

13  19 

13  OS 

12  53 

12  40 

11     00 

• 

12,42 

12  30 

12  18 

12  06 

II  53 

II  42 

11  31 

II  19 

II  09 

10  57 

10  45 

10  34 

10 

20 

10  12 

10  02 

9  51 

9  42 

9  33 

9  23 

9  14 

9  05 

856 

846 

8  38 

8  29 

20 

30 
40 

7  39 

7  32 

7  25 

7  17 

7  10 

7  04 

656 

6  49 

6  43 

636 

6  29 

623 

30 

5  07 

5  03 

4  57 

4  52 

4  47 

4  43 

438 

4  34 

4  28 

4  25 

4  20 

4  16 

40 

50 

2  34 

2  31 

2  29 

2  26 

2  24 

2  22 

2  19 

2  16 

2  15 

2  12 

2  10 

2  07 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00  I 

1 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

when 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East-  and 
:n  the  star  is  setting  or  We.st  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 


In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

\yhen  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


41224°— 16- 


-11 


162 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  :*9°.. 

DECLINATION- 

-SAME  NAME  AS— I^ATITUDE. 

I^ATITUDS:  39°. 

Hour 

Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

46° 

46° 

47° 

Hour  Angle. 

b. 

III. 

O   ' 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  t 

0  / 

li.     in. 

O 

OO 

i8o  OO 

180  00 

180  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

145  45 

134  40 

116  17 

"89' 13 

6i  48 

42  58 

31  33 

24  27 

19  43 

16  23 

13  55 

12  02 

10 

20 

125  33 

115  22 

102  47 

88  26 

73  54 

^  51 

50  08 

41  43 

35  12 

30  07 

26  06 

22  53 

20 

30 

114  26 

106  21 

97  19 

!Z38 

77  50 

68  25 

59  51 

52  20 

45  54 

40  26 

35  50" 

31  56 

30 

40 

107  37 

101  07 

94  09 

86  51 

79  27 

72  11 

65  16 

58  52 

53  02 

47  49 

43  12 

39  07 

40 

50 

102  57 

97  35 

91  55 

86  03- 

80  07 

74  13 

68  29 

63  00 

57  51 

53  04 

48  46 

44  40 

50 

1 

OO 

99  29 

94  55 

90  09 

^5  '6 

80  18 

75  21 

70  28 

65  43 

61  09 

56  49 

52  45 

48  55 

1     00 

lO 

96  45 

92  46 

.  88  41 

84  28 

80  12 

75  56 

71  41 

67  31 

6327 

59  32 

55  46 

52  13 

10 

20 

94  28 

90  58 

87  21 

83  40 

7956 

76  10 

72  25 

68  42 

65  03 

61  30 

58  04 

54  43 

20 

30 

92  31 

89  22 

86  08 

82  52 

79  32 

76  II 

72  49 

69  29 

66  10 

62  54 

59  44 

5638 

30 

40 

90  47 

8756 

85  02 

82  03 

79  03 

76  01 

72  58 

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1 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  t)  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  dliTerent  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


163 


AZIMUTH    OR   TRUE    BEARING, 


liATITUDE  39°. 

DECLINATION— 

SAME 

NAME  AS— LATITUDE. 

^ATITUDE  39°. 

Hour  An 

gle. 

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49° 

50° 

51° 

52° 

53° 

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55° 

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58° 

59° 

Hour  Angle. 

Ii. 

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26  12 

25  34 

24  56 

24  17 

40 

50 

29  48 

29  12 

28  37 

28  02 

27  27 

26  51 

26  15 

25  39 

25  03 

24  27 

23  50 

23  13 

50 

9 

OO 

28  24 

27  50 

27  17 

26  43 

26  09 

25  36 

25  02 

24  27 

23  53 

23  18 

22  43 

22  08 

9   00 

lO 

26  59 

26  27 

25  54 

25  23 

24  51 

24  19 

23  46 

23  14 

22  41 

22  08 

21  35 

21  01 

10 

ao 

25  33 

25  03 

24  32 

24  02 

23  31 

23  01 

22  30 

21  59 

21  29 

20  57 

20  25 

19  54 

ao 

30 

24  05 

23  36 

23  07 

22  39 

22  II 

21  42 

21  12 

20  43 

20  14 

19  45 

19  15 

18  46 

30 

40 

22  36 

22  09 

21  41 

21  15 

20  48 

20  21 

19  54 

19  26 

18  59 

18  31 

18  04 

17  36 

40 

50 

21  05 

20  40 

20  14 

1949 

19  24 

1858 

18  33 

18  08 

17  42 

17  16 

16  51 

16  24 

.  50 

lO 

OO 

19  33 

19  09 

18  46 

18  23 

17  59 

17  35 

17  12 

16  49 

16  25 

16  01 

15  37 

15  13 

10   00 

lO 

i8  00 

17  38 

17  17 

16  55 

16  33 

16  12 

15  50 

15  28 

15  06 

14  45 

14  22 

14  00 

10 

20 

16  26 

16  06 

15  47 

15  26 

15  07 

14  48 

14  28 

14  08 

13  47 

13  27 

13  06 

12  46 

ao 

30 

14  50 

14  32 

14  14 

13  57 

13  39 

13  21 

13  03 

12  46 

12  27 

12  09 

II  51 

II  32 

30 

40 

13  14 

12  58 

12  42 

12  26 

12  10 

II  54 

II  38 

n  22 

II  05 

10  49 

10  33 

10  17 

40 

50. 

II  37 

11   22 

II  09 

10  55 

10  41 

10  26 

10  13 

9  59 

9  44 

9  30 

9  15 

9  01 

50 

11 

OO 

9  59 

946 

9  34 

9  22 

9  II 

859 

8  46 

835 

8  22 

8  09 

l  57 

?  '^§ 

11   00 

lO 

8  20 

8  09 

7  59 

7  49 

7  40 

7  30 

7  20 

7  09 

7  00 

649 

6  38 

6  28 

10 

ao 

6  41 

633 

6  24 

617 

6  09 

6  00 

5  52 

5  44 

536 

528 

5  19 

5  II 

ao 

30 

5  01 

4  54 

4  49 

4  43 

4  37 

4  30 

4  24 

4  18 

4  12 

4  06 

4  00 

3  53 

30 

40 

3  21 

3  17 

3  13 

3  09 

3  05 

3  01 

2  57 

2  52 

2  48 

2  44 

2  40 

236 

40 

50 

I  41 

I  39 

I  37 

I  34 

I  32 

I  30 

I  29 

I  27 

I  25 

I  22 

I  20 

I  18 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

la   00 

'  1 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  star  is  ri.sing  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


164 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  39°> 

DECLINATION— SAMB  NAME  AS- 

-LATITUDE. 

latitude:  39°. 

Hour 

Angle. 

60° 

61° 

1 

6a° 

«3° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b. 

ni. 

o  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  r 

0  / 

0  / 

b.    m. 

0 

OO 

O  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

.  0  00 

0  00 

0  00 

0  00 

0    00 

lO 

3  29 

3  13 

3  00 

2  47 

2  35 

2  24 

^  H 

2  04 

156 

I  47 

I  40 

10 

20 

6  55 

6  25 

558 

5  33 

5  09 

4  48 

4  28 

4  09 

3  50 

3  34 

3  18 

ao 

30 

10  15 

9  31 

852 

8  14 

7  40 

708 

638 

6  II 

5  44 

5  19 

4  56 

30 

40 

13  27 
16  29 

12  32 

II  40 

10  51 

10  07 

9  25 

8  46 

8  10 

736 

7  02 

632 

40 

50 

15  22 

14  ig 

13  22 

12  28 

11  37 

10  50 

10  05 

9  23 

8  43 

8  06 

50 

1 

OO 

19  19 

18  03 

16  52 

15  46 

14  43 

13  44 

12  49 

II  57 

II  08 

10  21 

9  37 

1    00 

10 

21  58 

20  34 

19  15 

18  01 

ID  51 

15  44 

14  42 

13  44 

12  48 

II  55 

II  05 

10 

ao 

24  23 

22  53 

21  27 

20  07 

18  50 

17  38 

16  30 

15  26 

14  24 

13  25 

12  30 

ao 

30 

26  35 

25  00 

23  30 

22  04 

20  42 

19  26 

18  12 

17  02 

15  55 

14  51 

13  51 

30 

40 

28  35 

26  56 

25  22 

23  53 

22  27 

21  05 

19  47 

18  33 

17  21 

16  13 

15  07 

40 

50 

30  21 

28  41 

27  04 

25  32 

24  02 

22  36 

21  15 

19  57 

18  41 

17  29 

16  19 

50 

2 

OO 

31  59 

30  16 

28  37 

27  02 

25  30 

24  01 

22  37 

21  15 

19  56 

18  40 

17  28 

a   00 

lO 

33  23 

31  40 

29  59 

28  23 

26  49 

25  19 

23  51 

22  28 

21  06 

19  47 

18  31 

10 

ao 

3438 

32  54 

31  13 

29  36 

28  0: 

26  29 

24  59 

23  33 

22  10 

20  48 

19  30 

ao 

30 

35  43 

34  00 

32  19 

30  41 

29  06 

27  33 

26  02 

24  34 

23  08 

21  46 

20  25 

30 

40 

36  39 

34  56 

33  16 

31  38 

30  03 

28  29 

26  57 

25  29 

24  02 

22  38 

21  15 

40 

50 

37  25 

35  46 

34  07 

32  29 

30  53 

29  20 

27  48 

26  18 

24  50 

23  24 

22  01 

50 

3 

OO 

3808 

36  27 

34  49 

33  12 

31  37 

30  04 

28  32 

27  02 

25' 33 

24  07 

22  42 

3    00 

lO 

38  42 

37  03 

35  25 

33  50 

32  15 

30  43 

29  II 

27  40 

26  12 

24  45 

23  19 

10 

ao 

39  08 

37  31 

35  55 

34  21 

32  48 

31  15 

29  44 

28  14 

26  46 

25  19 

23  53 

ao 

30 

39  30 

37.  54 

36  21 

34  47 

33  15 

31  43 

30  13 

2844 

27  15 

25  47 

24  22 

30 

40 

39  44 

38  12 

36  40 

35  08 

33  37 

32  06 

30  36 

29  08 

27  39 

26  12 

24  47 

40 

50 

39  56 

38  24 

36  54 

35  24 

33  54 

32  24 

30  56 

29  28 

28  00 

26  34 

25  09 

50 

4 

OO 

40  02 

3832 

37  03 

35  35 

34  06 

32  38 

31  II 

29  44 

28  17 

26  51 

25  27 

4   00 

lO 

40  03 

38  35 

37  08 

35  4f 

34  15 

3248 

31  22 

29  57 

28  30 

27  05 

25  41 

10 

ao 

40  00 

3835 

37  10 

35  44 

34  20 

32  54 

31  29 

30  05 

28  40 

27  16 

25  52 

ao 

30 

39  54 

38  30 

37  07 

35  43 

34  21 

32  57 

31  33 

30  10 

28  47 

27  23 

26  00 

30 

40 

39  44 

38  23 

37  01 

35  39 

34  17 

32  55 

31  33 

30  II 

28  48 

27  26 

26  05 

40 

50 

39  30 

38  II 

36  51 

35  32 

34  12 

32  50 

31  30 

30  10 

28  48 

27  28 

26  06 

50 

5 

OO 

39  14 

37  56 

36  39 

35  20 

34  01 

32  43 

31  24 

30  05 

2845 

*27  25 

26  06 

5    00 

lO 

3855 

3738 

36  22 

35  07 

33  50 

32  32 

31  15 

29  57 

28  39 

27  20 

26  02 

10 

so 

3832 

37  18 

36  04 

34  50 

33  35 

32  18 

31  02 

29  46 

28  30 

27  13 

25  56 

20 

30 

38  06 

3f  54 

35  42 

34  30 

33  16 

32  02 

30  48 

29  34 

28  18 

27  02 

25  47 

30 

40 

37  40 

3628 

35  18 

34  07 

32  55 

31  43 

30  30 

29  18 

28  04 

26  49 

25  35 

40 

50 

37  10 

36  00 

34  52 

33  42 

32  32 

31  21 

30  10 

2?  59 

27  47 

26  34 

25  22 

50 

6 

OO 

36  37 

35  39 

34  23 

33  15 

■32  07 

3058 

29  4S 

2839 

27  28 

26  17 

25  05 

6   00 

lO 

36  02 

3456 

33  51 

32  45 

31  40 

30  31 

29  23 

28  16 

27  06 

25  57 

24  48 

10 

ao 

35  26 

34  22 

33  18 

32  14 

31  10 

30  03 

28  57 

27  51 

26  43 

25  35 

24  28 

ao 

30 

34  46 

33  45 

32  43 

31  41 

3038 

29  33 

28  29 

27  24 

26  18 

25  12 

24  05 

30 

40 

34  05 

33  05 

32  05 

31  04 

30  03 

29  00 

27  58 

26  55 

25  51 

24  46 

23  41 

40 

50 

33  22 

32  24 

31  26 

30  26 

29  26 

28  26 

27  *5 

26  23 

25  21 

24  18 

23  16 

50 

7 

OO 

32  38 

31  41 

30  44 

29  46 

28  49 

27  50 

26  50 

25  51 

24  50 

23  49 

22  48 

7   00 

lO 

31  51 

3055 

30  00 

29  05 

28  09 

27  12 

26  14 

25  17 

24  17 

23  18 

22  18 

10 

ao 

31  03 

30  10 

29  16 

28  22 

27  27 

26  32 

25  36 

24  40 

23  43 

22  45 

21  48 

ao 

30 

30  13 

29  21 
28  30 

28  30 

27  37 

26  44 

25  51 

24  57 

24  02 

23  06 

22  II 

21  15 

30 

40 

29  21 

27  41 

26  51 

26  00 

25  08 

24  15 

23  23 

22  29 

21  35 

20  41 

40 

50 

28  28 

27  39 

26  51 

26  02 

25  13 

24  23 

23  32 

22  41 

21  50 

20  57 

20  05 

50 

8 

OO 

27  33 

26  46 

26  00 

25  12 

24  25 

23  36 

22  48 

21  59 

21  08 

20  18 

19  29 

8    00 

10 

26  37 

25  51 

25  06 

24  22 

23  36 

22  49 

22  02 

21  15 

20  27 

1938 

18  50 

10 

ao 

25  38 

24  55 

24  12 

23  28 

22  44 

22  00 

21  15 

20  30 

19  43 

1856 

18  10 

ao 

30 

24  39 

23  57 

23  17 

22  35 

21  52 

21  10 

20  26 

19  43 

18  58 

18  14 

17  29 

30 

40 

23  39 

22  58 

22  19 

21  39 

20  59 

20  18 

19  37 

18  13 

17  30 

16  47 

40 

50 

22  37 

2t  59 

21  21 

20  43 

20  04 

19  25 

18  45 

18  06 

17  25 

16  45 

16  04 

50 

» 

OO 

21  33 

20  56 

20  21 

19  45 

19  08 

18  31 

17  53 

17  16 

1638 

15  59 

15  20 

9   00 

10 

20  28 

19  54 

19  20 

18  46 

18  II 

17  36 

17  00 

16  24 

15  48 

15  II 

14  37 

10 

20 

19  22 

18  50 

18  18 

17  46 

17  13 

16  39 

16  05 

15  32 

14  57 

14  23 

13  49 

ao 

30 

18  16 

17  45 

17  15 

16  44 

16  13 

15  42 

15  10 

14  39 

14  06 

13  34 

13  00 

30 

40 

17  08 

16  39 

16  10 

15  42 

15  13 

14  44 

14  14 

13  45 

13  14 

12  43 

12  13 

40 

50 

15  58 

15  32 

15  06 

14  39 

14  12 

13  44 

13  16 

12  49 

12  20 

II  52 

II  24 

50 

lO 

OO 

14  49 

14  24 

14  00 

13  34 

13  10 

12  44 

12  19 

II  53 

II  27 

II  00 

10  34 

10   00 

lO 

13  38 

13  15 

12  53 

12  30 

12  07 

II  43 

II  19 

10  56 

10  32 

10  08 

9  44 

10 

20 

12  26 

12  05 

11  45 

II  25 

II  04 

10  42 

10  20 

9  59 

9  37 

9  14 

^52 

20 

30 

II  14 

10  55 

10  37 

10  17 

9  59 

9  40 

9  20 

9  01 

8  41 

8  21 

8  01 

30 

40 

10  01 

9  44 

9  27 

9  II, 

8  54 

837 

8  20 

8  03 

7  44 

7  27 

7  09 

40 

50 

.  8  47 

832 

8  18 

8  03 

748 

7  34 

7  18 

7  04 

6  48 

632 

6  16 

50 

11 

OO 

7  33 

7  20 

7  07 

655 

643 

6  30 

6  17 

6  03 

5  50 

5  37 

5  23 

11   00 

lO 

6  18 

6  07 

5  57 

5  47 

5  36 

5  25 

5  15 

5  04 

4  53 

4  41 

4  30 

10 

ao 

5  02 

4  55. 

4  46 

4  38 

4  30 

4  20 

4  12 

4  03 

3  54 

3  46 

3  37 

20 

30 

3  48 

3  41 

3  34 

3  29 

3  22 

3  16 

3  09 

3  02 

256 

2  49 

2  42 

30 

40 

2  32 

2  27 

2  23 

2  19 

2  15 

2  10 

2  06 

2  02 

I  58 

I  53 

I  48 

40 

50 

I  16 

I  14 

I  12 

I  10 

I  08 

I  06 

I  03 

I  01 

0  59 

0  57 

0  54 

50 

la 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


165 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  40°. 

DECL;INATlON— 

SAME  NAME  AS— I^ATITUDE. 

i^atititde:  40°. 

Hour  Angle. 

24° 

25° 

26°        27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

ta. 

m. 

o    / 

0    /   1 

0    /   1      0    / 

0    ' 

0    1 

0    / 

0    / 

0    / 

0    / 

0    / 

0  1 

h.          m. 

O 

OO 

i8o  00 

180  00 

180  00     180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0          00 

lO    1 

171  46 

171  17  , 

170  47     170  10 

169  29 

168  39 

167  41 

166  30 

165  04 

163  13 

160  50 

157  35 

10 

20 

163  46 

162  54  1 

161  55  !  160  47 

159  30 

158  00 

156  15 

154  10 

151  41 

148  37 

144  50 

140  02 

20 

30 

156  14 

155  01 

153  39  I  152  09 

150  25 

148  28 

146  12 

143  36 

140  33 

13658 

132  44 

127  43 

30 

40 

149  15 

147  48 

146  12    144  25 

142  25 

140  12 

137  41 

134  51 

131  38 

12758 

123  49 

119  06 

40 

50 

142  56 

141  19 

139  34  1  137  37 

135  30 

133  09 

130  33 

127  42 

124  31 

121  00 

117  07 

112  50 

50 

1. 

OO 

137  14 

135  32 

133  42      131  42 

129  32 

127  II 

124  37 

121  49 

118  47 

"5  30 

III  56 

108  05 

1          00 

lO 

132  08 

130  23 

128^1      126  32 

124  22 

122  04 

119  35 

116  56 

114  04 

III  02 

107  46 

104  18 

10 

20 

127  34 

125  50  1 

123  59      122  00 

119  54 

117  41 

115  18 

112  47 

no  07 

107  18 

104  19 

lOI    II 

20 

30 

123  27 

121  44 

119  55      118  01 

115  59 

"3  52 

III  36 

109  14 

106  45 

104  08 

loi  24 

9832 

30 

40 

119  45 

118  04 

116  19 

114  28 

112  31 

no  30 

108  21 

106  07 

103  48 

1 01  22 

9851 

96  14 

40 

50 

116  23 

"4  45 

"3  03 

III  17 

109  25 

107  29 

105  29 

103  23 

loi  13 

9857 

96  37 

94  II 

50 

2 

OO 

113  19 

III  45 

no  06 

108  24 

106  38 

104  48 

102  53 

100  55 

98  52 

96  45 

94  35 

92  20 

2          00 

lO 

no  31 

108  59 

107  25 

105  47 

104  04 

102  20 

100  31 

9839 

96  44 

94  45 

92  42 

9037 

10 

ao 

107  55 

106  27  1 

104  56 

103  22 

101  45 

100  05 

98  22 

9636 

94  47 

92  55 

90  59 

89  02 

20 

30 

105  30 

104  06 

102  37  : 

Id  07 

99  34 

97  59 

96  21 

94  40 

92  56 

91  n 

89  22 

S7ii 

30 

40 

103  15 

loi  53 

100  28  ' 

99  01 

97  32 

96  01 

94  28 

92  52 

91  14 

89  33 

87  50 

86  05 

40 

50    i 

101  08 

99  48 

98  27 

97  04 

9538 

94  II 

92  41 

91  09 

8936 

88  00 

86  23 

84  43 

50 

» 

OO    1 

99  07 

97  50 

9632  j 

95  12 

93  49 

92  25 

90  59 

^32 

88  03 

8631 

8458 

83  24 

3           00 

lO    1 

97  12 

9558 

94  42 

93  25 

92  05 

90  45 

89  22 

8758 

86  33 

8506 

83  37 

82  07 

10 

20 

95  22 

94  II 

92  57 

91  43 

90  26 

89  08 

87  49 

86  28 

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83  43 

82  18 

80  51 

20 

30 

93  37 

92  28 

91  17 

88  50 

8736 

86  19 

85  01 

8343 

82  22 

81  01 

79  39 

30 

40 

91  56 

9048 

89  40 

88  29 

87  18 

86  06 

8452 

83  37 

82  21 

81  04 

79  46 

78  26 

40 

50 

90  17 

89  12 

88  06 

8657 

8547 

8438 

83  27 

82  15 

81  01 

79  47 

78  31 

■   77  14 

50 

4 

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88  42 

8738 

8633 

85  27 

84  20 

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79  43 

78  31 

77  18 

76  03 

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87  09 

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81  48 

80  41 

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78  24 

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40 

50 

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63  46 

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39  30 

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34  31 

34  01 

33  30 

33  00 

32  30 

32  00 

20 

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35  04 

34  34 

34  04 

33  34 

33  05 

32  35 

32  06 

31  38 

31  10 

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30  13 

30 

40 

33  29 

33  00 

32  30 

32  02 

31  34 

31  05 

30  37 

30  09 

29  42 

29  15 

28  48 

28  22 

40 

50 

31  19 

30  52 

30  25 

29  57 

29  31 

29  03 

28  38 

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25  46 

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26  52 

26  28 

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25  17 

24  54 

24  30 

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23  23 

23  01 

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10 

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24  36 

24  13 

23  51 

23  28 

23  07 

22  46 

22  25 

22  03 

21  43 

21  22 

21  02 

20  42 

20 

30 

22  16 

21  56 

21  35 

21  15 

20  55 

20  36 

20  16 

19  57 

1938 

19  20 

19  01 

18  43 

30 

40 

19  54 

19  35 

19  17 

1859 

18  41 

18  23 

18  c6 

17  49 

17  32 

17  15 

16  58 

16  41 

40 

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17  30 

17  13 

16  57 

16  41 

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16  10 

15  54 

15  39 

15  24 

15  09 

14  55 

14  40 

50 

11 

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15  03 

14  49 

14  36 

14  21 

14  08 

13  55 

13  41 

13  28 

13  15 

13  02 

12  50 

12  37 

11           00 

lO 

12  36 

12  24 

12  12 

12  00 

II  48 

II  38 

II  26 

II  15 

II  04 

10  54 

10  43 

ID  32 

10 

20 

10  06 

9  57 

948 

938 

9  29 

9  20 

9  II 

9  02 

853 

8  44 

836 

827 

20 

30 

736 

7  29 

7  22 

7  15 

7  07 

7  00 

6  54 

6  47 

6  40 

633 

627 

6  21 

30 
40 

40 

505 

4  59 

4  55 

4  50 

4  45 

440 

4  36 

4  32 

4  27 

4  22 

4  19 

4  14 

50 

2  32 

2  30 

2  27 

2  25 

2  22 

2  20 

2  18 

2  16 

2  14 

2  12 

2  09 

2  07 

50 

12 

OO 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

■  0  00 

0  00 

12           00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


AZIMUTH  OR  TRUE  BEARING. 


LiATITlIDE  40°. 

DECLINATION- 

-SAME  NAME  AS— I^ATlfUDE. 

LATIXCDC:  40°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

li. 

in. 

o  / 

0  / 

0  / 

0  / 

D   / 

0  / 

0  r 

0  / 

0  / 

0  / 

0  1 

0  / 

li.    ni. 

O 

OO 

l8o  00 

180  00 

180  00 

180  00 

0  CO 

0   00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

153  oo 

146  06 

135  02 

116  36 

89  12 

61  27 

42  31 

31  09 

24  06 

19  24 

16  06 

13  40 

10 

20 

133  53 

125  54 

115  39 

102  56 

8824 

73  39 

60  27 

49  41 

41  15 

34  44 

29  41 

25  42 

20 

30 

121  44 

114  42 

106  33 

97  24 

^135 

77  38 

68  06 

59  27 

51  52 

45  23 

39  55 

35  20 

30 

40 

113  46 

107  48 

loi  15 

94  11 

^47 

79  17 

71  55 

64  55 

58  26 

52  33 

47  18 

42  40 

40 

50 

108  09 

103  05 

9738 

91  55 

8558 

79  57 

73  58 

68  09 

62  36 

57  23 

52  33 

48  09 

50 

1 

00 

103  58 

99  34 

94  57 

90  08 

85  10 

80  08 

75  06 

70  09 

65  20 

60  43 

56  20 

52  14 

1     00 

lO 

100  38 

96  48 

92  46 

8836 

84  21 

80  02 

75  41 

71  23 

67  09 

66  01 

59  04 

55  16 

10 

20 

97  54 

94  29 

9056 

ii'^ 

8332 

79  45 

75  56 

72  07 

68  2t 

64  39 

61  03 

57  33 

20 

30 

95  34 

92  29 

89  18 

86  02 

8243 

79  20 

75  56 

72  31 

6908 

65  46 

62  29 

59  15 

30 

40 

93  31 

90  43 

8750 

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81  53 

78  50 

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72  41 

6936 

66  31 

63  30 

60  31 

40 

60 

91  42 

8907 

8630 

8348 

81  04 

78  17 

75  29 

72  43 

6950 

67  00 

64  13 

61  27 

50 

2 

OO 

90  01 

8739 

85  13 

82  45 

80  13 

77  41 

75  06 

72  30 

69  54 

67  17 

64  41 

62  06 

2   ,  00 

10 

88  27 

86  16 

84  00 

81  43 

79  23 

77  02 

7438 

72  14 

69  48 

67  22 

6456 

62  32 

10 

20 

87  or 

8457 

82  51 

8043 

7833 

76  21 

74  07 

71  52 

69  37 

67  21 

65  04 

62  47 

20 

30 

85  37 

8342 

81  43 

79  43 

■  77  41 

75  38 

73  33 

71  26 

69  19 

67  II 

65  03 

62  55 

30 

40 

84  18 

82  29 

80  38 

78  45 

76  50 

74  54 

72  56 

70  57 

6857 

6656 

64  55 

62  54 

40 

50 

83  02 

81  18 

79  33 

77  46 

7558 

74  09 

72  17 

70  25 

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50 

3 

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81  47 

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68  02 

66  14 

64  24 

62  35 

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8035 

79  02 

77  26 

75  50 

74  12 

72  33 

70  53 

69  12 

67  30 

65  47 

64  02 

62  17 

10 

20 

79  24 

77  55 

76  23 

74  52 

73  19 

71  44 

70  09 

68  32 

6655 

65  16 

63  37 

61  56 

20 

30 

78  14 

76  49 

75  21 

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72  25 

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69  23 

67  51 

66  18 

64  43 

63  08 

61  32 

30 

40 

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71  30 

70  03 

6835 

67  08 

6538 

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6236 

61  04 

40 

50 

75  57 

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67  47 

66  22 

64  56 

63  30 

62  02 

60  34 

50 

4 

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74  48 

73  33 

72  16 

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6938 

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62  49 

61  25 

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73  40 

72  27 

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68  41 

67  25 

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63  28 

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10 

20 

72  33 

71  22 

70  10 

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66  29 

65  14 

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62  41 

61  24 

60  04 

58  45 

20 

30 

71  26 

70  17 

69  07 

6756 

6645 

65  34 

64  21 

63  07 

61  53 

60  37 

59  21 

58  05 

30 

40 

70  17 

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68  03 

6656 

6546 

64  37 

6327 

62  15 

61  03 

59  50 

58  37 

57  23 

40 

60 

69  09 

68  05 

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65  53 

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6338 

62  31 

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59  01 

57  49 

5638 

50 

5 

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68  00 

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65  54 

64  50 

63  45 

62  40 

61  33 

60  26 

59  18 

58  09 

57  00 

55  51 

5     00 

10 

66  51 

65  50 

64  48 

63  45 

62  43 

6139 

60  35 

59  29 

58  24 

57  18 

56  10 

55  03 

10 

20 

65  41 

64  42 

63  41 

62  41 

61  40 

60  3& 

59  35 

58  32 

57  28 

■56  24 

55  18 

54  13 

20 

30 

64  30 

63  33 

62  34 

61  35 

60  35 

59  35 

5834 

57  33 

56  31 

55  28 

54  25 

53  21 

30 

40 

63  19 

62  22 

61  25 

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50 

6 

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59  40 

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10 

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52  18 

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50  29 

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ao 

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57  39 

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52  02 

51  10 

50  17 

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43  13 

10 

20 

50  26 

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48  12 

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46  41 

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45  10 

44  24 

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42  51 

42  04 

20 

30 

49  02 

48  18 

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41  38 

40  53 

30 

40 

47  35 

46  53 

46  10 

45  28 

44  45 

44  02 

43  18 

42  35 

41  52 

41  08 

40  24 

39  40 

40 

50 

46  06 

45  26 

44  44 

44  03 

43  21 

42  40 

41  58 

41  16 

40  33 

39  51 

3908 

38  26 

50 

8 

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44.  36 

43  56 

43  16 

42  36 

41  56 

41  15 

40  35 

39  54 

39  13 

3832 

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37  09 

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43  05 

42  26 

41  46 

41  08 

40  29 

39  50 

39  10 

3831 

37  51 

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36  32 

35  51 

10 

20 

41  31 

40  54 

40  15 

39  38 

39  00 

38  22 

37  45 

37  07 

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35  49 

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34  33 

20 

30 

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39  20 

38  43 

3806 

37  30 

36  54 

36  17 

35  40 

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34  26 

33  49 

33  II 

30 

40 

38  19 

37  44 

37  08 

36  33 

35  58 

35  23 

34  47 

34  12 

33  36 

33  00 

32  25 

31  49 

40 

50 

36  39 

36  06 

35  31 

3458 

34  24 

33  49 

33  16 

32  42 

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31  34 

31  00 

30  26 

50 

9 

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34  58 

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33  20 

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31  10 

30  37 

30  05 

29  32 

28  59 

9     00 

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33  15 

32  45 

32  12 

31  41 

31  10 

30  40 

30  08 

29  37 

29  06 

2835 

28  03 

27  33 

10 

20 

31  30 

31  01 

30  30 

30  01 

29  31 

29  02 

28  32 

28  02 

27  33 

27  04 

26  33 

26  05 

20 

30 

29  43 

29  15 

28  46 

28  18 

27  50 

27  23 

26  54 

26  26 

2558 

25  30 

25  02 

24  35 

30 

40 

27  54 

27  27 

27  00 

26  34 

26  08 

25  42 

25  15 

24  48 

24  22 

23  56 

23  29 

23  03 

40 

50 

26  03 

25  38 

25  13 

24  48 

24  23 

23  59 

23  34 

23  09 

22  44 

22  20 

21  55 

21  31 

50 

10 

OO 

24  12 

23  48 

23  25 

23  01, 

22  38 

22  15 

21  52 

21  29 

21  06 

20  42 

20  19 

1956 

10    00 

lO 

22  17 

21  55 

21  33 

21  12 

20  50 

20  29 

20  08 

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19  03 

18  43 

18  21 

10 

20 

20  22 

20  02 

19  41 

19  22 

19  02 

18  42 

18  22 

18  02 

17  43 

17  24 

17  04 

16  45 

20 

30 

18  24 

18  06 

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17  30 

17  12 

16  54 

1636 

16  18 

16  01 

15  44 

15  25 

15  08 

30 

40 

16  25 

16  09 

15  53 

15  37 

15  20 

15  04 

14  48 

14  33 

14  17 

14  01 

13  46 

13  30 

40 

50 

14  25 

14  II 

13  56 

13  42 

13  28 

13  14 

13  00 

12  45 

12  32 

12  iS 

12  04 

II  50 

50 

11 

OO 

12  24 

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II  47 

II  35 

II  23 

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10  5« 

10  46 

10  34 

10  23 

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10  21 

10  12 

10  00 

9  50 

9  40 

9  30 

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8  50 

8  40 

8  29 

10 

20 

8  18 

8  10 

8  02 

7  53 

7  45 

7  37 

7  29 

7  20 

7  13 

7  04 

656 

649 

20 

30 

6  14 

6  09 

6  02 

556 

5  49 

5  43 

5  37 

5  31 

5  24 

5  19 

5  13 

5  or 

30 

40 

4  10 

4  06 

4  01 

358 

3  53 

3  49 

3  44 

3  41 

3  37 

3  33 

328 

3  24 

40 

50 

2  05 

2  03 

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0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  oid 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


167 


AZIMUTH  OR  TRUE  BEARING. 


IiAtitude:  40°. 

DECLINATION- 

SAME  NAME  AS-IvATITUDE. 

latitude:  4o°. 

Hour  Angle. 

48° 

490 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

570 

58= 

590 

Hour  Angle. 

h. 

III. 

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19  53 

17  43 

15  55 

14  23 

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10  52 

9  58 

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8  28 

7  49 

20 

30 

31  26 

28  09 

25  20 

22  55 

20  49 

19  00 

17  23 

15  57 

14  40 

13  32 

12  30 

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30 

40 

38  35 

34  59 

31  49 

29  02 

26  34 

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50 

44  07 

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20 

54  12 

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39  39 

37  13 

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49  18 

46  43 

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37  23 

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50 

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56  02 

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36  25 

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30  22 

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26  30 

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28  06 

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40 

31  13 

30  37 

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24  24 

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25  09 

24  33 

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28  26 

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25  26 

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25  35 

25  04 

24  35 

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22  35 

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20  00 

20 

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2338 

23  09 

22  42 

22  13 

21  44 

21  16 

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20  18 

19  49 

19  19 

18  50 

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40 

2236 

22  10 

21  43 

21  17 

20  50 

20  23 

19  57 

1930 

19  02 

18  35 

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50 

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19  26 

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17  46 

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17  38 

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16  35 

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14  25 

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20 

16  26 

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15  28 

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14  29 

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13  50 

13  29 

13  09 

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14  33 

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1358 

13  39 

13  22 

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12  47 

12  29 

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30  1 

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12  58 

12  42 

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10  51 

10  36 

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50 

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6  29 

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20 

6  41 

633 

6  25 

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6  09 

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5  20 

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5  01 

4  55 

4  48 

4  43 

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4  31 

4  25 

4  18 

4  12 

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3  55 

30 

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3  20 

3  16 

3  12 

308 

3  04 

3  00 

2  57 

2  53 

2  49 

2  45 

2  40 

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50 

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I  39 

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I  27 

I  24 

I  22 

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0  00 

0  00 

0  00 

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0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

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12     00 

: 1 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  Bast;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


168 


AZIMUTH    OR   TRUE    BEARING. 


IiAtitude:  400. 

DECI^INATION— SAMB  NAME  AS— 

IvATITUDE. 

latitude;  40°. 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

66° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

li. 

m. 

o  / 

0  / 

0  / 

0  1 

0  / 

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0  ' 

0  / 

0  ' 

0  / 

0  / 

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3  39 

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2  54 

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10 

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7  14 

6  42 

6  13 

5  46 

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4  58 

4  37 

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358 

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30 

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9  56 

9  14 

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7  24 

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6  23 

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40 

14  03 

13  03 

12  08 

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40 

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14  55 

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1 

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14  13 

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10  40 

9  54 

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22  50 

21  22 

19  58 

18  40 

17  26 

16  17 

15  12 

14  10 

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12  16 

11  24 

10 

20 

55  20 

23  44 

22  14 

20  49 

19  29 

18  14 

17  02 

15  54 

14  49 

13  49 

12  51 

20 

30 

27  34 

25  55 

24  20 

22  48 

21  24 

20  03 

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17  33 

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29  36 

27  52 

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20  23 

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50 

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2938 

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50 

a 

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33  00 

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34  24 

32  37 

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27  35 

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21  38 

20  18 

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20 

3538 

33  50 

32  06 

30  25 

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27  12 

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21  20 

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20 

30 

36  41 

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31  30 

29  51 

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23  43 

22  17 

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30 

40 

37  37 

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3 

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38  20 

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30 

40  18 

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40 

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4 

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40  44 

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27  35 

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10 

20 

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39  13 

37  47 

36  20 

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33  28 

32  02 

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29  09 

27  44 

.  26  18 

20 

30 

40  31 

3908 

37  43 

36  18 

34  53 

33  29 

32  05 

30  39 

29  14 

27  50 

26  25 

30 

40 

40  20 

3858 

37  35 

36  12 

34  50 

33  27 

32  03 

30  40 

29  16 

27  54 

26  30 

40 

50 

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3845 

37  24 

36  03 

34  42 

33  21 

31  59 

30  37 

29  15 

27  54 

26  30 

50 

5 

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39  46 

3829 

37  10 

35  51 

34  32 

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31  52 

30  31 

29  10 

27  53 

26  29 

5     00 

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39  25 

3809 

36  52 

35  36 

34  18 

32  59 

31  42 

30  23 

29  03 

27  44 

26  24 

10 

20 

39  01 

37  47 

36  32 

35  17 

34  01 

32  45 

31  28 

30  II 

2853 

27  35 

26  18 

20 

30 

38  35 

37  23 

36  10 

34  56 

33  42 

32  27 

31  12 

29  56 

28  40 

27  24 

26  07 

30 

40 

38  06 

36  55 

35  43 

34  32 

33  20 

32  07 

30  54 

29  40 

28  26 

27  II 

25  55 

40 

50 

37  34 

36  25 

35  16 

34  06 

32  56 

31  44 

30  33 

29  20 

28  08 

26  55 

25  42 

50 

6 

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37  00 

35  54 

34  46 

33  37 

32  29 

31  20 

30  10 

2859 

27  49 

26  37 

25  25 

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36  24 

35  19 

34  13 

33  07 

32  00 

30  52 

29  45 

28  36 

27  26 

26  16 

25  05 

10 

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34  43 

33  39 

32  34 

31  29 

30  23 

29  17 

28  10 

27  02 

25  53 

24  45 

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34  05 

33  03 

32  00 

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29  52 

28  47 

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33  24 

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29  30 

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23  56 

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29  35 

28  43 

27  50 

26  57 

26  04 

25  10 

24  15 

23  19 

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21  27 

30 

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25  20 

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21  47 

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27  51 

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26  14 

25  25 

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23  44 

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22  01 

21  09 

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19  26 

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15  18 

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16  12 

15  38 

15  04 

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10  24 

10  03 

9  40 

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10  58 

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10  20 

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8  44 

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8  39 

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8  04 

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8  35 

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736 

7  20 

7  05 

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6  34 

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5  59 

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526 

5  16 

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4  56 

4  47 

4  39 

4  30 

4  22 

4  14 

4  04 

3  55 

3  46 

3  37 

20 

30 

3  48 

3  41 

336 

3  30 

3  23 

3  17 

3  10 

3  C4 

2  57 

2  50 

2  43 

30 

40 

2  32 

2  28 

2  23 

2  20 

2  15 

2  12 

2  07 

2  02 

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I  53 

I  49 

40 

50 

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I  14 

I  12 

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I  08 

I  06 

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0  59 

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0  54 

50 

la 

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0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West; 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  talnilated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


169 


AZIMUTH    OR   TRUE    BEARING. 


LATITUDE  41°. 

DECI,INATION- 

-SAME  NAME  AS— LATITUDE. 

liATITUDE  41°. 

Hour  An 

gle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

36° 

Hour  Angle. 

h. 

m. 

0   ' 

0  / 

0  / 

0  ' 

0  / 

0  1 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

li.     ni. 

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172  13 

171  50 

171  22 

170  51 

170  15 

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166  39 

165  13 

163  24 

161  03 

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20 

164  39 

163  53 

163  01 

162  02 

160  56 

159  39 

158  II 

156  27 

154  24 

151  56 

148  54 

145  08 

20 

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157  27 

156  23 

155  12 

153  51 

152  22 

150  39 

148  43 

146  28 

143  53 

140  51 

137  18 

133  04 

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149  27 

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146  25 

144  39 

142  40 

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137  58 

135  08 

131  56 

128  17 

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143  08 

141  32 

139  47 

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124  48 

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133  56 

132  19 

130  35 

128  44 

126  44 

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107  55 

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20 

129  22 

127  44 

126  00 

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122  II 

120  05 

117  52 

115  29 

112  58 

no  17 

107  27 

104  26 

20 

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123  35 

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120  04 

118  10 

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20 

109  21 

107  56 

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103  22 

101  44 

100  04 

98  20 

96  33 

94  43 

92  50 

90  54 

20 

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105  29 

104  03 

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99  31 

97  56 

96  16 

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92  51 

91  04 

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30 

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97  28 

95  56 

94  22 

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89  25 

87  41 

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98  21 

96  57 

95  32 

94  04 

92  34 

91  01 

89  28 

87  52 

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100  15 

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97  43 

96  24 

95  04 

93  41 

92  17 

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98  16 

97  04 

95  49 

94  33 

93  15 

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96  23 

95  12 

94  00 

92  47 

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20 

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50 

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89  28 

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76  25 

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70  59 

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69  33 

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64  20 

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0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North'  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitudp,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  dllTerent  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


170 


AZIMUTH  OR  TRUE  BEARING. 


LATITlJItX:  41°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  41°. 

Hour 

Angle. 

36° 

370 

38° 

39° 

40° 

41° 

42° 

43° 

44" 

45° 

46° 

47° 

Hoar  Angle. 

Ji. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

C   ' 

0  ' 

0  t 

0  t 

0  ' 

0  t 

0  / 

Ii.    in. 

O 

OO 

i8o  oo 

180  00 

180  00 

180  00 

180  00 

0  GO 

0  00 

0  00 

0  00 

0  00 

0  00 

,  0    00 

lO 

157  50 

153  18 

146  27 

135  26 

116  56 

89  II 

61  04 

42  04 

30  43 

23  43 

19  05 

'5  50 

10 

20 

140  23 

134  13 

126  16 

"5  56 

103  07 

88  22 

73  25 

60  03 

49  12 

40  45 

34  16 

29  14 

20 

30 

128  03 

122  03 

114  59 

106  45 

97  30 

8732 

77  26 

67  46 

59  01 

51  22 

44  53 

39  24 

30 

40 

119  23 

114  01 

108  00 

Id  19 

94  13 

8643 

79  06 

71  37 

64  32 

57  58 

52  03 

46  47 

40 

50 

"3  05 

108  21 

103  14 

97  43 

91  55 

8553 

79  47 

73  42 

67  48 

62  II 

56  55 

52  03 

50 

1 

OO 

108  16 

104  06 

99  40 

94  59 

90  06 

85  04 

7958 

74  51 

69  49 

64  56 

60  16 

5550 

1    00 

lO 

104  25 

100  44 

96  50 

92  46 

88  33 

84  14 

79  51 

75  26 

71  02 

66  46 

62  37 

58  35 

10 

20 

:oi  17 

97  57 

94  29 

90  54 

87  II 

83  24 

79' 33 

75  41 

71  49 

67  59 

64  14 

60  35 

20 

30 

9835 

95  35 

92  28 

89  15 

is  56 

82  34 

7908 

75  40 

72  14 

6847 

6s  23 

62  02 

30 

40 

96-15 

93  30 

90  40 

87  45 

84  46 

81  43 

7838 

75  31 

72  23 

69  15 

66  08 

63  04 

40 

50 

94  10 

91  38 

89  03 

86  23 

8339 

8053 

78  03 

75  13 

72  22 

69  29 

(£  37 

63  46 

50 

2 

OO 

92  16 

8956 

87  32 

85  05 

82  35 

80  02 

77  27 

74  49 

72  II 

69  32 

66  53 

64  15 

2     00 

lO 

90  32 

88  21 

86  oS 

83  51 

81  32 

79  II 

76  48 

74  22 

71  54 

69  27 

67  00 

64  31 

10 

ao 

8855 

86  52 

84  47 

82  40 

80  31 

78  19 

76  05 

73  48 

71  33 

69  15 

66  57 

64  38 

20 

30 

87  23 

85  28 

83  31 

81  31 

79  30 

77  27 

75  21 

73  15 

71  07 

6857 

66  47 

64  37 

30 

40 

85  57 

84  07 

82  17 

80  25 

78  31 

76  34 

74  36 

72  37 

70  37 

6835 

66  32 

64  29 

40 

50 

84  32 

82  49 

81  05 

79  21 

77  32 

75  41 

73  50 

71  57 

70  04 

68  09 

66  13 

64  16 

50 

3 

OO 

83  12 

-81  34 

'  79  55 

78  14 

76  32 

74  48 

73  02 

71  15 

69  28 

67  39 

65  49 

63  59 

3    00 

lO 

81  53 

80  21 

78  46 

77  10 

75  33 

73  54 

72  14 

70  31 

68  49 

67  05 

6s  21 

6336 

10 

20 

8037 

79  08 

77  38 

76  07 

74  33 

72  59 

71  24 

69  47 

68  09 

66  30 

64  50 

63  10 

20 

30 

79  22 

77  57 

76  31 

75  03 

73  35 

72  04 

70  33 

69  00 

67  27 

65  52 

64  17 

62  41 

30 

40 

78  09 

76  47 

75  24 

74  00 

72  35 

71  09 

69  42 

68  12 

6643 

65  12 

63  41 

62  09 

40 

50 

7656 

75  37 

74  17 

72  57 

71  36 

70  13 

6848 

67  23 

65  57 

64  30 

63  03 

61  34 

50 

4 

OO 

75  44 

74  28 

73  12 

71  54 

70  35 

69  16 

67  55 

6633 

65  10 

63  46 

62  22 

6056 

4     00 

lO 

74  32 

73  19 

72  05 

70  51- 

69  35 

68  18 

67  00 

65  41 

64  21 

63  00 

61  40 

60  17 

10 

20 

73  21 

72  10 

70  59 

69  47 

68  33 

67  19 

66  04. 

64  48 

63  30 

62  13 

60  54 

59  35 

20 

30 

72  10 

.  71  02 

69  52 

68  42 

67  32 

66  20 

65  07 

63  53 

62  39 

61  24 

60  08 

58  52 

30 

40 

70  59 

69  52 

68  45 

6738 

66  29 

65  20 

64  09 

62  59 

61  47 

60  34 

59  21 

5806 

40 

50 

6948 

68  43 

67  39 

6633 

65  27 

64  19 

63  II 

62  02 

60  53 

59  41 

5a  31 

57  19 

50 

5 

OO 

6836 

67  33 

66  30 

6526 

64  22 

63  17 

62  II 

61  04 

59  56 

58  48 

57  39 

56  29 

5     00 

lO 

67  24 

66  23 

65  22 

64  20 

63  17 

62  14 

61  10 

60  05 

59  00 

57  53 

56  47 

55  39 

10 

20 

66  12 

65  13 

64  13 

63  12 

62  12 

61  10 

60  08 

5905 

58  02 

56  57 

55  52 

54  47 

20 

30 

64  59 

64  01 

63  03 

62  04 

61  05 

60  05 

59  04 

58  03 

57  02 

55  59 

54  57 

53  53 

30 

40 

63  46 

62  48 

61  52 

60  55 

59  58 

5859 

58  00 

57  01 

56  01 

55  00 

53  59 

52  57 

40 

50 

62  31 

61  36 

60  42 

59  46 

58  49 

57  53 

56  55 

55  57 

54  59 

54  00 

5300 

52  00 

50 

6 

OO 

61  16 

60  22 

59  29 

58  34 

57  39 

56  44 

55  48 

54  51 

53  55 

52  57 

52  00 

51  01 

6     00 

lO 

59  59 

59  07 

58  15 

57  22 

56  29 

55  35 

54  40 

53  45 

52  50 

51  54 

50  57 

50  01 

10 

^?R 

58  42 

57  51 

57  01 

56  09 

55  17 

54  24 

53  31 

52  38 

51  44 

50  50 

49  55 

49  00 

20 

30 

57  25 

56  34 

55  44 

54  54 

54  04 

53  12 

52  21 

51  28 

50  36 

49  43 

48  50 

47  57 

30 

40 

56  05 

55  16 

54  28 

53  38 

52  49 

51  59 

51  09 

50  17 

48  16 

48  35 

47  44 

46  51 

40 

50 

54  45 

53  57 

53  10 

52  21 

51  33 

5044 

49  55 

49  06 

47  26 

46  35 

45  45 

50 

7 

OO 

53  23 

52  35 

51  49 

51  03 

50  16 

49  29 

48  40 

47  52 

47  05 

46  15 

45  26 

44  36 

7     00 

lO 

51  59 

51  13 

50  28 

49  42 

4857 

48  II 

47  25 

46  38 

45  51 

45  03 

44  16 

43  27 

10 

20 

50  34 

49  50 

49  06 

"^f  '^l 

47  37 

46  52 

46  07 

45  21 

44  36 

43  49 

43  03 

42  16 

20 

30 

49  08 

48  25 

47  42 

4658 

46  15 

45  32 

44  47 

44  03 

43  18 

42  34 

41  49 

41  04 

30 

40 

47  40 

4658 

46  16 

45  34 

44  52 

44  10 

43  27 

42  44 

42  01 

41  17 

40  34 

39  50 

40 

50 

46  II 

45  30 

44  50 

44  09 

43  28 

42  46 

42  05 

41  23 

40  42 

39  59 

39  18 

3834 

50 

8 

OO 

44  40 

44  00 

43  20 

42  40 

42  01 

41  21 

40  41 

40  00 

39  20 

38  39 

37  59 

37  17 

8     00 

lO 

43  07 

42  29 

41  50 

•41  12 

40  34 

39  55 

39  16 

3837 

37  57 

37  18 

36  39 

35  59 

10 

20 

41  33 

40  55 

40  19 

39  41 

39  03 

3826 

3748 

37  II 

36  33 

35  55 

35  17 

34  39 

20 

30 

39  56 

39  20 

3845 

38  08 

37  33 

3656 

36  19 

35  43 

35  07 

,34  30 

33  54 

33  17 

30 

40 

38  18 

37  43 

3708 

36  34 

35  59 

35  25 

34  49 

34  14 

33  39 

33  05 

32  30 

31  53 

40 

SO 

3638 

36  05 

35  31 

34  57 

34  24 

33  51 

33  17 

32  43 

32  10 

31  37 

31  03 

30  29 

50 

9 

OO 

34  56 

34  24 

33  52 

33  19 

3248 

32  16 

31  43 

31  II 

30  40 

30  07 

29  35 

29  03 

9     00 

lO 

33  13 

32  42 

32  II 

31  40 

31  10 

30  40 

30  08 

29  37 

29  07 

28  37 

28  06 

27  35 

10 

20 

31  28 

30  58 

30  29 

30  00 

29  31 

29  01 

28  32 

28  02 

27  33 

27  04 

26  36 

26  06 

20 

30 

29  40 

29  12 

2845 

28  17 

27  50 

27  22 

26  53 

26  27 

25  58 

25  32 

25  04 

24  36 

30 

40 

27  50 

27  25. 

26  59 

26  32 

26  07 

25  40 

25  14 

24  49 

24  22 

23  56 

23  31 

23  04 

40 

50 

26  00 

25  35 

25  11 

24  46 

.  24  22 

23  57 

23  33 

23  08 

22  44 

22  20 

21  56 

21  31 

50 

lO 

OO 

24  07 

23  44 

23  22 

22  58 

22  36 

22  13 

21  50 

21  27 

21  05 

20  42 

20  20 

19  58 

10    00 

lO 

22  14 

21  52 

21  31 

21  09 

20  49 

20  27 

20  06 

19  46 

19  24 

19  03 

18  42 

18  22 

10 

20 

20  17 

19  59 

19  39 

19  19 

19  00 

18  40 

18  21 

18  02 

17  43 

17  24 

17  04 

16  46 

20 

30 

18  21 

18  03 

17  45 

17  27 

17  10 

16  52 

16  35 

16  17 

16  00 

15  43 

15  25 

15  08 

30 

40 

16  22 

16  05 

15  50 

15  34 

15  18 

15  03 

14  47 

14  32 

14  15 

14  00 

13  45 

13  29 

40 

50 

14  23 

14  08 

13  54 

13  40 

13  26 

13  12 

12  59 

12  45 

12  31 

12  18 

12  04 

II  51 

50 

11 

OO 

12  21 

12  08 

II  56 

II  44 

II  33 

II  21 

II  09 

10  57 

10  45 

10  33 

10  22 

10  10 

11     00 

lO 

10  19 

10  09 

9  59 

9  49 

938 

9  29 

9  19 

9  09 

8  59 

8  49 

8  39 

?  30 

10 

20 

817 

8  08 

8  00 

7  52 

7  44 

736 

7  27 

7  20 

7  12 

7  03 

656 

6  48 

20 

30 

6  13 

6  06 

6  01 

5  54 

5  49 

5  42 

536 

5  31 

5  24 

5  18 

5  12 

5  07 

30 

40 

4  08 

4  05 

4  01 

356 

3  53 

348 

3  44 

3  40 

3  37 

3  33 

3  29 

3  24 

40 

5C 

2  04 

2  02 

2  01 

I  59 

I  56 

I  54 

I  52 

I  50 

I  48 

I  46 

I  45 

I  43 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CX5 

12     00 

In  jVorth  latitude^  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  Ea^t;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude^  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  decllnatton  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


171 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  41°. 

DECLINATION- 

SAME  NAME  AS— LATITUDE. 

I.ATITUD£  41°. 

Hour  An 

gle. 

48° 

49° 

50° 

51° 

52° 

53° 

540 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

Ii. 

Ul. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

h.    in. 

O 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00  - 

0  00 

0  00 

0  00 

0    00 

10 

13  25 

II  35 

10  08 

•  858 

7  59 

7  II 

6  30 

5  54 

5  22 

4  55 

i^^ 

4  09 

10 

20 

25  15 

22  05 

19  32 

17  23 

15  35 

14  04 

12  45 

'5  37 

10  37 

9  44 

857 

8  14 

20 

30 

34  48 

30  56 

27  40 

24  52 

22  28 

20  23 

1835 

16  58 

15  34 

14  iS 

13  II 

12  10 

30 

40 

42  06 

38  01 

34  26 

31  16 

28  30 

26  02 

23  51 

21  55 

20  10 

18  36 

17  11 

15  54 

40 

50 

47  35 

43  33 

39  54 

3636 

33  37 

30  57 

28  31 

26  20 

24  20 

22  32 

20  53 

19  23 

50 

1 

OO 

51  39 

47  49 

44  15 

40  57 

37  54 

35  08 

32  34 

30  14 

28  04 

26  05 

24  16 

22  35 

1     00 

lO 

54  45 

51  07 

47  42 

44  28 

41  27 

38  40 

36  03 

3338 

31  22 

29  16 

27  19 

25  30 

10 

20 

57  03 

53  39 

50  25 

47  19 

44  23 

41  37 

39  00 

36  33 

34  15 

32  05 

3003 

28  09 

20 

30 

55  35 

52  32 

49  34 

46  45 

44  04 

41  29 

39  03 

36  44 

34  32 

32  27 

30  30 

30 

40 

60  02 

57  05 

54  12 

51  24 

48  41 

46  05 

43  34 

41  II 

3853 

36  40 

34  36 
30  25 

32  34 

40 

50 

61  00 

58  13 

55  29 

52  50 

50  14 

47  44 

45  19 

42  57 

40  42 

3830 

34  24 

50 

3 

OO 

61  38 

59  02 

56  29 

5358 

51  29 

49  05 

46  44 

44  27 

42  14 

40  05 

38  01 

36  01 

2    00 

lO 

62  04 

59  38 

57  13 

54  50 

52  29 

50  10 

47  54 

45  41 

43  32 

41  26 

39  23 

37  24 

10 

30 

62  19 

60  02 

57  44 

5528 

53  14 

51  02 

4851 

46  42 

44  36 

42  33 

40  33 

3835 

20 

30 

62  25 

60  16 

58  06 

55  57 

5348 

51  41 

49  36 

47  31 

45  30 

43  29 

41  32 

39  37 

30 

40 

62  26 

60  22 

58  18 

56  15 

54  13 

52  II 

50  10 

48  10 

46  12 

44  16 

42  21 

40  28 

40 

50 

62  19 

60  21 

58  24 

5626 

54  29 

52  32 

50  35 

48  40 

46  46 

44  53 

43  00 

41  II 

50 

3 

OO 

62  c6 

60  14 

58  23 

56  30 

54  37 

52  46 

50  53 

49  02 

47  12 

45  22 

43  33 

41  45 

3    00 

10 

61  49 

60  02 

58  16 

56  27 

5*  39 

52  52 

51  04 

49  17 

47  30 

45  44 

4358 

42  13 

10 

30 

61  28 

59  45 

5803 

56  19 

54  36 

52  52 

51  09 

49  25 

47  42 

45  58 

44  16 

42  34 

20 

30 

61  03 

59  25 

57  47 

5608 

54  29 

52  48 

51  oS 

49  28 

4748 

46  07 

44  28 

42  48 

30 

40 

60  35 

59  01 

57  27 

55  51 

54  16 

52  39 

51  02 

49  25 

47  49 

46  12 

44  34 

42  57 

40 

50 

60  04 

5833 

57  02 

55  30 

53  58 

52  26 

50  52 

49  18 

47  44 

46  10 

44  36 

43  02 

50 

4 

OO 

59  30 

58  03 

5636 

55  06 

53  37 

52  08 

50  38 

49  07 

47  36 

46  04 

44  33 

43  02 

4     00 

lO 

58  53 

57  29 

56  05 

54  39 

53  14 

51  47 

50  19 

4852 

47  23 

45  55 

44  25 

42  56 

10 

20 

58  15 

56  54 

55  32 

54  09 

52  46 

51  22 

49  58 

48  33 

47  °l 

45  41 

44  15 

42  48 

20 

30 

57  34 

56  15 

5456 

53  36 

52  16 

50  55 

49  33 

48  10 

46  48 

45  22 

44  00 

42  35 

30 

40 

56  51 

55  35 

54  19 

53  02 

51  43 

50  25 

49  05 

47  45 

46  24 

45  04 

43  41 

42  20 

40 

50 

5606 

54  52 

53  39 

52  23 

51  08 

49  52 

48  35 

47  17 

45  59 

44  40 

43  21 

42  00 

50 

5 

OO 

55  19 

54  08 

52  56 

51  43 

50  30 

4?  'f 

48  02 

46  45 

45  30 

44  14 

42  57 

41  39 

5     00 

10 

54  30 

53  22 

52  12 

51  01 

49  50 

4838 

47  26 

46  13 

44  59 

43  45 

42  30 

41  14 

10 

30 

53  40 

52  33 

51  26 

50  17 

49  07 

4758 

46  48 

45  37 

+4  25 

43  13 

42  00 

40  46 

20 

30 

52  47 

51  43 

5038 

49  30 

48  24 

47  if> 

46  07 

44  59 

43  50 

42  39 

41  28 

40  16 

30 

40 

51  53 

50  50 

49  47 

48  42 

4738 

46  31 

45  24 

44  18 

43  10 

42  02 

40  53 

39  43 

40 

50 

5058 

4958 

4856 

47  53 

46  49 

45  46 

44  41 

43  37 

42  30 

41  23 

40  16 

3908 

50 

6 

OO 

50  01 

49  02 

48  02 

47  01 

45  59 

44  57 

43  55 

42  52 

41  47 

40  42 

3938 

38  31 

6    00 

lO 

49  03 

48  05 

47  07 

46  07 

45  07 

44  07 

43  06 

42  05 

41  02 

40  00 

3857 

37  52 

10 

20 

48  03 

47  07 

46  10 

45  II 

44  15 

43  15 

42  16 

41  16 

40  16 

39  15 

38  14 

37  II 

20 

30 

47  01 

46  06 

45  13 

44  15 

43  19 

42  22 

41  24 

40  25 

39  28 

38  29 

37  28 

36  27 

30 

40 

45  57 

45  03 

44  11 

43  16 

42  21 

41  26 

40  31 

39  34 

38  37 

37  39 

36  42 

35  42 

40 

50. 

44  53 

44  01 

43  09 

42  10 

41  23 

40  29 

39  35 

3841 

37  45 

36  49 

35  53 

34  56 

50 

7 

OO 

43  46 

42  56 

42  06 

41  15 

40  23 

39  30 

3838 

37  45 

36  51 

35  57 

35  03 

34  06 

7     00 

lO 

42  38 

41  50 

41  01 

40  II 

39  20 

38  30 

37  39 

3648 

35  56 

35  04 

34  10 

33  16 

10 

20 

41  29 

40  42 

39  54 

39  06 

38  17 

37  29 

36  39 

35  49 

34  59 

34  08 

33  17 

32  24 

20 

30 

40  20 

39  32 

38  46 

38  00 

37  12 

36  25 

35  37 

34  48 

34  00 

33  II 

32  21 

31  31 

30 

40 

39  06 

38  21 

37  36 

36  51 

36  05 

35  19 

34  33 

33  47 

33  00 

32  13 

31  24 

30  35 

40 

50 

37  52 

37  09 

3626 

35  41 

34  57 

34  13 

33  29 

32  43 

31  58 

31  12 

30  25 

29  38 

50 

8 

OO 

36  35 

35  54 

35  12 

34  29 

33  47 

33  05 

32  22 

31  38 

30  54 

30  10 

29  25 

28  39 

8     00 

lO 

35  19 

3438 

3358 

33  17 

32  36 

31  56 

31  14 

30  32 

29  49 

29  06 

28  24 

27  40 

10 

20 

34  00 

33  22 

32  43 

32  03 

31  23 

30  44 

30  04 

29  24 

28  43 

28  02 

27  21 

26  39 

20 

30 

32  40 

32  03 

31  25 

30  47 

30  09 

29  32 

2853 

28  14 

27  35 

26  57 

26  16 

25  36 

30 

40 

31  18 

30  42 

30  07 

29  30 

28  54 

28  20 

27  41 

27  04 

26  26 

25  49 

25  10 

24  33 

40 

60 

29  54 

29  21 

28  47 

28  II 

27  38 

27  02 

26  27 

25  52 

25  16 

24  40 

24  04 

23  28 

50 

9 

OO 

28  30 

27  53 

27  25 

26  51 

26  19 

25  46 

25  12 

24  38 

24  04 

23  30 

22  56 

22  21 

9     00 

lO 

27  04 

26  33 

26  02 

25  30 

24  59 

24  27 

23  55 

23  24 

22  51 

22  19 

21  47 

21  14 

10 

20 

25  37 

25  08 

2438 

24  08 

23  38 

23  08 

22  39 

22  08 

21  38 

21  07 

20  36 

20  04 

20 

30 

24  08 

23  40 

23  12 

22  45 

22  19 

21  48 

21  20 

20  51 

20  23 

19  54 

19  25 

1855 

30 

40 

22  38 

22  12 

21  46 

21  19 

20  53 

20  26 

20  00 

1933 

19  06 

18  39 

18  12 

17  44 

40 

50 

21  06 

20  42 

20  18 

19  53 

19  28 

19  03 

18  39 

18  14 

17  49 

17  24 

16  59 

16  33 

50 

lO 

OO 

19  34 

19  12 

18  49 

18  26 

18  03 

17  40 

17  17 

16  54 

16  31 

16  07 

15  44 

15  19 

10     00 

10 

18  01 

17  40 

17  19 

16  57 

16  37 

16  15 

15  54 

15  33 

15  12 

14  50 

14  28 

14  06 

10 

20 

16  26 

16  07 

15  47 

15  28 

15  09 

14  50 

14  30 

14  ti 

13  51 

13  31 

13  12 

12  52 

20 

30 

14  40 

14  32 

14  17 

1358 

13  41 

13  23 

13  06 

12  49 

12  30 

12  13 

II  55 

II  37 

30 

40 

13  14 

12  58 

12  43 

12  27 

12  12 

II  56 

II  41 

II  25 

II  08 

10  52 

10  37 

10  21 

40 

50 

II  36 

II  23 

II  10 

10  56 

10  42 

10  28 

10  14 

10  01 

9  46 

9  33 

9  19 

9  04 

50 

11 

OO 

958, 

946 

936 

9  23 

9  II 

9  00 

8  48 

836 

8  24 

8  12 

8  00 

-  748 

11     00 

lO 

8  20 

8  10 

8  01 

7  50 

7  40 

7  30 

7  21 

7  II 

7  01 

651 

6  40 

6  30 

10 

20 

6  40 

633 

624 

6  16 

6  09 

6  01 

5  54 

5  46 

5  37 

5  29 

5  22 

5  13 

20 

30 

5  "I 

4  55 

4  49 

4  43 

4  37 

4  32 

4  25 

4  19 

4  12 

4  07 

4  01 

3  55 

30 

40 

3  20 

3  16 

3  13 

3  09 

3  05 

3  01 

2  57 

2  53 

2  49 

2  45 

2  41 

2  37 

40 

50 

I  41 

I  39 

136 

I  34 

I  33 

I  31 

I  28 

I  26 

I  25 

I  22 

I  21 

I  19 

50 

13  , 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  8onth  latitude,  when  the  star  is  ri.sing  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East,  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


172 


AZIMUTH  OR  TRUE  BEARING. 


liATITrDE  41°. 

DECI,INATION— SAME  NAME  AS- 

-I.ATITUDE. 

liATITUDE:  41°. 

Hour 

Angle. 

60C 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

68° 

70° 

Hour  Angle. 

li. 

m. 

o  r 

0  ' 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  r 

b.    m. 

O 

OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

3  49 

3  32 

3  16 

3  02 

2  48 

236 

2  24 

2  14 

2  04 

I  55 

I  46 

10 

20 

7  36 

7  02 

6  30 

6  01 

5  35 

5  10 

4  48 

4  26 

4  06 

3  48 

3  30 

20 

30 

II  15 

10  25 

938 

855 

8  17 

7  40 

708 

636 

6  98 

5  40 

5  14 

30 

40 

14  43 

13  39 

12  39 

II  45 

10  54 

10  08 

9  24 

8  44 

8  06 

7  29 

656 

40 

60 

17  59 

16  43 

15  32 

14  26 

13  25 

12  28 

II  35 

10  46 

10  00 

9  16 

835 

60 

1 

OO 

21  01 

19  34 

18  14 

16  59 

15  49 

14  44 

13  42 

12  45 

II  51 

10  59 

10  II 

1     00 

lO 

23  49 

22  13 

20  45 

19  23 

18  04 

16  51 

15  43 

14  37 

13  36 

12  39 

II  44 

10 

20 

26  21 

24  40 

23  04 

21  35 

20  II 

18  50 

17  35 

16  24 

15  17 

14  13 

13  13 

20 

30 

2837 

26  52 

25  12 

23  38 

22  07 

20-43 

19  22 

18  05 

16  53 

15  43 

14  37 

30 

40 

30  41 

28  52 

27  08 

25  30 

23  55 

22  26 

21  00 

19  39 

18  22 

17  08 

15  57 

40 

60 

32  29 

30  39 

28  52 

27  10 

25  33 

24  01 

22  32 

21  06 

19  45 

18  27 

17  12 

60 

2 

OO 

34  05 

32  14 

30  26 

28  43 

27  02 

25  28 

23  55 

22  27 

21  02 

19  41 

18  22 

2     00 

lO 

35  28 

33  37 

31  48 

.30  04 

28  23 

26  46 

25  12 

23  41 

22  14 

20  49 

19  28 

10 

20 

36  42 

34  50 

33  02 

31  17 

29  35 

27  57 

26  21 

24  49 

23  20 

21  53 

20  29 

20 

30 

37  47 

35  53 

34  07 

32  21 

30  39 

29  01 

27  24 

25  49 

24  19 

22  50 

21  24 

30 

40 

38  37 

36  49 

35  03 

33  19 

31  36 

29  57 

28  19 

26  45 

25  13 

23  43 

22  15 

40 

SO 

39  22 

37  36 

35  50 

34  07 

32  25 

30  46 

29  09 

27  33 

26  01 

24  29 

23  01 

50 

3 

OO 

39  59 

38  14 

36  30 

34  47 

33  08 

31  29 

29  52 

28  16 

26  43 

25  13 

23  43 

3     00 

10 

40  28 

3845 

37  04 

35  23 

33  43 

32  06 

30  30 

28  54 

27  21 

25  50 

24  20 

10 

20 

40  51 

39  II 

37  31 

35  52 

34  14 

32  38 

31  02 

29  27 

27  54 

26  23 

24  53 

20 

30 

41  09 

39  30 

37  52 

36  15 

34  39 

33  03 

31  29 

29  55 

28  23 

26  52 

25  22 

30 

40 

41  21 

39  45 

38  09 

3633 

3458 

33  24 

31  51 

30  18 

28  47 

27  16 

25  46 

40 

50 

41  27 

39  54 

38  20 

36  46 

35  II 

33  40 

32  08 

30  36 

29  06 

27  36 

26  06 

50 

4 

OO 

4-  30 

39  58 

38  27 

36  54 

35  23 

33  52 

32  22 

30  51 

29  21 

27  52 

26  23 

4     00 

lO 

41  27 

3958 

38  28 

36  59 

35  29 

34  00 

32  30 

31  01 

29  33 

28  04 

26  37 

10 

20 

41  21 

39  M 

38  26 

3658 

35  30 

34  03 

32  35 

31  07 

29  40 

28  13 

26  47 

20 

30 

41  II 

39  46 

38  20 

36  55 

35  28 

34  03 

32  37 

31  II 

29  44 

28  18 

26  53 

30 

40 

40  57 

39  34 

38  12 

36  47 

35  23 

33  59 

32  35 

31  09 

29  45 

28  21 

2656 

40 

50 

40  41 

39  20 

3758 

3636 

35  14 

33  52 

32  29 

31  06 

29  43 

28  20 

26  56 

50 

5 

OO 

40  20 

39  01 

37  42 

36  22 

35  02 

33  42 

32  21 

30  59 

29  38 

28  16 

26  54 

5     00 

lO 

39  57 

38  41 

37  24 

36  05 

34  47 

33  29 

32  10 

30  49 

29  30 

28  10 

26  48 

10 

20 

39  32 

38  18 

37  03 

35  46 

34  28 

33  12 

31  55 

30  37 

29  18 

28  00 

26  41 

20 

30 

39  04 

37  51 

36  37 

35  23 

34  08 

32  54 

31  38 

30  21 

29  04 

27  48 

26  30 

30 

40 

38  33 

37  23 

36  II 

34  59 

33  45 

32  33 

31  19 

30  04 

28  49 

27  33 

26  17 

40 

50 

38  00 

36  51 

35  42 

34  30 

33  20 

32  09 

30  57 

29  43 

28  30 

27  16 

26  03 

50 

6 

OO 

37  25 

36  18 

35  10 

34  02 

32  52 

31  43 

30  32 

29  21 

28  10 

2658 

25  44 

6     00 

lO 

36  47 

35  42 

34  37 

33  29 

32  22 

31  14 

30  06 

28  56 

27  46 

2636 

25  25 

10 

20 

36  08 

35  04 

34  01 

32  56 

31  49 

3043 

29  38 

28  30 

27  22 

26  13 

25  04 

20 

30 

35  27 

34  25 

33  23 

32  19 

31  15 

30  11 

29  06 

28  01 

26  55 

25  47 

24  40 

30 

40 

34  43 

33  44 

32  43 

31  41 

30  39 

29  37 

28  34 

27  31 

26  26 

25  20 

24  14 

40 

50 

33  58 

33  00 

32  02 

31  02 

30  01 

29  OI 

27  59 

26  57 

25  54 

24  51 

23  47 

50 

7 

OO 

33  II 

32  15 

31  18 

30  19 

29  21 

28  23 

27  23 

26  22 

25  21 

24  20 

23  18 

7     00 

lO 

32  23 

31  28 

30  32 

29  36 

28  40 

27  42 

26  45 

25  47 

24  47 

23  47 

22  46 

10 

ao 

31  32 

30  39 

29  46 

28  51 

27  56 

27  01 

26  04 

25  08 

24  II 

23  13 

22  14 

20 

30 

30  40 

29  49 

2857 

28  05 

27  II 

26  18 

25  24 

24  28 

23  33 

22  38 

21  41 

30 

40 

2946 

28  57 

28  07 

27  16 

26  25 

25  33 

24  41 

23  48 

22  54 

22  00 

21  05 

40 

50 

28  51 

28  04 

27  16 

26  26 

25  36 

24  48 

23  57 

23  05 

22  13 

21  21' 

20  28 

50 

8 

OO 

27  54 

27  09 

26  22 

25  34 

24  46 

23  59 

23  10 

22  21 

21  31 

20  41 

19  49 

8     00 

lO 

26  57 

26  12 

25  28 

24  42 

23  56 

23  10 

22  23 

21  35 

20  48 

19  59 

19  10 

10 

20 

25  57 

25  14 

24  32 

2348 

23  03 

22  19 

21  35 

,  20  49 

20  03 

19  16 

18  29 

20 

30 

24  57 

24  15 

23  34 

22  53 

22  10 

21  28 

20  45 

20  01 

19  17 

18  32 

17  47 

30 

40 

23  54 

23  15 

22  36 

21  56 

21  15 

20  35 

19  53 

19  12 

18  30 

17  47 

17  04 

40 

50 

22  51 

22  13 

21  36 

20  58 

20  19 

19  41 

19  01 

18  21 

17  41 

17  01 

16  19 

50 

9 

OO 

21  46 

21  10 

20  35 

1958 

19  22 

1845 

18  08 

17  29 

16  52 

16  13 

15  34 

9     00 

lO 

20  40 

20  06 

'9  33 

1858 

18  23 

17  49 

17  14 

16  38 

16  02 

15  25 

14  48 

10 

20 

19  33 

19  02 

18  30 

17  57 

17  24 

16  52 

16  18 

15  44 

15  10 

14  35 

14  01 

20 

30 

18  25 

17  55 

17  24 

16  55 

16  24 

15  54 

15  21 

14  50 

14  18 

13  45 

13  12 

30 

40 

17  16 

16  49 

16  21 

15  51 

15  23 

14  54 

14  25 

13  54 

13  25 

12  55 

12  23 

40 

50 

16  06 

15  40 

15  14 

14  48 

14  21 

13  54 

13  27 

12  58 

12  30 

12  02 

II  33 

50 

lO 

OO 

14  55 

14  32 

14  08 

13  43 

13  18 

12  53 

12  28 

12  02 

11  36 

II  10 

10  43 

10   00 

lO 

13  44 

13  22 

12  59 

12  37 

12  15 

II  51 

II  28 

II  04 

10  39 

10  16 

9  52 

10 

20 

12  32 

12  12 

II  51 

II  30 

II  10 

10  49 

10  27 

10  06 

9  44 

9  22 

9  CO 

20 

30 

11  19 

II  00 

10  42 

10  23 

10  04 

946 

9  27 

9  07 

848 

8  27 

8  07 

30 

40 

10  04 

9  49 

9  33 

9  15 

8  59 

8  42 

8  25 

8  07 

7  50 

7  33 

7  15 

40 

50 

851 

8  36 

8  22 

8  07 

7  53 

738 

7  23 

7  07 

653 

637 

6  21 

50 

11 

OO 

736 

7  23 

7  12 

6  59 

6  46 

6  34 

6  20 

6  07 

5  54 

5  41 

.  5  27 

11     00 

lO 

6  20 

6  10 

6  00 

5  49 

5  39 

528 

5  18 

5  07 

4  56 

444 

4  33 

10 

20 

5  05 

4  57 

4  48 

4  40 

4  31 

4  23 

4  15 

4  06 

3  57 

3  48 

3  39 

20 

30 

3  48 

3  43 

3  36 

3  30 

3  24 

3  17 

3  II 

3  05 

258 

2  51 

2  45 

30 

40 

2  33 

2  28 

2  24 

2  20 

2  16 

2  12 

2  07 

2  03 

I  59 

1  55 

I  50 

40 

50 

I  17 

I  14 

I  12 

I  10 

I  08 

I  06 

I  04 

I  02 

I  00 

0  57 

0  55 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


173 


AZIMUTH  OR  TRUE  BEARING. 


I^ATITUDE  42°. 

DECLINATION- 

-SAME  NAME  AS-LATITUDE. 

I^ATITUDE  42°. 

Hour  An 

gle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

h. 

iii« 

o   / 

0  ' 

0  t 

0  t 

0  1 

0  / 

0  / 

0  / 

0  1 

0  / 

0  1 

0  ' 

ll.      lU. 

0 

OO 

i8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

172  39 

172  17 

171  54 

171  26 

170  56 

170  21 

169  41 

16853 

167  56 

166  47 

165  23 

163  35 

10 

20 

165  26 

164  46 

164  00 

163  09 

162  12 

161  06 

159  51  ' 

158  23 

156  41 

154  39 

152  14 

149  12 

20 

30 

158  34 

157  36 

156  33 

155  23 

154  03 

152  34 

150  53  ' 

148  56 

146  45 

144  II 

141  10 

13738 

30 

40 

152  06 

150  56 

149  38 

148  13 

146  38 

144  53 

142  55 

140  44 

138  15 

135  27 

132  15 

128  36 

40 

50 

146  08 

144  47 

143  21 

141  45 

140  01 

138  07 

136  01 

133  41 

'31  07 

r28  15 

125  05 

121  34 

50 

1 

OO 

140  38 

139  12 

137  39 

135  58 

134  09 

132  10 

130  01 

127  42 

125  07 

122  19 

119  16 

115  57 

1     00 

lO 

135  37 

134  07 

132  31 

130  47 

128  56 

126  57 

124  48 

122  31 

120  01 

117  21 

114  28 

III  24 

10 

20 

131  04 

129  32 

127  55 

126  II 

124  21 

122  23 

120  17 

118  03 

115  40 

113  09 

no  27 

107  36 

20 

30 

126  53 

125  22 

123  45 

122  02 

120  14 

118  19 

116  18 

114  09 

III  54 

109  30 

107  00 

104  21 

30 

40 

123  06 

121  35 

120  00 

118  19 

116  34 

114  43 

112  46 

no  43 

108  35 

106  19 

103  58 

loi  31 

40 

50 

119  38 

118  08 

116  35 

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113  15 

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109  36 

107  40 

105  37 

103  30 

loi  18 

99  00 

50 

2 

OO 

116  26 

114  59 

113  28 

lit  53 

no  14 

108  31 

106  45 

104  53 

102  58 

100  57 

98  54 

96  45 

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112  04 

110  36 

109  04 

107  29 

105  50 

104  08 

102  22 

100  33 

98  40 

96  42 

94  41 

10 

ao 

no  44 

109  22 

107  56 

106  27 

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103  21 

loi  44 

100  03 

98  19 

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94  40 

92  47 

20 

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105  28 

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94  32 

92  47 

91  00 

30 

40 

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104  29 

103  09 

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100  21 

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97  24 

95  52 

94  17 

92  40 

91  00 

89  19 

40 

50 

103  31 

102  15 

100  58 

99  39 

98  16 

96  53 

95  27 

9358 

92  28 

90  55 

89  20 

87  43 

50 

3 

OO 

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100  09 

98  54 

97  37 

96  17 

94  58 

93  34 

92  10 

90  43 

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&7  44 

86  11 

3     00 

10 

99  20 

9808 

9656 

95  41 

94  25 

93  07 

91  47 

90  26 

89  03 

8738 

86  II 

8442 

10 

20 

97  23 

96  14 

95  03 

93  51 

92  37 

91  21 

90  04 

88  47 

87  36 

86  04 

84  42 

83  17 

20 

30 

95  30 

94  23 

93  14 

92  04 

90  53 

89  40 

88  26 

87  10 

85  53 

8435 

83  15 

81  52 

30 

40 

93  42 

92  36 

91  30 

90  21 

89  12 

88  02 

86  50 

85  37 

84  22 

83  07 

81  50 

80  32 

40 

50 

91  57 

90  53 

89  48 

88  42 

87  35 

86  26 

85  17 

84  06 

82  55 

81  42 

80  28 

79  13 

50 

4 

OO 

90  15 

89  13 

88  10 

87  05 

86  00 

84  54 

8347 

82  38 

81  28 

80  18 

79  06 

77  54 

4     00 

lO 

88  35 

87  34 

8633 

85  31 

84  27 

83  22 

82  17 

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80  04 

78  55. 

77  46 

7636 

10 

20 

8658 

85  59 

84  59 

83  58 

82  56 

81  54 

80  50 

79  45 

78  40 

77  34 

76  27 

75  19 

20 

30 

85  21 

84  24 

83  27 

82  27 

81  26 

80  25 

79  24 

78  21 

77  18 

76  13 

7508 

74  03 

30 

40 

8348 

82  51 

81  55 

8057 

7958 

7859 

77  58 

7658 

75  56 

74  53 

73  50 

72  46 

40 

50 

82  15 

81  iO 

80  25 

79  28^ 

78  30 

77  32 

76  34 

75  34 

74  34 

.  73  34 

72  32 

71  31 

50 

5 

OO 

80  44 

79  49 

78  54 

77  59 

77  03 

76  06 

75  09 

74  12 

73  13 

72  15 

71  15 

70  15 
6858 

5    00 

lO 

79  13 

78  19 

77  26 

76  32 

75  37 

74  42 

73  46 

72  50 

71  53 

r^i 

69  57 

10 

20 

77  42 

76  50 

75  58 

75  05 

74  II 

73  17 

72  22 

71  27 

70  32 

69  36 

68  39 

6742 

20 

30 

76  II 

75  22 

74  29 

73  37 

72  46 

71  53 

70  59 

70  05 

69  II 

68  i6- 

67  21 

66  25 

*  30 

40 

74  41 

73  52 

73  01 

72  10 

71  19 

70  28 

69  35 

6843 

67  30 

66  56 

66  01 

65  07 

40 

50 

73  II 

72  22 

71  33 

70  41 

69  53 

69  02 

68  II 

67  20 

66  28 

6536 

64  43 

63  50 

50 

6 

OO 

71  42 

70  53 

70  05 

69  16 

68  27 

67  37 

6647 

6556 

65  05 

64  15 

63  23 

62  31 

6     00 

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70  10 

69  23 

68  36 

67  47 

6659 

66  10 

65  21 

64  32 

63  42 

62  52 

62  02 

61  II 

10 

20 

68  40 

67  54 

67  07 

66  20 

65  32 

64  44 

6356 

63  08 

62  19 

61  31 

60  41 

59  51 

20 

30 

67  07 

66  21 

6536 

64  49 

64  03 

63  16 

62  29 

61  42 

60  55 

60  06 

59  19 

58  30 

SO 

40 

65  35 

64  50 

64  05 

63  19 

62  34 

61  47 

61  02 

60  16 

59  29 
58  02 

5843 

57  55 

57  08 

40 

50 

64  01 

63  17 

62  32 

61  49 

61  04 

60  18 

59  33 

5848 

57  17 

56  31 

55  44 

50 

7 

OO 

62  27 

61  44 

61  00 

60  16 

59  32 

58  47 

58  04 

57  19 

56  34 

55  50 

55  04 

54  20 

7     00 

lO 

60  50 

60  07 

59  25 

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57  59 

57  15 

56  33 

55  49 

55  05 

54  22 

5338 

52  54 

10 

20 

59  13 

5830 

57  50 

57  07 

56  25 

55  43 

55  01 

54  17 

53  34 

52  53 

52  09 

51  27 

20 

30 

57  34 

56  53 

56  12 

55  31 

54  50 

54  o3 

53  27 

52  45 

52  03 

51  22 

50  39 

''l^l 

30 

40 

55  54 

55  14 

54  33 

53  53 

53  13 

52  32 

51  51 

51  II 

50  30 

49  49 

49  09 

48  28 

40 

50 

54  II 

53  32 

52  53 

52  13 

51  34 

50  54 

50  15 

49  35 

4855 

48  16 

47  36 

46  56 

50 

8 

OO 

52  28 

51  49 

51  10 

50  31 

49  53 

49  14 

4836 

47  57 

47  18 

46  40 

46  01 

45  23 

8     00 

lO 

50  42 

50  04 

49  27 

48  49 

48  II 

47  33 

46  55 

46  18 

45  39 

45  03 

44  25 

43  48 

10 

20 

48  54 

48  17 

47  40 

47  04 

46  27 

45  51 

45  14 

44  37 

44  00 

43  24 

42  47 

42  11 

20 

30 

47  03 

46  28 

45  52 

45  13 

44  39 

44  04 

43  30 

42  54 

42  18 

41  44 

41  08 

40  32 

30 

40 

45  11 

44  36 

44  02 

43  27 

42  52 

42  18 

41  43 

41  09 

40  35 

40  00 

39  27 

38  52 

40 

50 

43  17 

42  43 

42  ID 

41  36 

41  02 

40  28 

39  55 

39  2S 

38  49 

38  16 

37  43 

37  II 

50 

9 

OO 

41  20 

40  47 

40  15 

39  42 

39  10 

3837 

38  05 

37  34 

37  01 

36  30 

35  58 

35  27 

9     00 

lO 

39  20 

38  49 

38  17 

37  46 

37  15 

36  44 

36  14 

35  42 

35  12 

34  42 

34  II 

33  41 

10 

20 

37  19 

3648 

36  18 

3548 

35  18 

34  49 

34  20 

33  50 

33  21 

32  52 

32  23 

31  54 

20 

30 

35  14 

34  46 

34  17 

3348 

33  19 

32  51 

32  23 

31  55 

31  27 

31  00 

30  32 

30  05 

30 

40 

3308 

32  40 

32  13 

31  46 

31  18 

30  52 

30  25 

2958 

29  31 

29  06 

28  40 

28  14 

40 

50 

30  59 

30  32 

30  06 

29  41 

29  15 

28  49 

28  24 

27  59 

27  34 

27  10 

26  46 

26  21 

50 

lO 

OO 

2847 

28  22 

2758 

27  34 

27  10 

26  46 

26"  22 

25  59 

25  36 

25  13 

24  50 

24  27 

10     00 

10 

26  33 

26  09 

25  47 

25  24 

25  02 

24  40 

24  18 

23  56 

23  35 

23  13 

22  53 

22  31 

10 

20 

24  16 

23  54 

23  34 

23  14 

22  53 

22  32 

22  12 

21  52 

.21  32 

21  12 

20  54 

20  34 

20 

30 

21  58 

21  38 

21  19 

21  00 

20  42 

20  23 

20  04 

19  47 

19  28 

19  II 

1853 

18  35 

30 

40 

19  37 

19  20 

19  02 

18  45 

18  28 

18  II 

17  55 

1738 

17  22 

17  07 

16  51 

16  34 

40 

50 

17  15 

16  59 

16  44 

16  29 

16  14 

15  59 

15  44 

15  30 

15  16 

15  01 

14  47 

14  33 

50 

11 

OO 

14  50 

14  36 

14  23 

14  II 

13  57 

13  45 

13  31 

13  19 

13  06 

12  55 

12  42 

12  30 

11     00 

10 

12  24 

12  13 

12  02 

II  51 

II  40 

II  29 

II  19 

11  08 

10  58 

10  47 

10  37 

10  17 

10 

20 

9  57 

9  48 

9  39 

9  31 

9  22 

9  13 

9  04 

859 

8  46 

8  39 

831 

8  22 

20 

30 

7  29 

7  22 

7  15 

7  09 

7  02 

655 

6  49 

6  43 

636 

6  30 

6  24 

6  18 

30 

40 

5  00 

4  55 

4  50 

4  46 

4  41 

4  37 

4  33 

4  29 

4  24 

4  20 

4  16 

4  12 

40  . 

50 

2  30 

2  27 

2  25 

2  23 

2  21 

2  18 

2  16 

2  14 

2  12 

2  10 

2  08 

2  06 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


1T4 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDC:  42°. 

DECLINATION- 

-SAME  NAME  AS— I,ATITUDE. 

I^ATITUDE  42°. 

Hoar 

Angle. 

36° 

370 

38°: 

390 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

b. 

m. 

0   ' 

0  1 

0  ' 

0  ' 

0  / 

0  . 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  1 

li.    m. 

O 

OO 

l8o  OO 

180  00 

180  00 

180  00 

i8o  CO 

180  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

i6i  i6 

158  06 

153  36 

146  50 

135  51 

117  16 

89  10 

60  41 

41  35 

30  18 

23  21 

18  45 

10 

20 

145  28 

140  43 

134  37 

126  38 

116  17 

103  17 

88  20 

73  09 

5938 

48  43 

40  15 

33  46 

20 

30 

I3i  25 

128  24 

122  23 

115  17 

106  58 

97  36 

ll^"^ 

77  14 

67  25 

5835 

50  53 

44  21 

30 

40 

124  26 

119  41 

114  16 

Io8  II 

loi  31 

94  16 

8639 

7855 

71  19 

64  08 

57  31 

51  32 

40 

50 

"7  39 

113  19 

108  33 

103  23 

97  48 

91  55 

85  49 

79  36 

73  26 

67  27 

61  46 

56  25 

50 

1 

OO 

112  21 

108  26 

104  15 

99  46 

95  02 

22  °4 

8458 

79  47 

74  35 

69  29 

64  32 

59  48 

1    00 

lO 

108  06 

104  34 

100  50 

96  53 

92  47 

88  31 

84  07 

79  40 

75  II 

70  45 

66  25 

62  10 

10 

20 

104  34 

loi  23 

98  01 

94  31 

90  52 

87  07 

83  16 

79  22 

75  27 

71  31 

6738 

63  49 

20 

30 

loi  33 

9839 

95  36 

92  27 

89  12 

85  50 

82  25 

7857 

75  25 

71  55 

68  26 

6458 

30 

40 

9857 

9616 

93  30 

isg 

87  40 

84  39 

81  34 

78  26 

75  15 

72  04 

6854 

65  44 

40  1 

50 

96  37 

94  09 

91  36 

86  17 

83  32 

80  42 

77  51 

74  59 

72  03 

69  08 

66  14 

50  i 

2 

OO 

94  31 

92  14 

89  52 

87  27 

84  58 

82  25 

79  50 

77  12 

74  33 

71  53 

69  II 

6630 

2    00 

lO 

92  37 

90  28 

88  16 

86  01 

83  42 

81  21 

7858 

76  32 

74  04 

71  36 

6906 

6636 

10 

20 

90  49 

88  49 

8645 

84  40 

82  31 

80  19 

7805 

75  50 

73  32 

71  13 

68  47 

6633 

20 

30 

89  08 

87  15 

85  20 

83  21 

81  21 

79  19 

77  12 

75  05 

72  57 

70  47 

6835 

6623 

30 

40 

87  34 

85  47 

8357 

82  07 

80  12 

78  16 

76  19 

74  19 

72  18 

70  16 

68  13 

66  08 

40 

50 

86  04 

84  22 

82  38 

8053 

79  05 

77  16 

75  25 

73  32 

71  38 

69  43 

67  45 

6548 

50 

3 

OO 

8436 

83  00 

81  22 

79  42 

78  00 

76  16 

74  31 

72  44 

70  55 

69  o6" 

67  15- 

65  24 

3     00 

lO 

83  12 

81  40 

80  07 

78  31 

76  54 

75  16 

73  36 

71  55 

70  II 

68  28 

66  41 

6455 

10 

20 

81  SI 

80  23 

7853 

77  22 

75  49 

74  16 

72  40 

71  04 

69  25 

67  47 

66  06 

64  25 

20 

30 

So  31 

79  06 

77  41 

76  14 

74  45 

73  15 

71  44 

70  II 

68  38 

67  04 

65  28 

63  51 

30 

40 

79  12 

77  52 

76  29 

75  06 

73  41 

72  15 

7048 

69  19 

67  49 

66  19 

64  47 

63  14 

40 

50 

77  56 

7638 

75  19 

73  58 

72  37 

71  14 

69  50 

68  26 

67  00 

65  32 

64  04 

62  35 

50 

4 

00 

76  39 

75  25 

74  09 

72  52 

71  33 

70  13 

6853 

67  31 

66  08 

64  45 

63  20 

61  54 

4     00 

10 

75  24 

74  II 

72  58 

71  44 

70  28 

69  12 

67  54 

6635 

65  16 

63  55 

6^34 

61  11 

10 

20 

74  =9 

72  59 

71  48 

70  37 

69  24 

6S  10 

6655 

65  39 

64  22 

63  05 

61  46 

60  26 

20 

30 

72  55 

71  47 

7038 

69  32 

68  19 

67  07 

65  55 

64  41 

63  27 

62  13 

6056 

59  39 

30 

40 

71  41 

70  35 

69  28 

68  22 

67  13 

66  04 

64  54 

63  43 

62  31 

61  19 

60  05 

58  50 

40 

50 

7c  27 

69  24 

68  18 

67  13 

66  08 

65  00 

63  52 

62  44 

61  3^ 

60  24 

59  13 

58  01 

60 

5 

OO 

69  12 

68  II 

67  08 

66  05 

65  00 

63  55 

62  49 

61  43 

6035 

59  27 

58  18 

57  09 

5     00 

10 

6758 

6658 

65  57 

64  55 

63  53 

62  50 

61  46 

60  41 

58  31 

57  22 

56  16 

10 

20 

6643 

65  44 

64  45 

63  46 

62  45 

61  44 

60  40 

59  39 

58  35 

57  31 

5626 

55  21 

20 

• 

30 

65  27 

64  30 

,  63  32 

62  35 

61  36 

60  36 

5936 

58  35 

57  34 

56  32 

55  28 

54  25 

30 

40 

64  11 

63  16 

62  20 

61  23 

60  26 

59  28 

58  29 

57-  30 

56  29 

55  30 

5428 

53  27 

•   40 

50 

62  55 

62  02 

61  06 

60  12 

59  15 

58  19 

57  22 

56  25 

55  25 

54  27 

53  28 

52  28 

50 

6 

OO 

61  38 

60  45 

59  51 

5858 

5803 

5708 

56  13 

55  16 

54  21 

53  23 

52  25 

51  26 

6    00 

lO 

60  19 

5928 

5836 

57  43 

56  50 

55  57 

55  03 

5408 

53  13 

52  20 

51  21 

50  25 

10 

20 

59  01 

58  II 

57  19 

5628 

55  37 

54  45 

■  53  52 

52  59 

52  05 

51  II 

50  16 

49  22 

'20 

30 

57  41 

56  52 

56  01 

55  13 

54  22 

53  30 

52  39 

51  47 

50  55 

50  03 

49  10 

48  16 

30 

40 

56  20 

55  32 

54  42 

53  54 

53  06 

52  16 

51  26 

50  36 

49  45 

48  54 

48  01 

47  10 

40 

50 

54  58 

54  II 

53  23 

52  36 

51  48 

50  59 

50  II 

49  23 

48  33 

47  43 

46  52 

46  01 

50 

7 

OO 

53  33 

52  48 

52  02 

51  16 

50  29 

49  42 

48  55 

48  07 

47  19 

46  31 

45  42 

44  53 

7     00 

lO 

52  09 

51  24 

50  39 

49  55 

49  09 

48  22 

47  37 

46  50 

46  04 

45  17 

44  30 

43  42 

10 

20 

50  43 

49  59 

49  16 

48  32 

47  46 

47  03 

46  18 

45  33 

44  48 

44  02 

43  15 

42  29 

20 

30 

49  15 

4833 

47  51 

47  08 

46  24 

45  41 

44  58 

44  14 

43  29 

42  46 

42  01 

41  16 

30 

40 

47  46 

47  05 

46  23 

45  43 

44  59 

44  18 

43  36 

42  53 

42  II 

41  28 

40  44 

40  00 

40 

50 

46  16 

45  36 

44  55 

44  15 

43  34 

42  54 

42  12 

41  31 

40  49 

40  08 

39  26 

38  44 

50 

8 

OO 

44  43 

44  04 

43  24 

42  46 

42  07 

41  27 

40  47 

40  07 

39  27 

3847 

38  06 

37  26 

8     00 

lO 

43  10 

42  32 

41  54 

41  16 

40  38 

39  59 

39  21 

3843 

38  04 

37  25 

36  46 

36  06 

10 

20 

41  33 

40  57 

40  21 

39  45 

3908 

38  30 

37  53 

37  16 

3638 

36  01 

35  23 

3446 

20  i 

30 

39  57 

39  22 

3846 

38  10 

37  35 

36  59 

36  24 

3548 

35  II 

34  36 

33  59 

33  22 

30 

40 

38  18 

37  44 

37  09 

3636 

36  01 

35  27 

34  52 

34  18 

33  43 

33  09 

32  33 

31  59 

40 

50 

36  37 

36  04 

35  31 

34  59 

34  26 

33  53 

33  20 

32  47 

32  13 

31  40 

31  06 

30  33 

50 

0 

OO 

35  55 

34  23 

33  52 

33  21 

32  49 

32  17 

31  45 

31  14 

30  42 

30  II 

29  39 

29  06 

9     00 

10 

33  II 

32  41 

32  10 

31  41 

31  10 

30  40 

30  10 

29  39 

29  09 

2839 

28  08 

27  38 

10 

20 

31  25 

.  30  56 

30  27 

29  59 

29  30 

29  02 

28  33 

28  04 

27  35 

27  07 

26  37 

26  09 

20 

30 

29  37 

29  10 

28  42 

28  lb 

2748 

27  21 

26  54 

26  27 

25  59 

25  33 

25  05 

2438 

30 

40 

2748 

27  22 

26  56 

26  31 

26  05 

25  40 

25  14 

24  48 

24  22 

23  57 

23  31 

23  06 

40 

50 

25  56 

25  33 

25  09 

24  44 

24  20 

23  57 

23  32 

2308 

22  44 

22  21 

21  56 

21  33 

50 

lO 

OO 

24  04 

23  42 

23  19 

22  57 

22  34 

22  12 

21  50 

2127 

21  05 

20  43 

20  20 

1958 

10   00 

lO 

22  10 

21  48 

21  27 

21  07 

20  46 

20  26 

20  05 

19  44 

19  24 

19  03 

18  42 

18  23 

10 

20 

20  14 

19  55 

19  36 

19  17 

18  58 

18  39 

18  20 

18  01 

17  42 

17  23 

17  04 

16  45 

20 

30 

18  17 

18  00 

17  42 

17  26 

1708 

16  51 

16  33 

16  16 

15  59 

15  42 

15  25 

15  08 

30 

40 

16  19 

16  03 

15  47 

15  32 

15  16 

15  01 

14  46 

14  31 

14  16 

14  00 

13  45 

13  29 

40 

50 

14  19 

14  06 

13  51 

13  38 

13  24 

13  II 

12  57 

12  <4 

12  31 

12  17 

12  03 

II  50 

50 

-  11 

OO 

12  34 

12  07 

II  55 

It  43 

II  31 

II  19 

II  08 

10  57 

10  45 

10  33 

10  21 

10  10 

11     00 

10 

10  17 

10  08 

9  57 

9  47 

938 

9  27 

9  18 

9  08 

8  58 

8  49 

839 

8  29 

10 

20 

8  14 

8  07 

7  59 

7  50 

7  43 

7  35 

7  27 

7  19 

7  12 

7  04 

6  56 

6  49 

20 

30 

6  II 

6  06 

5  59 

5  54 

5  47 

5-42 

536 

5  29 

5  24 

5  18 

5  12 

5  07 

30 

40 

4  08 

4  04 

4  CO 

356 

3  52 

3  48 

3  44 

3  40 

336 

3  33 

3  29 

3  25 

40 

50 

2  04 

2  02 

2  00 

I  58 

I  56 

I  54 

I  52 

I  50 

I  48 

I  46 

I  44 

I  42 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  \orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


175 


AZIMUTH  OR  TRUE  BEARING. 


liATITlIDE   42^^ 


DECLINATION— SAME  NAME  AS— IvATlTUDE. 


liATITUDE:  42°. 


Hour  Angle. 


O 


lO 


11 


12 


lU. 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
SO 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


48° 


49° 


O   00 

15  33 

28  46 

38  53 

46  13 

51  31 

55  19 

58  06 

60  07 

61  35 

62  37 

63  21 

63  49 

64  05 
64  12 
64  II 
64  03 
63  49 

63  31 
63  09 
62  43 
62  13 
61  41 
61  05 

60  28 

59  48 
59  05 
58  22 
57  36 
5648 

5558 
55  07 
54  15 
53  21 

52  24 
51  27 

50  28 
49  27 
48  25 

47  22 
46  17 
45  II 

44  03 
42  54 
41  43 
40  30 

39  17 
38  02 

36  45 
35  27 
34  07 
32  46 
31  23 

29  59 

2834 
27  07 
25  39 
24  II 
22  40 
21  08 

19  36 
18  02 
i5  27 
14  50 
13  14 
"  37 

9  59 
8  21 
6  41 
5  01 
3  21 
I  40 
o  00 


o  00 

13  10 

24  50 
34  17 

41  33 

47  02 

51  09 

54  13 

56  32 

58  16 

59  33 

60  29 

61  10 
61  36 
61  51 
61  59 
61  58 
61  50 

61  38 
61  21 
60  59 
60  34 
60  06 
59  35 

59  00 

58  23 

57  44 
57  03 
56  20 

55  35 

54  47 
53  58 
53  07 

52  16 
51  21 
50  26 

49  28 

48  30 
47  29 
46  28 
45  24 
44  19 

43  14 

42  06 
40  56 
39  45 
38  33 
37  19 

36  03 
34  47 
33  29 
32  09 
30  48 
29  26 

28  02 
26  37 

25  11 
23  43 
22  15 
20  44 

19  14 
17  41 
16  08 

14  33 
12  59 
II  23 

9  47 
8  II 
6  33 
4  55 
3  17 
I  38 
o  00 


50° 


o  00 

11  22 
21  42 

30  26 

37  27 

42  58 

47  15 

50  33 

53  09 

55  03 

56  33 

57  40 

58  31 

59  07 
59  31 
59  46 
59  52 
59  51 

59  44 
59  32 
59  16 
5854 
5830 
58  03 

57  32 
5658 
56  22 
55  43 
55  02 

54  20 

53  35 
52  48 
52  00 

51  09 
50  17 
49  24 

48  28 
47  31 
46  33 
45  32 
44  30 

43  28 

42  22 
41  16 
40  08 

38  59 

36  36 

35  21 
34  06 
32  49 

31  32 
30  12 
28  51 

27  29 
26  06 
24  41 
23  15 
21  48 
20  19 

18  51 
17  20 

15  49 
14  16 

12  43 
II  10 

9  35 
8  00 
6  25 
4  50 
3  13 
I  36 
o  00 


51° 


o  00 

9  56 
19  09 

27  10 

33  52 

39  18 

43  39 

47  06 

49  48 

51  57 
5338 

54  55 

55  56 

56  41 

57  13 
57  34 
57  47 
57  52 

57  51 
57  44 
57  31 
57  15 
56  54 
56  30 

56  03 
.55  33 
54  59 
54  23 
53  45 
53  05 

52  23 
51  38 

50  52 
50  03 
49  13 

48  22 

47  28 
46  32 
45  35 

44  36 
43  36 
42  34 

41  31 

40  26 
39  20 
38  13 
37  03 
35  52 

34  40 
33  26 
32  II 
30  55 
29  36 

28  18 

26  57 

25  35 
24  12 
22  48 
21  23 
19  56 

18  28 
16  59 
15  30 
13  59 
12  28 

10  57 

9  24 
7  51 
617 
4  43 
3  09 
I  34 
o  00 


52° 

53° 

0  / 

0  / 

0  00 

0  00 

8  46 

7  49 

17  02 

15  15 

24  24 

22  01 

30  43 

27  58 

36  00 

33  02 

40  20 

37  17 

43  51 

40  50 

46  41 

43  45 

48.58 

46  07 

50  48 

48  03 

52  14 

49  37 

53  22 

50  52 

54  15 

51  52 

54  54 

52  37 

55  21 

53  12 

55  41 

53  37 

55  52 

53  53 

55  56 

54  03 

55  54 

54  05 

55  47 

54  02 

55  34 

53  53 

55  17 

53  40 

54  57 

53  23 

54  33 

53  03 

54  06 

52  39 

53  35 

52  11 

53  02 

51  41 

52  27 

51  08 

51  49 

50  33 

51  09 

49  55 

50  26 

49  15 

49  42 

4832 

48  56 

47  49 

48  08 

47  02 

47  18 

46  14 

46  26 

45  25 

45  33 

44  32 

44  37 

43  38 

43  40 

42  43 

42  42 

41  47 

41  42 

40  48 

40  40 

39  48 

39  37 

38  47 

38  31 

37  43 

37  25 

3638 

3618 

35  32 

35  09 

34  25 

3358 

33  15 

32  45 

32  05 

31  32 

30  53 

30  17 

29  39 

29  00 

28  25 

27  42 

27  09 

26  24 

25  51 

25  03 

24  33 

23  42 

23  13 

22  20 

21  52 

20  56 

20  30 

19  31 

19  07 

18  05 

17  42 

16  38 

16  17 

15  II 

14  52 

13  44 

13  25 

12  13 

II  57 

10  42 

10  29 

9  12 

9  01 

7  41 

7  32 

.  6  10 

6  01 

4  37 

4  31 

3  05 

3  01 

I  32 

I  30 

0  00 

0  00 

54° 


o  00 
7  01 

13  45 

19  58 

25  31 

30  21 

34  30 

38  01 

40  58 

43  25 

45  26 

47  05 

48  27 

49  32 

50  24 

51  03 
51  33 

51  55 

52  03 
52  15 
52  16 
52  12 
52  03 
51  48 

51  32 
51  10 
50  45 
50  18 
49  48 
49  15 

48  40 
48  02 
47  22 

46  40 
45  56 
45  09 

44  21 
43  31 
42  39 

41  46 
40  51 

39  54 

3856 
37  55 
36  54 

35  51 
34  46 
33  40 

32  32 

31  23 
30  13 
29  01 
27  48 

26  34 

25  18 
24  00 
22  43 
21  24 

20  03 
18  42 

17  20 
15  57 

14  33 
13  07 
II  42 
10  15 


7  21 
5  54 
4  26 
258 


o  00 
6  20 
12  27 

18  09 

23  21 

27  57 

31  57 

35  24 

38  20 

40  49 

42  54 

44  38 

46  04 

47  13 

48  II 

48  56 

49  30 

49  57 

50  15 
50  26 
50  31 
50  30 
50  24 
50  14 

50  00 

49  42 
49  20 
48  55 
48  27 
47  57 

47  24 
46  48 
46  10 

45  31 
44  48 
44  04 

43  17 
42  30 

41  39 
40  48 

39  54 
38  59 

38  03 
37  04 

36  04 
35  02 
33  59 

32  55 

31  49 
30  42 
29  33 

28  22 
27  II 
25  58 

24  44 
23  29 
22  12 
20  56 

19  37 
18  17 

16  57 
15  35 
14  13 
12  50 
II  27 
10  02 

837 
7  12 
5  46 
4  20 
2  53 
I  26 
o  00 


56° 


o  00 

5  45 

11  20 

16  35 

21  25 

25  45 

29  36 

32  59 

35  52 

38  22 

40  29 

42  15 

43  45 

44  59 
46  00 

46  51 

47  31 

48  00 

48  22 

48  37 
48  46 
48  48 
48  46 
48  39 

48  28 
48  13 
47  54 
47  32 
47  06 
46  39 

46  07 

45  34 
44  59 
44  20 
43  40 
4258 

42  14 

41  27 
40  39 

39  50 
38  57 
38  04 

37  09 

36  12 

35  13 
34  13 

33  13 
32  10 

31  06 

30  00 
28  53 
27  44 

26  36 
25  24 

24  II 

22  58 
21  43 
20  27 
19  10 

17  52 

16  34 
15  14 
13  53 

12  33 
II  10 

9  49 

825 
7  02 
538 
4  14 
2  49 
I  25 
o  00 


57° 


58° 


5»° 


o  00 

5  14 
10  20 

15  II 
19  41 

23  47 

27  27 

30  43 

33  33 

36  02 

38  09 
3958 

41  31 

42  49 

43  54 

44  47 

45  30 

46  04 

46  30 

46  48 

47  00 
47  07 
47  07 
47  04 

46  55 
46  43 
46  27 
46  09 
45  45 
45  19 

44  50 
44  19 
43  47 
43  10 
42  32 

41  51 

41  09 
40  25 

39  39 
38  50 
38  01 

37  08 

36  15 
35  20 

34  23 
33  25 
32  25 

31  24 

30  21 

29  17 

28  12 
27  05 
25  57 

24  48 

23  36 
22  25 
21  13 

19  59 
18  43 
17  28 

16  II 
14  53 
13  35 
12  16 
10  55 

9  34 

8  13 

6  52 
5  31 
4  08 
2  46 
I  23 
o  00 


o  00 
4  47 

9  28 

13  56 

18  08 
21  59 

25  29 

28  38 

31  23 

33  50 

35  57 

37  47 

39  21 

40  42 

41  49 

42  45 

43  32 

44  09 

44  38 

45  00 
45  16 
45  25 
45  29 
45  28 

45  22 
45  13 
45  00 
44  43 
44  23 
43  59 

43  33 
43  04 
42  33 
41  59 
41  22 
40  44 

40  04 
39  21 

38  37 
37  50 
37  02 

36  II 

35  21 

34  27 
33  32 

32  35 
31  37 
3038 

29  37 
28  34 
27  3p 

26  25 

25  19 
24  II 

23  03 
21  52 
20  42 

19  30 
18  17 
17  02 

15  47 

14  31 
13  15 
II  57 

10  39 
9  20 

8  01 
6  42 
5  22 
4  02 
2  41 
I  21 
o  00 


o  00 

4  23 
8  41 


Hour  An&^le. 


b. 

O 


12  49 
16  44 

20  21 

23  40 
26  40 

29  21 

31  45 

33  50 

3541 

37  15 
3837 

39  47 

40  46 

41  36 

42  15 

42  48 

43  13 

43  31 

43  43 

43  51 

43  53 

43  49 

43  43 

43  32 

43  17 

43  00 

42  39 

42  15 
41  48 
41  18 

40  47 

40  12 
39  36 

38  57 
38  17 

37  35 
36  50 
36  03 

35  15 

34  25 

33  33 

32  40 

31  45 

30  49 

29  51 

28  52 

27  51 
26  49 
25  46 

24  41 

23  35 

22  28 

21  20 

20  II 

19  CO 

16  36 

15  23 

14  10 

12  55 

II  39 

10  23 

9  07 

750 
6  32 

3  56 

2  37 

I  19 

0  00 

10 


11 


12 


m. 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
60 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azi^nuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


176 


AZIMUTH  OR  TRUE  BEARING. 


I^TITUDE  42°. 

DECLINATION— SAME  NAME  AS- 

-I^ATITUDE. 

I^ATITIXDE  42°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

li.     m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

0  / 

0  t 

0  1 

0  / 

li.     ni. 

O     OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

4  02 

3  42 

3  25 

3  09 

2  55 

2  42 

2  30 

2  18 

2  08 

I  58 

I  49 

10 

20 

8  OO 

7  22 

6  48 

6  17 

§48 

5.22 

458 

4  36 

4  15 

356 

338 

20 

30 

.1  49 

10  54 

10  05 

9  19 

838 

7  59 

7  24 

6  50 

6  20 

5  51 

5  25 

30 

40 

15  28 

14  18 

13  14 

12  15 

II  22 

10  32 

9  46 

9  03 

823 

7  45 

7  09 

40 

50 

18  51 

17  29 

16  13 

15  03 

13  58 

"  12  58 

12  01 

II  10 

10  20 

9  35 

851 

50 

1     OO 

22  00 

20  26 

19  00 

17  40 

16  26 

15  16 

14  12 

13  II 

12  14 

II  21 

10  31 

1     00 

lO 

24  52 

23  10 

21  36 

20  08 

18  46 

17  28 

16  16 

15  07 

14  04 

13  03 

12  05 

10 

ao 

27  27 

25  39 

2358 

22  24 

20  55 

19  31 

18  12 

16  57 

15  46 

14  40 

13  36 

20 

30 

29  46 

27  55 

26  09 

24  29 

22  56 

21  25 

20  00 

18  41 

17  24 

l6  II 

15  03 

30 

40 

31  50 

29  55 

28  06 

26  22 

24  45 

23  II 

21  42 

20  17 

18  55 

17  37 

16  24 

40 

50 

33  39 

31  43 

29  51 

28  06 

26  24 

24  47 

23  14 

21  45 

20  20 

18  58 

17  42 

50 

2     OO 

35  ^5 

33  19 

31  26 

2938 

27  54 

26  15 

24  39 

23  07 

21  39 

20  14 

18  53 

2     00 

lO 

3638 

34  41 

3248 

31  00 

29  16 

27  32 

25  56 

24  22 

22  51 

21  23 

19  59 

10 

20 

37  49 

35  53 

34  01 

32  13 

30  27 

28  45 

27  05 

25  30 

23  57 

22  27 

21  00 

20 

30 

3850 

36  55 

35  05 

33  17 

31  31 

29  48 

28  08 

26  32 

24  57 

23  25 

21  56 

30 

40 

39  41 

37  50 

36  00 

34  12 

32  26 

30  43 

29  04 

27  27 

25  51 

24  18 

22  48 

40 

60 

40  24 

3834 

36  45 

35  00 

33  15 

31  32 

29  52 

28  15 

26  39 

25  05 

23  34 

50 

3     OO 

40  59 

39  II 

37  25 

35  39 

33  57 

32  15 

30  35 

28  58 

27  22 

25  47 

24  16 

3     00 

lO 

41  27 

39  41 

37  56 

36  13 

34  32 

32  51 

31  12 

29  35 

27  59 

26  25 

24  53 

10 

20 

41  48 

40  05 

38  22 

36  41 

35  00 

33  22 

31  43 

30  07 

28  31 

2658 

25  25 

20 

30 

42  02 

40  22 

3^42 

37  03 

35  24 

33  46 

32  09 

30  35 

28  59 

27  26 

25  54 

30 

40 

42  12 

40  34 

3856 

37  19 

35  43 

34  07 

32  30 

30  56 

29  22 

27  49 

26  18 

40 

50 

42  17 

40  40 

39  06 

37  30 

35  56 

34  21 

32  46 

31  14 

29  41 

28  09 

26  38 

50 

4     OO 

42  j6 

40  44 

39  10 

37  37 

36  04 

34  31 

32  59 

31  27 

29  55 

28  24 

26  54 

4     00 

lO 

42  13 

40  41 

39  10 

37  40 

36  08 

34  37 

33  07 

31  37 

30  05 

2836 

27  06 

10 

20 

42  04 

40  35 

39  07 

37  38 

•36  09 

34  39 

33  II 

31  42 

30  13 

28  44 

27  15 

20 

30 

41  52 

40  25 

38  59 

37  32 

36  05 

34  37 

33  10 

31  43 

30  15 

28  49 

27  22 

30 

40 

41  36 

40  12 

3848 

37  23 

35  58 

34  33 

33  07 

31  42 

30  16 

28  50 

27  24 

40 

60 

41  17 

39  56 

3833 

37  II 

3548 

34  25 

33  01 

31  38 

30  12 

28  48 

27  23 

50 

6     OO 

40  55 

39  36 

38  16 

3^55 

35  35 

34  12 

32  51 

31  29 

30  06 

28  43 

27  20 

5     00 

10 

40  30 

39  14 

37  56 

3638 

35  18 

3358 

3238 

31  19 

29  56 

28  35 

27  14 

10 

20 

40  04 

3849 

37  33 

36  16 

34  59 

33  41 

32  22 

31  04 

29  45 

28  25 

27  05 

20 

30 

39  34 

38  21 

37  07 

35  52 

34  37 

33  21 

32  04 

30  48 

29  30 

28  12 

26  54 

30 

40 

3902 

37  51 

3^38 

35  26 

34  13 

22  59 

31  44 

30  29 

29  13 

27  57 

26  40 

40 

50 

38  27 

37  18 

36  08 

34  57 

33  45 

32  34 

31  21 

30  08 

28  53 

27  39 

26  24 

50 

6     OO 

37  51 

36  43 

35  35 

34  26 

33  17 

32  06 

30  55 

29  45 

28  32 

27  19 

26  05 

6     00 

lO 

37  12 

36  07 

35  00 

33  53 

32  45 

31  37 

30  28 

29  18 

28  07 

2656 

25  45 

10 

20 

36  31 

35  28 

34  23 

33  18 

32  12 

31  05 

29  58 

28  51 

27  42 

26  32 

25  22 

20 

30 

35  48 

34  47 

33  44 

32  40 

31  37 

30  32 

29  26 

28  21 

27  13 

26  05 

24  58 

30 

40 

35  03 

34  03 

33  03 

32  02 

30  59 

29  57 

28  53 

27  49 

26  43 

25  38 

24  32 

40 

50 

34  17 

33  19 

32  20 

31  20 

30  20 

29  18 

28  17 

27  15 

26  12 

2508 

24  03 

50 

7     OO 

33  29 

32  33 

31  35 

30  38 

29  39 

28  39 

27  40 

26  39 

25  38 

24  36 

23  33 

7     00 

lO 

32  38 

31  44 

30  49 

29  53 

28  56 

27  59 

27  01 

26  02 

25  02 

24  03 

23  02 

10 

20 

31  48 

30  55 

30  02 

29  07 

28  12 

27  17 

26  20 

25  24 

24  26 

23  28 

22  29 

20 

30 

30  54 

30  03 

29  II 

28  19 

27  26 

26  32 

2538 

24  43 

23  47 

22  51 

21  55 

30 

40 

30  00 

29  II 

28  21 

27  30 

26  39 

25  47 

24  54 

24  02 

23  07 

22  13 

21  18 

40 

50 

29  03 

28  17 

27  28 

26  39 

25  50 

24  59 

24  09 

23  18 

22  26 

21  33 

20  40 

50 

8     OO 

28  06 

27  21 

26  34 

25  47 

25  01 

24  II 

23  22 

22  34 

21  43 

20  53 

20  02 

8     00 

lO 

27  07 

26  23 

25  39 

24  53 

24  08 

23  22 

22  34 

21  47 

20  58 

20  10 

19  21 

10 

20 

26  07 

25  24 

24  42 

23  58 

23  15 

22  30 

21  45 

21  00 

20  13 

19  26 

18  40 

20 

30 

25  06 

24  25 

23  44 

23  02 

22  20 

21  38 

20  54 

20  II 

19  26 

18  43 

17  57 

30 

40 

24  02 

23  24 

22  44 

22  05 

21  24 

20  44 

20  03 

19  21 

18  39 

17  56 

17  13 

40 

50 

22  59 

22  22 

21  45 

21  07 

20  27 

19  49 

19  ID 

18  30 

17  49 

17  09 

16  28 

50 

9     OO 

21  53 

21  18 

20  42 

20  06 

19  30 

18  53 

18  16 

17  39 

17  00 

16  22 

15  41 

9     00 

lO 

20  47 

20  14 

19  39 

19  05 

18  31 

17  56 

17  21 

16  45 

16  09 

15  33 

14  55 

10 

20 
30 

1939 

19  08 

1836 

18  04 

17  31 

16  59 

16  25 

15  52 

15  17 

14  42 

14  07 

20 

18  31 

18  01 

17  32 

17  01 

16  30 

15  59 

15  28 

14  56 

14  24 

13  52 

13  19 

30 

40 
50 

17  21 

16  53 

16  26 

15  57 

15  28 

14  59 

14  30 

14  01 

13  30 

13  00 

12  29 

40 

16  11 

15  45 

15  19 

14  53 

14  26 

14  00 

13  32 

13  04 

12  36 

12  08 

II  39 

50 

lO     OO 

14  59 

14  36 

14  12 

13  47 

13  23 

12  57 

12  32 

12  07 

II  41 

II  15 

10  48 

10     00 

lO 
20 
30 
40 

13  47 

13  25 

13  03 

12  41 

12  18 

II  55 

11  32 

II  08 

10  45  1 

10  20 

9  56 

10 

12  35 

12  i5 

II  54 

II  34 

II  14 

10  52 

10  31 

10  09 

9  48 

9  27 

9  04 

20 

II  21 

II  04 

10  45 

10  27 

10  07 

9  49 

9  29 

9  10 

8  49  1 

831 

8  II 

30 

10  07 

9  52 

9  35 

9  19 

9  01 

8  45 

8  28 

^8  10 

7  53 

7  36 

7  18 

40 

50 

853 

8  39 

8  25 

8  10 

7  55 

7  41 

726 

7  II 

6  55 

6  40 

625 

50 

11     OO 

738 

725 

7  14 

7  01 

6  48 

635 

623 

6  09 

5  57  ■ 

5  44 

5  30 

11     00 

lO 

6  21 

6  12 

0  02 

5  51 

5  41 

5  30 

5  20 

5  09 

4  57  : 

4  47 

4  35 

10 

20 

5  06 

4  58 

4  49 

4  41 

4  33 

4  24 

4  16 

4  07 

3  59  I 

3-50 

3  41 

20 

30 

3  50 

3  43 

3  37 

3  32 

3  25 

3  18 

3  12 

3  06 

2  59 

2  52 

2  46 

30 

40 

2  34 

2  29 

2  24 

2  21 

2  16 

2  13 

2  08 

2  04 

I  59 

I  55 

I  50 

40 

50 

I  16 

I  14 

I  13 

I  II 

I  08 

I  06 

I  04 

I  02 

I  00 

0  58 

0  56 

60 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00  1 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  Eas'  of  the  meridian,  the  tabulated  azimuths  are  reckoned  froin  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


177 


AZIMUTH  OR  TRUE  BEARING. 


I^ATITUDE  43°. 

DECLINATION- 

-SAME  NAME  AS— I^ATITUDE. 

i.atiti;d£  43  . 

1 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

li.    111. 

•  o  / 

0  / 

0  I 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  ' 

li.    in. 

O     OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

173  oi 

172  42 

172  21 

171  58 

171  31 

171  01 

170  27 

169  47 

169  00 

168  04 

16656 

165  33 

10 

ao 

i66  o8 

165  33 

164  53 

164  08 

163  18 

162  21 

161  16 

160  02 

15836 

156  55 

154  54 

152  29 

20 

30 

o9  35 

158  44 

157  47 

156  44 

155  34 

154  16 

152  48 

151  08 

149  13 

147  02 

144  30 

141  30 

30  ; 

40 

153  21 

152  17 

151  08 

149  51 

148  27 

i4'5  53 

145  09 

143  12 

141  01 

138  33 

135  45 

132  34 

40  ; 

50 

147  33 

146  19 

145  00 

143  34 

142  00 

140  16 

138  23 

136  17 

13358 

131  25 

12833 

125  23 

50 

1     OO 

142  09 

140  50 

139  24 

137  52 

136  12 

134  24 

132  26 

130  17 

127  57 

125  23 

122  35 

119  32 

1    00 

lO 

137  13 

135  48 

134  20 

132  44 

131  01 

129  II 

127  II 

125  04 

122  45 

120  16 

117  36 

114  42 

10 

20 

132  40 

131  14 

129  43 

128  06 

126  23 

124  32 

122  35 

120  30 

118  16 

115  50 

113  20 

no  38 

20 

30 

12S  30 

127  03 

125  32 

123  56 

122  13 

120  25 

118  31 

116  29 

114  20 

112  04 

109  40 

107  08 

30 

40 

124  41 

123  15 

121  44 

120  09 

118  34 

116  44 

114  51 

112  54 

no  52 

108  43 

106  27 

104  05 

40 

60 

121  10 

119  45 

118  15 

116  43 

115  05 

113  22 

III  36 

109  44 

107  46 

105  44 

103  33 

loi  22 

50 

2     OO 

"7  51 

116  31 

"5  05 

"3  33 

III  58 

no  19- 

108  37 

106  49 

104  58 

103  02 

lor  01 

99  19 

2    00 

lO 

"4  55 

"3  33 

112  07 

no  39 

109  08 

107  33 

105  53 

104  II 

102  25 

100  34 

98  39 

96  42 

10 

20 

112  07 

no  47 

109  24 

107  58 

106  31 

104  58 

103  23 

loi  45 

100  03 

98  18 

96  30 

94  39 

20 

30 

109  30 

108  II 

106  51 

105  28 

104  02 

102  34 

loi  03 

9928 

97  50 

96  12 

94  29 

92  44 

30 

40 

107  01 

105  45 

104  27 

103  07 

loi  44 

100  19 

9f  51 

97  22 

95  48 

94  13 

92  36 

90  55 

40 

50 

104  42 

103  28 

102  13 

100  54 

99  34 

98  12 

9648 

95  21 

93  52 

92  22 

90  48 

89  13 

50 

3     OO 

102  29 

loi  17 

100  04 

9849 

97  32 

96  12 

94  51 

93  28 

92  03 

9036 

8906 

!J35 

3     00 

10 

100  23 

99  12 

98  01 

96  49 

95  34 

94  18 

92  59 

91  39 

90  17 

88  54 

87  28 

86  01 

10 

20 

98  22 

97  14 

96  05 

94  54 

93  41 

92  27 

91  12 

89  55 

8836 

87  16 

85  54 

84  28 

20 

30 

96  26 

95  20 

94  13 

93  05 

91  54 

90  42 

8929 

88  15 

8659 

85  41 

84  22 

83  02 

30 

40 

94  31 

93  30 

92  21 

91  17 
89  37 

90  10 

89  00 

87  49 

86  38 

85  25 

84  10 

8254 

81  36 

40 

50 

92  46 

91  43 

90  40 

88  28 

87  21 

86  13 

8503 

83  52 

82  40 

81  27 

80  II 

50 

4     OO 

91  01 

90  00 

88  58 

8755 

86  50 

85  45 

84  39 

83  30 

82  22 

81  13 

80  02 

7849 

4    00 

lO 

89  18 

88  18 

87  18 

86  16 

85  14 

84  10 

8306 

82  00 

80  54 

79  46 

7838 

77  28 

10 

20 

8738 

86  40 

.  85  41 

8441 

83  40 

82  38 

81  35 

80  32 

79  27 

78  22 

77  16 

76  07 

20 

30 

86  00 

85  03 

84  06 

8307 

82  08 

81  07 

80  06 

79  04 

78  02 

7658 

75  53- 

74  47 
7328 

30 

40 

8423 

83  27 

82  31 

81  34 

8036 

79  37 

7837 

77  37 

7636 

75  35 

74  32 

40 

50 

82  48 

81  53 

8059 

80  03 

7906 

78  09 

77  10 

76  II 

75  12 

74  12 

73  II 

72  09 

50 

5     OO 

81  14 

80  20 

79  26 

78  31 

7736 

76  40 

75  44 

74  46 

73  49 

72  50 

71  51 

70  50 

5    00 

lO 

79  39 

7848 

77  55 

77  01 

76  07 

75  13 

74  17 

73  21 

72  25 

71  28 

70  30 

69  32 

10 

20 

78  07 

77  15 

76  24 

75  32 

74  39 

73  46 

72  52 

71  57 

71  02 

70  06 

69  10 

68  12 

ao 

30 

76  34 

75  43 

74  53 

74  02 

73  II 

72  18 

71  25 

70  32 

69  39 

6844 

67  49 

6654 

30 

40 

75  02 

74  12 

73  23 

72  33 

71  42 

70  51 

69  59 

69  07 

68  15 

67  22 

66  28 

65  33 

40 

50 

73  30 

72  42 

71  53 

71  04 

70  14 

69  24 

68  33 

67  42 

66  51 

65  59 

65  07 

64  13 

50 

6     OO 

71  58 

71  10 

70  22 

69  34 

6845 

6756 

67  07 

66  16 

65  26 

6436 

63  45 

62  53 

6     00 

lO 

70  25 

6938 

.68  51 

68  03 

67  15 

66  28 

65  40 

64  51 

64  02 

63  13 

62  22 

61  31 

10 

20 

68  52 

68  06 

67  20 

6634 

65  47 

65  00 

64  12 

63  24 

6236 

6i  47 

60  59 

6q  09 

20 

30 

67  18 

6633 

6548 

65  03 

64  16 

63  31 

62  43 

61  57 

61  10 

60  22 

59  34 

5846 

30 

40 

65  44 

64  59 

64  14 

63  30 

62  45 

61  59 

61  14 

60  28 

5942 

5856 

58  10 

57  21 

40 

50 

64  09 

63  25 

62  42 

6i  57 

61  13 

60  29 

59  44 

5859 

58  14 

57  28 

56  43 

55  57_ 

50 

7     OO 

62  32 

61  49 

61  06 

60  23 

59  40 

58  57 

58  12 

57-2S 

56  45 

56  00 

55  16 

54  30 

7     00 

lO 

60  54 

60  II 

59  29 

5848 

5805 

57  23 

56  40 

55  57 

55  14 

54  30 

53  47 

53  03 

10 

20 

59  15 

58  34 

57  52 

57  II 

56  30 

5548 

55  06 

54  24 

53  42 

53  00 

52  18 

51  35 

20 

30 

57  35 

56  54 

56^14 
5r34 

55  34 

54  53 

54  12 

53  31 

52  50 

52  09 

51  28' 

50  47 

50  05 

30 

40 

55  53 

55  13 

53  55' 

53  15 

52  35 

51  55 

5'  '5 

50  35 

49  55 

49  14 

4833 

40 

50 

54  10 

53  31 

52  53 

52  13 

51  34 

50  55 

50  16 

4938 

4859 

48  19 

47  40 

47  00 

50 

8     OO 

52  24 

51  46 

51  09 

50  30 

49  52 

49  14 

4836 

47  58 

47  20 

■46  42 

46  05 

45  25 

8     00 

lO 

5038 

50  01 

49  23 

48  46 

4809 

47  32 

46  55 

46  18 

45  42 

45  04 

44  28 

43  50 

10 

20 

48  49 

48  13 

47  36 

47  00 

46  24 

45  48 

45  13 

44  36 

44  01 

43  25 

42  48 

42  13 

20 

30 

4658 

46  22 

45  47 

45  12 

44  37 

44  02 

43  27 

42  53 

42  19 

41  45 

41  09 

40  33 

30 

40 

45  04 

44  30 

43  56 

43  22 

42  49 

42  14 

41  40 

41  06 

40  33 

39  59 

39  26 

3852 

40 

50 

43  10 

42  36 

42  03 

41  31 

40  57 

40  25 

39  52 

39  19 

3847 

38  14 

37  43 

37  10 

50 

9     OO 

41  II 

40  39 

40  08 

39  36 

39  04 

38  32 

38  oi 

37  30 

36  59 

36  27 

35  57 

35  25 

9     00 

lO 

39  12 

38  41. 

38,10 

37  40 

37  09 

36  39 

36  09 

35  39 

35  09 

34  39 

34  09 

33  39 

10 

20 

37  09 

36  40 

36  10 

35  41 

35  II 

34  43 

34  14 

33  45 

33  17 

32  48 

32  20 

31  51. 

20 

30 

35  05 

34  37 

34  °9 
3*^ 

33  41 

33  13 

32  46 

32  18 

31  51 

31  23 

30  56 

30  29 

30  02 

30 

40 

3258 

32  31 

31  38 

31  II 

30  45 

30  19 

29  53 

29  27 

29  02 

2837 

28  II 

40 

50 

3049 

30  23 

29  58 

29  33 

29  08 

28  44 

28  19 

27  54 

27  30 

27  06 

26  42 

26  18 

50 

lO     OO 

28  37 

28  14 

27  50 

27  26 

27  03 

26  40 

26  17 

25  54 

25  31 

25  09 

24  46 

24  24 

10     00 

lO 

26  23 

26  01 

25  39 

25  17 

24  55 

24  34 

24  12 

23  51 

23  30 

23  09 

22  48 

22  27 

10 

20 

24  08 

23  47 

23  27 

23  06 

22  46 

22  27 

22  07 

21  48 

21  28 

21  08 

2049 

20  30 

20 

30 

21  49 

21  30 

21  12 

20  54 

20  36 

20  17 

19  59 

19  41 

19  24 

19  07 

18  49 

18  31 

30 

40 

19  29 
17  08 

19  12 

1856 

18  39 

18  22 

18  06 

17  50 

17  34 

17  18 

17  02 

16  47 

16  31 

40 

50 

16  52 

16  38 

16  23 

16  08 

15  54 

15  40 

15  26 

15  12 

1458 

14  44 

14  30 

50 

11     OO 

14  44 

14  30 

14  18 

14  05 

13  53 

13  40 

13  28- 

13  15 

13  03 

12  51 

12  39 

12  28 

11     00 

lO 

12  19 

12  08 

II  58 

n  47 

11  36 

II  26 

"  15 

II  04 

10  55 

10  45 

10  35 

10  25 

10 

20 

9  53 

9  44 

9  35 

9  26 

9  18 

9  09 

9  01 

853 

845 

837 

8  29 

8  21 

20 

30 

7  26 

7  19 

7  12 

7  05 

6  59 

6  53 

6  47 

6  40 

6  34 

6  28 

6  22 

6  16 

30 

40 

458 

4  53 

4  49 

4  45 

4  40 

4  36 

•  431 

4  27 

4  23 

4  19 

4  15 

4  10 

40 

50 

2  29 

2  26 

2  24 

2  22 

2  20 

2  18 

2  16 

2  14 

2  12 

2  10 

208 

2  c6 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  >'orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


41224°— 16- 


-12 


178 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE;  43°. 

DECLINATION- 

-SAME  NAME 

AS— LATITUDE. 

LATITUDE  43%  , 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

440 

45° 

46° 

47° 

Hour  Angle. 

li. 

m. 

o  r 

0  / 

0  r 

0  / 

0  / 

0  / 

0  / 

0  / 

0  r 

0  r 

0  / 

0  / 

li.    m. 

0 

OO 

i8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

163  47 

161  29 

158  21 

153  55 

147  II 

136  16 

117  37 

89  09 

60  16 

41  06 

29  51 

22  29 

10 

20 

149  30 

145  58 

141  06 

135  00 

127  01 

116  37 

103  29 

88  18 

72  53 

59  13 

48  12 

39  44 

20 

30 

137  59 

133  46 

128  46 

122  44 

115  35 

107  12 

97  42 

8726 

77  01 

67  04 

58  07 

50  22 

30 

40 

128  56 

124  45 

120  00 

114  34 

108  27 

loi  41 

94  19 

86  35 

7843 

71  01 

63  44 

57  02 

40 

50 

121  52 

117  55 

113  35' 

108  46 

103  33 

97  54 

91  56 

85  44 

79  25 

73  10 

67  05 

61  19 

50 

1 

OO 

116  13 

"2  35 

108  40 

104  25 

99  53 

95  05 

90  03 

84  52 

79  36 

74  20 

69  09 

64  08 

1     00 

lO 

III  36 

loS  17 

104  44 

10057 

9658 

92  47 

88  28 

84  00 

79  29 

74  57 

70  25 

66  00 

10 

20 

107  45 

104  42 

loi  29 

98  06 

94  33 

90  51 

87  02 

83  09 

79  II 

75  II 

71  II 

67  15 

20 

30 

104  28 

101  39 

98  44 

95  39 

92  27 

89  09 

8545 

82  16 

78  44 

75  II 

71  37 

68  03 

30 

40 

loi  35 

99  01 

96  19 

93  30 

90  35 

87  37 

8433 

81  24 

78  13 

75  00 

71  46 

68  32 

40 

50 

99  03 

96  39 

94  10 

91  35 

88  55 

86  II 

83  23 

80  31 

77  37 

74  41 

71  44 

6847 

50 

2 

OO 

96  46 

94  31 

92  12 

8948 

87  22 

84  51 

82  16 

79  39 

76  59 

74  17 

71  33 

6850 

2     00 

10 

94  40 

92  33 

90  24 

88  II 

85  54 

83  34 

81  12 

78  45 

76  17 

73  47 

71  16 

68  44 

10 

20 

92  43 

90  45 

88  44 

8639 

84  32 

82  21 

80  08 

77  52 

75  34 

73  15 

70  53 

6831 

20 

30 

90  55 

89  03 

8709 

85  II 

83  12 

81  og 

79  05 

7658 

74  49 

72  39 

70  27 

68  14 

30 

40 

89  12 

87  27 

85  39 

83  48 

81  55 

80  01 

78  03 

76  03 

74  02 

71  59 

6956 

67  50 

40 

50 

87  35 

8555 

84  13 

82  28 

80  41 

78  52 

77  02 

75  09 

73  15 

71  19 

69  21 

67  23 

50 

3 

OO 

86  02 

84  26 

82  49 

81  10 

79  30 

77  49 

76  00 

74  14 

72  25 

70  36 

68  44 

6652 

3     00 

lO 

84  32 

83  00 

81  28 

79  53 

78  16 

7638 

75  06 

73  18 

71  35 

69  51 

6805 

66  18 

10 

20 

8305 

81  37 

80  09 

7839 

77  07 

75  33 

7358 

72  21 

70  43 

69  04 

67  24 

65  42 

30 

30 

81  40 

80  16 

7852 

77  25 

75  57 

74  28 

72  57 

71  25 

69  51 

68  16 

66  41 

65  "3 

30 

40 

80  18 

78  57 

77  35 

76  13 

74  48 

73  22 

71  56 

70  27 

6858 

67  27 

6555 

64  22 

40 

50 

7856 

77  39 

76  21 

75  01 

73  40 

72  17 

70  53 

69  29 

68  03 

66  36 

6508 

63  39 

50 

4 

OO 

77  36 

76  22 

75  07 

73  50 

72  32 

71  13 

69  53 

68  30 

67  09 

65  45 

64  20 

62  54 

4     00 

10 

76  17 

75  05 

73  52 

72  38 

71  ^3 

70  07 

68  49 

67  31 

66  12 

64  51 

6329 

62  06 

10 

20 

74  59 

73  49 

72  39 

71  27 

70  15 

69  02 

67  47 

6631 

65  14 

6357 

6238 

61  18 

30 

30 

73  41 

72  34 

71  25 

70  17 

69  06 

67  55 

66  43 

65  30 

64  16 

63  01 

61  45 

60  29 

30 

40 

72  24 

71  18 

70  13 

69  06 

67  57 

66  49 

65  39 

64  28 

63  17 

62  04 

60  51 

59  37 

40 

SO 

71  08 

70  03 

6859 

67  55 

66  49 

65  42 

64  34 

63  26 

62  17 

61  06 

59  56 

58  44 

50 

5 

OO 

69  50 

68  48 

67  47 

66  43 

65  39 

64  34 

63  29 

62  22 

61  15 

60  08 

58  59 

57  49 

5     00 

lO 

68  33 

67  33 

66  32 

65  31 

64  29 

63  27 

62  23 

61  18 

60  14 

59  07 

58  01 

56  53 

10 

ao 

67  15 

66  17 

65  19 

.  64  18 

63  18 

62  17 

61  15 

60  13 

59  10 

58  05 

57  02 

55  56 

¥* 

30 

65  57 

65  00 

64  04 

63  05 

62  07 

61  07 

60  07 

59  07 

5806 

57  04 

56  01 

5458 

30 

40 

64  40 

63  44 

62  48 

61  51 

60  54 

59  57 

5858 

58  00 

57  00 

56  00 

54  59 

53  57 

40 

50 

63  20 

62  27 

61  33 

60  37 

59  41 

58  45 

57  49 

56  52 

55  54 

54  55 

53  56 

52  56 

50 

6 

00 

62  01 

61  08 

60  16 

59  22 

58  28 

57  33 

5638 

55  42 

54  46 

53  49 

52  52 

51  53 

6     00 

lO 

60  41 

59  49 

5858 

58  05 

57  13 

56  19 

55  26 

54  32 

53  37 

52  41 

.51  46 

50  50 

10 

20 

59  20 

58  30 

57  40 

56  49 

55  57 

55  06 

54  13 

53  21 

52  27 

51  34 

50  39 

49  45 

30 

30 

57  58 

57  09 

56  20 

55  30 

54  40 

53  50 

52  59 

52  08 

51  16 

50  23 

49  30 

4837 

30 

40 

56  35 

55  47 

54  59 

54  II 

53  23 

52  33 

51  44 

50  54 

50  03 

49  12 

48  21 

47  29 

40 

50 

55  II 

54  24 

5338 

52  51 

52  03 

51  16 

50  28 

49  39 

48  50 

48  00 

47  II 

46  21 

50 

7 

OO 

53  46 

53  01 

52  15 

51  29 

50  43 

49  56 

49  09 

48  22 

47  34 

46  46 

4558 

45  09 

7     00 

10 

52  19 

51  35 

50  51 

50  07 

49  21 

4835 

47  50 

47  04 

46  17 

45  30 

44  45 

43  57 

10 

20 

50  52 

50  08 

49  26 

48  42 

47  58 

47  15 

46  30 

45  45 

45  00 

44  15 

43  30 

42  43 

30 

30 

49  24 

48  41 

47  59 

47  16 

46  34 

45  51 

4508 

44  25 

43  41 

42  57 

42  13 

41  28 

30 

40 

47  53 

47  12 

46  32 

45  50 

45  09 

44  26 

43  45 

43  03 

42  21 

41  38 

40  56 

40  12 

40 

50 

46  21 

45  41 

45  02 

44  21 

43  42 

43  01 

42  21 

41  40 

40  59 

40  18 

39  37 

3854 

60 

8 

OO 

44  47 

44  09 

43  31 

42  52 

42  12 

41  34 

40  55 

40  15 

39  35 

3855 

38  15 

37  34 

8     00 

10 

43  13 

42  36 

41  58 

41  20 

40  43 

40  05 

39  27 

3849 

38  10 

37  32 

36  54 

36  15 

10 

20 

41  37 

41  00 

40  25 

3948 

39  12 

3835 

3758 

37  21 

36  45 

36  06 

35  30 

34  52 

30 

30 

39  59 

39  23 

38  48 

38  13 

37  38 

37  03 

3628 

35  52 

35  17 

34  41 

34  04 

33  28 

30 

40 

38  19 

37  45 

37  II 

36  37 

36  04 

35  30 

34  56 

34  22 

33  48 

33  13 

32  39 

32  04 

40 

50 

3638 

36  05 

35  33 

35  00 

34  29 

33  5^ 

33  23 

32  50 

32  17 

31  44 

31  12 

30  39 

50 

9 

OO 

34  54 

34  22 

33  52 

33  21 

32  50 

32  18 

31  48 

31  16 

30  45 

30  13 

29  42 

29  II 

9     00 

lO 

33  10 

32  39 

32  10 

31  40 

31  10 

3040 

30  12 

29  42 

29  12 

28  42 

28  12 

27  42 

10 

20 

31  23 

30  54 

30  27 

29  59 

29  30 

29  02 

28  34 

28  05 

27  37 

27  09 

26  40 

26  II 

20 

30 

29  35 

29  08 

28  42 

28  15 

27  48 

27  21 

■26  55 

26  28 

26  01 

25  33 

25  07 

24  40 

30 

40 

27  45 

27  20 

26  55 

26  29 

26  04 

2538 

25  14 

24  48 

24  24 

23  58 

23  33 

23  07 

40 

50 

25  54 

25  30 

25  06 

24  43 

24  19 

23  56 

23  32 

23  08 

22  45 

22  21 

21  57 

21  34 

60 

lO 

OO 

24  01 

23  39 

23  17 

22  55 

22  33 

22  II 

21  49 

21  27 

21  05 

20  43 

20  21 

19  59 

10     00 

lO 

22  07 

21  46 

21  26 

21  06 

20  45 

20  25 

20  04 

19  44 

19  24 

19  04 

1843 

18  22 

10 

20 

20  12 

19  52 

19  34 

19  15 

1857 

18  38 

18  19 

18  01 

17  42 

17  23 

1705 

16  46 

20 

30 

18  14 

17  57 

17  40 

17  24 

17  06 

16  49 

16  32 

16  16 

15  59 

15  42 

15  25 

15  08 

30 

40 

16  16 

16  00 

15  45 

15  30 

15  15 

15  00 

14  45 

14  30 

14  15 

14  00 

13  45 

13  29 

40 

50 

14  17 

14  03 

13  49 

13  36 

13  22 

13  09 

12  56 

12  43 

12  30 

12  16 

12  04 

II  50 

60 

11 

OO 

12  16 

12  04 

II  53 

II  41 

11  30 

II  19 

II  07 

10  56 

10  45 

10  33 

10  21 

10  10 

11     00 

lO 

10  15 

10  05 

9  56 

9  45 

9  36 

9  27 

9  16 

9  07 

858 

8  48 

839 

^^ 

10 

20 

8  13 

8  05 

7  57- 

7  50 

742 

7  34 

7  27 

7  19 

7  II 

7  04 

6  56 

6  48 

20 

30 

6  10 

6  05 

558 

5  52 

5  47 

5  41 

5  35 

5  29 

5  23 

5  18 

5  " 

5  07 

30 

40 

4  07 

4  03 

4  CO 

3  55 

3  51 

3  48 

'3  44 

3  40 

3  36 

3  32 

3  28 

3  25 

40 

50 

2  04 

2  01 

I  59 

158 

156 

I  54 

I  52 

I  50 

I  48 

I  46 

I  44 

I  42 

50 

13 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

13     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
•when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  8onth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


179 


AZIMUTH  OR  TRUE  BEARING. 


latitude;  43°. 

DECI^INATION- 

-SAME  NAME  AS— I.ATITUDE. 

LATITUDE  43°. 

Honr  Angle. 

48° 

490 

50° 

51° 

52° 

530 

54° 

55° 

56° 

57° 

58° 

59° 

1 

Hoar  Angle. 

li 

m. 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  ' 

0  ' 

0  / 

li    m. 

O 

OO  i 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO  1 

i8  26 

15  15 

12  55 

II  08 

9  44 

835 

7  39 

651 

6  II 

536 

506 

4  39 

10 

20 

33  16 

28  18 

24  23 

21  17 

18  45 

16  40 

14  55 

13  25 

12  09 

II  02 

10  04 

9  12 

20 

30 

43  48 

38  19 

33  44 

29  54 

26  40 

23  55 

21  33 

19  31 

17  43 

16  10 

14  48 

13  33 

30 

40 

51  01 

45  40 

40  59  1 

36  53 

33  18 

30  09 

27  24 

24  58 

22  49 

20  55 

19  12 

17  39 

40 

50 

55  56 

5058 

46  27  1 

42  22 

38  42 

35  24 

32  25 

29  45 

27  21 

25  II 

23  14 

21  26 

50 

1 

OO 

59  20 

54  48 

5^  34 

46  38 

43  02 

39  41 

36  39 

33  52 

31  18 

28  59 

26  50 

24  52 

1     00 

lO 

61  43 

57  35 

53  40 

4958 

46  28 

43  13 

40  II 

37  21 

34  43 

32  18 

30  02 

27  57 

10 

20 

63  24 

5938  ! 

56  00  1 

52  31 

49  12 

46  03 

43  05 

40  17 

37  38 

35  10 

3251 

30  41 

20 

30 

64  33 

61  07 

57  44 

54  29 

51  22 

48  21 

45  28 

42  43 

40  07 

37  39 

35  18 

33  06 

30 

40  i 

65  19 

62  09 

59  03  1 

56  00 

53  02 

50  10 

47  25 

44  45 

42  II 

39  45 

37  26 

35  12 

40 

50 

65  49 

62  53 

59  59  1 

57  09 

54  22 

51  37 

4859 

46  25 

43  56 

41  32 

39  14 

37  01 

50 

2 

OO 

66  06 

63  22 

60  40 

57  59 

55  22 

52  47 

50  14 

47  46 

45  22 

43  02 

40  46 

3836 

2    00 

lO 

66  12 

6338 

61  06 

58  37 

56  07 

53  39 

51  14 

4852 

46  33 

44  17 

42  04 

39  56 

10 

20 

66  09 

63  46 

6i  22 

59  00 

56  40 

54  19 

52  00 

49  44 

47  29 

45  19 

43  09 

41  03 

20 

30 

66  00 

63  44 

61  29 

59  15 

57  02 

54  47 

52  35 

50  24 

48  15 

46  08 

44  03 

42  00 

30 

40 

65  44 

6336 

61  29 

59  21 

57  15 

55  07 

53  01 

50  55 

4850 

46  47 

44  46 

42  47 

40 

50  I 

65  24 

63  23 

6i  22 

59  21 

57  20 

55  18 

53  17 

51  17 

49  17 

47  19 

45  21 

43  24 

50 

3 

OO 

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63  05 

61  10 

59  14 

57  18 

55  23 

53  26 

51  31 

49  35 

47  40 

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64  31 

62  42 

60  52 

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55  20 

53  29 

51  39 

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47  57 

4606 

44  16 

10 

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62  15 

60  31 

5846 

56  59 

55  13 

53  26 

51  39 

49  52 

4|°§ 

46  18 

44  32 

20 

30  : 

63  24 

61  45 

60  05 

58  24 

5643 

55  00 

53  17 

51  35 

49  51 

48  08 

46  25 

44  42 

30 

40 

62  48 

61  15 

59  37 

58  00 

5623 

54  43 

53  05 

51  25 

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44  46 

40 

50 

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6037 

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57  31 

5558 

54  23 

5248 

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4 

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52  27 

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60  44 

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5836 

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48  43 

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57  52 

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4628 

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51  15 

49  57 

48  38 

47  19 

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37  15 

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34  13 

33  27 

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27  53 

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26  35 

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30 

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2833 

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25  28 

24  50 

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27  50 

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26  40 

26  06 

25  31 

24  55 

24  19 

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28  38 

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27  35 

27  02 

26  29 

25  57 

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25  39 

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24  38 

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23  35 

23  03 

22  32 

21  59 

21  27 

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• 

20 

25  43 

25  14 

24  45 

24  16 

23  48 

23  17 

22  48 

22  19 

21  48 

21  18 

20  48 

20  17 

20 

30 

24  13 

23  46 

23  18 

22  51 

22  25 

21  56 

21  28 

21  00 

20  31 

•20  03 

19  35 

19  06 

30 

40 

22  42 

22  16 

21  51 

21  25 

21  00 

20  33 

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19  41 
18  21 

19  15 

18  48 

18  21 

17  54 

40 

50 

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20  22 

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19  35 

19  10 

1845 

17  56 

17  31 

17  07 

16  42 

50 

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19  37 

19  15 

18  52 

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18  08 

17  45 

17  23 

17  00 

16  37 

16  14 

15  51 

15  27 

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18  03 

17  43 

17  21 

17  01 

16  41 

16  19 

15  59 

15  38 

15  17 

14  56 

14  34 

14  13 

10 

20 

16  28 

16  09 

15  50 

15  32 

15  12 

14  53 

14  35 

14  16 

13  56 

1338 

13  18 

12  58 

20 

30 

14  51 

14  34 

14  17 

14  01 

13  44 

13  27 

13  09 

12  52 

12  34 

12  17 

12  CO 

II  43 

30 

40 

13  14 

12  59 

12  44 

12  29 

12  14 

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II  43 

II  29 

II  13 

10  57 

10  42 

10  26 

40 

50 

II  37 

II  24 

II  10 

10  57 

10  44 

10  30 

10  17 

10  03 

9  50 

9  37 

9  22 

9  09 

50 

11 

00 

9  59 

9  47 

9  36 

9  25 

9  13 

9  01 

850 

839 

827 

8  15 

8  03 

7  51 

11     00 

lO 

8  20 

8  II 

8  01 

7  52 

7  43 

7  32 

7  22 

7  13 

7  03 

6  54 

6  44 

6  34 

10 

20 

6  40 

633 

6  25 

6  17 

6  TO 

6  02 

5  54 ' 

'   5  47 

5  39 

5  31 

5  23 

^5^ 

20 

30 

5  01 

4  55 

4  49 

4  43 

4  38 

4  32 

4  26 

4  20 

4  15 

4  08 

4  03 

30 

40 

3  21 

3  17 

3  13 

3  09 

306 

3  01 

2  57 

2  54 

2  50 

2  46 

2  42 

238 

40 

50 

I  40 

I  38 

136 

I  34 

I  32 

I  30 

I  29 

I  27 

I  25 

I  23 

I  21 

I  20 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


180 


AZIMUTH  OR  TRUE  BEARING. 


XATITITDE  43°. 

DECI,INATION— SAME  NAME  AS- 

-I^ATITUDE. 

liATITlJDE  43°. 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

h. 

m. 

o  / 

0  ' 

0  / 

0  / 

0  ' 

0  / 

0  1 

0  / 

0  / 

0  / 

0  / 

b.    in. 

o 

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4  i6 

3  54 

336 

3  18 

3  03 

2  49 

236 

2  24 

2  13 

2  02 

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10 

20 

8  26 

7  45 

708 

6  34 

6  04 

5  35 

5  10 

4  46 

4  24 

4  04 

3  45 

20 

30 

12  28 

II  38 

10  34 

9  46 

9  01 

8  19 

7  41 

7  07 

6  34 

6  04 

5  35 

30 

40 

16  16 

15  00 

^  51 

12  48 

II  52 

10  58 

10  09 

9  23 

8  41 

8  01 

7  24 

40 

50 

19  48 

18  19 

1658 

15  42 

14  33 

13  29 

12  30 

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10  43 

9  55 

9  09 

50 

1 

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21  23 

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18  25 

17  06 

15  52 

14  44 

13  40 

12  41 

11  44 

10  51 

1     00 

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26  00 

24  12 

22  31 

20  58 

19  31 

18  08 

16  52 

15  39 

14  32 

13  28 

12  29 

10 

SO 

28  40 

26  46 

24  58. 

23  18 

21  43 

20  14 

18  51 

17  32 

16  18 

15  08 

14  02 

20 

30 

31  00 

29  02 

27  10 

25  25 

23  46 

22  11 

20  42 

19  18 

1758 

16  43 

15  30 

30 

40 

33  05 

31  04 

29  09 

27  21 

2538 

23  59 

22  25 

20  56 

19  31 

18  II 

1654 

40 

50 

34  54 

32  52 

30  56 

29  05 

27  18 

25  36 

24  00 

22  26 

20  58 

19  33 

18  12 

50 

2 

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36  29 

34  27 

32  30 

3038 

28  50 

27  05 

25  25 

23  49 

22  17 

20  49 

19  25 

2     00 

10 

37  51 

35  50 

33  52 

31  58 

30  II 

28  24 

26  43 

25  05 

23  31 

22  oo 

20  32 

10 

20 

39  01 

37  01 

35  04 

33  12 

31  22 

29  36 

27  53 

26  13 

2438 

23  04 

21  34 

20 

30 

40  00 

38  02 

36  07 

34  15 

32  25 

3038 

28  56 

27  15 

25  38 

24  03 

22  31 

30 

40 

40  49 

3853 

37  00 

35  09 

33  21 

31  34 

29  50 

28  10 

26  31 

24  56 

23  23 

40 

50 

41  29 

39  36 

37  45 

35  56 

34  08 

32  23 

30  39 

28  59 

27  22 

25  43 

24  09 

50 

3 

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42  01 

40  II 

38  21 

36  34 

34  49 

33  04 

31  22 

29  40 

28  02 

26  25 

24  51 

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42  27 

40  39 

3852 

37  07 

35  22 

33  39 

31  57 

50  18 

28  40 

27  02 

25  27 

10 

20 

42  46 

41  01 

39  16 

37  32 

35  50 

34  07 

32  27 

30  48 

29  10 

27  34 

26  00 

20 

30 

42  58 

41  15 

39  34 

37  52 

36  12 

34  32 

32  52 

31  14 

2938 

28  02 

26  27 

30 

40 

43  06 

41  26 

39  46 

38  07 

36  29 

34  49 

33  13 

31  36 

30  00 

28  24 

26  51 

40 

50 

43  08 

41  31 

39  53 

38  17 

36  40 

35  03 

33  28 

31  52 

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28  43 

27  10 

50 

4 

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38  22 

36  47 

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32  04 

30  31 

2858 

27  25 

4     00 

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42  59 

41  27 

39  54 

38  22 

■36  50 

35  17 

33  44 

32  12 

30  40 

29  09 

2738 

10 

20 

42  48 

41  18 

39  49 

38  19 

36  48 

35  18 

33  47 

32  17 

30  47 

29  16 

27  46 

20 

30 

42  34 

41  07 

39  39 

38  12 

36  43 

35  14 

33  46 

32  17 

30  49- 

29  20 

27  51 

30 

40 

42  17 

40  52 

39  27 

38  01 

36  35 

35  07 

33  42 

32  15 

30  48 

29  20 

27  53 

40 

50 

41  56 

40  34 

39  10 

37  47 

36  23 

34  58 

33  33 

32  06 

30  43 

29  18 

27  51 

50 

5 

OO 

41  32 

40  12 

3851 

37  31 

3608 

34  45 

33  23 

31  59 

30  36 

29  II 

27  47 

5     00 

lO 

41  06 

39  48 

3829 

37  11 

35  50 

34  30 

33  08 

31  47 

30  26 

29  03 

27  41 

10 

80 

40  37 

39  21 

38  04 

36  47 

35  30 

34  II 

32  52 

31  32 

30  12 

28  51 

27  31 

20 

30 

40  06 

38  52 

37  37 

36  22 

35  07 

33  49 

32  32 

31  15 

29  56 

28  38 

27  18 

30 

40 

39  31 

38  20 

37  07 

35  54 

34  41 

33  26 

32  II 

30  55 

29  39 

28  21 

27  04 

40 

60 

3856 

37  46 

36  35 

35  24 

34  12 

33  00 

31  46 

30  32 

29  18 

28  02 

26  47 

50 

6 

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38  18 

37  10 

36  01 

34  52 

33  42 

32  31 

31  20 

30  07 

28  55 

27  41 

26  27 

6     00 

10 

37  37 

36  31 

35  24 

34  18 

33  09 

32  00 

30  51 

29  41 

28  31 

27  18 

26  06 

10 

ao 

36  55 

35  51 

34  46 

33  41 

32  35 

31  28 

30  20 

29  12 

28  03 

26  53 

25  43 

20 

30 

36  II 

35  09 

34  05 

33  03 

31  59 

30  52 

29  48 

^^  41 

27  34 

26  26 

25  17 

30 

40 

35  25 

34  25 

33  23 

32  22 

31  20 

30  16 

29  13 

28  08 

27  03 

25  57 

24  50 

40 

50 

3438 

3338 

32  39 

31  41 

30  39 

2938 

2837 

27  34 

26  30 

25  26 

24  21 

50 

7 

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33  47 

32  51 

31  54 

30  56 

29  57 

2858 

27  58 

26  57 

25  55 

24  54 

23  50 

7     00 

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32  57 

32  02 

31  06 

30  10 

29  14 
28  29 

28  16 

27  19 

26  19 

25  20 

24  19 

23  18 

10 

20 

32  04 

31  n 

30  17 

29  24 

^?  33 

2636 

25  40 

24  41 

23  43 

22  44 

20 

30 

31  10 

30  19 

29  27 

28  35 

27  42 

26  48 

25  54 

24  58 

24  03 

23  05 

22  08 

30 

40 

30  15 

29  25 

28  35 

27  44 

26  53 

26  01 

25  09 

24  16 

23  22 

22  27 

21  31 

40 

50 

29  17 

28  30 

27  41 

26  53 

26  03 

25  13 

24  23 

23  32 

22  40 

21  47 

20  53 

50 

8 

OO 

28  19 

27  32 

26  46 

26  00 

25  12 

24  23 

23  35 

22  46 

21  56 

21  05 

20  14 

8     00 

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27  19 

26  35 

25  50 

25  05 

24  19 

23  33 

22  46 

21  59 

21  II 

20  22 

19  33 

10 

20 

26  18 

25  36 

24  53 

24  09 

23  25 

22  40 

21  56 

21  II 

20  25 

19  37 

18  51 

20 

30 

25  15 

24  34 

23  54 

23  13 

22  31 

21  48 

21  05 

20  21 

1938 

18  53 

18  07 

30 

40 

-  24  J2 

23  33 

22  54 

22  14 

21  34 

20  53 

20  12 

19  31 

iS  49 

18  06 

17  23 

40 

50 

23  07 

22  30 

21  53 

21  15 

20  37 

19  58 

19  20 

18  39 

17  59 

17  19 

16  37 

50 

9 

OO 

22  01 

21  25 

20  51 

20  15 

1938 

19  01 

18  24 

17  47 

17  08 

16  29 

15  51 

9     00 

lO 

20  53 

20  20 

19  47 

19  13 

1838 

18  03. 

17  29 

16  53 

16  17 

15  41 

15  04 

10 

20 

19  46 

19  14 

i8  43 

18  11 

17  38 

17  06 

16  33 

1558 

15  25 

14  50 

14  15 

20 

30 

1836 

18  07 

17  37 

17  07 

16  37 

16  06 

15  35 

15  03 

14  31 

13  58 

13  26 

30 

40 

17  27 

16  59 

16  31 

16  03 

15  34 

15  05 

14  36 

14  07 

13  37 

13  00 

12  35 

40 

50 

16  15 

15  50 

15  24 

14  58 

14  32 

H  05 

13  37 

13  09 

12  42 

12  13 

II  44 

50 

lO 

OO 

15  05 

14  40 

14  16 

13  52 

13  27 

13  03 

12  37 

12  12 

II  46 

II  20 

10  53 

10     00 

lO 

13  51 

13  30 

13  07 

12  46 

12  23 

II  59 

11  37 

II  13 

10  49 

10  26 

10  00 

10 

20 

12  38 

12  19 

II  59 

II  38 

II  17 

10  56 

10  36 

10  14 

9  52 

9  30 

9  09 

20 

30 

II  25 

II  06 

10  48 

10  30 

10  12 

9  52 

9  34 

9  15 

8  55 

8  35 

8  15 

30 

40 

10  10 

9  54 

938 

9  21 

9  04 

8  47 

831 

8  14 

J  57 

7  39 

7  21 

40 

50 

855 

8  41 

827 

8  12 

758 

7  43 

7  29 

7  13 

658 

6  42 

6  27 

50 

11 

OO 

7  39 

7  27 

7  15 

7  02 

6  50 

637 

6  25 

6  12 

5  59 

5  46 

5  33 

11     00 

lO 

624 

6  14 

6  03 

5  53 

5  4i 

5  32 

5  22 

5  II 

5  00 

4  49 

4  38 

10 

20 

508 

5  00 

4  50 

4  43 

4  35 

4  26 

4  18 

4  09 

4  00 

3  51 

3  43 

20 

30 

3  50 

3  45 

338 

3  32 

3  26 

3  20 

3  14 

3  06 

3  00 

2  53 

2  47 

30 

40 

2  34 

2  30 

2  25 

2  22 

2  17 

2  13 

2  08 

2  05 

2  00 

I  56 

.1  52 

40 

50 

I  18 

I  15 

I  13 

I  11 

I  09 

I  07 

I  04 

I  02 

I  00 

0  58 

0  56 

50 

12 

OO 

OXK) 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising:  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


181 


AZIMUTH   OR  TRUE   BEARING. 


liATITCDE  44°. 

DECLIXATIOX- 

SAME  NAME 

AS— LATITUDE. 

LATITUDE  44°. 

Honr  Angle. 

24° 

25^ 

26° 

27° 

28° 

2»o 

30° 

31° 

32° 

33° 

34° 

36° 

Hour  Angle. 

Ii. 

III. 

o     / 

0    / 

0    / 

0    t 

0    ' 

0    ' 

0    / 

0    / 

0    / 

0    ' 

0    ' 

0    ' 

Ii.          ni. 

O 

OO 

i8o  cx) 

iSo  00 

iSo  00 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

iSo  00 

0          00 

lO 

173  20 

173  04 

172  45 

172  25 

172  01 

171  36 

171  07 

170  32 

169  53 

169  07 

168  12 

167  05 

10 

20 

i66  49 

166  16 

165  40 

165  01 

164  17 

163  27 

162  31 

161  27 

x6o  14 

158  49 

157  09 

155  10 

20 

30 

i6o  30 

159  44 

158  52 

157  57 

156  55 

155  46 

154  29 

153  02 

151   -3 

149  30 

147  20 

144  48 

30 

40 

154  29 

153  31 

152  28 

151  19 

150  04 

148  41 

147  09 

145  25 

143  29 

I' I  20 

13852 

136  05 

40 

50 

148  50 

147  44 

146  32 

145  13 

143  48 

142  14 

140  32 

138  40 

136  34 

134  17 

131  43 

128  52 

50 

1 

OO 

143  34 

14?.  22 

141  03 

139  38 

138  06 

136  27 

134  39 

132  4X 

130  33 

128  13 

125  41 

122  53 

1           00 

lO 

138  41 

137  24 

136  01 

134  33 

132  58 

131  15 

129  25 

127  27 

125  18 

123  ox 

:20  32 

117  50 

10 

20 

134  12 

132  51 

131  26 

129  55 

128  20 

126  36 

124  47 

122  49 

120  43 

X18  29 

116  07 

113  33 

20 

30 

130  02 

128  40 

127  15 

125  43 

124  07 

122  25 

120  37 

1x8  42 

116  41 

114  32 

112  15     109  50 

30 

40 

126  II 

124  50 

123  24 

121  54 

120  18 

118  38 

116  53 

X15  02 

113  05 

ixx  02 

108  52 

106  35 

40 

50 

122  40. 

121    18 

"9  53 

liS  24 

1x6  51 

115  13 

113  31 

III  44 

109  51 

107  54 

105  50 

103  42 

50 

2 

OO 

119  22 

118  01 

1x6  37 

115  10 

113  40 

112  05 

no  26 

108  43 

106  55 

X05  03 

X03  07 

loi  04 

2           00 

lO 

116  18 

115  00 

"3  38 

112  12 

110  44 

109  12 

107  37 

105  58 

104  14 

102  28 

100  37 

98  42 

10 

20 

113.27 

112    10 

no  49 

109  27 

108  01 

106  32 

105  01 

103  25 

lOI   46 

100  05 

98  20 

96  30 

20 

30 

110  46 

109   30 

108  12 

106  52 

105  30 

104  03 

102  35 

loi  03 

99  29 

97  51 

96  ix 

94  27 

30 

40 

108  15 

107  01 

105  15 

104  27 

X03  07 

loi  43 

100  18 

9850 

97  19 

95  47 

94  10 

92  32 

40 

50 

105  52 

104  40 

103  26 

102  10 

100  52 

99  32 

98  10 

96  45 

95  18 

93  49 

92  17 

9043 

W> 

3 

OO 

103  36 

102   25 

loi  13 

100  00 

98  44 

97  27 

96  08 

94  47 

93  22 

91  57 

90  29 

89  00 

3           00 

lO 

loi  25 

100  17 

99  07 

97  56 

96  43 

95  28 

94  12 

92  53 

9:  33 

90  xo 

88  46 

87  20 

10 

20 

99  21 

98    15 

97  07 

95  57 

94  45 

93  34 

92  20 

91  CM 

89  47 

88  28 

87  06 

85  44 

20 

30 

97  22 

96    17 

95  II 

94  04 

92  55 

91  45 

9033 

89  19 

88  04 

8649 

85  31 

84  IX 

30 

40 

95  27 

94  23 

93  20 

92  14 

91  07 

8958 

88  49 

87  39 

86  26 

85  12 

8357 

82  41 

40 

50 

93  36 

92  34 

91  31 

90  28 

89  22 

88  16 

87  09 

86  00 

8450 

8339 

82  26 

8x   13 

50 

4 

OO 

91  48 

90  48 

89  46 

8843 

8741 

8637 

8532 

84  24 

83  16 

82  08 

80  58 

79  46 

4           00 

lO 

90  02 

89  03 

88  03 

87  02 

8602 

8459 

83  55 

82  50 

81  45 

80  38 

79  29 

78  21 

10 

20 

88  19 

87  21 

8623 

85  23 

84  24 

8323 

82   2X 

8x  18 

80  IS 

79  10 

78  03 

76  57 

20 

30 

8637 

85  41 

84  44 

83  47 

82  48 

81  48 

80  49 

79  47 

7846 

77  42 

76  39 

75  34 

30 

40 

8458 

84  04 

83  07 

82  II 

8x  14 

80  16 

79  19 

78  18 

77  18 

76  x6 

75  14 

74  12 

40 

50 

83  21 

82  27 

81  32 

8037 

79  41 

7844 

7748 

76  50 

75  50 

74  51 

73  51 

72  50 

50 

5 

OO 

81  43 

80  51 

79  57 

79  04 

7809 

77  14 

76  18 

75  21 

74  24 

73  26 

72  27 

71  28 

5           00 

lO 

80  08 

79  16 

78  24 

77  31 

7638 

75  43 

74  49 

73  54 

72  5||_ 

^72  02 

71  03 

70  06 

10 

20 

7833 

77  41 

76  50 

75  59 

75  07 

74  14 

73  20 

72  27 

71  3^70  37 

69  41 

68  46 

20 

30 

7658 

76  08 

75  18 

74  27 

73  36 

72  44 

71  52 

70  59 

70  06 

6913 

68  i8 

67  24 

30 

, 

40 

75  23 

74  35 

73  45 

72  55 

72  06 

71  15 

70  23 

69  32 

68  40 

6748 

6655 

66  01 

40 

50 

73  49 

73  01 

72  13 

71  24 

70  34 

69  46 

6856 

68  06 

67  14 

66  24 

65  31 

64  39 

60 

6 

OO 

72  15 

71  27 

70  40 

69  52 

69  05 

68  15 

67  27 

6637 

6548 

6458 

64  07 

63  16 

6            00 

lO 

70  39 

69  53 

69  06 

68  20 

67  33 

6645 

6558 

65  xo 

64    21 

63  32 

62  42 

61  53 

10 

20 

69  05 

68  20 

67  34 

66  48 

66  02 

65  15 

64  29 

63  41 

.    62   54 

62  06 

6x  17 

60  28 

20 

30 

67  30 

6645 

65  59 

65  15 

64  3& 

63  44 

62  58 

62    12 

61    25 

60  39 

59  51 

59  «M 

30 

40 

65  53 

65  09 

64  25 

63  41 

62  57 

62  12 

6x  27 

60  42 

59  56 

59  10 

58  24 

5738 

40 

50 

64  16 

63  33 

62  50 

62  06 

61  23 

60  39 

59  55 

59  II 

58  27 

57  42 

5656 

56  I  I 

50 

7 

OO 

62  38 

61  56 

61  13 

60  30 

5948 

59  05 

58  22 

57  39 

56  55 

56  II 

55  27 

54  44 

7           00 

lO 

60  59 

60  17 

59  35 

5853 

58  12 

57  29 

5648 

56  05 

55  23 

54  40 

53  57 

53  14 

10 

20 

59  19 

5838 

57  57 

57  16 

56  35 

55  54 

55  13 

54  31 

53  49 

53  08 

52  25 

51  44 

20 

30 

57  37 

5656 

56  16 

55  37 

54  56 

54  17 

53  36 

52  56 

52  15 

51  35 

50  53 

50  13 

30 

40 

55  53 

55  14 

54  35 

53  ^ 

53  17 

52  37 

51  58 

51  19 

5040 

50  00 

49  19 

48  40 

40 

50 

54  09 

53  31 

52  53 

52  14 

51  36 

5058 

50  20 

49  41 

49  02 

4824 

47  45 

47  06 

50 

8 

OO 

52  23 

51  45 

51  07 

50  30 

49  53 

49  15 

4838 

48  01 

47  23 

46  46 

46  07 

45  30 

8           00 

lO 

50  34 

4958 

49  21 

48  44 

48  09 

47  32 

4656 

46  20 

45  43 

45  07 

44  29 

43  54 

10 

20 

48  44 

48  09 

47  33 

46  57 

46  22 

45  47 

45  II 

44  36 

44  01 

43  26 

42  49 

42  15 

20 

30 

46  53 

46  17 

45  43 

45  08 

44  35 

44  00 

43  25 

42  52 

42  18 

41  43 

4X  08 

40  34 

30 

40 

"   44  59 

44  25 

43  51 

43  17 

42  45 

42  12 

41  38 

41  05 

40  32 

39  59 

39  26 

38  53 

40 

50 

43  02 

42  30 

41  57 

41  25 

40  54 

40  21 

39  49 

39  17 

3844 

38  13 

-37  41 

37  10 

50 

9 

OO 

41  05 

40  32 

40  01 

39  30 

39  00 

38  28 

37  57 

37  27 

3656 

36  25 

35  55 

35  25 

9           00 

lO 

39  03 

38  33 

38  03 

37  33 

37  04 

3634 

36  04 

35  35 

35  05 

34  37 

34  07 

3338 

10 

20 

37  02 

3632 

36  04 

35  35 

35  06 

34  38 

34  10 

33  41 

33  13 

32  45 

32  17 

31  49 

20 

30 

34  56 

34  28 

34  00 

33  34 

33  07 

32  39 

32  13 

31  45 

31  19 

30  53 

30  26 

30  00 

30 

40 

32  49 

32  23 

31  57 

31  31 

31  05 

30  39 

30  13 

29  49 

29  23 

2858 

28  33 

28  08 

40 

50 

30  40 

30  15 

29  50 

29  26 

29  ox 

28  38 

28  13 

27  50 

27  26 

27  02 

26  38 

26  15 

50 

lO 

OO 

28  29 

28  05 

27  42 

27  19 

26  56 

26  34 

26  12 

25  49 

25  26 

25  05 

24  42 

24  21 

10           00 

lO 

26  15 

25  53 

25  31 

25  10 

24  49 

24  28 

24  07 

23  46 

23  26 

23  05 

22  44 

22  25 

10 

20 

23  59 

23  39 

23  19 

22  59 

22  40 

22  21 

22  ox 

21  43 

21  23 

21  04 

20  45 

20  27 

30 

30 

21  41 

21  24 

21  05 

20  47 

20  30 

20  12 

19  54 

19  37 

19  20 

19  03 

x8  46 

18  29 

30 

40 

19  22 

19  05 

18  49 

18  33 

18  17 

18  01 

17  45 

17  29 

17  14 

16  59 

16  44 

16  29 

40 

50 

17  01 

16  46 

16  32 

16  17 

16  03 

15  49 

15  36 

15  22 

15  08 

14  54 

14  40 

14  28 

50 

11 

OO 

14  38 

14  26 

14  12 

14  00 

1348 

13  36 

13  24 

13  13 

13  00 

12  48 

12  37 

12  26 

11           00 

lO 

12  14 

12  04 

II  53 

.    11  42 

II  32 

II  22 

II  II 

II  02 

10  52 

10  42 

10  32 

10  42 

10 

20 

9  49 

9  41 

9  31 

9  23 

9  15 

9  07 

859 

851 

8  43 

835 

827 

8  19 

20 

30 

7  22 

7  16 

7  09 

7  03 

657 

651 

6  44 

638 

633 

6  27 

6  20 

615 

30 

40 

4  55 

4  51 

4  47 

4  43 

4  38 

4  34 

4  30 

426 

4  22 

4  18 

4  14 

4  10 

40 

50 

2  28 

2  26 

2  23 

2  21 

2  X9 

2  17 

2  15 

2  X3 

2  II 

2  09 

2  07 

2  05 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12           00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned-  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


182 


AZIMUTH  OR  TRUE  BEARING. 


latitude:  44°. 

DKCWNATION- 

-SAME  NAME  AS— I.ATITUDE. 

I.ATITUDS:  44°. 

Hour  Angle. 

36° 

37° 

38° 

3»° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

Ii. 

m. 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

li.    ni. 

O 

OO 

i8o  cx> 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0  00 

0  00 

0    00 

lO 

165  43 

163  59 

161  43 

15838 

154  14 

147  34 

136  43 

118  00 

89  08 

59  50 

40  36 

29  24 

10  i 

20 

152  46 

149  50 

146  09 

141  29 

135  25 

127  26 

116  58 

103  41 

88  16 

72  36 

58  45 

47  41 

20 

30 

141  50 

138  21 

134  09 

129  08 

123  06 

115  55 

107  27 

97  49 

87  24 

76  47 

66  43 

57  39 

30 

40 

132  54 

129  18 

125  07 

120  20 

114  52 

108  42 

101  51 

94  24 

8631 

78  31 

70  43 

63  19 

40 

50 

125  42 

122  10 

n8  13 

113  51 

109  00 

103  44 

98  02 

91  57 

8539 

79  15 

72  52 

66  42 

50 

1 

OO 

119  49 

116  29 

1X2  50 

108  53 

104  36 

100  01 

95  09 

90  02 

84  46 

79  25 

74  04 

68  48 

1    00 

lO 

114  56 

in  50 

108  29 

104  53 

loi  05 

97  03 

92  49 

88  25 

83  54 

79  18 

74  40 

70  06 

10 

20 

no  50 

107  57 

104  52 

loi  37 

98  II 

94  35 

90  51 

8659 

83  01 

7859 

74  55 

70  53 

20 

30 

107  18 

104  37 

101  46 

98  48 

95  42 

92  28 

89  07 

8539 

82  08 

78  33 

74  55 

71  17 

30 

40 

104  12 

loi  43 

99  05 

96  21 

93  30 

90  35 

87  33 

84  26 

81  15 

78  00 

74  44 

71  27 

40 

60 

loi  27 

99  07 

96  41 

94  10 

91  34 

88  52 

86  05 

83  15 

80  21 

77  24 

74  25 

•71  25 

50 

2 

OO 

9858 

96  48 

94  31 

92  II 

8946 

87  17 

84  43 

82  07 

79  27 

76  45 

74  00 

71  15 

2     00 

lO 

96  43 

94  40 

92  33 

90  22 

88  06 

85  48 

83  26 

81  01 

78  33 

76  03 

73  31 

70  57 

10 

30 

94  37 

92  42 

90  42 

8839 

8633 

84  23 

82  12 

79  56 

77  39 

75  19 

72  57 

70  34 

20 

30 

92  41 

90  51 

88  59 

87  03 

8505 

83  03 

80  59 

7853 

76  44 

74  33 

72  17 

70  06 

30 

40 

90  51 

89  07 

87  20 

8531 

83  39 

81  45 

7948 

77  50 

75  49 

73  45 

71  41 

6936 

40 

50 

89  07 

87  28 

85  47 

84  03 

82  17 

80  30 

78  40 

76  47 

74  53 

72  57 

70  59 

69  01 

50 

3 

OO 

8727 

8553 

84  17 

82  38 

8058 

79  16 

77  31 

75  45 

73  57 

72  07 

70  15 

68  23 

3     00 

lO 

85  51 

84  22 

82  50 

81  16 

79  41 

7803 

76  23 

74  43 

73  00 

71  16 

69  30 

67  43 

10  ; 

20 

84  19 

!^53 

81  25 

79  56 

78  25 

76  52 

75  17 

73  41 

72  03 

70  24 

6843 

67  01 

20 

30 

82  50 

81  28 

80  03 

7837 

77  10 

75  41 

74  II 

72  39 

71  05 

69.31 

67  54 

66  17 

30 

40 

81  22 

80  03 

7842 

77  20 

75  56 

74  31 

73  05 

71  37 

70  07 

6835 

67  04 

65  32 

40 

50 

79  57 

78  42 

77  23 

76  04 

74  44 

73  21 

71  58 

70  35 

69  08 

67  41 

66  13 

64  44 

50 

4 

OO 

78  34 

77  20 

76  05 

74  49 

73  31 

72  12 

70  52 

69  32 

68  09 

66  45 

65  20 

63  55 

4     00 

lO 

77  10 

75  59 

74  47 

73  33 

72  18 

71  03 

69  46 

68  28 

67  08 

65  48 

64  26 

63  05 

10 

20 

75  49 

74  40 

73  31 

72  19 

71  07 

69  54 

68  40 

67  24 

66  08 

64  50 

63  32 

62  13 

20 

30 

74  28 

73  21 

72  14 

71  05 

69  55 

68  44 

67  33 

66  20 

6506 

63  51 

62  35 

61  19 

30 

40 

7308 

72  04 

70  57 

69  50 

68  43 

67  35 

66  25 

65  15 

64  04 

62  52 

61  38 

60  25 

40 

50 

71  48 

70  45 

69  41 

6837 

67  31 

6625 

65  18 

64  09 

63  01 

61  51 

60  39 

5928 

50 

5 

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70  27 

69  26 

68  24 

67  22 

66  18 

65  14 

64  09 

63  03 

61  56 

60  48 

59  40 

5831 

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10 

69  07 

68  09 

67ik 

66  07 

6506 

64  04 

63  00 

61  57 

60  51 

59  46 

58  39 

57  32 

10 

20 

67  48 

66  50 

64  52 

63  52 

62  52 

61  51 

60  48 

5946 

58  42 

57  38 

56  33 

20 

30 

66  28 

65  32 

64  34 

63  37 

62  39 

61  40 

60  43 

59  40 

58  39 

57  37 

5636 

55  32 

30 

40 

65  06 

64  13 

63  17 

62  20 

61  24 

60  27 

59  29 

58  30 

57  31 

56  31 

55  30 

54  30 

40 

50 

63  46 

62  53 

61 59 

61  04 

60  10 

59  13 

58  17 

57  20 

56  23 

55  24 

54  26 

53  26 

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6 

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61  32 

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59  47 

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585: 

58  00 

57  99 

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55  28 

54  35 

53  43 

52  50 

51  57 

51  02 

50  08 

20 

30 

58  15 

57  28 

56  39 

55  49 

54  59 

54  10 

53  19 

52  28 

51  37 

50  45 

49  53 

49  00 

30 

40 

56  51 

56  04 

55  17 

54  28 

53  40 

52  51 

52  02 

51  13 

50  23 

49  32 

48  41 

47  50 

40 

50 

55  25 

54  39 

53  53 

53  07 

52  20 

51  32 

50  44 

49  56 

49  07 

48  18 

47  29 

46  39 

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7 

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41  49 

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41  49 

41  08 

40  27 

39  47 

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50 

8 

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44  52 

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42  19 

41  40 

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41  04 

40  28 

39  52 

39  16 

38  41 

38  04 

37  28 

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31  48 

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30  54 

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2958 

29  31 

29  04 

2835 

28  07 

27  39 

27  12 

26  43 

26  15 

20 

30 

29  33 

29  07 

28  41 

28  14 

27  48 

27  22 

26  55 

26  29 

26  03 

25  36 

25  09 

24  43 

30 

40 

27  43 

27  18 

26  53 

26  28 

26  04 

25  39 

25  14 

24  50 

24  25 

24  00 

23  35 

23  10 

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25  51 

25  28 

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23  32 

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20  24 

20  04 

19  44 

19  24 

19  05 

18  44 

18  24 

10 

20 

20  08 

19  50 

19  32 

19  14 

1855 

18  37 

18  18 

18  00 

17  42 

17  24 

17  05 

16  47 

20 

30 

18  11 

17  55 

17  38 

17  22 

17  05 

16  48 

16  31 

16  15 

15  59 

15  43 

15  26 

15  09 

30 

40 

16  13 

15  59 

15  43 

15  28 

15  13 

14  59 

14  44 

14  29 

14  14 

14  00 

13  45 

13  30 

40 

50 

14  14 

14  01 

13  48 

13  35 

13  22 

13  09 

12  56 

12  42 

12  30 

12  17 

12  04 

II  51 

50 

11 

OO 

12  14 

12  02 

II  51 

II  40 

II  28 

11  17 

II  06 

10  55 

10  44 

10  33 

10  22 

10  10 

11     00 

lO 

10  13 

10  03 

9  5) 

9  45 

9  35 

9  25 

9  16 

9  07 

8  58 

8  48 

8  39 

8  30 

10 

20 

8  II 

8  04 

7  56 

7  49 

7  41 

7  34 

7  26 

7  19 

7  II 

7  03 

656 

6  49 

20 

30 

6  09 

6  03 

558 

5  52 

5  46 

5  40 

5  34 

5  29 

5  23 

5  18 

5  13 

5  07 

30 

40 

4  06 

4  02 

358 

3  55 

3  51 

3  47 

3  44 

3  40 

336 

3  32 

328 

3  24 

40 

50 

2  03 

2  01 

I  59 

I  57 

I  56 

I  54 

I  52 

I  50 

I  48 

I  46 

I  44 

I  42 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East ;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East ;  and 
when  the  star  is  setting. or  We.st  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


183 


AZIMUTH  OR  TRUE  BEARING. 


I^ATITUDE  44°. 

DECLINATION- 

■SAME  NAME  AS— LATITUDE 

liATITUDE  44°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

b. 

in. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

li.    ni. 

O 

OO 

O  OO 

0  00 

0  00 

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0  00 

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0  00 

0  00 

0  00 

0  00 

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22  35 

18  06 

14  57 

12  40 

10  53 

9  31 

823 

728 

6  41 

6  01 

5  27 

4  57  ; 

10 

20 

39  12 

32  45 

27  48 

23  56 

20  51 

18  22 

16  17 

14  34 

13  06 

II  50 

10  44 

948  ' 

20 

30 

49  50 

43  15 

37  45 

33  11 

29  21 

26  09 

23  24 

21  05 

19  04 

17  18 

15  46 

1423 

30 

40 

56  32 

50  27 

45  05 

40  23 

36  16 

32  42 

29  34 

26  51 

24  26 

22  18 

20  24 
24  30 

1842 

40 

50 

60  52 

55  24 

50  24 

45  51 

41  45 

38  04 

34  45 

31  47 

29  09 

26  44 

22  38 

50 

1 

OO 

63  42 

58  50 

54  16 

49  59 

46  OI 

42  23 

39  02 

36  00 

33  13 

30  39 

38  20 

26  II 

1     00 

lO 

65  37 

61  14 

57  04 

5306 

49  21 

45  50 

42  33 

39  30 

36  40 

34  02 

31  37 

2921 

10 

20 

66  52 

6256 

59  08 

55  27 

51  55 

48  34 

45  23 

42  24 

39  35 

3656 

34  27 

32  08 

20 

30 

67  41 

64  07 

60  37 

57  13 

53  54 

5045 

47  42 

44  47 

42  01 

39  24 

36  55 

34  34 

30 

40 

68  10 

64  54 

61  42 

58  32 

55  26 

52  27 

49  32 

46  44 

44  03 

41  29 

39  01 

3^  41 

40 

50 

68  25 

65  25 

62  26 

59  29 

5635 

53  46 

51  00 

48  19 

45  44 

43  13 

4048 

38  28 

50 

2 

OO 

68  28 

65  41 

62  55 

60  10 

5727 

54  47 

52  09 

49  35 

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44  39 

42  18 

4001 

2     00 

lO 

68  22 

65  47 

63  12 

6038 

58  04 

55  33 

53  03 

50  36 

48  12 

45  50 

43  33 

41  19 

10 

20 

68  10 

65  44 

63  19 

60  54 

58  29 

56  05 

53  43 

51  23 

49  04 

46  48 

44  35 

42  24 

20 

30 

67  51 

65  34 

63  18 

61  02 

5844 

56  28 

54  13 

51  58 

49  45 

47  34 

4525 

43  18 

30 

40 

67  28 

65  19 

63  10 

61  02 

5851 

5641 

5432 

52  24 

50  16 

4809 

4605 

44  01 

40 

50 

67  00 

64  59 

62  56 

60  54 

5851 

56  47 

54  43 

5?  40 

50  37 

4836 

4636 

44  36 

50 

3 

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66  29 

64  34 

62  38 

60  41 

58  43 

56  46 

54  48 

52  50 

50  52 

4855 

46  59 

45  03 

3     00 

lO 

65  54 

64  05 

62  14 

60  24 

58  31 

5638 

54  46 

52  52 

50  59 

49  07 

47  14 

45  22 

10 

20 

65  18 

63  34 

61  48 

60  02 

58  14 

56  27 

5438 

52  50 

51  01 

49  13 

47  24 

45  35 

20 

30 

64  38 

62  59 

61  18 

59  36 

57  53 

56  10 

54  26 

52  42 

50  57 

49  12 

47  27 

45  42 

30 

40 

6356 

62  22 

60  45 

59  07 

57  29 

55  49 

54  10 

52  29 

50  48 

49  06 

47  26 

45  44 

40 

50 

63  13 

61  42 

60  09 

58  35 

57  00 

55  25 

53  49 

52  12 

50  37 

48  57 

47  19 

45  40 

50 

4 

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62  28 

60  59 

59  31 

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5€  30 

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53  24 

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50  17 

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45  32 

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61  40 

60  15 

5850 

57  23 

55  55 

54  27 

52  57 

51  28 

49  57 

48  25 

40  53 

45  20 

10 

20 

60  51 

59  29 

58  07 

56  44 

55  19 

53  53 

52  27 

51  00 

49  33 

48  04 

46  36 

45  05 

20 

30 

60  01 

58  42 

57  23 

56  02 

54  40 

53  18 

51  54 

50-31 

49  05 

47  39 

46  13 

44  46 

30 

40 

59  09 

57  53 

5636 

55  18 

53  59 

52  39 

51  18 

4958 

4836 

47  12 

4548 

44  25 

40 

50 

57  02 

5548 

54  32 

53  15 

51  59 

5041 

49  22 

4803 

46  42 

45  21 

43  59 

50 

5 

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57  20 

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53  44 

52  30 

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50  00 

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50  24 

55  15 

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51  43 

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44  17 

43  00 

10 

20 

55  26 

54  20 

53  12 

52  <H 

50  54 

49  44 

48  33 

47  22 

46  09 

44  56 

43  42 

42  27 

20 

30 

54  27 

53  23 

52  17 

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47  47 

4638 

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SO 

40 

53  27 

52  24 

51  21 

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45  51 

44  43 

43  34 

42  25 

41  14 

40 

50 

52  26 

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49  20 

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45  04 

43  57 

42  50 

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6 

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51  22 

50  23 

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50  18 

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44  23 

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41  17 

40  13 

39  09 

10 

20 

49  13 

48  18 

47-21 

46  24 

45  25 

44  27 

43  28 

42  29 

41  30 

40  27 

39  26 
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20 

30 

48  06 

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46  17 

45  22 

44  26 

43  29 

42  32 

41  34 

40  35 

39  36 

3736 

30 

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40  37 

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37  45 

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40 

50 

45  48 

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42  21 

41  28 

40  34 

39  40 

38  44 

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36  53 

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7 

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41  24 

40  38 

39  51 

39  03 

38  15 

37  25 

36  37 

35  46 

34  56 

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33  14 

20 

30 

40  57 

40  12 

39  27 

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37  54 

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33  56 

33  07 

32  16 

30 

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36  44 

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35  13 

34  28 

33  41 

32  54 

32  06 

31  18 

40 

50 

38  23 

37  41 

36  59 

36  17 

35  33 

34  49 

34  05 

33  21 

32  36 

31  50 

31  05 

30  19 

50 

8 

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37  04 

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30  22 

29  41 

28  58 

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20 

34  22 

33  45 

33  08 

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30  33 

29  52 

29  13 

28  33 

27  52 

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20 

30 

33  00 

32  24 

31  47 

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30  33 

2956 

29  19 

28  41 

28  03 

27  24 

26  45 

26  06 

30 

40 

31  36 

31  01 

30  26 

29  51 

29  16 

28  40 

28  03 

27  28 

26  51 

26  14 

25  37 

25  00 

40 

50 

30  10 

29  37 

29  04 

28  30 

27  56 

27  23 

26  48 

20  14 

2538 

25  03 

24  28 

23  53 

50 

9 

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28  44 

28  12 

27  41 

27  08 

2636 

26  04 

25  31 

2458 

24  25 

23  51 

23  18 

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27  16 

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26  15 

25  45 

25  15 

24  44 

24  13 

23  42 

23  10 

22  38 

22  07 

21  34 

10 

20 

25  46 

25  19 

24  50 

24  21 

23  52 

23  23 

22  54 

22  24 

21  54 

21  25 

20  54 

20  24 

20 

30 

24  16 

23  49 

23  22 

22  56 

22  28 

22  01 

21  33 

21  06 

20  37 

20  10 

19  41 

19  12 

30 

40 

22  45 

22  19 

21  55 

21  29 

21  03 

20  38 

20  12 

19  46 

19  19 

18  53 

18  26 

18  00 

40 

50 

21  12 

20  49 

20  26 

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19  37 

19  13 

1849 

18  25 

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19  39 

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17  49 

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16  41 

16  18 

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17  04 

16  43 

16  22 

16  02 

15  42 

15  21 

14  59 

14  38 

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16  29 

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1552 

15  34 

15  15 

14  57 

14  38 

14  19 

13  59 

13  40 

13  21 

13  02 

20 

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14  36 

14  20 

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13  46 

13  29 

13  12 

12  55 

12  38 

12  20 

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30 

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13  16 

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12  31 

12  16 

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11  15 

10  59 

1045 

10  29 

40 

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10  58 

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10  32 

10  19 

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9  39 

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50 

11 

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9  59 

948 

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9  25 

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8  40 

8  28 

8  16 

8  05 

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11     00 

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8  20 

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8  01 

7  52 

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7  33 

7  24 

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6  45 

635 

10 

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6  41 

633 

6  26 

6  18 

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6  03 

5  55 

5  47 

5  40 

5  32 

5  25 

5'^ 

20 

30 

5  01 

4  55 

4  49 

4  44 

4  39 

4  32 

4  27 

4  21 

4  16 

4  09 

4  03 

358 

30 

40 

3  20 

3'f 

3  13 

3  09 

3  05 

3  02 

258 

2  54 

2  51 

2  46 

2  43 

238 

40 

50 

I  40 

I  38 

136 

I  35 

I  33 

I  31 

I  29 

I  27 

I  25 

I  22 

I  21 

I  19 

50 

12 

OO 

0  00 

0  00 

0  00 

0  CX) 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  tneridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


184 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  44°. 

DECLINATION— SAME  NAME  AS- 

-LATITUDE. 

latitude:  44°. 

Honr  Angle. 

60° 

61° 

62° 

63° 

64° 

66° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle.  ' 

b. 

m. 

o  / 

0  t 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

b.     ni. 

O 

OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

4  31 

4  08 

3  47 

3  29 

3  u 

2  57 

2  42 

2  30 

2  18 

2.07 

I  56 

10 

20 

8  57 

8  12 

7  31 

655 

6  21 

5  51 

5  24 

4  58 

4  35 

4  13 

3  53 

20 

30 

13  II 

12  05 

II  07 

10  15 

9  25 

8  42 

8  01 

7  24 

6  49 

6  17 

5  47 

30 

40 

17  10 

15  48 

14  33 

13  25 

12  23 

II  26 

10  33 

9  45 

9  01 

8  19 

7  40 

40 

50 

20  52 

19  16 

17  47 

16  26 

15  12 

14  03 

13  00 

12  01 

II  07 

10  15 

9  28 

SO 

1 

OO 

24  13 

22  26 

20  47 

19  16 

17  51 

16  33 

15  19 

14  II 

13  08 

12  09 

11  13 

1     00  1 

lO 

27  16 

25  20 

23  32 

21  52 

20  19 

18  52 

17  31 

16  14 

15  03 

13  57 

12  53 

10 

20 

29  58 

27  56 

26  02 

24  15 

22  36 

21  02 

19  33 

18  10 

16  52 

15  38 

14  29 

20  1 

30 

32  21 

30  16 

28  18 

26  26 

24  40 

23  02 

21  27 

19  58 

18  35 

17  15 

16  00 

30 

40 

34  26 

32  19 

30  18 

28  23 

^  ^ 

24  51 

23  12 

21  38 

20  09 

18  46 

17  25 

40 

50 

36  15 

34  07 

32  05 

30  07 

28 16 

26  30 

24  47 

23  10 

21  38 

20  10 

18  45 

60 

3 

OO 

37  47 

35  41 

33  39 

31  41 

29  47 

27  59 

26  15 

24  35 

22  59 

21  28 

19  59 

a   00 

lO 

39  09 

37  02 

35  00 

33  03 

31 09 

29  19 

27  33 

25  51 

24  13 

22  39 

21  08 

10 

20 

40  16 

38  12 

36  12 

34  15 

32  21 

30  30 

28  43 

27  00 

25  22 

23  45 

22  10 

20 

30 

41  13 

39  II 

37  13 

35  16 

33  23 

31  33 

29  46 

28  01 

26  21 

24  43 

23  oS 

30 

40 

42  00 

40  01 

38  04 

36  II 

34 17 

32  28 

30  41 

28  56 

27  15 

25  36 

23  59 

40 

50 

4238 

40  41 

38  48 

36  55 

35  03 

33  15 

31  28 

29  44 

28  02 

26  23 

24  46 

50 

3 

00 

43  08 

41  14 

39  23 

37  32 

35  43 

33  55 

32  10 

30  26 

28  44 

27  05 

25  28 

3     00 

lO 

43  30 

41  40 

39  51 

38  02 

36 15 

34  30 

32  45 

31  01 

29  21 

27  42 

26  04 

10 

20 

43  47 

41  59 

40  12 

38  26 

36  41 

34  57 

33  '4 

31  32 

29  52 

28  14 

26  36 

20 

30 

43  57 

42  12 

40  29 

38  44 

37  01 

35  20 

33  38 

31  57 

30  18 

28  41 

27  03 

30 

40 

44  01 

42  20 

40  38 

38  57 

37 16 

35  36 

33  56 

32  17 

30  39 

29  03 

27  26 

40 

50 

44  01 

42  23 

40  44 

39  04 

37  26 

3548 

34  10 

32  33 

30  57 

29  21 

27  45 

50 

4 

OO 

43  57 

42  21 

40  45 

3908 

37  32 

35  56 

34  19 

32  43 

31  09 

29  34 

28  00 

4     00 

lO 

43  48 

42  15 

40  41 

39  06 

37  32 

35  59 

34  24 

32  51 

31  17 

29  44 

28  II 

10 

20 

43  34 

42  04 

40  33 

39  01 

.  37  29 

35  58 

34  26 

32  54 

31  22 

29  50 

28  19 

20 

30 

43  18 

41  50 

40  22 

3853 

37  23 

35  54 

34  23 

32  53 

31  22 

29  53 

28  22 

30 

40 

42  59 

41  33 

40  07 

38  40 

37 13 

35  46 

34  17 

32  49 

31  21 

29  52 

28  23 

40 

50 

42  37 

41  12 

39  49 

38  24 

37  00 

35  35 

34  08 

32  42 

31  16 

29  49 

28  21 

50 

5 

OO 

42  if 

40  49 

39  28 

38  05 

36  42 

35  20 

33  56 

32  31 

31  07 

29  42 

28  15 

5     00 

10 

41  42 

40  23 

39  04 

37  45 

36  23 

35  03 

33  40 

32  18 

30  55 

29  33 

28  08 

10 

20 

41  12 

39  55 

3838 

37  20 

36  01 

34  43 

33  22 

32  01 

30  41 

29  19 

2758 

20 

30 

40  39 

39  23 

3809 

36  54 

35  37 

34  20 

33  02 

31  43 

30  24 

29  05 

27  44 

30 

40 

40  02 

38  51 

37  38 

36  24 

35 10 

33  55 

3238 

31  22 

30  05 

28  47 

27  28 

40 

50 

39  26 

38  15 

37  05 

35  52 

34  40 

33  27 

32  13 

3058 

29  43 

28  27 

27  10 

60 

6 

00 

38  46 

37  37 

36  29 

35  19 

34  09 

32  58 

31  45 

30  32 

29  19 

28  05 

26  50 

6     00 

lO 

3803 

36  57 

35  51 

34  43 

33  35 

32  26 

31  15 

30  05 

28  53 

27  42 

26  28 

10 

20 

37  20 

36  15 

35  II 

34  05 

32  59 

31  52 

30  43 

29  35 

28  25 

27  15 

26  04 

20 

30 

36  34 

35  32 

34  30 

33  25 

32  20 

31  15 

30  09 

29  03 

27  55 

26  47 

25  37 

30 

40 

35  46 

34  46 

33  46 

32  43 

31 41 

3038 

29  33 

2i29 

27  23 

26  17 

25  09 

40 

50 

3458 

33  59 

33  00 

32  01 

31 00 

29  59 

28  56 

27  53 

26  50 

25  45 

24  40 

50 

7 

OO 

34  07 

33  11 

32  13 

31  15 

30 17 

29  18 

28  17 

27  16 

26  14 

25  II 

24  08 

7     00 

lO 

33  15 

32  20 

31  25 

30  28 

29  32 

2i46 

28  35 

27  36 

26  37 

25  37 

24  37 

23  35 

10 

20 

32  21 

31  28 

30  35 

29  40 

27  50 

26  53 

25  56 

2458 

24  CO 

23  00 

20 

30 

31  25 

30  34 

29  43 

28  51 

,  27  58 

27  04 

26  09 

25  14 

24  18 

23  21 

22  23 

30 

40 

30  29 

29  39 

28  50 

27  59 

27  08 

26  17 

25  24 

24  31 

23  36 

22  41 

21  45 

40 

50 

29  31 

28  44 

27  56 

27  07 

26  17 

25  27 

24  37 

23  45 

22  53 

22  01 

21  07 

50 

8 

OO 

28  32 

27  45 

27  00 

26  13 

25  25 

24  37 

23  48 

.  22  59 

22  08 

21  18 

20  26 

8     00 

lO 

27  31 

26  47 

26  03 

25  18 

24  32 

23  46 

22  58 

22  II 

21  23 

20  35 

19  45 

10 

20 

26  29 

25  47 

25  05 

24  21 

23  37 

22  53 

22  07 

21  22 

20  37 

19  50 

19  03 

20 

30 

25  26 

24  45 

24  05 

23  23 

22  42 

21  59 

21  16 

20  32 

19  48 

19  03 

18  18 

30  ; 

40 

24  22 

23  42 

23  04 

22  25 

21  44 

21  04 

20  23 
19  28 

19  41 

1859 

18  16 

17  33 

40  ; 

50 

23  16 

22  39 

22  01 

21  24 

20  47 

20  07 

18  48 

18  09 

17  28 

16  47 

50  I 

9 

OO 

22  09 

21  33 

20  59 

20  23 

1946 

19  10 

18  33 

17  55 

17  18 

16  39 

15  59 

9     00 

lO 

21  02 

20  28 

19  55 

19  20 

18  47 

18  12 

17  37 

17  01 

16  25 

15  49 

15  12 

10 

20 

19  53 

19  21 

18  50 

18  18 

17  46 

17  13 

16  40 

16  06 

15  32 

14  58 

14  22 

20 

30 

18  44 

i8  13 

17  45 

17  14 

16  43 

16  13 

15  41 

15  ID 

1438 

14  06 

13  32 

30 

40 

1732 

17  04 

16  37 

16  09 

15  41 

15  12 

14  43 

14  13 

13  43 

13  13 

12  42 

40 

50 

16  21 

15  55 

15  29 

15  04 

14  37 

14  10 

13  43 

13  15 

12  48 

12  20 

II  50 

50 

lO 

OO 

15  09 

14  45 

14  21 

13  57 

13  32 

13  08 

12  42 

12  17 

II  52 

II  25 

10  59 

10     00 

lO 

13  56 

13  34 

13  12 

12  50 

12  27 

12  05 

II  41 

II  18 

10  54 

10  30 

10  06 

10 

20 

12  42 

12  22 

12  02 

II  42 

II  21 

II  01 

10  40 

10  18 

9  57 

9  35 

9  13 

20 

30 

II  27 

II  10 

10  51 

10  34 

10  15 

9  57 

9  37 

9  19 

858 

8  39 

8  19 

30 

40 

10  14 

9  57 

9  40 

9  24 

9  08 

8  51 

8  35 

8  17 

8  00 

7  43 

7  25 

40 

50 

857 

8  43 

S  30 

8  15 

8  01 

7  46 

7  31 

7  16 

7  01 

6  46 

6  30 

50 

11 

OO 

7  42 

7  29 

7  17 

7  04 

652 

6  40 

6  28 

615 

6  02 

5  49 

5  35 

11     00 

lO 

6  25 

6  15. 

6  05 

5  54 

5  45 

5  34 

5  24 

5  12 

5  02 

4  50 

4  40 

10 

20 

5  09 

5  01 

4  53 

4  45 

4  36 

4  28 

4  19 

4  10 

4  02 

3  53 

3  44 

20 

30 

3  52 

3  45 

3  39 

3  33 

3  27 

3  21 

3  14 

308 

3  01 

2  55 

2  48 

30 

40 

2  34 

2  31 

2  26 

2  22 

2  19 

2  14 

2  10 

2  05 

2  01 

I  57 

I  52 

40 

50 

1  17 

I  15 

I  13 

I  II 

I  09 

I  07 

I  05 

I  03 

I  02 

0  59 

0  56 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

1 

In  North  latitude,  when  the  star  is  rising:  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  W^st. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


185 


AZIMUTH  OR  TRUE  BEARING. 


latitvdb:  4 

5°. 

DECIJNATION— 

SAME  NAME  AS— LATITUDE 

I^ATITUDE  45°. 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32'^ 

33° 

34° 

35° 

Hour  Angle,  j 

b.     in. 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  t 

0  / 

0  / 

0  / 

0  1 

0  / 

li.    m. 

O     OO 

180  CX3 

180  00 

180  00 

180  00 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

173  39 

173  23 

173  07 

172  49 

172  29 

172  06 

171  41 

171  II 

170  38 

169  59 

169  14 

168  21 

10 

20 

167  24 

16655 

166  23 

165  47 

165  09 

164  25 

163  36 

162  41 

161  38 

160  26 

159  02 

157  23 

20 

30 

161  19 

160  38 

159  52 

159  02 

158  08 

157  07 

'55  59 

154  43 

153  17 

151  39 

149  47 

147  38 

30 

40 

155  32 

154  39 

153  42 

152  40 

151  32 

150  18 

148  56 

147  24 

145  42 

143  47 

141  38 

139  12 

40 

50 

150  02 

149  02 

147  56 

146  44 

145  27 

144  03 

142  30 

140  49 

138  56 

136  53 

134  40 

132  02 

50 

1    00 

144  54 

143  47 

142  34 

141  16 

139  52 

138  22 

136  43 

134  56 

132  59 

130  51 

128  32 

125  59 

1    00 

10 

140  05 

138  54 

137  37 

136  15 

134  47 

133  12 

131  30 

129  41 

127  44 

125  35 

123  17 

120  48 

10 

20 

135  37 

134  23 

133  03 

131  39 

130  09 

128  33 

126  50 

125  01 

123  04 

120  58 

118  44 

116  21 

20 

30 

131  29 

130  13 

128  51 

127  26 

125  56 

124  19 

122  37 

120  50 

118  56 

116  53 

114  44 

112  27 

30 

40 

127  38 

126  22 

125  00 

123  34 

122  04 

120  31 

1x8  50 

117  04 

115  14 

113  16 

III  12 

109  01 

40 

60 

124  05 

122  47 

121  27 

120  02 

"8  33 

117  01 

115  22 

113  40 

III  53 

no  00 

108  02 

10558 

50 

2     00 

120  46 

119  29 

118  oS 

116  44 

115  18 

"3  47 

112  12 

no  34 

108  50 

107  02 

105  09 

103  II 

2     00 

10 

117  39 

116  24 

115  05 

"3  43 

112  18 

no  50 

109  17 

107  42 

106  03 

104  19 

102  32 

100  40 

10  . 

20 

114  45 

113  30 

112  13 

"0  53 

109^1 

108  05 

106  36 

105  04 

103  29 

1 01  49 

100  07 

98  21 

20 

30 

112  01 

no  48 

109  33 

108  15 

106  55 

105  32 

104  05 

102  37 

loi  05 

99  30 

97  52 

96  II 

30 

40 

109  27 

108  15 

107  01 

105  45 

104  27 

103  07 

loi  43 

100  18 

9850 

97  19 

95  45 

94  09 

40 

60 

107  00 

105  51 

10438 

103  24 

102  08 

100  50 

99  30 

98  08 

96  43 

95  15 

93  46 

92  13 

50 

3     00 

104  41 

103  32 

102  23 

loi  10 

99  57 

98  41 

97  24 

9605 

9442 

93  18 

91  53 

90  24 

3    00 

10 

102  28 

lOI  21 

100  12 

99  02 

97  52 

9638 

95  23 

94  06 

92  47 

§'  ^ 

90  04 

88  39 

10 

20 

itx)  20 

99  15 

9809 

97  00 

95  51 

94  41 

93  27 

92  13 

90  57 

8938 

88  19 

86  58 

20 

30 

98  18 

97  15 

96  09 

95  03 

93  56 

92  47 

91  36 

90  25 

89  II 

87  55 

86  39 

85  20 

30 

40 

96  20 

95  17 

94  14 

93  09 

92  04 

9058 

8949 

87  28 

86  15 

85  01 

83  46 

40 

50 

94  25 

93  25 

92  23 

91  20 

90  16 

89  II 

88  05 

86  P 

8548 

8437 

83  26 

82  13 

50 

4     00 

92  33 

91  35 

90  35 

8933 

88  31 

8728 

8623 

85  18 

84  II 

8303 

81  54 

8043 

4     00 

10 

90  45 

89  47 

88  48 

87  49 

86  48 

8546 

8444 

83  41 

8236 

81  29 

80  22 

79  14 

10 

20 

89  00 

88  03 

87  05 

8607 

8508 

84  08 

83  07 

82  06 

81  03 

79  58 

78  53 

77  47 

20 

30 

87  19 

86  20 

8524 

84  27 

83  29 

82  31 

81  32 

80  32 

79  30 

•  78  28 

77  25 

76  20 

30 

40 

8534 

84  40 

8345 

82  49 

8153 

8056 

79  57 

79  00 

78  00 

7658 

7558 

74  55 

40 

50 

8353 

83  01 

82  08 

Si  12 

80  17 

79  21 

7825 

7728 

7630 

7531 

74  31 

73  30 

50 

5     00 

82  13 

81  22 

80  29 

79  35 

78  41 

7748 

76  53 

75  57 

75  01 

74  02 

73  05 

72  05 

5     00 

10 

80  35 

79  45 

7852 

78  01 

7708 

76  15 

75  21 

74  27 

73  32 

72  35 

71  39 

70  41 

10 

20 

7858 

7809 

77  18 

76  27 

75  36 

74  43 

73  51 

7258 

72  03 

71  08 

70  13 

69  17 

20 

30 

77  21 

76  32 

75  42 

74  52 

74  02 

73  II 

72  20 

71  28 

70  35 

69  41 

68  48 

67  53 

30 

40 

•75  45 

74  57 

74  07 

73  19 

72  29 

71  39 
7008 

7049 

6958 
68  29 

6906 

68  14 

67  22 

66  29 

40 

60 

74  09 

73  21 

72  33 

71  45 

70  56 

69  19 

67  39 

66  48 

65  57 

65  05 

50 

6     00 

72  32 

71  45 

70  59 

70  12 

69  24 

6836 

67  48 

67  00 

66  10 

65  20 

64  30 

63  39 

6     00 

10 

70  55 

70  09 

69  24 

6837 

67  50 

67  03 

66  17 

65  29 

64  41 

63  52 

63  03 

62  14 

10 

20 

69  18 

6834 

6748 

67  03 

66  17 

65  32 

6445 

6359 

63  12 

62  24 

61  37 

60  48 

20 

30 

67  40 

6657 

66  12 

65  27 

64  43 

6358 

63  13 

62  28 

61  42 

6055 

60  08 

59  21 

30 

40 

6603 

65  19 

64  35 

63  52 

6308 

62  24 

61  41 

6056 

60  10 

59  24 

5839 

57  53 

40 

50 

64  24 

63  41 

62  58 

62  16 

61  33 

60  50 

60  06 

59  23 

5839 

57  55 

57  10 

56  25 

50 

7     00 

62  45 

62  02 

61  21 

6038 

59  57 

59H 

5832 

57  49 

57  06 

56  23 

55  40 

54  55 

7     00 

10 

61  03 

60  22 

59  41 

59  00 

58  19 

5738 

56  57 

56  14 

55  32 

54  50 

54  08 

53  25 

10 

20 

59  21 

58  42 

58  01 

57  20 

56  40 

55  59 

55  19 

54  39 

53  58 

53  17 

52  35 

51  53 

20 

30 

5738 

57  00 

56  20 

55  41 

55  01 

54  22 

53  41 

53  02 

52  22 

51  41 

51  02 

50  21 

30 

40 

55  54 

55  16 

54  37 

5358 

53  20 

52  41 

52  03 

51  24 

50  45 

5S°5 

49  27 

4847 

40 

50 

54  09 

53  31 

52  53 

52  16 

51  38 

51  00 

50  22 

49  45 

49  06 

48  28 

47  50 

47  II 

50 

8     00 

52  20 

51  44 

51  07 

5030 

49  54 

49  17 

48  39 

48  03 

47  26 

46  49 

46  12 

45  34 

8     00 

10 

50  32 

49  56 

49  20 

48  43 

48  08 

47  33 

4656 

46  21 

45  45 

45  09 

44  33 

43  57 

10 

20 

48  41 

48  06 

47  30 

46  56 

46  21 

45  46 

45  12 

44  37 

44  02 

43  26 

42  52 

42  17 

20 

30 

46  47 

46  14 

45  40 

45  06 

44  32 

43  59 

43  25 

42  52 

42  18 

41  44 

41  10 

40  36 

30 

40 

44  53 

44  20 

43  47 

43  14 

42  41 

42  09 

41  36 

4'  05 

40  32 

3958 

39  26 

3853 

40 

50 

42  56 

42  25 

41  52 

41  21 

40  49 

40  16 

39  45 

39  15 

3844 

38  12 

37  41 

37  09 

60 

9     00 

40  57 

40  26 

39  55 

39  25 

3!  54 

38  25 

37  54 

37  24 

36  54 

36  23 

35  54 

35  24 

9     00 

10 

3857 

3827 

37  56 

37  27 

3658 

36  30 

36  01 

35  32 

35  03 

34  34 

34  05 

33  36 

10 

20 

36  54 

36  25 

3556 

35  29 

'  35  01 

34  33 

34  06 

3338 

33  10 

32  42 

32  15 

31  47 

20 

30 

34  49 

34  21 

33  54 

33  27 

33  00 

32  34 

32  08 

31  43 

31  16 

30  50 

30  24 

29  58 

30 

40 

32  41 

32  15 

31  49 

31  24 

30  59 

30  34 

30  09 

29  45 

29  20 

28  55 

28  31 

28  05 

40 

50 

30  32 

30  07 

29  43 

29  20 

28  55 

28  32 

28  09 

27  45 

27  22 

2659 

26  35 

26  12 

50 

10     00 

28  20 

2758 

27  35 

27  13 

26  50 

26  28 

26  06 

25  44 

25  23 

25  01 

2439 

24  18 

10    00 

10 

26  07 

25  45 

25  24 

25  05 

24  44 

24  23 

24  02 

23  42 

23  22 

23  01 

22  41 

22  22 

10 

20 

23  51 

23  32 

23  12 

22  53 

22  34 

22  16 

21  56 

21  38 

21  19 

21  00 

20  43 

20  25 

20 

30 

21  34 

21  17 

20  59 

20  41 

20  24 

20  07 

19  49 

19  33 

19  15 

18  59 

1843 

18  26 

30 

40 

19  15 

1859 

1843 

18  27 

18  II 

17  57 

17  41 

17  26 

17  II 

.1656 

16  41 

16  26 

40 

50 

16  55 

16  40 

16  26 

16  12 

1558 

1545 

15  32 

15  18 

1505 

14  51 

14  39 

14  25 

50 

11     00 

14  32 

14  20 

14  08 

13  55 

13  44 

13  32 

13  20 

13  09 

12  57 

12  46 

12  34 

12  23 

11     00 

10 

12  09 

11  59 

II  48 

"  39 

II  28 

II  19 

II  09 

10  59 

10  49 

10  40 

10  31 

10  21 

10 

20 

9  45 

9  37 

9  28 

9  20 

9  12 

9  05 

857 

849 

8  41 

832 

825 

8  17 

20 

30 

7  20 

7  13 

7  07 

7  00 

654 

6  48 

643 

637 

631 

625 

6  19 

6  14 

30 

40 

4  53 

4  49 

4  45 

4  41 

4  37 

4  33 

4  29 

4  25 

4  21 

4  17 

4  14 

4  09 

40 

50 

2  27 

2  25 

2  23 

2  21 

2  19 

2  16 

2  14 

2  13 

2  II 

2  08 

2  06 

2  05 

50 

12     00 

0  00 

0  00 

0  00 

0  C» 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitnde,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitode,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitnde  and  derlinatlon  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle,  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


186 


AZIMUTH    OR  TRUE    BEARING. 


latitude:  46°. 

DECtvINATION- 

-SAME 

NAME  AS— LATITUDE. 

LATITUDE  45°. 

Hour 

Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

il. 

in. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

II.    ni. 

o 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0  00 

0    00 

lO 

167  15 

165  53 

164  II 

161  57 

158  54 

154  35 

147  58 

137  10 

118  24 

89  07 

59  25 

40  04 

10 

20 

155  26 

153  04 

150  10 

146  31 

141  54 

135  51 

127  51 

117  20 

103  54 

88  14 

72  18 

58  17 

20 

30 

145  08 

142  12 

138  43 

134  32 

129  33 

123  30 

116  15 

107  43 

97  56 

87  21 

76  35 

66  20 

30 

40 

136  26 

133  16 

129  39 

125  29 

120  41 

115  II. 

108  59 

102  01 

94  27 

86  28 

78  20 

70  23 

40 

60 

129  13 

126  03 

122  29 

118  32 

114  09 

109  17 

103  55 

98  oS 

92  00 

85  34 

79  03 

72  35 

50 

1 

OO 

123  11 

120  07 

116  46 

113  07 

109  07 

104  48 

100  09 

95  14 

■  90  03 

84  41 

79  14 

73  47 

1     00 

10 

118  07 

115  12 

112  04 

108  42 

105  05 

loi  14 

97  09 

92  51 

88  24 

S3  47 

79  06 

74  25 

10 

20 

"3  47 

III  03 

108  08 

105  02 

loi  45 

98  17 

94  39 

90  51 

8655 

82  54 

7848 

■74  39 

20 

30 

no  02 

107  28 

104  46 

loi  54 

9854 

95  46 

92  29 

8905 

8535 

82  00 

78  21 

74  39 

30 

40 

106  44 

104  20 

loi  49 

99  10 

96  24 

93  33 

90  34 

87  29 

84  19 

81  05 

77  48 

74  28 

40 

60 

103  49 

loi  33 

99  II 

96  44 

94  12 

91  33 

88  49 

86  01 

83  08 

80  11 

77  II 

74  09 

50 

2 

OO 

loi  10 

09  02 

96  50 

94  32 

92  II 

89  44 

87  13 

84  36 

81  59 

79  16 

76  31 

73  44 

2     00 

10 

98  45 

96  45 

94  40 

92  32 

90  20 

88  03 

85  42 

83  19 

80  51 

78  21 

7548 

73  13 

10 

20 

96  31 

94  37 

92  41 

90  39 

8836 

86  27 

84  17 

.82  03 

79  45 

77  26 

75  04 

72  40 

20 

30 

94  27 

92  39 

90  48 

8855 

8657 

8457 

8255 

80  49 

7841 

76  30 

74  17 

72  02 

30 

40 

92  30 

90  47 

8903 

37  16 

85  24 

83  31 

81  36 

79  37 

77  37 

75  34 

73  30 

71  22 

40 

60 

90  39 

89  01 

87  22 

85  40 

83  55 

82  08 

80  19 

78  27 

76  33 

74  37 

72  40 

70  40 

50 

3 

OO 

8853 

87  21 

8545 

84  08 

82  29 

8047 

79  04 

77  18 

75  31 

73  41 

71  50 

6956 

3     00 

10 

87  12 

85  44 

84  13 

82  40 

8i  06 

7928 

77  50 

76  09 

74  27 

72  43 

70  58 

69  10 

10 

20 

8535 

84  10 

82  43 

81  14 

79  44 

78  12 

76  37 

75  02 

73  24 

71  45 

70  04 

68  22 

20 

30 

84  01 

82  39 

81  15 

79  51 

78  23 

7656 

75  26 

73  54 

72  21 

70  46 

69  10 

67  33 

30 

40 

82  29 

81  10 

79  50 

78  28 

77  05 

75  40 

74  15 

72  47 

71  18 

69  47 

68  16 

66  42 

40 

60 

8059 

79  44 

7826 

77  08 

75  48 

74  26 

73  04 

71  40 

70  14 

6848 

67  20 

65  49 

50 

4 

OO 

79  32 

78  19 

77  04 

75  48 

74  31 

73  14 

71  54 

70  33 

69  II 

67  48 

6623 

64  57 

4     00 

lO 

78  05 

76  55 

75  42 

74  29 

73  15 

72  00 

70  43 

69  25 

68  06 

66  46 

65  25 

64  02 

10 

20 

76  40 

75  31 

74  21 

73  II 

72  00 

70  47 

69  34 

68  18 

67  02 

65  45 

64  26 

63  07 

20 

SO 

75  16 

74  09 

73  02 

71  54 

70  45 

69  34 

68  23 

67  u 

65  57 

64  43 

63  26 

62  10 

30 

40 

73  52 

72  48 

71  43 

70  37 

69  30 

68  22 

67  13 

66  02 

64  51 

63  40 

62  27 

61  13 

40 

60 

72  29 

71  26 

70  24 

69  19 

68  15 

67  09 

66  02 

64  54 

63  46 

62  36 

61  26 

60  16 

50 

5 

OO 

71  07 

70  05 

69  04 

68  02 

6659 

65  55 

64  51 

63  45 

62  39 

61  31 

60  23 

59  13 

5     00 

lO 

69  44 

6845 

67  45 

6645 

65  44 

64  41 

63  40 

62  35 

61  30 

60  26 

59  19 

58  12 

10 

20 

68  21 

67  24 

66  26 

65  27 

64  28 

63  27 

62  27 

61  25 

60  22 

59  19 

58  15 

57  10 

20 

30 

6659 

66  03 

65  07 

64  09 

63  12 

62  13 

61  14 

60  14 

59  13 

58  12 

5,  10 

56  07 

30 

40 

65  33 

64  41 

63  46 

62  51 

61  55 

6058 

60  00 

59  02 

58  03 

57  03 

56  03 

55.03 

40 

60 

64  13 

63  20 

62  26 

61  32 

60  37 

59  42 

5846 

57  49 

56  53 

55  54 

54  56 

53  56 

50 

6 

OO 

62  48 

61  57 

61  05 

60  13 

59  19 

5825- 

57  31 

5636 

55  40 

£4  44 

53  47 

52  49 

6     00 

lO 

61  24 

60  33 

59  43 

58  52 

58  01 

57  08 

56  15 

55  21 

54  27 

53  33 

52  38 

51  41 

10 

20 

60  00 

59  II 

58  21 

57  31 

56  41 

55  49 

54  59 

54  06 

53  13 

52  21 

51  28 

50  33 

20 

30 

58  34 

57  46 

5658 

56  09 

55  20 

54  31 

53  41 

52  50 

51  59 

51  07 

50  15 

49  22 

30 

40 

5708 

56  21 

55  34 

54  47 

5358 

53  II 

52  22 

51  33 

50  43 

49  53 

49  02 

48  II 

40 

50 

55  40 

54  55 

54  09 

53  23 

52  36 

51  49 

51  03 

50  15 

49  26 

48  37 

47  48 

4658 

50 

7 

00 

54  13 

53  27 

52  43 

51  58 

51  13 

50  27 

49  41 

48  55 

48  07 

47  20 

46  33 

45  45 

7     00 

lO 

52  43 

51  59 

51  15 

50  32 

49  48 

49  03 

48  19 

47  33 

46  48 

46  02 

45  17 

44  29 

10 

20 

51  12 

50  30 

49  47 

49  05 

48  23 

47  39 

46  56 

46  12 

45  27 

44  43 

43  58 

43  13 

20 

30 

49  41 

48  59 

48  18 

47  37 

4655 

46  14 

45  32 

44  49 

44  06 

43  23 

42  39 

41  55 

30 

40 

48  08 

47  27 

46  47 

46  07 

45  28 

44  48 

44  06 

43  24 

42  43 

42  01 

41  20 

40  36 

40 

50 

46  34 

45  55 

45  16 

44  37 

43  58 

43  19 

42  39 

41  59 

41  19 

40  38 

3958 

39  17 

60 

8 

OO 

44  58 

44  20 

43  43 

43  05 

42  27 

41  49 

41  IC 

40  31 

39  52 

39  14 

38  34 

37  54 

8     00 

lO 

43  21 

42  44 

42  08 

41  32 

40  55 

40  18 

39  41 

39  04 

38  26 

37  48 

37  II 

36  32 

10 

20 

41  43 

41  07 

40  32 

39  57 

39  21 

3845 

38  II 

37  33 

5658 

36  22 

35  46 

3508 

20 

30 

40  03 

39  29 

3854 

38  20 

37  46 

37  12 

3638 

36  03 

35  29 

34  53 

34  19 

33  43 

30 

40 

38  21 

37  48 

37  16 

36  43 

36  10 

35  37 

35  05 

34  31 

3358 

33  24 

32  51 

32  17 

40 

60 

36  39 

36  07 

35  35 

35  05 

34  32 

34  01 

33  30 

3258 

32  26 

31  54 

31  21 

30  49 

50 

9 

OO 

34  54 

34  24 

33  54 

33  23 

32  53 

32  23 

31  54 

31  23 

30  53 

30  22 

29  52 

29  20 

9     00 

lO 

33  08 

32  39 

32  10 

31  42 

31  13 

30  44 

30  15 

2946 

29  17 

28  48 

28  20 

27.50 

10 

20 

31  21 

30  54 

30  26 

29  59 

29  32 

29  04 

28  37 

28 '09 

27  41 

27  14 

26  47 

26  19 

20 

30 

29  32 

29  06 

28  40 

28  14 

27  48 

27  23 

26  57 

26  30 

26  05 

25  39 

25  12 

24  46 

30 

40 

27  39 

27  17 

26  52 

26  28 

26  05 

25  40 

25  15 

24  50 

24  26 

24  02 

23  37 

23  13 

40 

60 

25  50 

25  27 

25  04 

24  42 

.  24  18 

23  56 

23  33 

23  10 

22  47 

22  24 

22  01 

21  38 

50 

lO 

OO 

23  57 

23  35 

23  14 

22  53 

22  31 

22  10 

21  49 

21  27 

21  06 

20  45 

20  24 

20  02 

10     00 

lO 

22  02 

21  42 

21  23 

21  03 

20  43 

20  23 

20  04 

19  44 

19  25 

19  05 

18  45 

18  26 

10 

20 

20  07 

19  48 

19  30 

19  13 

18  54 

1836 

18  18 

18  01 

17  42 

17  25 

17  06 

16  48 

20 

30 

18  10 

17  53 

17  37 

17  20 

17  04 

16  48 

16  32 

16  16 

15  59 

15  43 

15  26 

15  10 

30 

40 

16  12 

15  56 

15  41 

15  28 

15  13 

14  58 

14  44 

14  29 

14  14 

14  00 

13  45 

13  31 

40 

50 

14  13 

13  59 

13  46 

13  33 

13  20 

13  08 

12  55 

12  42 

12  29 

12  17 

12  04 

II  51 

60 

11 

00 

12  13 

12  01 

II  50 

11  39 

II  28 

II  17 

II  05 

10  55 

10  44 

10  33 

10  22 

10  II 

11     00 

10 

10  12 

10  02 

9  53 

9  44 

9  34 

9  25 

9  15 

9  06 

8  58 

8  48 

839 

8  30 

10 

20 

8  10 

8  03 

7  55 

7  47 

7  40 

7  32 

726 

7  18 

7  II 

7  03 

656 

6  49 

20 

30 

6  08 

6  02 

556 

5  51 

5  45 

5  40 

5  34 

528 

5  23 

5  18 

5  ^l 

506 

30 

40 

4  05 

4  02 

358 

3  55 

3  51 

3  47 

3  43 

3  40 

336 

3  32 

3  28 

3  25 

40 

60 

2  03 

2  01 

I  59 

I  57 

I  55 

I  54 

I  52 

I  50 

I  48 

I  46 

I  44 

I  42 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Korth  latltnde,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latltnde,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  liame,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


187 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  45''. 

DECLINATIOX— 

SAME  NAME  AS— I^ATITUDE. 

LiATITCTDE  45°. 

Honr  Angle. 

48° 

49° 

50° 

51° 

52° 

530 

54° 

55° 

56°  { 

57° 

58° 

59° 

Hour  Angle. 

b.    m. 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

li.    ni. 

O    OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

28  57 

22  II 

17  45 

14  39 

12  24 

10  39 

9  17 

8  10 

716 

6  30 

5  51 

5  18 

10 

20 

47  08 

38  38 

32  13 

27  18 

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20  25 

17  58 

1556 

14  13 

12  47 

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10  27 

20 

30 

57  10 

49  16 

42  40 

37  II 

32  37 

2849 

25  37 

22  55 

2035 

1833 

16  52 

15  20 

30 

40 

62  53 

56  01 

49  53 

4428 

39  46 

35  40 

32  05 

2859 

26  15 

23  52 
28  31 

21  44 

19  53 

40 
50 

50 

66  18 

60  22 

54  52 

49  48 

45  14 

41  07 

37  26 

34  07 

31  09 

26  07 

23  59 

1    00 

68  26 

63  16 

58  19 

53  41 

49  23 

45  23 

41  43 

38  22 

35  18 

32  32 

2959 

27  39 

1    00 

10 

69  45 

65  II 

60  46 

56  32 

52  30 

48  43 

45  10 

41  52 

3848 

3558 

33  19 

30  54 

10 

20 

70  32 

66  28 

62  28 

5836 

54  53 
56  40 

51  18 

47  56 

44  43 

41  42 

3852 

36  12 

33  43 
36  IO 

20 

30 

70  58 

67  17 

63  40 

60  07 

53  18 

50  06 

47  01 

4405 

41  19 

38  40 

30 

40 

71  08 

67  47 

64  29 

61  12 

57  59 

54  51 

51  49 

48  52 

4603 

43  20 

40  44 

38  15 

40 

50 

71  06 

68  02 

64  59 

61  57 

6858 

56  02 

53  09 

50  22 

47  38 

45  01 

42  28 

40  02 

50 

2    00 

70  55 

68  06 

65  16 

62  27 

59  40 

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54  II 

51  31 

48  55 

46  25 

43  55 

41  32 

2    00 

10 

70  38 

68  01 

65  23 

62  45 

60  08 

57  31 

54  57 

52  25 

49  55 

47  29 

45  06 

42  47 

10 

20 

70  14 

67  48 

65  20 

62  52 

60  24 

57  57 

55  31 

53  06 

50  43 

4823 

46  04 

43  49 

20 

30 

69  46 

67  29 

65  10 

62  50 

60  31 

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55  53 

53  36 

51  19 

49  05 

46  51 

44  40 

30 
40 

40 

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67  05 

64  54 

62  43 

60  31 

58  19 

56  07 

53  56 

51  45 

49  35 

47  27 

45  20 

50 

68  40 

6637 

64  33 

62  29 

60  24 

58  19 

56  14 

5408 

52  03 

49  58 

47  54 

45  52 

50 

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62  10 

60  12 

58  12 

56  12 

54  12 

52  12 

50  13 

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46  15 

3    00 

10 

67  22 

65  31 

63  40 

61  47 

59  55 

58  00 

5606 

54  10 

52  16 

50  20 

48  26 

46  34 

10 

20 

6638 

64  53 

6308 

61  21 

59  32 

57  43 

55  54 

5403 

52  13 

50  23 

48  32 

46  41 

20 

30 

65  54 

64  14 

62  32 

60  50 

59  06 

57  22 

55  37 

53  52 

52  06 

50  18 

"^31 

46- 45 

30 

40 

65  07 

63  32 

61  55 

60  16 

5838 

56  57 

55  17 

53  35 

51  52 

50  10 

48  26 

46  44 

40 

50 

64  20 

62  47 

61  15 

59  40 

5805 

56  29 

54  53 

53  15 

51  36 

4958 

48  i3 

4638 

50 

4    00 

63  30 

62  02 

60  33 

59  °2 

57  31 

55  58 

54  25 

52  51 

51  16 

49  40 

48  OJ 

47  46 

46  27 

4    00 

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62  39 

61  14 

59  49 

58  21 

56  53 

55  25 

53  55 

52  23 

50  51 

49  20 

46  13 

10 

20 

61  46 

60  24 

59  02 

57  38 

56  13 

54  47 

53  21 

51  53 

50  25 

48  55 

47  25 

45  54 

20 

30 

6053 

59  34 

58  14 

56  52 

55  31 

5408 

52  45 

51  20 

49  54 

48  28 

47  01 

45  34 

30 
40 

40 

59  57 

58  4t 

57  25 

5606 

54  47 

53  27 

52  07 

50  44 

49  22 

4758 

46  34 

45  09 

60 

59  01 

57  47 

56  33 

55  17 

54  01 

5244 

51  26 

50  06 

48  46 

47  26 

46  04 

44  41 

50 

5    00 

58  03 

56  52 

55  40 

54  27 

53  13 

51  59 

50  43 

49  26 

48  08 

46  50 

45  32 

44  II 

5    00 
10 
20 
30 
40 
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10 

57  04 

55  55 

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53  35 

52  23 

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4958 

48  44 

47  29 

46  13 

44  56 

43  39 

20 

5604 

54  58 

53  50 

52  41 

51  32 

50  22 

49  II 
48  22 

47  59 

4647 

45  33 

44  19 

43  03 

30 

55  03 

53  58 

52  53 

51  46 

50  39 

49  31 

47  13 

46  02 

44  52 

43  39 

42  26 

40 

5401 

52  57 

51  54 

50  49 

49  45 

48  39 

47  32 

46  24 

45  17 

4408 

42  57 

41  47 

50 

52  57 

51  55 

50  54 

49  52 

48  49 

47  45 

46  40 

45  34 

44  28 

43  21 

42  13 

41  05 

6    00 

51  51 

50  52 

49  53 

48  53 

47  51 

4649 

45  47 

44  43 

43  39 

42  34 

41  29 

40  22 

6    00 

10 

5045 

49  48 

48  50 

47  51 

4652 

45  51 

44  50 

43  49 

4248 

41  44 

4041 

3936 

10 
20 
30 
40 

20 

4938 

48  42 

47  47 

46  49 

45  51 

44  53 

43  55 

42  55 

41  54 

40  54 

39  52 

3849 

30 

4829 

47  35 

46  41 

45  46 

4450 

43  53 

42  57 

41  58 

41  00 

40  01 

^t°l 

38  00 

40 

47  19 

46  27 

45  34 

44  41 

43  46 

42  51 

41  57 

41  00 

40  04 

39  06 

38  08 

37  09 

50 

46  08 

45  18 

44  26 

43  34 

42  41 

41  48 

40  55 

40  00 

39  06 

38  10 

37  14 

36  17 

SO 

7    00 

44  56 

44  07 

43  19 

42  27 

41  35 

4044 

39  53 

3900 

3807 

37  13 

36  18 

35  24 

7    00 

10 

43  43 

42  54 

42  06 

41  17 

40  28 

39  39 

3848 

37  57 

37  06 

36  15 

35  21 

34  28 

10 
20 
30 
40 
50 

20 

42  28 

41  41 

40  55 

40  07 

39  20 

38  30 

37  43 

36  54 

36  04 

35  14 

34  23 

33  32 

30 

41  12 

40  27 

39  42 
3827 

3856 

38  10 

37  23 

3636 

3548 

35  01 

34  12 

33  23 

32  33 

40 

P!^ 

39  10 

37  43 

3659 

36  13 

35  29 

3442 

33  56 

33  09 

32  21 

31  34 

50 

37  53 

37  " 

36  29 

35  46 

35  03 

34  19 

33  35 

32  49 

3205 

31  19 

3033 

8    00 

37  H 

36  34 

35  54 
34  36 

35  13 

34  32 

33  50 

33  69 

32  24 

31  43 

3058 

30  15 

29  31 

8    00 
10 
20 

10 

35  54 

35  16 

33  57 

33  16 

32  37 

31  57 

31  15 

30  33 

29  52 

29  iO 

28  27 

20 

34  32 

33  55 

33  16 

32  38 

32  00 

31  22 

30  43 

30  03 

29  24 
28  13 

28  44 

28  03 

2723 

30 

33  07 

32  28 

31  56 

31  20 

30  43 

30  06 

2928 

28  50 

27  35 

26  55 

26  16 

30 

40 

31  43 

31  08 

30  34 

29  59 

29  24 

28  49 

28  14 

27  37 

27  01 

26  24 

2547 

25  09 

40 

50 

30  16 

29  44 

29  II 

28  38 

28  04 

27  30 

2656 

26  22 

25  47 

25  12 

2437 

24  01 

SO 

9    00 

28  49 

28  18 

27  46 

27  14 

26  43 

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25  38 

25  05 

24  33 

23  59 

23  26 

22  52 

9     00 

10 

27  20 

26  51 

26  21 

2550 

25  21 

24  50 

24  20 

2348 

23  17 

22  45 

22  14 

21  42 

10 
20 
30 

20 

25  51 

25  23 

24  55 

24  26 

2358 

23  28 

23  00 

22  30 

22  01 

21  31 

21  01 

20  31 

30 

24  20 

23  54 

23  26 

23  00 

22  33 

22  06 

21  39 

21  II 

20  43 

20  15 

19  47 

19  18 

40 

22  48 

22  24 

21  58 

21  33 

21  07 

20  42 

20  17 

19  50 

19  25 

18  58 

18  32 

18  06 

40 

SO 

50 

21  15 

20  52 

20  28 

20  05 

19  42 

19  17 

1854 

18  29 

18  05 

17  41 

17  17 

16  52 

10    00 

'ill 
18  06 

19  20 

1859 

18  35 

18  14 

17  52 

17  30 

17  07 

16  45 

16  23 

16  00 

15  37 

10    00 

10 

17  46 

17  27 

17  06 

16  47 

16  26 

16  06 

15  45 

15  24 

15  03 

14  42 

14  22 

10 
20 
30 
40 
SO 

20 

16  31 

16  12 

15  54 

15  35 

15  18 

14  59 

14  41 

14  22 

14  03 

13  43 

13  24 

13  05 

30 

14  54 

14  37 

14  21 

14  04 

-1348 

13  31 

13  14 

12  57 

12  41 

12  23 

12  06 

II  49 

40 

13  16 

13  02 

12  47 

12  33 

12  17 

12  02 

II  48 

II  33 

II  18 

II  02 

10  47 

10  31 

50 

"  39 

II  26 

II  13 

10  59 

10  46 

10  34 

10  21 

lo  08 

954 

941 

927 

9  13 

11    00 

10  00 

9  49 

938 

9  27 

9  15 

9  04 

853 

842 

8  3D 

8  19 

8  07 

7  55 

11    00 

10 

8  21 

8  12 

8  03 

7  53 

7  43 

7  34 

7  24 

7  15 

706 

657 

647 

6  36 

10 

20 

6  42 

634 

627 

6  19 

6  II 

6  04 

5  57 

5  49 

540 

5  33 

5  25 

5  ^7 

20 

30 

5  01 

455 

4  50 

4  44 

4  39 

4  33 

4  28 

4  21 

4  16 

4  II 

404 

358 

30 

40 

3  20 

3  'Z 

3  13 

3  09 

306 

3  02 

2  59 

2  55- 

2  50 

247 

243 

2  39 

40 

60 

I  40 

138 

I  37 

I  35 

I  33 

I  31 

I  29 

I  27 

I  25 

I  23 

I  21 

I  19 

SO 

12    00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  Jforth  latitude,  when  the  star  is  rising  or.  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


188 


AZIMUTH  OR  TRUE  BEARING. 


liATlTUDE  4 

o'^. 

DECI.INATION— SAME  NAME  AS- 

-LATITUDE. 

liATITUDE  45°. 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b. 

ni. 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

"  0  1 

0  / 

0  / 

li.    ni. 

O 

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0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

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4  49 

4  23 

4  00 

3  40 

3  21 

3  05 

2  50 

236 

2  24 

2  12 

2  01 

10 

20 

9  31 

8  41 

756 

7  16 

5  40 

6  07 

■  538. 

5  II 

4  45 

4  22 

4  01 

20 

30 

14  00 

12  48 

II  43 

10  46 

■9  53 

9  06 

8  23 

7  42 

7  05 

631 

6  00 

30 

40 

18  12 

16  41 

15  20 

14  06 

12  59 

11  57 

II  01 

10  09 

9  22 

837 

756 

40 

60 

22  02 

20  18 

18  42 

17  14 

15  55 

14  41 

13  33 

12  31 

II  33 

10  38 

9  49 

50 

1 

OO 

25  32 

23  36 

21  49 

20  10 

18  39 

17  15 

15  57 

14  45 

13  37 

12  36 

11  37 

1     00 

10 

28  39 

26  34 

24  39 

22  52 

21  13 

19  39 

18  13 

16  53 

15  37 

14  26 

13  21 

10 

20 

31  24 

29  14 

27  13 

25  19 

23  32 

21  53 

20  19 

18  52 

17  29 

16  II 

14  58 

20 

30 

33  4S 

31  35 

29  30 

27  32 

25  39 

23  54 

22  16 

20  43 

19  14 

17  50 

16  32 

30 

40 

35  53 

33  40 

31  32 

29  30 

27  36 

25  46 

24  02 

22  25 

20  51 

19  23 

18  00 

40 

50 

37  41 

35  27 

33  18 

31  16 

29  19 

27  27 

25  40 

2358 

22  21 

20  48 

19  21 

50 

2 

OO 

39  14 

37  00 

34  53 

32  49 

30  51 

2857 

27  08 

25  24 

23  43 

22  08 

20  36 

2     00 

10 

40  32 

38  20 

36  13 

34  10 

32  12 

30  17 

•  28  26 

26  41 

2458 

23  20 

21  45 

10 

20 

41  37 

39  28 

37  23 

35  21 

33  23 

31  28 

29  37 

27  50 

26  06 

24  25 

22  49 

20 

30 

42  31 

40  26 

38  22 

36  22 

34  25 

32  30 

30  39 

28  51 

27  06 

25  25 

23  48 

30 

40 

43  16 

41  13 

39  12 

37  14 

35  18 

33  24 

31  33" 

29  45 

28  00 

26  18 

24.39 

40 

50 

43  51 

41  52 

39  53 

37  57 

36  02 

34  II 

32  21 

30  33 

28  48 

27  06 

25  25 

50 

3 

OO 

44  18 

42  21 

40  26 

38,32 

36  41 

34  49 

33  01 

31  14 

29  29 

27  47 

26  07 

3     00 

lO 

44  37 

42  45 

40  52 

39  01 

37  II 

35  22 

33  35 

31  50 

30  05 

28  23 

26  43 

10 

20 

44  50 

43  01 

41  II 

39  23 

37  35 

35  49 

34  03 

32  19 

30  35 

28  54 

27  15 

20 

30 

44  58 

43  12 

41  26 

39  39 

37  54 

36  09 

34  26 

32  42 

31  01 

29  20 

27  42 

30 

40 

45  00 

43  17 

41  33 

39  50 

38  07 

36  24 

34  43 

33  02 

31  21 

29  42 

28  03 

40 

50 

44  55 

43  17 

41  36 

39  55 

38  15 

3634 

34  55 

33  15 

31  36 

29  58 

28  22 

50 

4 

OO 

44  49 

43  13 

41  35 

39  56 

38  18 

36  41 

35  03 

33  25 

31  48 

30  II 

28  35 

4     00 

10 

44  38 

43  04 

41  29 

39  53 

38  19 

36  42 

35  06 

33  31 

31  55 

30  21 

28  46 

10 

20 

44  23 

42  52 

41  19 

39  46 

38  14 

36  40 

35  06 

33  33 

31  59 

30  25 

28  52 

20 

30 

44  04 

42  36 

41  06 

39  35 

■  38  05 

36  34 

35  02 

33  31 

31  59 

30  26 

28  55 

30 

40 

43  42 

42  16 

40  48 

39  21 

37  54 

36  24 

34  55 

33  25 

31  56 

30  25 

28  55 

40 

50 

43  18 

41  54 

40  29 

39  04 

3738 

36  II 

34  44 

33  17 

31  49 

30  21 

28  52 

50 

5 

OO 

42  50 

41  29 

40  07 

3843 

37  20 

35  55 

34  30 

33  05 

31  38 

30  12 

28  46 

5     00 

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42  19 

41  02 

39  41 

38  19 

3658 

35  37 

34  13 

32  50 

31  26 

30  02 

2837 

10 

20 

41  47 

40  30 

39  12 

37  54 

36  35 

35  15 

33  54 

32  32 

31  ID 

29  48 

28  25 

20 

30 

41  12 

3958 

38  42 

37  25 

36  09 

34  50 

33  32 

32  12 

30  53 

29  33 

28  II 

30 

40 

40  35 

39  22 

38  09 

36  54 

35  40 

34  24 

33  07 

31  50 

30  32 

29  13 

27  54 
2736 

40 

50 

39  55 

38  45 

37  34 

36  21 

35  09 

33  56 

32  41 

31  26 

30  09 

28  52 

60 

6 

OO 

39  14 

3806 

36  57 

35  46 

3436 

33  24 

32  12 

30  59 

29  45 

28  30 

27  15 

6     00 

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38  30 

37  24 

36  17 

35  09 

34  00 

32  51 

31  41 

30  29 

29  18 

28  05 

26  51 

10 

20 

37  45 

36  41 

35  36 

34  30 

33  23 

32  15 

31  07 

29  58 

28  48 

27  37 

26  27 

20 

30 

3658 

35  56 

34  53 

33  49 

32  44 

31  39 

30  33 

29  25 

28  17 

27  08 

25  58 

30 

40 

36  10 

35  09 

34  08 

33  06 

32  03 

31  00 

29  55 

28  50 

27  44 

26  37 

25  30 

40 

50 

35  19 

34  21 

33  21 

32  22 

31  21 

30  20 

29  17 

28  13 

27  ID 

26  05 

24  59 

50 

7 

OO 

34  27 

33  31 

32  33 

31  35 

30  37 

29  37 

2837 

27  35 

26  33 

25  30 

24  26 

7     00 

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33  34 

32  40 

31  43 

30  48 

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28  53 

27  55 

26  54 

25  55 

24  54 

23  53 

10 

20 

32  39 

31  46 

3t>  53 

2958 

29  03 

28  07 

27  II 

26  13 

25  15 

24  16 

23  17 

20 

30 

31  43 

30  52 

29  59 

29  07 

28  14 

27  21 

26  26 

25  31 

24  34 

23  37 

22  40 

30 

40 

30  46 

29  56 

29  05 

28  14 

27  24 

26  32 

25  39 

24  45 

23  51 

22  57 

22  01 

40 

50 

29  46 

28  59 

28  10 

27  22 

26  32 

25  42 

24  51 

24  00 

23  08 

22  15 

21  21 

50 

8 

OO 

2845 

28  00 

27  13 

26  26 

25  39 

24  51 

24  02 

23  12 

22  22 

21  31 

20  39 

8     00 

lO 

27  43 

27  00 

26  16 

25  31 

24  45 

23  59 

23  12 

22  24 

21  36 

20  47 

19  57 

10 

20 

26  41 

25  59 

25  16 

24  33 

23  49 

23  05 

.  22  20 

21  35 

20  48 

20  01 

19  14 

20 

30 

25  37 

24  57 

24  16 

23  34 

22  52 

22  10 

21  28 

20  44 

20  00 

19  14 

18  29 

30 

40 

24  31 

23  54 

23  14 

22  35 

21  55 

21  15 

20  34 

19  52 

19  09 

18  26 

17  44 

40 

50 

23  24 

22  48 

22  12 

21  34 

20  56 

20  18 

19  38 

1859 

18  19 

1738 

16  57 

50 

» 

OO 

22  18 

21  43 

21  07 

20  32 

1956 

19  19 

18  43 

18  04 

17  26 

16  48 

16  09 

9     00 

lO 

21  09 

20  37 

20  03 

19  29 

18  55 

18  20 

17  45 

17  10 

16  34 

15  57 

15  20 

10 

20 

19  59 

19  29 

1857 

18  25 

17.54 

17  21 

16  48 

16  14 

15  40 

15  05 

14  31 

20 

30 

18  49 

18  21 

17  51 

17  20 

16  50 

16  20 

15  49 

15  18 

14  46 

14  13 

13  40 

30 

40 

17  38 

17  II 

16  44 

16  15 

15  47 

15  19 

14  50 

14  20 

13  50 

13  19 

12  49 

40 

50 

16  26 

i6  01 

15  36 

15  09 

14  43 

14  17 

13  50 

13  21 

12  53 

12  25 

II  57 

50 

lO 

OO 

15  14 

14  50 

14  27 

14  02 

13  38 

13  14 

12  48 

12  23 

II  57 

II  30 

II  04 

10     00 

lO 

14  00 

13  39 

13  16 

12  54 

12  31 

12  10 

II  46 

II  23 

10  59 

10  35 

10  II 

10 

20 

12  46 

12  27 

12  07 

II  46 

II  26 

II  05 

10  44 

10  22 

10  01 

9  40 

9  18 

20 

30 

II  31 

II  14 

10  55 

10  37 

ID  19 

10  01 

9  41 

9  22 

9  02 

8  43 

8  20 

30 

40 

10  16 

10  00 

9  43 

9  28 

9  II 

855 

838 

8  20 

8  "03 

7  46 

728 

40 

50 

9  00 

8  46 

8  32 

8  18 

8  04 

7  49 

7  34 

7  20 

7  04 

6  49 

6  34 

50 

11 

OO 

7  44 

7  31 

^   720 

7  08 

655 

6  43 

631 

6  18 

6  05 

5  51 

538 

11     00 

lO 

6  26 

617 

6  06 

5  57 

5  46 

536 

,  526 

5  15 

•5  04 

4  53 

4  42 

10 

20 

5  09 

5  02 

4  54 

4  46 

4  38 

4  29 

4  21 

4  12 

4  04 

3  55 

3  45 

20 

30 

3  53 

3  47 

3  41 

3  34 

3  28 

3  22 

3  10 

3  10 

3  03 

256 

2  49 

30 

40 

2  35 

2  31 

2  27 

3.23 

2  19 

2  14 

2  II 

2  07 

2  02 

I  58 

I  53 

40 

50 

X  18 

I  iC 

I  13 

I  II 

I  09 

I  37 

I  05 

I  03 

I  01 

0  59 

0  57 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  ^orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearinc. 


189 


AZIMUTH    OR   TRUE    BEARING. 


I.AT1TUDE  46^. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  46°. 

Honr  Angle. 

24^ 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Sour  Angle. 

b. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  /  1 

0  » 

0  / 

0  / 

0  / 

li.    ni. 

O 

OO 

i8o  c» 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

173  55 

173  42 

173  27 

173  II 

172  53 

172  33 

172  II 

171  46 

171  17 

170  44 

170  06 

169  22 

10 

20 

167  55 

167  29 

167  00 

166  29 

165  54 

165  17 

164  34 

163  46 

162  52 

161  50 

160  38 

159  16 

20 

30 

162  05 

160  28 

160  47 

160  01 

159  12 

158  18 

157  19 

156  12 

154  56 

153  32  1 

151  54 

150  05 

30 

40 

156  29 

155  41 

154  49 

153  54 

152  53 

151  45 

150  32 

149  10 

147  39 

145  59 

144  06 

141  58 

40 

50 

151  09 

150  14 

149  14 

148  08 

14658 

145  42 

144  18 

142  47 

141  06 

139  16 

137  12 

134  56 

50  1 

1 

OO 

146  07 

145  05  ! 

144  00 

142  48 

141  31 

140  07 

13837 

137  00 

135  14 

133  17 

131  09 

128  52 

1    00 

lO 

141  25 

140  17 

139  06 

137  50 

136  28 

135  01 

13328 

131  47 

129  57 

128  00 

125  52 

123  35 

10 

20 

136  59 

135  51 

134  36 

133  17 

131  53 

130  24 

128  48 

"127  06 

125  16 

123  20 

121  14 

119  00 

20  : 

30 

132  52 

131  40 

130  25 

129  04 

127  39 

126  08 

124  33 

122  52 

121  04 

119  10 

117  07 

114  58 

30 

40 

129  02 

127  48  ' 

126  32 

125  II 

123  46 

122  :6 

120  42 

119  02 

117  16 

115  25 

113  27 

III  21 

40 

50 

125  27 

124  14 

122  58 

121  36 

120  12 

118  43 

117  n 

115  33 

113  50 

112  03 

no  10 

108  12 

50 

2 

00 

122  06 

120  53 

119  37 

118  16 

116  54 

115  26 

"3  57 

112  21 

no  41 

108  58 

107  09 

105  17 

2    00 

lO 

118  58 

"7  45 

116  30 

115  12 

"3  50 

112  25 

no  57 

109  25 

107  49 

106  09 

104  25 

102  39 

10 

20 

116  01 

114  49 

113  36 

112  18 

no  59 

109  36 

108  II 

106  41 

105  09 

103  32 

loi  53 

100  II 

20 

30 

"3  14 

112  04 

no  51 

109  36 

108  18 

106  57 

105  34 

104  08 

102  39 

loi  07 

99  31 

97  53 

30  j 

40 

no  36 

109  27  • 

108  17 

107  02 

105  47 

104  28 

103  10 

loi  45 

100  18 

9850 

97  19 

95  45 

40 

50 

108  07 

106  59 

105  50 

104  38 

103  24 

102  oS 

loo  51 

99  30 

9807 

9641 

95  13 

93  44 

50 

3 

OO 

105  45 

104  38 

103  31 

102  21 

loi  09 

99  55 

^40 

97  i2 

96  01 

94  41 

93  15 

91  49 

3     00  1 

lO 

103  29 

102  23 

loi  17 

100  09 

99  00 

97  48 

96  34 

95  18 

94  02 

92  43 

91  21 

8958 

10  ; 

20 

loi  17 

100  14 

99  10 

98  03 

96  55 

95  45 

94  35 

93  22 

92  07 

90  51 

8933 

5§  ^3 

20 

5® 

99  13 

98  11 

97  07 

96  02 

94  54 

93  49 

92  39 

91  29 

90  16 

89  02 

8747 

86  30 

30 

40 

97  II 

96  II 

95  08 

94  05 

93  01 

91  55 

90  50 

89  40 

8830 

87  18 

86  05 

8451 

40 

50 

95  13 

94  15 

93  14 

92  13 

91  10 

90  05 

89  01 

87  55 

86  46 

85  37 

8427 

83  14 

50 

4 

OO 

93  19 

92  22 

91  23 

90  23 

89  22 

88  19 

87  17 

86  12 

8506 

8359 

82  50 

81  41 

4    00 

10 

91  28 

90  32 

8934 

88  35 

8735 

8635 

8534 

8431 

83  26 

82  21 

81  15 

80  08 

10 

20 

89  40 

88  44 

87  48 

86  SI 

85  52 

84  53 

83  54 

82  52 

81  50 

8047 

79  42 

7838 

20 

30 

87  51 

8659 

86  04 

8508 

84  II 

83  14 

82  15 

81  16 

80  15 

79  13 

78  10 

7708 

30 

40 

86  09 

85  16 

84  22 

83  27 

82  32 

81  35 

8039 

79  40 

7842 

77  41 

76  41 

75  39 

40 

50 

84  25 

83  34 

82  41 

81  48 

80  54 

79  58 

79  03 

78  06 

7708 

76  10 

75  12 

74  II 

50 

5 

OO 

82  44 

8i  53 

81  02 

80  09 

79  15 

78  22 

7728 

76  33 

75  36 

74  39 

73  42 

72  45 

5    00 

lO 

81  03 

80  13 

79  22 

78  31 

77  39 

7647 

75  57 

75  00 

74  05 

73  10 

72  14 
70  46 

71  18 

10 

20 

79  24 

78  34 

77  45 

76  54 

76  03 

75  12 

74  20 

7328 

72  35 

71  41 

69  51 

20 

30 

77  45 

7656 

76  07 

75  18 

7428 

7338 

72  47 

71  56 

71  04 

70  II 

69  18 

68  24 

30 

40 

76  06 

75  17 

74  31 

73  42 

72  53 

72  04 

71  15 

70  24 

69  34 

68  41 

67  50 

6658 

40 

50 

74  28 

73  41 

72  54 

72  06 

71  19 

70  31 

6942 

6853 

68  03 

67  13 

66  22 

65  31 

50 

6 

OO 

72  49 

72  03 

71  17 

70  30 

69  44 

6857 

6809 

67  21 

6633 

65  43 

64  53 

64  04 

6    00 

lO 

71  10 

70  25 

69  41 

6854 

6809 

67  23 

66  36 

65  49 

65  Ox 

64  13 

63  24 

62  36 

10 

20 

69  32 

68  48 

68  04 

67  18 

6634 

65  48 

65  03 

64  17 

63  30 

62  44 

61  56 

61  08 

20 

30 

67  52 

67  09 

66  26 

65  41 

64  57 

64  13 

63  28 

62  43 

61  58 

61  12 

60  25 

59  39 

30 

40 

66  12 

65  29 

64  48 

64  04 

63  21 

62  37 

61  54 

61  10 

60  26 

59  40 

5855 

58  10 

40 

50 

64  31 

63  50 

63  08 

62  26 

61  43 

61  01 

60  19 

59  36 

58  52 

58  08 

57  24 

56  41 

50 

7 

OO 

62  50 

62  10 

6r  29 

60  47 

6006 

59  24 

5843 

58  01 

57 18 

56  35 

55  52 

55  10 

7    00 

lO 

61  08 

60  28 

5948 

59  «^ 

58  27 

57  46 

57  06 

56  24 

55  43 

55  00 

54  19 

53  37 

10 

20 

59  25 

58  45 

58  07 

57  26 

56  47 

56  07 

55  27 

54  47 

54  06 

53  26 

52  45 

52  04 

20 

30 

57  41 

57  02 

56  24 

55  45 

55  05 

•54  27 

53  48 

53  09 

52  29 

51  50 

51  10 

5030 

30 

40 

55  54 

55  17 

54  39 

54  01 

•  53  23 

52  45 

52  07 

51  29 

50  50 

50  12 

49  33 

4855 

40 

50 

54  08 

53  31 

52  54 

52  17 

51  40 

51  03 

50  26 

49  49 

49  II 

48  33 

47  56 

47  18 

50 

8 

OO 

52  19 

51  43 

51  07 

50  31 

48  oS 

49  18 

48  42 

48  06 

47  29 

46  54 

46  16 

45  40 

8    00 

lO 

50  29 

49  53 

49  19 

48  44 

47  33 
45  40 

4658 

46  23 

45  47 

45  12 

44  36 

44  02 

10 

20 

48  37 

48  03 

47  29 

4654 

46  19 

45  12 

44  38 

44  03 

43  29 

42  55 

42  21 

20 

30 

46  43 

46  10 

45  37 

45  03 

44  30 

43  57 

43  25 

42  51 

42  iS 

41  45 

41  12 

40  39 

30 

40 

44  47 

44  16 

43  43 

43  II 

42  38 

42  07 

41  35 

41  03 

40  31 

39  59 

39  27 

3855 

40 

50 

42  50 

42  18 

41  48 

41  17 

4046 

40  15 

39  45 

3914 

3843 

38  12 

37  41 

37  II 

50 

9 

OO 

40  51 

40  20 

39  51 

39  21 

3850 

38  21 

37  52 

37  22 

36  52 

36  23 

35  53 

35  25 

0    00 

lO 

38  49 

38  20 

37  51 

37  23 

3655 

3626 

3558 

35  30 

35  00 

34  33 

34  04 

33  36 

10 

20 

36  46 

36  18 

35  51 

35  23 

34  56 

34  29 

34  02 

33  34 

3308 

32  40 

32  14 

31  48 

20 

30 

34  40 

34  14 

3348 

33  21 

32  55 

32  30 

32  04 

31  39 

31  13 

3047 

30  22 

29  56 

30 

40 

32  33 

32  08 

31  43 

31  18 

30  53 

30  29 

30  05 

29  41 

29  16 

2852 

28  28 

28  05 

40 

SO 

30  24 

30  00 

29  37 

29  13 

28  50 

28  26 

28  04 

27  41 

27  18 

2656 

26  33 

26  10 

50 

10 

OO 

28  12 

27  50 

27  29 

27  06 

26  44 

26  23 

26  02 

i 

25  41 

25  19 

2458 

24  37 

24  16 

10   00 

lO 

25  59 

2538 

25  18 

24  58 

2438 

24  18 

23  57 

23  38 

23  18 

22  58 

22  39 

22  20 

10 

20 

23  44 

23  25 

23  06 

22  47 

22  29 

22  II 

21  53 

!  21  34 

21  15 

20  58 

20  40 

20  22 

20 

30 

21  27 

21  10 

20  53 

20  35 

20  19 

20  02 

19  46 

19  29 

19  12 

18  56 

18  39 

18  23 

30 

40 

19  09 

18  53 

18  38 

18  22 

18  07 

1752 

17  37 

17  22 

17  07 

16  53 

1638 

16  23 

40 

50 

16  48 

16  34 

16  22 

16  08 

15  55 

15  41 

15  27 

15  15 

15  02 

1449 

14  36 

14  24 

50 

11 

OO 

14  27 

14  15 

14  03 

13  52 

13  40 

13  29 

13  17 

13  07 

12  55 

12  43 

12  33 

12  22 

11   bo 

lO 

12  05 

II  54 

II  45 

II  35 

II  25 

II  15 

II  06 

10  57 

10  47 

10  38 

10  28 

10  20 

10 

20 

9  41 

9  33 

9  25 

9  17 

9  09 

9  01 

854 

8  46 

838 

831 

8  24 

8  16 

20 

30 

716 

7  10 

7  04 

658 

652 

6  47 

6  41 

636 

6  30 

6  24 

6  18 

6  12 

30 

40 

451 

4  47 

4  43 

4  39 

4  35 

4  31 

4  28 

4  24 

4  20 

4  16 

4  12 

4  09 

40 

60 

2  25 

2  24 

2  22 

2  20 

2  18 

2  16 

2  14 

2  12 

2  10 

2  08 

2  06 

2  04 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12   00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azinmths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  tfce 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


190 


AZIMUTH  OR  TRUE  BEARING. 


L.ATITUDE  46°. 

DECI^INATION— 

SAME  NAME  AS— I.ATITUDE. 

liATITUDE  46°. 

1 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

b.    m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  1 

0  / 

0  1 

li.    m. 

0    OO 

i8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0    00 

lO 

i68  29 

167  24 

166  05 

164  23 

162  II 

159  II 

154  55 

148  23 

13738 

118  48 

"sg'oe' 

58  57 

10 

ao 

157  45 

155  42 

153  22 

150  30 

146  55 

142  iS 

136  17 

128  18 

"7  43 

104  08 

88  12 

72  00 

20 

30 

147  57 

145  28 

142  34 

139  06 

134  57 

129  57 

123  53 

116  37 

107  59 

98  04 

87  18 

76  20 

30 

40 

139  33 

136  47 

133  39 

130  02 

125  52 

121  03 

115  28 

109  14 

102  13 

94  32 

86  24 

78  07 

40 

60 

132  23 

129  33 

126  24 

122  52 

"8  53 

114  27 

109  32 

104  09 

9816 

92  01 

8530 

7851 

50 

1   oo 

126  18 

123  30 

120  26 

117  04 

113  24 

109  22 

105  00 

100  19 

95  18 

90  02 

8435 

79  03 

1    00 

lO 

121  06 

118  24 

115  29 

112  20 

108  57 

105  17 

1 01  23 

97  15 

92  54 

88  21 

83  41 

7856 

10 

20 

116  37 

114  02 

III  17 

108  22 

105  13 

loi  54 

98  24 

94  43 

90  51 

8652 

82  46 

7836 

20 

30 

112  38 

no  14 

107  40 

104  56 

102  03 

99  01 

95  50 

92  31 

89  03 

85  31 

81  51 

78  08 

30 

40 

109  13 

106  54 

104  29 

loi  57 

99  16 

96  29 

93  34 

9034 

87  26 

84  14 

8056 

77  36 

40 

60 

106  07 

103  56 

loi  40 

99  18 

96  49 

94  14 

91  34 

8848 

8557 

83  01 

80  01 

7658 

50 

2     OO 

103  22 

loi  15 

9907 

96  53 

94  35 

92  II 

89  43 

87  10 

8432 

81  51 

79  05 

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9848 

96  .7 

94  42 

92  32 

90  18 

88  00 

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80  42 

78  09 

75  35 

10 

20 

98  23 

96  33 

94  39 

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9038 

8833 

86  23 

84  10 

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79  36 

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20 

30 

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94  26 

92  37 

90  47 

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84  50 

82  47 

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30 

40 

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81  27 

79  27 

77  25 

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73  12 

40 

50 

92  10 

90  35 

88  57 

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81  59 

80  08 

78  15 

76  20 

74  22 

72  23 

50 

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75  56 

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8650 

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82  33 

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76  24 

74  47 

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71  27 

69  46 

20 

30 

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8350 

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81  04 

7938 

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76  42 

75  II 

7338 

72  04 

70  28 

68  50 

30 

40 

83  35 

82  18 

80  58 

79  37 

78  16 

76  55 

75  25 

73  59 

72  30 

71  00 

69  28 

6756 

40 

SO 

82  01 

80  46 

79  31 

78  13 

76  54 

75  33 

74  10 

72  47 

71  22 

6956 

68  28 

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50 

4     OO 

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79  17 

78  04 

76  49 

75  33 

74  16 

72  56 

71  36 

70  14 

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67  27 

66  01 

4     00 

10 

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77  50 

7638 

75  26 

74  13 

72  59 

71  42 

70  25 

69  06 

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66  25 

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10 

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71  35 

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65  35 

64  20 

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30 

40 

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73  33 

72  29 

71  23 

70  17 

69  10 

68  01 

66  51 

65  40 

64  29 

63  16 

62  02 

40 

50 

73  11 

72  09 

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6859 

67  53 

6647 

65  40 

64  31 

63  22 

62  II 

61  01 

50 

6     OO 

71  45 

70  45 

69  44 

6843 

67  40 

6637 

65  32 

64  27 

63  22 

62  15 

61  06 

59  57 

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70  19 

69  21 

68  22 

67  22 

66  22 

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65  04 

64  04 

63  04 

62  02 

61  00 

59  57 

58  53 

57  48 

20 

30 

67  29 

6635 

65  39 

64  42 

63  45 

62  47 

61  48 

60  49 

59  48 

58  48 

57  45 

56  42 

30 

40 

66  04 

65  10 

64  16 

63  21 

62  25 

61  29 

60  32 

59  35 

5836 

57  37 

5636 

55  35 

40 

60 

64  39 

63  47 

62  54 

62  01 

61  04 

60  12 

59  16 

58  20 

57  23 

56  26 

55  27 

54  27 

50 

6     OO 

63  13 

62  22 

61  31 

6038 

59  46 

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57  04 

56  09 

55  13 

54  16 

53  19 

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61  46 

60  57 

60  07 

59  16 

5825 

57  33 

56  41 

55  48 

54  57 

54  00 

53  04 

52  09 

10 

20 

60  20 

59  32 

5843 

57  53 

57  03 

56  13 

55  22 

54  30 

53  38 

52  46 

51' 52 

50  58 

20 

30 

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5I06 

57  17 

56  29 

55  40 

54  52 

54  02 

53  13 

52  21 

51  30 

50  38 

49  46 

30 

40 

57  24 

5638 

55  52 

55  04 

54  17 

53  30 

52  42 

51  53 

51  03 

50  14 

49  23 

48  32 

40 

50 

55  56 

55  11 

54  26 

53  39 

52  54 

52  07 

51  20 

50  33 

49  45 

4857 

48  08 

47  i8 

50 

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54  26 

53  42 

52  57 

52  13 

51  29 

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49  50 

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48  28 

47  48 

47  06 

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45  01 

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43  36 

42  53 

42  10 

30 

40 

48  15 

47  36 

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45  38 

44  58 

44  16 

43  36 

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42  13 

41  32 

40  50 

40 

50 

46  41 

46  02 

45  24 

44  46 

44  06 

43  28 

42  48 

42  09 

41  29 

40  50 

40  09 

39  29 

50 

8    OO 

45  03 

44  27 

53  49 

43  12 

42  34 

41  57 

41  18 

40  41 

40  02 

39  24 

38  45 

3806 

8     00 

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43  26 

42  49 

42  14 

41  38 

41  02 

40  25 

39  48 

39  12 

3835 

37  57 

37  20 

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40  37 

40  02 

39  27 

38  53 

38  17 

37  42 

37  05 

36  30 

35  53 

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20 

30 

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39  31 

3858 

38  25 

37  51 

37  18 

36  43 

36  09 

35  35 

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34  26 

33  52 

30 

40 

38  23 

37  50 

37  18 

36  47 

36  15 

35  42 

35  09 

34  37 

34  04 

33  31 

32  57 

32  22 

40 

50 

36  40 

36  09 

3538 

35  07 

34  36 

34  05 

33  33 

33  03 

32  30 

32  00 

31  27 

3056 

50 

9     OO 

34  54 

34  25 

33  56 

33  16 

32  56 

32  27 

31  56 

31  26 

30  56 

30  27 

29  56 

28  23 

29  25 

9     00 

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3308 

32  40 

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31  44 

31  15 

3046 

30  18 

29  50 

29  21 

2853 

27  55 

10 

20 

31  20 

30  53 

30  26 

30  00 

29  32 

29  06 

28  38 

28  12 

27  45 

27  18 

26  50 

26  23 

20 

30 

29  31 

29  05 

28  41 

28  15 

27  50 

27  24 

26  59 

26  33 

26  07 

25  42 

25  16 

24  50 

30 

40 

27  40 

27  16 

26  52 

26  29 

26  04 

25  40 

25  17 

24  53 

24  29 

24  04 

23  40 

23  15 

40 

50 

2548 

25  26 

25  03 

24  41 

24  18 

23  56 

23  34 

23  II 

22  49 

22  26 

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21  40 

50 

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23  55 

23  33 

23  13 

22  52 

22  31 

22  10 

21  50 

21  29 

21  08 

20  47 

20  26 

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10     00 

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22  00 

21  41 

21  21 

21  02 

20  43 

20  23 

20  04 

19  45 

19  26 

19  06 

!?S 

18  27 

10 

20 

20  04 

19  47 

19  28 

19  II 

18  54 

1836 

18  18 

18  01 

17  43 

17  26 

16  50 

20 

30 

18  08 

17  51 

17  35 

17  20 

17  03 

16  47 

16  31 

16  15 

16  00 

15  44 

15  27 

15  II 

30 

40 

16  09 

15  54 

15  41 

15  26 

15  12 

14  58 

14  43 

14  30 

14  15 

14  01 

13  46 

13  32 

40 

60 

14  10 

13  57 

13  44 

13  33 

13  20 

13  08 

12  55 

12  42 

12  30 

12  18 

12  05 

II  52 

50 

11     OO 

12  10 

11  59 

II  49 

11  37 

II  27 

II  16 

II  05 

10  55 

10  44 

10  34 

10  22 

10  II 

11     00 

lO 

10  10 

10  00 

9  51 

9  42 

9  34 

9  25 

9  15 

9  07 

857 

8  49 

839 

8  30 

10 

20 

8  09 

8  02 

7  54 

7  47 

7  40 

7  32 

7  25 

718 

7  10 

7  04 

656 

6  48 

20 

30 

6  07 

6  02 

556 

5  51 

5  45 

5  40 

5  34 

528 

5  24 

5  18 

5  12 

5  07 

30 

40 

4  05 

4  02 

3  57 

3  53 

3  50 

3  47 

3  43 

3  40 

336 

3  32 

328 

3  25 

40 

60 

2  03 

2  01 

I  59 

I  57 

I  55 

I  53 

I  52 

I  50 

I  48 

I  46 

I  44 

I  42 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  -when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latltutJe,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuth^;  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


191 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  46°. 

DECLINATION- 

-SAME  NAME  AS— 1,A 

TITUD 

E 

IjATITUDE  46°. 

Hoar  Angle. 

48° 

4»= 

50° 

51° 

52° 

53° 

54° 

55°    j 

56° 

570 

58° 

5»o 

Hour  Angle. 

b.          Ill* 

o     ' 

0    ' 

0    ' 

0    '. 

0    / 

0    ' 

0    ' 

0    '   [ 

0    /  1 

0    / 

0    / 

0    ' 

b.          m. 

O           OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00  1 

0  00  1 

0  00 

0  00 

0  00 

0          00 

10 

39  32 

28  28 

21  46 

17  24  \ 

14  21 

12  07 

10  24 

9  04  ' 

758' 

7  05 

6  20 

5  41 

10 

20 

57  47 

46  34 

38  04 

31  41  i 

26  48 

23  00 

20  00 

17  34 

15  33 

13  52 

12  26 

11  13 

20 

30 

65  55 

5639 

4842 

42  03  [ 

36  34 

32  02 

28  15 

25  05 
31  28 

22  24 

20  06 

18  06 

16  25 

30 

40 

70  02 

62  26 

55  29 

49  18  1 

43  51 

3908 

35  02 

28  23 

25  40 

23  18 

21  12 

40 

50    i 

72  16 

6554 

59  53 

5418 

49  12 

44  35 

40  28 

36  45 

33  27 

30  30 

•  27  51 

25  29 

50 

1           OO 

73  30 

6803  ! 

62  48 

5748 

53  06 

48  44  1 

44  44 

41  03 

37  41 

34  37 

31  49 

29  17 

1          00  . 

lO 

74  09 

69  23 

64  45  ' 

60  16 

55  58 

51  54 

48  04 

44  30 

41  10 

3805 

35  '§ 

32  36 

10 

20 

74  24 

70    12    : 

66  03 

62  <>o 

5804 

54  17  • 

50  40 

47  15 

44  01 

40  59 

38  08 

35  27 

20 

30 

74  23 

70  38 

6654 

63  12  ] 

5936 

56  05 

52  42 

49  27 

46  20 

43  22 

40  34 

37  53 

30 

40 

74  12 

70  48 

67  24 

64  02 

60  42 

57  26 

54  15 

51  II 

48  12 

45  20 

42  35 

39  58 

40 

50 

73  53 

70  46 

67  39 

64  32 

61  27 

5826 

55  27 

52  32 

49  42 

4656 

44  17 

41  43 

50 

a          OO 

73  28 

70  35 

67  43 

64  50 

61  58 

5908 

56  20 

53  34 

50  51 

48  13 

45  40 

43  09 

2          00 

lO 

72  57 

70  18 

67  37 

6456 

62  16 

59  36 

5658 

54  21 

51  46 

49  15 

46  47 

44  21 

10 

20 

72  23 

69  55 

67  24 

64  54 

62  24 

59  54 

57  23 

54  55 

52  28  1 

50  03 

47  40 

45  19 

20 

30 

71  45 

69  20 

67  06 

64  45 

62  23 

60  01 

57  39 

55  19 

5258  1 

5039 

48  23 

46  07 

30 

40 

71  04 

68  54 

66  42 

64  29 

62  15 

60  01 

57  47 

55  33 

53  19 

51  06 

48  55 

46  44 

40 

50 

70  25 

68  19 

66  14 

64  09 

62  01 

59  54 

57  46 

55  39 

53  31 

51  24 

49  17 

47  II 

50 

3           OO 

69  37 

67  40 

65  42 

63  43 

61  43 

59  45 

57  40 

55  39 

53  37 

51  34 

49  33 

47  31 

3           00 

lO 

68  49 

6659 

65  07 

63  15 

61  19 

59  24 

57  29 

55  33 

53  35 

51  38 

49  41 

47  43 

10 

20 

68  02 

66  16 

64  29 

62  42 

60  53 

59  03 

57  12 

55  20 

53  28  1 

51  36 

49  43 

47  51 

20 

30 

67  12 

65  31 

63  49 

62  07 

60  22 

58  37 

56  50 

55  04 

53  16 

51  29 

49  39 

47  50 

30 

IS 

66  20 

64  45 

63  07 

61  29 

5948 

5808 

5626 

54  43 

53  00 

51  16 

49  31 

47  46 

40 

6528 

6356 

62  22 

60  47 

59  13 

57  36 

5558 

54  20 

52  40 

50  59 

49  18 

47  36 

50 

4            OO 

64  34 

6306 

61  36 

60  06 

58  34 

57  01 

55  26 

53  52 

52  16 

50  39 

49  02 

47  22 

4           00 

lO 

63  39 

62  14 

60  50 

59  21 

57  53 

56  23 

54  53 

53  21 

51  49 

50  16 

48  41 

47  07 

10 

20 

62  43 

61  21 

5958 

58  34 

57  09 

55  43 

54  16 

52  48 

51  18 

49  49 

48  18 

46  46 

20 

30 

61  45 

60  27 

5?  07 

57  46 

56  24 

55  00 

53  37 

52  II 

50  45 

s:i 

47  51 

46  22 

30 

40 

60  47 

59  32 

58  14 

5656 

55  37 

54  17 

52  55 

51  34 

50  10 

47  21 

45  54 

40 

50 

59  48 

58  35 

57  20 

56  04 

54  48 

53  31 

52  12 

50  53 

49  32 

48 11 

46  49 

45  25 

50 

5           OO 

5847 

57  36 

56  24 

55  II 

53  57 

52  43 

51  26 

50  09 

48  52 

47  33 

46  13 

44  53 

5           00 

lO 

57  45 

56  37 

55  27 

54  17 

53  05 

51  53 

50  39 

'*?''§ 

48  10 

4655 

45  36 

44  18 

10 

20 

56  43 

55  36 

54  29 

53  21 

52  II 

51  01 

49  50 
4859 

4838 

47  25 

46 10 

44  57 

43  41 

20 

30 

55  39 

54  35 

53  29 

52  23 

51  16 

5008 

47  50 

46  39 

45  27 

44  15 

43  02 

30 

40 

54  34 

53  32 

52  28 

51  23 

50  19 

49  14 

48  17 

48  07 

46  59 

45  50 

44  42 

43  31 

42  20 

40 

50 

53  28 

52  28 

51  26 

50  24 

49  21 

47  13 

46  07 

45  01 

43  54 

42  46 

41  36 

50 

6           OO 

52  21 

51  23 

50  23 

49  "3 

48  21 

47  20 

46  16 

45  14 

4409 

43  05 

41  59 

4051 

6           00 

lO 

51  13 

50  16 

49  18 

48  20 

47  20 

4b  21 

45  19 

44  19 

43  16 

42 13 

41  09 
40  18 

4004 

10 

20 

50  03 

49  09 

48  12 

47  16 

46  18 

45  21 

44  21 

43  22 

42  22 

41 20 

39  16 

20 

30 

4853 

48  00 

47  05 

46  II 

45  15 

44  18 

43  21 

42  24 

41  25 

40  26 

39  26 

38  25 

30 

40 

47  41 

4649 

45  57 

45  03 
43  56 

44  10 

43  15 

42  20 

41  24 

40  27 

39  30 
38  33 

38  33 

37  37 

.  40 

50 

46  28 

45  38 

44  47 

43  04 

42  II 

41  17 

40  24 

39  29 

37  36 

36  40 

50 

7           OO 

45  14 

44  26 

43  36 

42  46 

41  56 

41  03 

40  12 

39  21 

38  28 

37  34 

36  40 

35  45 

7           00 

lO 

43  59 

43  12 

42  24 

41  36 

40  47 

39  58 

39  07 
38  00 

38  16 

37  25 

36  33 

35  41 

34  47 

10 

20 

42  43 

41  58 

41  II 

40  25 

39  37 

38  49 

37  12 

36  22 

35  32 

34  41 

53  50 

20 

30 

41  26 

40  42 

39  57 

39  12 

3826 

37  39 

36  52 

30  05 

35  18 

34  29 

33  41 

32  50 

30 

40 

40  07 

m 

38  41 

37  57 

37  13 

3628 

35  43 

34  58 

34  II 

33  25 

32  37 

31  49 

40 

50 

3847 

37  24 

36  42 

36  00 

35  17 

34  33 

33  49 

33  04 

32  20 

31  34 

30  48 

50 

8           OO 

37  26 

3646 

3606 

35  25 

34  44 

34  03 

33  21 

32  39 

31  56 

31 12 

30  29 

29  44 
28  40 

8           00 

lO 

36  04 

35  26 

34  47 

34  08 

3328 

32  49 

32  08 

31  28 

30  46 

30  05 

29  23 

10 

20 

34  40 

34  04 

33  27 

32  49 

32  II 

31  33 

30  54 

30  16 

2936 

28  56 

28  15 

27  34 

20 

30 

33  15 

32  40 

32  04 

31  28 

30  53 

30  16 

29  39 

29  OI 

28  24 

27  45 

27  07 

26  28 

30 

40 

31  50 

31 17 

30  41 

30  08 

29  33 

28  58 

28  22 

27  46 

27  10 

2635 

25  57 

25  20 

40 

50 

30  23 

29  51 

29  18 

2845 

28  12 

27  39 

27  05 

26  31 

25  56 

25  21 

24  47 

24  10 

50 

9           OO 

28  55 

28  24 

S^2i 

27  21 

2649 

26  iS 

25  46 

25  U 

2441 

24  oS 

23  35 

23  01 

9           00 

lO 

27  26 

2656 

25  57 

25  27 

24  57 

24  26 

23  56 

23  24 

22  53 

22  23 

21  50 

10 

20 

25  55 

25  28 

25  00 

24  32 

24  03 

23  34 

23  05 

22  37 

22  08 

21  38 

21  08 

20  38 

20 

30 

24  24 

23  58 

23  31 

23  05 

22  38 

22  II 

21  44 

21    17 

20  50 

20  21 

19  54 

19  25 

30 

40 

22  52 

22  27 

22  02 

21  39 

21  13 

20  47 

20  21 

1956 

10  30 
18  10 

19  04 

1838 

18  12 

40 

50 

21   18 

20  55 

20  32 

20  09 

19  45 

19  22 

1858 

18  34 

17  47 

17  22 . 

1657 

50 

lO           OO 

19  43 

19  23 

19  01 

1839 

18  18 

17  56 

17  34 

17  12 

16  49 

16  27 

16  05 

15  42 

10           00 

lO 

18  08 

17  49 

17  29 

17  09 

16  49 

16  30 

16  09 

15  49 

15  29 

15  18 

14  47 

14  26 

10 

20 

16  32 

16  15 

15  56 

15  39 

15  20 

15  02 

14  43 

14  25 

14  06 

1348 

13  29 

13  09 

20 

30 

14  55 

14  40 

14  23 

14  07 

13  50 

13  34 

13  17 

13  01 

12  43 

12  27 

12  10 

11  52 

30 

40 

13  17 

13  04 

12  48 

12  34 

12  20 

12  05 

II  50 

II  35 

II  20 

II  05 

10  50 

lo  34 

40 

50 

II  39 

II  26 

II 14 

II   01 

10  49 

10  36 

10  23 

10  10 

9  57 

9  43 

9  30 

9  17 

50 

11           OO 

10  00 

9  49 

8   13 

938 

8  03 

9  28 

9  17 

9  05 

8  55 

843 

832 

8  20 

8  09 
648 

758 

11            00 

lO 

0  21 

7  54 

7  45 

7  35 

7  26 

716 

7  07 

6  58 

6  39 

10 

20 

6  41 

634 

627 

6  19 

6  12 

6  05 

5  57 

5  50 

5  42 

5  35 

5?I 

5  19 

20 

30 

5  01 

456 

4  50 

4  45 

4  39 

4  34 

4  29 

423 

4  17 

4  II 

406 

4  00 

30 

40 

3  21 

3  17 

3  14 

3  10 

306 

3  03 

2  59 

256 

2  51 

2  48 

2  44 

2  40 

40 

50 

141 

I  39 

I  37 

I  35 

I  33 

I  31 

I  30 

I  28 

I  26 

I  24 

I  22 

I  20 

50 

12           OO 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12           00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  Bast;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


192 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDX:  46°. 

DECUNATION— SAME  NAME  AS- 

-I.ATITUDE. 

I^ATITUDE  46°. 

Hour  Angle* 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

■ 

li. 

ni. 

o  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  1 

0  r 

0  1 

li.    ni. 

O 

OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  oo 

0  00 

0  00 

0  00 

0    00 

lO 

5  09 

4  40 

4  15 

3  52 

3  32 

3  14 

258 

2  43 

2  30 

2  17 

2  06 

10 

20 

10  09 

9  14 

8  25 

7  40 

7  02 

6  26 

5  54 

§  ^5 

458 

4  34 

4  II 

20 

30 

14  55 

13  36 

12  24 

II  22 

10  24 

9  33 

8  46 

8  03 

7  24 

6  47 

6  14 

30 

40 

19  20 

17  40 

16  12 

^i  51 

1338 

12  32 

II  31 

TO  36 

9  44 

857 

8  13 

40 

50 

23  22 

21  27 

19  44 

18  08 

16  42 

15  22 

14  10 

13  03 

12  01 

n  04 

10  II 

50 

1 

OO 

26  59 

24  52 

22  56 

21  10 

19  32 

18  02 

16  39 

15  22 

14  II 

13  04 

12  02 

1    00 

10 

30  LO 

27  56 

25  51 

23  57 

22  09 

20  31 

18  59 

17  34 

16  13 

14  59 

13  49 

10 

20 

32  59 

30  39 

28  28 

26  27 

24  34 

22  48 

21  08 

19  36 

18  09 

16  47 

15  30 

20 

30 

35  24 

33  02 

30  48 

28  42 

26  45 

24  53 

23  09 

21  29 

19  56 

18  29 

17  06 

30 

40 

37  29 

35  07 

32  51 

30  43 

28  42 

26  46 

24  58 

23  14 

21  36 

20  03 

18  35 

40 

50 

39  15 

36  54 

34  38 

32  29 

30  26 

28  28 

26  36 

24  49 

23  07 

21  31 

1958 

50 

2 

OO 

40  45 

38  26 

36  II 

34  03 

31  58 

29  59 

28  05 

26  16 

24  31 

22  51 

21  15 

2     00 

lO 

42  01 

39  44 

37  30 

35  22 

33  19 

31  19 

29  24 

27  33 

2546 

24  04 

22  25 

10 

20 

43  03 

40  50 

3838 

36  32 

34  29 

32  29 

30  34 

28  43 

26  54 

25  10 

23  30 

20 

30 

43  55 

41  44 

39  36 

37  31 

35  29 

33  31 

31  36 

29  44 

27  55 

26  10 

24  28 

30 

40 

44  36 

42  28 

40  23 

38  21 

36  22 

34  26 

32  31 

30  39 

28  49 

27  03 

25  20 

40 

50 

45  08 

43  04 

41  02 

39  03 

37  04 

35  09 

33  15 

31  25 

29  36 

27  50 

26  07 

50 

3 

OO 

45  31 

43  31 

41  33 

39  36 

37  40 

35  47 

33  55 

32  05 

30  18 

28  32 

26  48 

3     00 

lO 

45  47 

43  52 

41  57 

40  02 

3S  10 

36  18 

34  28 

32  39 

30  52 

29  05 

27  23 

10 

20 

45  58 

44  05 

42  14 

40  22 

3832 

36  42 

34  54 

33  07 

31  21 

29  37 

27  54 

20 

30 

46  03 

44  13 

42  24 

40  36 

38  49 

37  01 

35  15 

33  30 

31  46 

30  02 

28  23 

30 

40 

46  02 

44  16 

42  30 

40  45 

39  00 

37  15 

35  31 

33  48 

32  05 

30  23 

28  42 

40 

50 

45  55 

44  12 

42  30 

40  49 

39  06 

37  24 

35  42 

34  01 

32  19 

30  38 

29  00 

50 

4 

OO 

45  45 

44  06 

42  27 

40  48 

39  08 

37  28 

3548 

34  09 

32  30 

30  51 

29  13 

4     00 

lO 

45  32 

43  55 

42  19 

40  42 

39  05 

37  28 

35  50 

34  13 

32  35 

30  58 

29  22 

10 

20 

45  14 

43  41 

42  06 

40  33 

■3859 

37  23 

35  49 

34  13 

32  37 

31  03 

29  57 

20 

30 

44  52 

43  22 

41  51 

40  20 

3848 

37  16 

35  44 

34  10 

32  37 

31  03 

29  30 

30 

40 

44  29 

43  01 

41  33 

40  04 

38  34 

37  04 

35  34 

34  03 

32  32 

31  00 

29  29 

40 

50 

44  02 

42  36 

41  II 

39  44 

38  18 

36  50 

35  22 

33  54 

32  24 

30  54 

29  25 

50 

5 

OO 

43  32 

42  10 

40  46 

39  22 

37  57 

3632 

35  06 

33  40 

.32  13 

30  45 

29  17 

5     00 

10 

42  59 

41  39 

40  19 

3857 

37  35 

36  II 

34  48 

33  23 

31  58 

30  33 

29  07 

10 

20 

42  25 

41  07 

39  48 

38  30 

37  10 

35  49 

34  27 

33  05 

31  42 

30  18 

28  54 

20 

30 

41  48 

40  32 

39  16 

38  oc 

36  42 

35  23 

34  04 

32  44 

31  22 

30  01 

2839 

30 

40 

41  08 

39  55 

3842 

37  27 

36  12 

34  55 

33  38 

32  20 

31  01 

29  41 

28  21 

40 

50 

40  27 

39  16 

38  04 

36  53 

35  39 

34  25 

33  10 

31  54 

30  37 

29  20 

28  02 

50 

6 

OO 

39  44 

38  35 

37  26 

36  15 

35  05 

33  52 

32  40 

31  26 

30  12 

28  55 

27  40 

6     00 

10 

3859 

37  52 

36  45 

35  36 

34  27 

33  18 

32  07 

30  56 

29  43 

28  30 

27  15 

10 

20 

38  12 

3708 

36  02 

34  56 

33  49 

32  41 

31  33 

30  23 

29  12 

28  01 

26  48 

20 

30 

37  24 

36  21 

35  18 

34  14 

33  09 

32  03 

30  56 

29  49 

28  40 

27  30 

26  21 

30 

. 

40 

36  33 

35  33 

34  32 

33  30 

32  27 

31  23 

30-  18 

29  13 

28  06 

26  59 

25  51 

40 

50 

35  42 

34  44 

33  44 

32  44 

31  42 

30  41 

29  39 

28  36 

27  31 

26  25 

25  19 

50 

7 

OO 

34  49 

33  52 

32  54 

31  56 

3057 

2958 

2857 

27  56 

26  53 

25  49 

24  46 

7     00 

10 

33  54 

32  59 

32  03 

31  07 

30  10 

29  12 

28  13 

27  15 

26  14 

25  13 

24  10 

10 

20 

32  58 

32  05 

3t  II 

30  17 

29  21 

28  26 

27  29 

26  32 

25  33 

24  34 

23  33 

20 

30 

32  01 

31  09 

30  17 

29  25 

28  31 

27  38 

26  43 

25  48 

24  51 

23  54 

22  56 

30 

40 

31  02 

30  13 

29  22 

28  31 

27  41 

26  48 

25  56 

25  02 

24  07 

23  13 

22  17 

40 

50 

30  02 

29  14 

28  25 

27  37 

26  47 

25  57 

25  07 

24  15 

23  23 

22  29 

21  36 

50 

8 

OO 

29  00 

28  14 

27  28 

26  41 

25  53 

25  05 

24  17 

23  28 

22  37 

21  45 

20  53 

8     00 

10 

27  58 

27  13 

26  29 
25  28 

25  44 

24  58 

24  12 

23  26 

22  38 

21  49 

21  00 

20  II 

10 

20 

26  54 

26  II 

2446 

24  02 

23  17 

22  33 

21  48 

21  01 

20  14 

19  26 

20 

30 

25  49 

25  08 

24  27 

23  47 

23  04 

22  22 

21  40 

20  56 

20  12 

19  27 

18  41 

30 

40 

24  42 

24  03 

23  25 

22  46 

22  06 

21  26 

20  45 

20  04 

19  20 

18  38 

17  55 

40 

50 

23  36 

22  59 

22  22 

21  45 

21  06 

20  28 

19  49 

19  10 

18  29 

17  49 

17  07 

60 

9 

OO 

22  27 

21  52 

21  17 

20  42 

20  05 

19  29 

18  52 

18  15 

17  37 

16  58 

16  18 

9     00 

lO 

21  18 

20  44 

20  II 

1938 

19  04 

18  29 

17  55 

17  19 

16  42 

16  06 

15  30 

10 

20 

20  08 

19  37 

19  05 

1833 

18  02 

17  29 

1656 

16  23 

15  48 

15  13 

14  39 

20 

30 

18  57 

18  27 

17  58 

17  29 

1658 

16  28 

15  57 

15  25 

14  53 

14  21 

13  48 

30 

40 

17  45 

17  18 

16  50 

16  23 

15  54 

15  25 

14  56 

14  27 

13  57 

13  27 

12  56 

40 

50 

16  32 

16  06 

15  41 

15  15 

14  49 

14  23 

13  56 

13  29 

13  00 

12  33 

12  03 

60 

10 

OO 

15  19 

14  55 

14  32 

14  08 

13  43 

13  19 

12  55 

12  29 

12  03 

11  37 

II  II 

10     00 

lO 

.  14  05 

13  42 

13  21 

12  59 

-12  37 

12  14 

It  52 

tl  29 

II  05 

10  41 

10  17 

10 

ao 

12  51 

12  31 

12  II 

II  51 

11  30 

II  10 

10  49 

10  28 

10  06 

9  45 

9  23 

20 

30 

II  35 

11  17 

10  59 

10  41 

10  23 

10  04 

946 

9  27 

9  07 

848 

8  ?7 

30 

40 

10  19 

10  03 

948 

9  31 

9  15 

8  59 

8  42 

825 

8  08 

7  50 

7^3 

40 

50 

9  °3 

8  49 

8  35 

8  20 

8  07 

7  52 

738 

7  22 

7  08 

652 

6  37 

50 

11 

OO 

7  46' 

7  34 

7  22 

7  10 

6  58 

645 

633 

6  20 

6  07 

5  54 

5  41 

11     00 

lO 

6  29 

6  19 

6  09 

5  59 

5  48 

5  38 

528 

5  18 

506 

4  55 

4  44 

10 

20 

5  II 

5  04 

4  56 

448 

4  39 

4  31 

4  23 

4  15 

4  o€ 

3  56 

3  48 

20 

30 

3  55 

3  48 

3  41 

-   336 

3  30 

3  23 

3  17 

3  II 

3  04 

-  57 

2  52 

30 

40 

2  36 

2  32 

2  28 

2  24 

2  20 

2  16 

2  11 

2  07 

2  03 

I  58 

I  54 

40 

60 

I  18 

I  16 

I  14 

I  12 

I  10 

I  08 

I  06 

I  04 

I  02 

0  59 

0  57 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  OQ 

0  00 

0  00 

.0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


193 


AZIMUTH  OR  TRUE  BEARING. 


liATITlIDE!  47°. 

DECIvINATION— SAME  NAME  AS— LATITUDE. 

IiATITUDE  470.  • 

Hour  Angle. 

24° 

25° 

26°   27° 

28° 

! 
29°   30° 

31° 

32° 

330 

1 
34° 

35° 

Hour  Angle. 

li. 

m. 

0  /     0  / 

0  /    0  / 

0  / 

0  / 

0  / 

0  / 

0  /  1   0  / 

0  / 

0  / 

li.    m. 

O 

OO 

i8o  OO  ,   i8o  OO 

180  00  180  00 

180  00 

180  00 

180  00 

180  00 

180  00  180  00 

180  00 

180  00 

0    00 

lO 

174  11  1  173  58 

173  45  !  173  30 

173  15 

172  57 

172  38 

172  15 

171  51  171  22 

170  51 

170  14 

10 

20 

168  25  1  168  01 

167  35  167  07 

16636 

166  03  1  165  25  i 

164  43 

163  56  163  02 

162  01 

160  51 

20 
SO 

30 

162  48  !  162  IS 

161  36  160  57 

160  12 

159  24  1 

15830 

157  31 

156  25  155  II 

15348 

152  12 

40 

157  22 

156  39 

155  52  155  01 

154  06 

153  06 

152  00 

150  47 

149  26  :  147  56 

146  18 

144  25 

40 
50 

50 

152  II 

151  20 

150  26  149  26 

148  22 

147  13 

145  57 

144  34 

143  04  1  141  24 

139  34 

137  32 

1 

OO 

147  17 

146  19 

145  18  144  13 

143  01 

141  46 

140  23 

138  54 

137  17  1  135  31 

•133  36 

131  29 

1    00 

lO 

142  38 

141  36 

140  30  139  21 

138  04 

136  44 

135  18 

133  44 

132  04  1  130  14 

128  18 

126  II 

10 
20 
30 
40 

20 

138  17  137  II 

136  02  134  49 

133  30 

132  07 

130  38 

129  03 

127  22   125  32 

123  37 

121  31 

30 

134  12  ]  133  03 

131  52  130  37 

129  17 

127  52 

126  23 

124  48 

123  07   121  19 

119  25 

117  22 

40 

130  22 

129  12  1 

128  00  i  126  44 

125  24 

12358 

122  29 

120  55 

119  15  j  117  29 

115  38 

113  40 

50 

126  47 

125  37  I 

124  24  123  08 

121  47 

120  23 

118  55 

117  22 

115  44  1  114  02 

112  14 

1 

no  21 

50 

2 

OO 

123  24 

i 
122  14 

121  02 

119  46 

118  26 

117  03 

115  37 

114  05 

112  31 

no  51 

109  08  ' 

107  19 

2    00 

lO 

120  14 

119  C5 

117  52 

116  38 

115  19 

113  57 

112  33 

III  04 

109  33 

107  56 

106  17 

104  32 

10 

20 

"7  15 

116  07  ! 

114  55 

113  42 

112  24 

III  05 

109  42 

108  16 

106  47 

105  14 

103  38 

loi  58 

20 
30 

30 

114  25 

113  18  : 

112  08 

no  56  109  40 

108  22 

107  03 

105  39 

104  12 

102  42 

loi  10 

99  35 

40 

III  45 

no  38 

109  30 

108  19 

107  05 

105  49 

104  32 

103  II 

iqi  47 

100  21 

9852 

97  20 

40 
50 

50 

109  13 

108  07 

107  00 

105  51 

104  39 

103  26 

102  09 

100  51 

99  31 

98  07 

96  41 

95  13 

3 

OO 

106  4B 

105  43 

104  37 

103  30 

102  20 

loi  09   99  54 

9838 

97  20 

96  00 

94  37 

93  12 

3    00 
10 

lO 

104  29 

103  25 

102  21 

loi  15 

100  06 

9857 

97  45 

96  32 

95  16 

9358 

92  39 

2'  il 

20 

102  16 

loi  14 

100  10 

99  06 

97  59 

96  51 

95  42 

94  31 

93  17 

92  03 

9046 

89  26 

20 

30 

100  07 

99  06 

98  04 

97  02 

95  56 

94  51 

93  43 

92  34 

91  23 

90  10 

8856 

8740 

30 

40 

98  03 

97  03 

96  03 

95  01 

93  58 

92  53 

91  49 
8957 

90  41 

89  32 

88  22 

87  II 

f5  57 

40 

50 

96  02 

95  05 

94  06 

93  05 

92  04 

91  00 

88  52 

8745 

86  36 

85  27 

84  16 

50 

4 

OO 

94  06 

93  09 

92  II 

91  12 

90  li 

89  12 

8809 

8705 

86  01 

8454 

8348 

8238 

4    00 

lO 

92  12 

91  15 

90  19 

89  22 

88  23 

87  24 

86  23 

85  22 

84  19 

83  14 

82  09 

81  02 

10 

20 

90  21 

§9  26 

88  31 

87  35 

8637 

8539 

84  40 

83  40 

82  38 

81  36 

80  33 

79  28 

20 

30 

88  32 

8738 

86  44 

85  49 

84  53 

8356 

8258 

82  00 

81  00 

79  59 

7858 

77  56 

30 

40 

8645 

8552 

85  00 

84  05 

83  11 

82  15 
8036 

81  19 

80  22 

79  24 

7825 

77  25 

7624 

40 

SO 

8459 

84  08 

83  16 

82  23 

81  39 

79  41 

7845 

77  49 

76  51 

75  53 

74  53 

50 

5 

OO 

83  15 

82  24 

81  33 

80  42 

79  50 
78  II 

7856 

78  03 

7708 

76  13 

75  18 

74  21 

73  23 

5    00 

lO 

81  32 

80  43 

79  52 

79  02 

77  19 

76  27 

75  34 

74  39 

73  45 

72  50 

71  53 

10 

20 

79  50 

79  01 

78  12 

77  24 

76  33 

75  42 

74  51 

73  59 

73  06 

72  13 

71  20 

7024 

20 

30 

78  08 

77  20 

76  33 

75  45 

74  56 

74  05 

73  15 

72  25 

71  33 

70  41 

69  49 

6855 

30 

40 

76  27 

75  41 

74  54 

74  06 

73  17 

72  29 

71  41 

70  51 

70  01 

69  10 

68  19 

67  27 

40 

50 

74  47 

74  01 

73  15 

72  29 

71  42 

70  54 

70  06 

69  17 

68  28 

67  39 

66  49 

6558 

50 

6 

OO 

73  07 

72  21 

71  36 

70  50 

70  04 

69  18 

68  31 

67  43 

6655 

66  06 

65  18 

64  28 

6    00 

lO 

71  26 

70  41 

69  13 

63  27 

67  42 

6655 

6609 

65  22 

64  34 

63  47 

62  59 

10 

20 

6946 

69  02 

68  18 

67  34 

6651 

6606 

65  20 

64  35 

63  49 

63  03 

62  16 

61  29 

20 

30 

68  04 

67  21 

6639 

6556 

65  12 

64  29 

63  45 

63  00 

62  15 

61  30 

60  44 

59  58 

30 

40 

6623 

65  41 

64  59 

64  16 

63  34 

62  51 

62  08 

61  25 

60  41 

5956 

59  12 

58  28 

40 

50 

64  40 

63  59 

63  19 

62  37 

6156 

61  13 

60  31 

59  49 

59  06 

58  23 

5740 

5655 

50 

7 

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6258 

62  17 

61  37 

6056 

60  15 

59  35 

5854 

5812 

57  30 

5648 

5606 

55  23 

7    00 

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61  14 

60  34 

59  55 

59  15 

5835 

57  55 

57  14 

56  34 

55  53 

55  12 

5431 

53  49 

10 

20 

59  29 

5851 

58  11 

57  32 

5653 

56  15 

55  35 

54  55 

54  15 

53  35 

5255 

52  15 

20 

30 

57  44 

57  05 

56  28 

55  49 

55  " 

54  33 

53  55 

53  16 

52  37 

51  58 

51  19 

5^  39 

30 

40 

55  56 

55  19 

54  42 

54  05 

5328 

52  50 

52  13 

51  35 

50  57 

50  19 

49  41 

4903 

40 

50 

5408 

53  ?2 

52  56 

52  19 

51  43 

51  c6 

50  30 

4953 

49  17 

4839 

4803 

47  25 

50 

8 

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52  18 

51  42 

51  07 

50  31 

49  56 

49  20 

48  45 

48  09 

47  34 

4658 

46  22 

45  46 

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50  27 

49  52 

49  17 

48  43 

48  09 

47  34 

47  00 

46  25 

45  50 

45  15 

44  41 

44  06 

10 

20 

48  34 

48  CO 

47  27 

46  54 

46 '20 

45  46 

45  13 

44  40 

44  06 

43  32 

42  58 

42  24 

20 

30 

46  40 

46  06 

45  34 

45  01 

44  29 

43  56 

43  24 

42  52 

42  19 

41  46 

41  14 

40  41 

30 

40 

44  43 

44  12 

43  40 

43  08 

42  36 

42  05 

41  34 

41  02 

40  32 

40  00 

39  28 

3858 

40 

50 

4245 

42  14 

41  44 

41  13 

40  43 

40  13 

39  43 

39  12 

38  42 

38  12 

37  42 

37  II 

50 

9 

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40  45 

40  15 

39  46 

39  17 

3847 

38  18 

37  49 

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36  51 

36  22 

35  54 

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lO 

38  42 

38  14 

37  46 

37  18 

36  50 

36  23 

35  55 

35  27 

34  59 

34  31 

34  04 

33  36 

10 

SO 

36  40 

36  12 

35  45 

35  19 

34  52 

34  25 

33  59 

33  32 

33  05 

32  39 

32  13 

31  46 

20 

30 

34  33 

3408 

33  42 

33  16 

32  51 

32  27 

32  02 

31  37 

3X  II 

30  45 

30  20 

29  55 

30 

40 

32  26 

32  01 

31  37 

31  13 

30  49 

30  25 

30  01 

29  37 

29  13 

28  50 

2&26 

28  03 

40 

50 

30  16 

29  53 

29  31 

29  08 

2845 

28  23 

28  00 

27  37 

27  15 

26  53 

26  31 

26  09 

50 

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28  05 

27  44 

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27  01 

26  39 

26  19 

2558 

25  37 

25  16 

24  55 

24  35 

24  15 

10     00 

lO 

25  52 

25  32 

25  II 

24  52 

24  33 

24  13 

23  54 

23  35 

23  15 

22  56 

22  36 

22  17 

10 

20 

23  37 

23  19 

23  01 

22  43 

.22  24 

22  06 

21  48 

21  30 

21  13 

20  55 

2037 

20  21 

20 

30 

21  20 

21  04 

20  47 

20  31 

20  14 

1958 

19  41 

19  25 

19  10 

1854 

1838 

18  23 

30 

40 

19  02 

1847 

18  32 

18  18 

1803 

1748 

17  33 

17  20 

1705 

16  50 

1636 

16  22 

40 

- 

50 

16  43 

16  30 

16  17 

16  03 

15  50 

1537 

15  25 

IS  12 

1459 

1446 

14  34 

14  21 

60 

11 

OO 

14  22 

14  II 

14  00 

13  47 

13  36 

13  26 

13  14 

13  03 

12  53 

12  41 

12  30 

12  20 

11    00 

lO 

12  00 

II  51 

II  41 

II  32 

II  22 

II  13 

II  03 

10  55 

10  45 

10  36 

10  27 

10  18 

10 

20 

9  38 

9  30 

9  22 

9  14 

9  07 

859 

852 

844 

837 

8  30 

8  23 

815 

20 

30 

7  14 

708 

7  02 

656 

651 

6  45 

6  40 

633 

j   6  28 

623 

1   6  18 

6  II 

30 

40 

4  50 

4  46 

442 

438 

4  34 

4  30 

426 

4  23 

4  19 

4  ^§ 

1   411 

408 

40 

50 

2  25 

2  23 

2  21 

2  19 

2  17 

2  15 

2  13 

2  II 

1   2  10 

2  08 

2  06 

2  04 

60 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

0  00 

12    00 

In  >'orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  -when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  Hast;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


41224°— 16- 


-13 


194 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDC:  47°. 

DECI^INATION- 

-SAME  NAME  AS— I^ATITUDE. 

LATITUDE  47°. 

Hour  Angle. 

36° 

370 

38° 

390 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

b. 

m. 

O   ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  r 

0  ' 

0  / 

0  / 

li.     in. 

O 

OO 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

10 

169  29 

168  38 

167  34 

166  16 

164  36 

162  26 

159  29 

155  16 

148  14 

138  08 

119  15 

89  05 

10 

ao 

159  30 

157  54 

156  00 

153  42 

150  52 

147  18 

142  44 

136  44 

128  45 

118  07 

104  22 

88  10 

20 

30 

150  23 

148  17 

145  49 

142  56 

139  30 

135  22 

130  23 

124  20 

117  00 

108  16 

98  14 

87  15 

30 

40 

142  18 

139  54 

137  10 

134  03 

130  26 

126  15 

121  26 

115  52 

109  33 

102  25 

94  37 

86  20 

40 

50 

135  16 

132  45 

129  56 

126  46 

123  13 

119  14 

114  47 

109  49 

104  22 

98  25 

92  04 

85  25 

SO 

1 

OO 

129  II 

126  39 

123  51 

120  47 

117  25 

113  41 

109  38 

105  14 

100  28 

95  23 

90  03 

84  30 

1     00 

lO 

123  53 

121  24 

118  42 

115  47 

112  36 

109  II 

105  30 

loi  34 

97  22 

92  57 

88  21 

8335 

10 

20 

119  17 

116  53 

114  18 

III  33 

10835 

105  25 

102  05 

9831 

94  47 

90  52 

86  50 

82  39 

20 

30 

115  12 

112  54 

no  28 

107  52 

105  07 

102  12 

9908 

95  55 

92  33 

89  03 

85  26 

8143 

30 

40 

III  36 

109  25 

107  06 

104  40 

102  05 

99  24 

90  34 

93  38 

90  35 

87  24 

84  08 

80  48 

40 

50 

108  22 

106  16 

104  05 

101  48 

99  24 

96  53 

94  18 

91  35 

88  47 

8553 

8254 

79  51 

SO 

3 

OO 

105  25 

103  26 

lOI  22 

99  13 

9658 

94  37 

92  12 

89  42 

8707 

84  26 

81  43 

7855 

2     00 

lO 

102  43 

loo  50 

98  53 

96  51 

94  44 

92  33 

90  18 

ll^ 

8533 

83  05 

8033 

77  58 

10 

20 

100  14 

98  27 

96  35 

94  40 

92  41 

9038 

88  31 

86  19 

84  04 

81  46 

79  25 

77  01 

20 

30 

97  55 

96  12 

94  27 

92  38 

90  45 

88  49 

8649 

84  46 

82  40 

80  30 

78  18 

76  03 

30 

40 

95  45 

94  08 

92  27 

90  43 

88  55 

8705 

85  12 

83  16 

81  18 

79  16 

77  12 

75  06 

40 

SO 

93  42 

92  09 

90  33 

88  54 

87  12 

85  28 

83  40 

81  51 

79  59 

78  04 

76  07 

7408 

SO 

3 

OO 

91  45 

90  16 

88  27 

8844 

8709 

8533 

83  54 

82  12 

80  28 

7841 

76  52 

75  02 

73  09 

3     00 

10 

89  53 

87  00 

85  29 

8357 

82  22 

80  46 

79  06 

77  25 

75  42 

73  57 

72  10 

10 

20 

88  06 

8643 

85  19 

8352 

82  24 

80  54 

79  21 

77  46 

76  II 

74  32 

72  53 

71  10 

20 

30 

86  22 

85  03 

83  42 

82  19 

80  54 

79  27 

77  59 

76  29 

74  57 

73  23 

71  47 

70  10 

30 

40 

84  42 

8325 

82  07 

8047 

79  26 

7803 

76  38 

75  12 

73  44 

72  14 

70  43 

U^ 

40 

50 

8304 

81  50 

8035 

79  18 

78  00 

76  40 

75  19 

73  55 

72  32 

71  04 

69  37 

SG 

4 

OO 

81  29 

80  17 

79  05 

77  51 

7636 

75  18 

74  00 

72  40 

71  19 

69  57 

6833 

67  07 

4     00 

lO 

79  55 

78  45 

77  36 

76  24 

75  II 

73  57 

72  41 

71  24 

70  07 

68  .;6 

67  25 

66  04 

10 

20 

78  23 

77  16 

76  08 

74  59 

73  49 

72  37 

71  24 

70  10 

6855 

6738 

66  20 

65  01 

20 

30 

76  52 

75  47 

74  41 

73  35 

72  27 

71  17 

70  07 

6855 

67  43 

66  28 

65  13 

63  57 

30 

40 

75  23 

74  20 

73  16 

72  11 

71  05 

6958 

68  50 

67  41 

66  31 

65  19 

64  06 

62  53 

40 

50 

73  53 

72  52 

71  51 

70  48 

69  44 

68  39 

67  33 

66  26 

65  18 

64  10 

62  59 

61  48 

SO 

5 

OO 

72  24 

71  25 

70  26 

69  24 

68  23 

67  19 

66  15 

65  II 

64  05 

62  59 

61  51 

60  42 

5     00 

lO 

70  57 

69  59 

69  01 

68  02 

67  01 

66  01 

6458 

63  55 

62  53 

61  48 

60  41 

59  35 

10 

20 

69  29 

68  33 

67  37 

6639 

65  42 

64  41 

63  41 

62  40 

61  39 

60  36 

59  32 

58  28 

20 

30 

68  01 

67  07 

66  12 

65  15 

64  19 

63  21 

62  23 

61  24 

60  24 

59  23 

58  22 

57  20 

30 

40 

6634 

65  41 

64  47 

63  53 

62  57 

62  01 

61  05 

60  07 

59  09 

58  ID 

57  II 

56  10 

40 

50 

65  07 

64  15 

63  23 

62  29 

61  35 

60  41 

59  46 

5850 

57  54 

5656 

56  00 

55  00 

SO 

6 

OO 

63  39 

62  48 

61  57 

61  05 

60  14 

59  19 

5827 

57  33 

5638 

55  42 

54  46 

53  49 

6     00 

lO 

62  10 

61  21 

60  31 

59  41 

5850 

57  59 

57  07 

56  14 

55  21 

54  27 

53  33 

5'  37 

10 

20 

60  41 

59  54 

59  05 

58  16 

57  27 

56  37 

55  46 

54  54 

54  04 

53  II 

52  18 

51  25 

20 

30 

59  12 

58  25 

•5738 

56  51 

56  02 

55  13 

54  24 

53  35 

52  46 

51  54 

51  02 

50  II 

30 

40 

57  42 

56  57 

56  II 

55  24 

54  37 

53  50 

53  02 

52  13 

51  26 

50  35 

49  45 

4856 

40 

SO 

56  12 

55  27 

54  43 

53  57 

53  12 

52  26 

51  39 

50  52 

5005 

49  16 

48  28 

47  40 

SO 

7 

OO 

54  40 

53  57 

53  13 

52  29 

51  45 

51  00 

50  15 

49  29 

48  43 

47  57 

47  10 

46  23 

7     00 

lO 

5308 

52  25 

51  43 

50  59 

50  17 

49  33 

48  50 

48  05 

47  21 

46  35 

45  50 

45  04 

10 

20 

51  34 

50  53 

50  12 

49  30 

48  48 

48  06 

47  24 

4641 

4558 

45  13 

44  29 

43  45 

20 

30 

49  59 

49  20 

4840 

47  59 

47  19 

4638- 

45  57- 

45  16 

44  34 

43  51 

43  08 

42  25 

30 

40 

48  24 

47  47 

47  07 

-46  28 

45  48 

45  08 

44  28 

43  48 

43  08 

42  26 

41  45 

41  04 

40 

SO 

46  48 

46  10 

45  33 

44  54 

44  16 

4338 

43  00 

42  20 

41  41 

41  01 

40  21 

3941 

SO 

8 

OO 

45  09 

44  34 

43  57 

43  20 

42  43 

42  05 

41  28 

4051 

40  13 

-39  34 

3856 

38  17 

8     00 

lO 

43  31 

42  56 

42  20 

41  45 

41  09 

40  33 

39  57 

39  21 

3845 

3806 

37  30 

36  53 

10 

20 

41  51 

41  17 

40  42 

40  08 

39  34 

3859 

3825 

37  49 

37  14 

3638 

36  03 

35  27 

20 

30 

40  09 

39  36 

39  03 

3830 

37  57 

37  23 

36  50 

36  16 

35  43 

35  09 

34  34 

34  00 

30 

40 

3826 

37  54 

37  22 

36  51 

36  19 

35  47 

35  15 

3442 

34  10 

33  37 

33  04 

32  31 

40 

SO 

36  41 

36  II 

35  41 

35  10 

34  40 

34  09 

33  39 

33  07 

32  36 

32  05 

31  33 

31  03 

SO 

9 

OO 

34  55 

34  27 

33  57 

33  28 

32  59 

32  30 

32  00 

31  30 

31  02 

30  32 

30  01 

29  32 

9     00 

lO 

33  08 

32  41 

32  13 

31  45 

31  18 

3049 

30  22 

29  54 

29  25 

28  57 

28  29 

28  00 

10 

20 

31  20 

3054 

30  28 

30  02 

29  35 

29  08 

28  42 

28  15 

27  49 

27  21 

26  55 

26  28 

20 

30 

29  30 

29  06 

28  41 

28  15 

27  51 

27  26 

27  00 

26  36 

26  II 

25  44 

25  20 

24  54 

30 

40 

27  40 

27  16 

26  52 

26  28 

26  05 

25  41 

25  18 

24  55 

24  32 

24  07 

23  43 

23  19 

40 

SO 

25  47 

25  24 

25  03 

24  41 

24  19 

23  57 

23  35 

23  12 

22  50 

22  28 

22  06 

21  44 

SO 

lO 

OO 

23  54 

23  33 

23  13 

22  52 

22  32 

22  II 

21  50 

21  30 

21  09 

20  48 

20  28 

20  07 

10     00 

lO 

21  59 

21  40 

21  20 

21  01 

20  43 

20  24 

20  05 

19  46 

19  27 

19  08 

18  49 

18  30 

10 

20 

20  03 

19  45 

19  28 

19  11 

18  53 

18  36 

18  19 

18  02 

17  44 

17  27 

17  10 

16  52 

20 

30 

18  05 

17  50 

17  35 

17  18 

17  03 

16  48 

16  32 

16  16 

16  01 

15  45 

1529 

15  13 

30 

40 

16  08 

15  53 

15  39 

15  26 

15  12 

14  57 

14  43 

14  29 

14  16 

14  01 

1348 

13  33 

40 

SO 

14  09 

13  56 

13  44 

13  31 

13  19 

13  07 

12  54 

12  42 

12  31 

12  18 

12  06 

II  53 

SO 

11 

OO 

12  09 

11  58 

II  48 

"  37 

II  26 

II  16 

II  06 

10  54 

10  44 

10  34 

10  23 

10  12 

11     00 

lO 

10  09 

10  00 

9  51 

942 

9  33 

9  24 

9  15 

9  07 

858 

8  48 

8  40 

831 

10 

20 

8  07 

8  00 

7  53 

7  47 

7  39 

7  32 

7  24 

7  18 

7  II 

7  03 

6  56 

6  49 

20 

30 

6  06 

6  00 

5  55 

5  50 

5  45 

5  39 

5  34 

5  29 

5  23 

5  18 

5  13 

5  07 

30 

40 

4  04 

4  01 

3  57 

3  53 

3  50 

3  46 

3  43 

3  39 

3  35 

3  31 

3  28 

3  25 

40 

SO 

2  03 

2  01 

I.  59 

I  57 

I  55 

I  53 

I  52 

I  50 

I  48 

I  46 

I  44 

I  43 

SO 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Jforth  latitude,  when  the  star  is  rising  or  Eas*:  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  .abulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
eupplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


195 


AZIMUTH  OR  TRUE  BEARING. 


L.ATITi:i>E  47= 


DECLINATION— SAME  NAME  AS-LATITUDE. 


liATITUBE  47°. 


Hoar  Angle. 


Ii. 

O 


lO 


11 


12 


m. 
OO 
lO 
SO 

»o 

40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
SO 

OO 
lO 
20 
39 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


48° 


4»° 


O   OO 

58  28 

71  40 

76  05 

77  55 

78  39 

78  51 
78  44 
78  25 
77  57 
77  23 
76  46 

76  04 
75  20 
74  34 
73  46 

72  57 
72  06 

71  14 
70  21 
69  27 
68  31 
67  35 
6638 

65  40 
64  41 

63  41 
62  41 

61  39 
60  35 

59  32 
58  28 
57  23 
56  16 
55  09 
54  00 

52  51 
51  41 
50  30 
49  18 
48  05  I 
46  51  1 

45  35  1 
44  18  I 
43  00 
41  41 
40  22  , 
39  01  j 

37  38 
36  15 
34  51  I 
33  25  , 
31  58  1 
3030  I 

29  02 
27  32  ' 
26  01  1 
24  28 
22  55 
21  21 

19  47 
18  II 
16  34 
14  57 
13  19 
II  41 

10  o: 
8  22 
6  42 
5  02 
3  22 
I  41 
o  00 


3859 

57  16 
65  31 

69  41 

71  57 

73  13 

73  51 

74  07 
74  07 
73  55 
73  37 

73  10 

72  39 
72  05 
71  26 
7046 

70  03 

69  17 
68  29 
67  41 
6650 

P^ 
65  06 

64  II 
63  15 
62  19 
61  21 
60  22 
59  23 

58  21 
57  19 
56  16 
55  12 
54  06 
53  00 

51  52 
50  44 
49  35 
48  24 
47  12 
46  00 

44  45 
43  30 
42  14 

4057 
39  39 
38  20 

3658 
35  37 
34  13 
32  50 
31  24 
2958 

28  31 
27  02 
25  33 
24  02  I 
22  31  ! 
20  59 

19  25 

17  51  ! 
16  16 


50° 


14  41 

13  05 
II  28 

§51 

8  13 
6  35 

I  39 

0  00 

o  00 

27  59 

46  00 
5606 

61  57 
65  29 

67  40 
69  02 

69  50 

70  17 
70  28 
70  27 

70  16 
6958 

69  06 
6833 
67  57 

67  19 
6637 
65  53 
65  08 
64  21 
63  33 

62  42 
61  50 
6056 
60  01 

59  05 
5808 

57  09 
56  10 

55  09 
54  07 
53  04 
51  59 

50  54 
49  47 
48  40 

47  31 
46  20 

45  09 

43  57 
42  43 
41  29 

40  13 
3856 
37  38 

36  19 
34  59 
33  37 
32  14 
30  51 
29  26 

28  00 
26  33 
25  06 
23  36 
22  06 
20  36' 

19  05 
17  32 

15  59 
14  25 
12  51 
II  16 

0  40 
8  04 
6  28 
4  51 
3  14 

1  37 
o  00 


51°        52°        53° 


o  00 
21  21 

37  30 

48  06 

54  55 

59  22 

62  19 

64  18 
6538 

66  29 

67  00 
67  16 

67  20 
67  14 
67  01 
66  43 
66  19 

65  50 

65  19 
64  43 
64  05 

63  25 
62  42 
61  58 

61  II 

60  22 

59  32 
58  40 
57  47 
56  53 

55  56 
54  59 
54  00 
53  01 
52  00 
50  57 

49  53 
4848 

47  42 
46  36 
45  28 
44  17 

43  07 
41  55 
40  42 
39  28 

38  12 
3656 

35  39 
34  20 
33  00 
31  39 
30  17 

2854 

27  28 
26  04 
24  37 
23  10 
21  41 
20  13 

1843 
17  12 
15  41 
14  09 
12  36 
II  03 

9  29 

6  21 
4  46 
3  II 
I  35 
o  00 


o  00 

17  03 

31  07 

41  27 

48  40 

53  43 

57  15 

59  44 

61  30 

62  43 

63  34 

64  06 

64  24 
64  31 
64  28 
64  19 
64  03 
6343 

63  17 
62  48 
62  16 
61  41 
61  02 

60  21 

59  39 
5854 

58  07 
57  19 
56  28 
55  37 

54  43 
5348 
52  51 
51  54 
50  54 

49  55 

4853 
47  50 
46  46 
45  40 
44  34 
43  26 

42  17 
41  07 
39  55 
3842 
37  29 
36  14 

34  58 
33  40 

32  23 
31  03 
29  43 
28  21 

26  57 

25  34 
24  10 
22  44 
21  17 
19  49 

18  22 
16  53 
15  24 
13  53 
12  22 
10  50 

9  19 
7  46 
6  14 
4  40 
3  07 
I  34 
o  00 


o  00 

14  02 

26  17 

35  57 

43  14 

48  34 

52  30 

55  24 

57  31 

59  04 

60  II 
6058 

61  29 
61  48 
61  55 
61  55 
61  48 
61  34 

61  15 
60  51 
60  25 
59  55 
59  21 

58  44 

58  04 
57  24 

56  40 
55  55 
55  08 
54  19 

53  28 
52  35 
51  42 
50  46 

49  50 
4851 

47  51 
46  49 
45  48 

44  44 
43  40 
42  34 

41  26 
40  17 
39  07 
37  56 

36  45 
35  31 

34  16 
33  01 
31  44 
30  26 
29  08 

27  47 

26  26 
25  04 
23  41 
22  17 
20  52 
19  26 

18  00 
16  33 

15  05 
13  37 
12  08 
10  38 

9  07 
7  36 
6  05 
4  35 
3  03 
I  32 
o  00 


540 


o  00 

II  51 
22  32 

31  25 
3829 
43  56 

48  05 
51  16 
53  40 

55  29 

56  52 

57  52 

5836 
59  04 
59  22 
59  31 
59  31 
59  24 


58  55 
5833 
58  07 
57  38 
57  06 

56  31 
55  53 
55  13 
54  31 
53  47 
52  59 

52  II 
51  22 
50  30 
49  37 
48  42 
47  46 

46  49 
45  50 
44  49 

43  47 
42  45 
41  40 

40  34 
39  27 
38  19 
37  10 
36  00 
34  48 

33  39 
32  21 
31  05 
29  49 
28  32 
27  14 

25  55 
24  33 
23  13 
21  50 
20  27 
19  04 

17  39 
16  13 

14  47 
13  20 
II  53 
10  25 

857 
7  28 
558 
4  29 
2  59 
1.30 
o  00 


65° 


56° 


10  09 

19  33 
27  41 

34  23 

39  46 

44  03 

47  25  ' 

50  02 

52  03 

53  39 

54  50  I 

55  44  ! 

56  22  ' 

56  50  ; 

57  06 
57  14  i 
57  14  I 

57  08  ' 
5657 
56  40 
56  19 
55  54 
55  26 

54  55 
54  21  i 
53  44  ' 
53  05 
52  23 

51  40 

50  55  ; 
50  07 
49  19 

48  27 
47  34 
46  41 

45  45 
44  48 
43  50 
42  50 
41  49 

40  46 

39  42 
38  37 
37  31 
36  23 

35  14 
34  04 

32  52 

31  40 
30  27 
29  12 
27  57  ' 
26  40  I 

25  22  ' 
24  03 
22  44 
21  24  j 

20  02 
18  40 

17  17 
15  53 
14  28 
13  03 
M  38 

ID  12 
845 

7  18 
5  52 
4  24 
2  55 
I  28 


o  00 

850 
17  08 

24  31 

30  50 

36  04 

40  21 

43  48 

46  33 

48  47 

50  31 

51  53 

52  56 

53  44 

54  19 
54  43 

54  57 

55  04 

55  04 
5458 
54  47 
54  30 
54  10 
53  46 

53  18 
52  48 
52  15 
SI  39 
51  01 
50  20 

49  37 
4852 
48  05 

47  17 
46  26 

45  35 

44  41 
43  46 
42  50 

41  51 
40  53 
39  51 

3850 

37  46 
36  41 
35  36 
34  29 
33  21 

32  II 

31  00 
29  48 
28  36 
27  21 
26  04 

24  50 
23  32 
22  15 
20  56 
19  37 
18  16 

1655 
15  33 
14  10 
12  47 
II  24 
959 

834 
7  10 

5  44 
4  18 
2  52 
I  26 
o  00 


57° 


o  00 

7  47 
15  09 
21  52 
27  45 

32  46 

3658 

40  26 

43  18 

45  37 

47  29 
4859 

50  II 

51  06 

51  49 

52  19 
52  40 
52  53 

52  59 
5258 
52  51 
52  40 
52  24 
52  04 

51  40 
51  13 
5043 
50  10 

49  35 
4857 

48  17 
47  35 

46  51 
46  05 
45  17 

44  27 

43  35 
42  43 

41  48 
40  52 
39  54 
3856 

37  56 
36  54 
35  51 
34  47 

33  42 
32  35 

31  27 
30  18 
29  08 
27  57 
26  44 
25  31 

24  17 
23  02 
21  46 
20  29 
19  II 
17  52 

16  33 
15  12 
13  52 
12  30 
II  08 
9  46 

823 
6  59 
536 
4  12 
2  49 
1  24 
o  00 


58°        59° 


0  00 

0  00 

653 

6  10 

13  30  , 

12  07 

19  37 

17  40 

25  04 

2243 

•  29  50 

27  12 

33  55 

31  08 

37  21 

34  30 

40  14  : 

37  22 

42  37 

39  48 

44  36 

41  50 

46  12  , 

43  31 

47  31  ' 

44  55 

48  32 

46  03 

49  22 

46  57 

49  59 

47  39 

50  25 

48  12 

5044 

4836 

50  55 

4851 

50  59 

49  00 

50  57 

49  03 

50  49 

49  00 

5038 

48  52 

50  22 

4839 

50  02 

48  23 

4938 

4803 

49  12 

47  39 

48  42 

47  13 

48  09 

46  43 

47  35 

46  II 

4657 

45  37 

46  18 

44  59 

45  35 

44  20 

44  52 

43  39 

44  06 

42  55 

43  18 

42  10 

42  30 

41  33 

41  39 

40  34 

40  46 

39  44 

39  52 

3851 

3856 

37  59 

38  00 

37  03 

37  02 

3606 

36  01 

35  09 

35  01 

34  09 

3358 

33  09 

32  54 

32  07 

31  49 

31  04 

30  43 

2959 

11^ 

28  54 

27  47 

27  19 

26  39 

26  08 

25  31 

24  56 

24  21 

23  44 

23  10 

22  30 

21  58 

21  16 

20  46 

20  00 

19  32 

18  44 

18  18 

17  27 

17  03 

16  ID 

15  47 

14  52 

14  31 

13  33 

13  14 

12  13 

11  56 

10  53 

10  38 

9  33 

9  19 

8  12 

8  00 

6  50 

6  41 

5  29 

5  21 

4  06 

4  01 

2  45 

2  41 

I  22 

I  20 

0  00 

0  00 

Hoar  Aogle. 


10 


11 


12 


m. 
00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
SO 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  iNorth  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


196 


AZIMUTH  OR  TRUE  BEARING. 


liATlTUDE  47°. 

DE;CI.INATI0N— SAME  NAME  AS— 1,ATITUDE. 

LATITUDE  47°. 

Hour  An 

gle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

h. 

m. 

O   ' 

0  / 

0  t 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1- 

0  / 

0  / 

Ii.    m. 

O 

OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

5  31 

5  00 

4  31 

4  06 

3  45 

3  25 

3  07 

2  51 

2  37 

2  23 

2  11 

10 

20 

10  54 

9  51 

857 

8  08 

7  25 

6  46 

6  II 

5  40 

5  II 

4  45 

4  21 

20 

30 

15  58 

14  28 

13  10 

12  01 

10  58 

10  02 

9  12 

8  25 

7  43 

7  05 

6  29 

30 

40 

20  38 

18  48 

17  09 

15  42 

14  22 

13  10 

12  05 

II  05 

10  II 

9  20 

834 

40 

50 

24  51 

22  45 

20  51 

19  06 

17  33 

16  08 

14  50 

13  37 

12  32 

II  31 

10  34 

SO 

1 

OO 

28  35 

26  18 

24  12 

22  16 

20  30 

18  54 

17  25 

16  02 

14  47 

13  36 

12  30 

1    00 

lO 

31  52 

29  26 

27  12 

25  08 

23  13 

21  27 

19  49 

18  18 

.  16  54 

15  35 

14  21 

10 

20 

34  42 

32  12 

29  53 

27  42 

25  42 

23  49 

22  03 

20  24 

18  52 

17  25 

16  05 

20 

30 

37  07 

34  37 

32  14 

30  00 

27  54 

25  56 

24  05 

22  21 

20  42 

19  10 

17  43 

30 

40 

39  II 

36  40 

34  18 

32  01 

29  53 

27  52 

25  56 

24  ©S 

22  24 

20  46 

19  14 

40 

50 

40  55 

38  27 

36  04 

33  48 

31  38 

29  35 

27  37 

25  44 

23  57 

22  16 

20  39 

SO 

3 

OO 

42  23 

39  57 

37  36 

35  20 

33  II 

31  05 

29  06 

27  12 

2522 

23  37 

21  57 

2    00 

lO 

43  35 

41  12 

38  54 

36  40 

34  31 

32  26 

30  25 

28  30 

26  39 

24  51 

23  oS 

10 

20 

44  34 

42  16 

40  00 

3748 

35  40 

33  36 

31  35 

29  39 

27  47 

^§58 

24  14 

20 

30 

45  22 

43  07 

40  55 

38  45 

36  39 

34  37 

32  37 

30  41 

28  48 

26  58 

25  12 

30 

40 

45  59 

43  49 

41  40 

39  34 

37  30 

35  29 

33  30 

31  34 

29  41 

27  52 

26  05 

40 

50 

46  27 

44  21 

42  16 

40  12 

38  II 

36  II 

34  14 

32  20 

30  27 

2837 

26  50 

SO 

3 

OO 

46  47 

44  45 

42  44 

40  43 

38  44 

3648 

34  52 

32  58 

31  07 

29  19 

27  32 

3    00 

lO 

47  oi 

45  03 

43  05 

41  08 

39  12 

37  18 

35  24 

33  31 

31  42 

29  53 

28  07 

10 

20 

47  08 

45  14 

43  19 

41  25 

39  32 

37  40 

35  49 

34  00 

32  10 

30  23 

2837 

20 

30 

47  09 

45  18 

43  27 

41  36 

39  47 

3758 

36  08 

34  20 

32  33 

30  47 

29  02 

30 

40 

47  05 

45  17 

43  30 

41.42 

39  55 

3809 

36  23 

34  37 

32  51 

31  07 

29  23 

40 

50 

46  56 

45  12 

43  28 

41  43 

40  00 

38  15 

36  32 

34  48 

33  05 

31  21 

29  40 

SO 

4 

OO 

46  43 

45  03 

43  22 

41  40 

39  59 

38  18 

3636 

34  54 

33  14 

31  33 

29  52 

4    00 

lO 

46  26 

44  49 

43  12 

41  33 

39  55 

38  15 

3636 

34  57 

33  18 

31  39 

30  00 

10 

20 

46  06 

44  31 

42  57 

41  22 

39  45 

38  10 

36  32 

34  56 

33  19 

31  42 

30  05 

20 

30 

45  42 

44  12 

42  40 

41  06 

39  33 

38  00 

36  25 

34  51 

33  16 

31  41 

30  06 

30 

40 

45  15 

43  47 

42  18 

40  48 

39  17 

37  46 

36  15 

34  43 

33  10 

31  37 

30  04 

40 

50 

44  46 

43  20 

41  54 

40  27 

38  59 

37  30 

36  01 

34  31 

33  00 

31  29 

2958 

SO 

5 

OO 

44  15 

42  52 

41  27 

40  03 

3837 

37  II 

35  44 

34  16 

3248 

31  20 

29  50 

5     00 

lO 

43  40 

42  20 

40  58 

39  36 

38  13 

36  49 

35  24 

33  59 

32  33 

31  06 

2938 

10 

20 

43  03 

41  45 

40  26 

39  06 

37  45 

36  24 

35  02 

33  39 

32  15 

30  50 

29  25 

20 

30 

42  23 

41  09 

39  53 

38  35 

37  16 

35  57 

34  37 

33  16 

31  54 

30  32 

29  08 

30 

40 

41  43 

40  30 

39  15 

38  00 

36  44 

35  28 

34  10 

32  51 

31  31 

30  II 

28  50 

40 

SO 

41  00 

39  49 

38  37 

37  24 

36  10 

34  56 

33  40 

32  24 

31  06 

29  48 

28  29 

SO 

6 

OO 

40  14 

39  06 

37  57 

36  46 

35  34 

34  21 

3308 

31  54 

30  39 

29  22 

28  05 

6     00 

lO 

3928 

38  21 

37  15 

36  05 

34  56 

33  46 

32  35 

31  23 

30  09 

2855 

27  40 

10 

ao 

38  40 

37  35 

36  30 

35  24 

34  17 

33  09 

31  59 

30  49 

2938 

28  25 

27  12 

20 

30 

37  49 

36  48 

35  44 

34  39 

33  35 

32  28 

31  21 

30  14 

29  04 

27  54 

26  44 

30 

40 

3658 

3558 

34  56 

33  53 

32  51 

31  47 

30  42 

2036 
28  57 

28  29 

27  21 

26  13 

40 

50 

36  05 

35  07 

34  07 

33  07 

32  05 

31  04 

30  01 

27  52 

26  47 

25  39 

SO 

7 

OO 

35  10 

34  14 

33  17 

32  18 

31  20 

30  19 

29  19 

28  l6 

27  14 

26  10 

25  06 

7     00 

lO 

34  14 

33  19 

32  25 

31  28 

30  31 

29  33 

28  34 

27  35 

26  34 

25  32 

24  29 

10 

20 

33  17 

32  24 

31  31 

30  36 

29  41 

28  45 

27  49 

26  51 

25  53 

24  52 

23  51 

20 

30 

32  18 

31.28 

30  36 

29  44 

28  50 

27  56 

•  27  01 

26  05 

25  09 

24  II 

23  13 

30 

40 

31  18 

30  29 

29  39 

28  49 

27  58 

27  06 

26  13 

25  19 

24  25 

23  30 

22  33 

40 

50 

30  17 

29  30 

28  42 

27  53 

27  04 

26  14 

25  23 

24  32 

23  39 

22  45 

21  52 

SO 

8 

OO 

29  15 
28  II 

28  29 

27  43 

26  56 

26  09 

25  21 

24  31 

23  42 

22  52 

22  00 

21  09 

8     00 

lO 

27  28 

26  43 

2558 

25  13 

24  27 

23  40 

22  53 

22  04 

21  14 

20  24 

10 

20 

27  05 

26  24 

25  43 

24  59 

24  16 

23  31 

22  46 

22  00 

21  14 

2(5  27 

19  39 

20 

30 

26  00 

25  21 

24  39 

23  59 
22  58 

23  17 

22  35 

21  52 

21  09 

20  24 

19  39 

1854 

30 

40 

24  53 

24  16 

23  37 

22  18 

21  37 

20  57 

20  15 

19  33 

18  49 

18  05 

40 

50 

23  45 

23  09 

22  32 

21  55 

21  17 

20  39 

20  00 

19  21 

18  41 

17  59 

17  18 

SO 

9 

OO 

22  36 

22  01 

21  27 

20  52 

20  16 

19  39 

19  02 

18  25 

17  47 

1708 

16  28 

9     00 

lO 

21  26 

20  53 

20  20 

19  48 

19  13 

18  39 

18  04 

17  29 

16  52 

16  16 

15  39 

10 

20 

20  15 

19  45 

19  14 

18  42 

18  10 

17  38 

17  06 

16  32 

1558 

15  23 

14  48 

20 

30 

19  04 

18  35 

18  06 

17  36 

17  06 

1636 

16  05 

15  33 

15  02 

14  29 

13  56 

30 

40 

17  51 

17  25 

16  57 

16  29 

16  01 

15  33 

15  04 

14  35 

14  05 

13  34 

13  03 

40 

50 

16  38 

16  13 

15  48 

15  22 

14  56 

14  29 

14  02 

■13  35 

13  07 

12  40 

12  10 

SO 

lO 

OO 

15  25 

15  01 

14  37 

14  14 

13  50 

13  25 

13  0° 

12  35 

12  09 

II  43 

II  17 

10   00 

lO 

14  10 

13  49 

13  27 

13  05 

12  43 

12  20 

II  57 

II  34 

II  10 

10  47 

10  22 

10 

20 

12  54 

12  35 

12  16 

II  55 

II  35 

II  15 

10  54 

10  34 

10  12 

9  50 

9  28 

20 

30 

II  39 

II  21 

II  03 

10  45 

10  27 

10  09 

9  50 

9  31 

9  12 
8  12 

8  52 

833 

30 

40 

10  23 

10  06 

9  51 

9  35 

9  19 

9  03 

846 

8  29 

l^c 

736 

40 

50 

9  05 

852 

838 

8  24 

8  10 

7  55 

7  41 

736 

7  II 

6  56 

6  40 

SO 

11 

OO 

7  48 

736 

7  25 

7  13 

7  01 

6  49 

6  36 

623 

6  II 

5  57 

5  43 

11     00 

10 

631 

6  21 

6  II 

6  02 

5  51 

5  41 

5  31 

520 

4  ^ 

458 

4  46 

10 

20 

5  13 

506 

4  57 

4  49 

4  42 

4  33 

4  25 

4  16 

3  59 

3  50 

20 

30 

3  55 

3  49 

3  43 

3  37 

3  31 

3  25 

3  18 

3  12 

306 

2  59 

2  52 

30 

40 

2  36 

2  33 

2  29 

2  25 

2  21 

2  17 

2  12 

2  08 

2  04 

2  00 

I  54 

40 

50 

I  19 

I  17 

I  15 

I  13 

I  10 

I  08 

I  06 

I  04 

I  02 

I  00 

0  57 

SO 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  starts  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


197 


AZIMUTH    OR    TRUE    BEARING. 


LATITUDE  48°. 

1 

DECLINATION- 

■ 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  48°. 

Honr  Angle. 

24° 

25° 

26° 

270 

28° 

a9° 

30° 

31° 

38° 

33° 

34° 

35° 

Hour  Angle. 

b.    III. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

b.    m. 

O     OO 

i8o  cx) 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

174  24 

174  12 

174  01 

173  48 

173  34 

173  19 

173  01 

172  42 

172  20 

171  56 

171  28 

170  57 

10 

20 

i68  51 

168  30 

16S  07 

167  41 

167  14 

166  43 

166  10 

165  33 

164  52 

164  06 

163  13 

162  13 

ao 

30 

163  27 

162  55 

162  22 

161  45 

161  05 

160  22 

159  35 

158  42 

157  44 

156  39 

155  26 

146  ^ 

30 

40 

158  11 

157  32 

156  49 

156  03 

155  13 

154 18 

153  19 

152  13 

151  02 

149  42 

148  14 

40 

50 

153  09 

152  22 

151  32 

150  37 

149  40 

148  36 

147  28 

146  12 

144  51 

143  22 

141  43 

139  53 

50 

1     OO 

148  22 

147  29 

146  32 

145  31 

144  27 

143 17 

142  01 

140  40 

139  11 

137  35 

135  51 

133  56 

1   00 

lO 

143  48 

142  51 

141  50 

140  43 

139  34 

138  20 

137  00 

135  34 

134  02 

132  22 

130  34 

12837 

10 

ao 

139  30 

138  29 

137  25 

136  15 

135  03 

133  45 

132  22 

130  54 

129  19 

127  39 

125  50 

123  54 

ao 

30 

135  27 

134  23 

13s  16 

132  05 

130  51 

129  31 

128  07 

126  38 

125  03 

123  23 

121  35 

119  41 

30 

40 

131  38 

130  32 

129  24 

128  12 

126  57 

125  36 

124  II 

122  43 

121  09 

119  29 

117  44 

"5  52 

40  ! 

50 

128  02 

126  56 

125  47 

124  35 

123  19 

121 59 

120  34 

119  06 

"7  35 

115  57 

114  14 

112  26 

60  1 

2     OO 

124  39 

123  33 

122  23 

121  II 

119  55 

118  37 

117  14 

115  46 

114  16 

112  42 

HI  01 

109  17 

a   00 

lO 

121  28 

120  22 

119  13 

118  00 

116  47 

115  28 

114  07 

112  42 

III  13 

10942 

108  05 

106  25 

10 

20 

118  27 

117  21 

116  12 

115  01 

113  48 

112  32 

III  11 

109  49 

108  23 

106  5i 

105  21 

103  45 

ao 

30 

"5  35 

114  30 

113  22 

112  13 

III  01 

109  45 

108  28 

107  07 

105  43 

104  18 

102  47 

loi  15 

30 

40 

"2  53 

HI  48 

110  42 

109  33 

loS  23 

107  09 

105  52 

104  34 

103  13 

loi  50 

100  23 

98  08 

9854 

40 

50 

no  19 

109  15 

108  09 

107  02 

105  53 

104  41 

103  27 

102  12 

100  52 

99  32 

96  42 

so 

3     OO 

107  50 

106  48 

105  44 

104  38 

103  30 

102  20 

lOI  08 

99  54 

9838 

97  20 

96  00 

9436 

3        00  ! 

lO 

105  28 

104  27 

103  24 

102  20 

101  13 

100  06 

9f  55 

97  43 

96  30 

95  12 

93  56 

92  36 

10  1 

ao 

103  12 

102  13 

101  II 

100  07 

99  03 

97  56 

9648 

9538 

94  27 

93  14 

91  58 

90  40 

ao 

30 

loi  01 

100  02 

99  01 

97  59 

96  57 

95  52 

94  45 

9338 

92  28 

91  18 
89  25 

90  05 

88  50 

30 

40 

9854 

^7  56 

96  57 

95  56 

94  56 

93  52 

92  47 

91  41 

90  34 

88  15 

87  02 

40 

50 

96  51 

95  55 

94  56 

93  57 

92  57 

91 56 

90  53 

8949 

88  43 

87  37 

86  28 

85  18 

50 

4     OO 

94  52 

93  56 

92  59 

92  02 

91  03 

90  03 

88  13 

89  01 

8759 

8657 

8551 

8445 

8336 

4       00  1 

lO 

92  55 

92  01 

91  04 

9009 

89  12 

87  12 

86  12 

85  10 

84  08 

83  03 

81  57 

10 

ao 

91  01 
89  09 

90  07 

89  14 

88  18 

87  22 

86  25 

85  26 

84  27 

83  27 

82  26 

81  23 

80  20 

ao 

30 

88  17 

87  24 

86  30 

8535 

8439 

8342 

8245 

81  46 

8047 

79  46 

78  44 

30 

40 

87  20 

86  28 

85  37 

84  44 

83  50 

82  56 

82  00 

81  03 

80  07 

79.09 

78  09 

77  09 

40 

50 

85  32 

84  42 

83  51 

82  59 

82  07 

8l  13 

8018 

79  24 

78  28 

77  32 

76  34 

7536 

50 

5     OO 

8346 

82  56 

82  06 

81  16 

80  24 

79  32 

78  39 

77  45 

76  50 

75  56 

74  59 

74  03 

5   00 

10 

82  00 

81  12 

80  23 

79  33 

7843 

77  51 

77  00 

76  07 

75  14 

74  20 

73  27 

72  32 

10 

ao 

80  17 

79  29 

78  40 

77  52 

77  03 

76  13 

75  21 

74  31 

73  39 

72  47 

71  54 

70  59 

ao 

30 

7833 

77  46 

7658 

76  II 

75  23 

74  33 

73  44 

72  54 

72  03 

71  13 

70  21 

69  27 

30 

40 

76  50 

76  04 

75  17 

74  30 

73  43 

72  55 

72  06 

71  17 

70  28 

69  39 

68  48 

6856 

40 

50 

7508 

74  23 

73  36 

72  51 

72  05 

71  18 

70  30 

69  42 

6854 

68  05 

67  16 

6625 

so 

6     OO 

73  25 

72  41 

71  55 

71  10 

70  26 

69  40 

6853 

68  06 

67  19 

6631 

65  43 

64  53 

6    00 

10 

71  42 

70  58 

70  14 

69  31 

68  46 

68  01 

67  15 

66  31 

65  44 

64  57 

64  10 

63  22 

10 

ao 

70  00 

69  17 

68  33 

67  51 

67  07 

66  23 

65  39 

64  53 

64  08 

63  23 

62  37 

61  50 

ao 

30 

68  17 

67  35 

66  52 

66  10 

65  27 

64  45 

64  01 

63  17 

62  33 

61  49 

61  04 

60  18 

30 

40 

6633 

65  52 

65  11 

64  30 

6348 

63  05 

62  22 

61  40 

60  57 

60  13 

59  30 

5845 

40 

50 

64  50 

64  10 

63  28 

62  48 

62  07 

61  25 

60  44 

60  02 

59  20 

5838 

57  55 

57  " 

so 

7          OO 

63  05 

62  26 

61  45 

61  06 

6026 

5946 

59  05 

58  24 

57  42 

57  01 

56  20 

55  37 

7   00 

lO 

61  20 

60  41 

60  02 

59  23 

5844 

58  04 

57  24 

56  45 

56  04 

55  24 

54  43 

54  02 

10 

ao 

59  34 

5856 

58  17 

57  39 

57  01 

56  22 

55  43 

55  04 

5425 

53  46 

5306 

52  26 

ao 

30 

57  47 

57  10 

56  31 

55  54 

55  18 

54  39 

54  02 

53  24 

52  45 

52  07 

51  29 

50  49 

30 

40 

5558 

55  22 

54  45 

54  09 

53  32 

52  55 

52  18 

51  41 

51  04 

50  27 

49  50 

49  II 

40 

50 

5409 

53  M 

52  57 

52  22 

51  47 

51  11 

50  33 

4958 

49  23 

4846 

48  10 

47  33 

so 

8     OO 

52  17 

51  43 

■  51  07 

50  33 

49  59 

49  23 

48  48 

48  14 

47  38 

47  04 

46  28 

45  52 

8   00 

lO 

50  26 

49  52 

49  17 

48  44 

48  II 

47  36 

47  02 

46  28 

45  54 

45  20 

44  46 

44  II 

10 

ao 

48  31 

47  58 

47  25 

46  53 

46  20 

45  47 

45  14 

44  41 

44  08 

43  35 

43  02 

42  28 

ao 

30 

4636 

46  04 

45  32 

45  01 

44  29 

43  56 

43  24 

42  53 

42  21 

41  49 

41  17 

40  45 

30 

40 

44  39 

44  08 

43  37 

43  07 

42  36 

42  05 

41  34 

41  03 

40  33 

40  02 

39  31 

39  00 

40 

50 

42  40 

42  10 

41  40 

41  10 

4041 

40  12 

39  42 

39  12 

3842 

38  13 

37  44 

37  13 

so 

»     OO 

40  40 

40  10 

39  41 

39  13 

3845 

38  17 

37  47 

37  19 

36  51 

36  23 

35  55 

35  25 

9   00 

lO 

3837 

38  10 

37  42 

37  14 

3647 

36  19 

35  52 

35  26 

34  59 

34  31 

34  05 

33  37 

10 

ao 

36  33 

36  07 

35  40 

35  14 

3448 

34  21 

33  55 

33  30 

33  04 

32  38 

32  13 

31  46 

ao 

30 

34  27 

34  02 

33  36 

33  II 

32  47 

32  23 

31  58 

31  33 

31  09 

3044 

30  19 

29  54 

30 

40 

32  19 

31  55 

31  31 

31  07 

30  44 

32  ^I 

29  57 

29  34 

29  II 

28  48 

2825 

28  02 

40 

50 

30  10 

29  47 

29  24 

29  03 

28  41 

28  18 

27  56 

27  35 

27  13 

26  52 

26  30 

26  07 

50 

lO     OO 

2758 

27  37 

27  16. 

26  55 

26  35 

26  14 

25  54 

25  33 

25  13 

24  53 

24  33 

24  12 

10       00 

lO 

25  45 

25  25 

25  06 

24  47 

24  28 

24  08 

23  49 

23  31 

23  12 

22  53 

22  35 

22  16 

10 

20 

23  31 

23  13 

22  55 

22  37 

22  20 

22  02 

21  44 

21  27 

21  II 

20  53 

20  36 

20  18 

ao 

30 

21  15 

20  59 

20  42 

20  26 

20  10 

19  54 

19  38 

19  22 

19  06 

18  51 

18  35 

18  19 

30 

40 

1857 

18  42 

18  28 

18  13 

17  58 

17  45 

17  30 

17  16 

17  02 

16  48 

16  34 

i6  20 

40 

50 

16  38 

16  25 

16  12 

15  59 

15  47 

15  34 

15  21 

15  09 

14  56 

■  14  45 

14  32 

14  20 

so 

11     OO 

14  17 

14  06 

13  55 
11  38 

13  44 

13  34 

13  22 

13  " 

13  01 

12  50 

12  40 

12  29 

12  18 

11   00 

10 

"  57 

II  47 

n  28 

II  19 

II  10 

11  01 

10  52 

10  43 

10  35 

10  26 

10  17 

10 

ao 

9  34 

926 

9  19 

9  12 

9  04 

857 

850 

843 

836 

8  29 

8  22 

814 

ao 

30 

7  II 

706 

700 

655 

6  49 

6  43 

638 

6  32 

627 

6  22 

6  16 

6  n 

30 

40 

4  48 

4  44 

4  40 

4  37 

4  33 

4  29 

4  25 

4  22 

4  19 

Vi 

4  " 

408 

40 

50 

2  24 

2  23 

2  21 

2  19 

2  17 

2  15 

2  13 

2  II 

2  10 

2  05 

2  03 

so 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

— ».=- — 

0  00 

12   00 

In  >orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

WTien  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  tf-e  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


198 


AZIMUTH  OR  TRUE  BEARING. 


liAOriTlIDE:  48°. 

DECLINATION- 

-SAME  NAME  AS— 1,ATITUDE. 

1 
liATITUDS;  48°. 

Hour  Angle. 

36° 

37° 

38° 

390 

40° 

410 

42° 

43° 

440 

46° 

46° 

470 

Hour  Angle. 

b. 

ni. 

o     / 

0    / 

0     / 

0     / 

0    / 

0     ' 

0     / 

0     1 

0     / 

0     ' 

•  0     ' 

0     / 

li.          ni. 

0 

OO 

iSo  oo 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

iSo  00 

180  00 

0          00 

lO 

170  21 

169  37 

168  46 

167  43 

166  27 

164  49 

162  41 

159  47 

155  37 

149  15 

13838 

119  42 

10 

20 

161  04 

159  44 

158  10 

156  18 

154  01 

151  14 

147  42 

143  10 

137  12 

129  15 

118  32 

104  38 

20 

30 

152  30 

150  42 

148  37 

146  12 

143  20 

139  56 

135  49 

130  50 

124  46 

117  24 

108  35 

98  23 

30 

40 

144  45 

142  40 

140  17 

137  34 

134  27 

130  52 

126  41 

121  51 

116  16 

109  51 

102  38 

94  43 

40 

50 

137  52 

135  38 

13308 

130  19 

127  09 

123  37 

119  37 

115  08 

no  07 

104  36 

9834 

92  06 

50 

1 

OO 

131  50 

129  33 

127  00 

124  12 

121  07 

117  45 

114  01 

109  56 

105  28 

100  40 

95  30 

90  03 

1           00 

10 

126  30 

124  13 

121  44 

119  01 

116  05 

112  55 

109  28 

105  45 

loi  45 

97  31 

93  01 

88  20 

10 

20 

121  49 

119  35 

117  10 

114  35 

III  49 

108  50 

105  39 

102  16 

98  40 

94  53 

90  55 

8647 

20 

30 

"7  39 

"5  29 

113  II 

no  43 

108  06 

105  20 

102  23 

99  17 

96  01 

92  36 

8903 

85  22 

30 

40 

"3  54 

III  50 

109  37 

107  18 

104-  50 

102  16 

99  33 

96  41 

93  42 

9036 

87  22 

84  03 

40 

50 

no  32 

10833 

106  27 

104  16 

101  57 

99  32 

97  00 

94  22 

91  37 

8846 

,85  49 

82  49 

50 

2 

OO 

107  29 

105  35 

103  35 

loi  30 

99  19 

97  04 

94  41 

92  14 

8942 

8705 

8423 

81  36 

2           00 

lO 

104  39 

102  52 

100  57 

9858 

9656 

94  48 

92  35 

90  18 

8756 

85  30 

8259 

80  24 

10 

20 

102  03 

100  20 

9831 

96  39 

94  43 

92  42 

9038 

88  29 

86  16 

84  00 

81  39 

79  16 

20 

30 

9938 

9758 

96  16 

94  29 

92  39 

90  44 

88  47 

86  46 

8441 

8234 

80  22 

78  08 

30 

40 

97  21 

95  46 

94  09 

92  27 

90  41 

88  54 

87  03 

85  09 

83  n 

81  10 

79  07 

77  01 

40 

50 

95  13 

93  42 

92  07 

90  31 

88  51 

8709 

85  23 

8335 

8i  44 

79  50 

77  53 

75  54 

50 

3 

OO 

93  II 

91  44 

90  13 

88  41 

87  05 

85  28 

8347 

82  05 

80  19 

7831 

7641 

74  48 

3           00 

lO 

91  13 

8950 

?f  ^3 

86  54 

85  24 

83  51 

82  14 

8037 

7856 

77  13 

75  29 

73  43 

10 

20 

89  22 

88  01 

•    8637 

85  12 

83  45 

82  16 

80  45 

79  II 

77  35 

75  58 

74  18 

72  37 

20 

30 

8734 

86  16 

8455 

8334 

82  10 

80  45 

79  17 

77  48 

76  16 

74  44 

73  08 

71  31 

30 

40 

85  49 

8433 

83  17 

81  58 

8037 

79  15 

77  52 

76  26 

7458 

73  29 

7158 

70  25 

40 

50 

84  07 

8255 

81  40 

80  24 

79  06 

7748 

76  27 

75  05 

73  41 

72  16 

7048 

69  20 

50 

4 

OO 

82  27 

81  18 

80  06 

7853 

7738 

76  22 

75  04 

73  45 

72  24 

71  02 

6938 

68  14 

4           00 

lO 

80  51 

79  43 

7833 

77  22 

76  10 

74  57 

73  42 

72  26 

71  08 

69  49 

68  29 

67  07 

10 

20 

79  15 

78  09 

77  02 

75  54 

74  43 

73  33 

72  21 

71  08 

69  52 

68  37 

67  19 

66  01 

20 

30 

77  41 

76  37 

75  32 

74  26 

73  18 

72  10 

71  00 

69  49 

68  37 

67  23 

6609 

64  53 
63  46 

30 

40 

76  09 

75  06 

74  03 

72  59 

71  53 

70  47 

69  40 

68  32 

67  21 

66  II 

6459 

40 

50 

74  37. 

73  36 

72  35 

71  32 

70  29 

69  25 

68  20 

67  14 

66  06 

64  57 

6348 

62  37 

50 

5 

OO 

73  05 

72  06 

71  07 

70  06 

69  05 

6803 

67  00 

65  55 

64  50 

63  43 

62  37 

61  28 

5           00 

lO 

71  34 

70  37 

69  40 

68  40 

67  41 

66  41 

65  39 

64  37 

63  34 

62  30 

61  25 

60  18 

10 

20 

70  04 

69  09 

68  12 

67  16 

66  18 

65  19 

64  19 

63  20 

62  17 

61  16 

60  13 

59  08 

20 

30 

6834 

67  40 

6645 

6550 

64  54 

6356 

62  58 

62  01 

61  01 

60  01 

58  59 

57  57 

30 

40 

67  04 

66  II 

65  19 

64  25 

63  29 

62  34 

61  38 

60  41 

59  43 

58  45 

57  46 

56  45 

40 

50 

65  35 

64  43 

63  52 

63  00 

62  06 

61  12 

60  17 

59  22 

58  26 

57  30 

56  32 

55  34 

50 

6 

OO 

64,  04 

63  14 

62  24 

61  33 

60  41 

59  49 
58  25 

5856 

58  03 

57  08 

56  13 

55  17 

54  21 

6           00 

lO 

62  34 

61  46 

60  57 

60  07 

59  16 

57  33 

56  42 

5548 

54  55 

54  01 

53  07 

10 

20 

61  04 

60  17 

59  28 

58  40 

57  51 

57  01 

56  II 

55  21 

54  29 

53  38 

52  45 

51  52 

20 

30 

59  32 

58  01 

5846 

57  59- 

57  12 

56  25 

55  37 

5448 

5358 

5308 

52  19 

51  27 

50  36 

30 

40 

57  16 

56  30 

55  44 

5458 

54  II 

53  23 

52  36 

51  47 

50  59 

50  09 

49  19 

40 

50 

56  28 

55  44 

55  00 

54  16 

53  30 

52  45 

51  59 

51  13 

50  25 

4938 

48  49 

48  02 

50 

7 

OO 

54  55 

54  12 

53  30 

52  46 

52  01 

51  18 

50  33 

49  48 

49  03 

48  16 

47  30 

46  43 

7           00 

lO 

53  20 

52  39 

51  57 

51  15 

50  32 

49  49 

49  06 

^823 

47  38 

46  54 

46  09 

45  22 

10 

20 

51  45 

51  05 

50  24 

49  44 

49  02 

48  21 

47  39 

46  57 

46  13 

45  30 

44  47 

44  02 

20 

30 

50  10 

49  31 

48  51 

48  12 

47  32 

46  51 

46  10 

45  29 

44  47 

44  05 

43  24 

42  41 

30 

40 

4833 

47  56 

47  17 

4638 

45  59 

45  20 

44  41 

44  01 

43  20 

42  40 

41  59 

41  18 

40 

50 

4656 

46  19 

45  41 

45  04 

44  26 

43  48 

43  II 

42  32 

41  53 

41  14 

40  34 

39  55 

50 

8 

OO 

45  16 

44  40 

44  04 

43  28 

42  51 

42  15 

4138 

41  01 

40  23 

39  46. 

3908 

3830 

8           00 

lO 

43  37 

43  02 

42  28 

41  53 

41  17 

40  41 

40  06 

39  30 

38  54 

38  17 

37  40 

37  03 

10 

20 

41  55 

41  21 

40  48 

40  14 

39  40 

39  06 

38  32 

37  58 

37  22 

36  47 

36  12 

35  37 

20 

30 

40  12 

39  40 

39  07 

3835 

38  02 

37  30 

3656 

36  23 

35  50 

35  17 

3442 

34  09 

30 

40 

38  28 

37  58 

3726 

36  55 

36  23 

35  52 

35  21 

34  49 

34  16 

33  45 

33  12 

32  40 

40 

60 

36  43 

36  14 

35  44 

35  14 

34  44 

34  13 

33  44 

33  13 

32  42 

32  12 

31  41 

31  10 

50 

9 

OO 

34  57 

34  29 

34  00 

33  31 

33  02 

32  34 

32  04 

31  36 

31  07 

30  37 

30  07 

2938 

9           00 

lO 

33  10 

32  43 

32  15 

31  47 

31  20 

30  52 

30  25 

2958 

29  31 

29  02 

28  34 

28  06 

10 

20 

31  21 

30  55 

30  29 

30  03 

29  37 

29  II 

28  45 

28  19 

27  52 

27  26 

26  59 

26  33 

20 

30 

29  30 

29  06 

28  41 

28  17 

27  52 

27  28 

27  03 

26  39 

26  14 

25  49 

25  24 

24  59 

30 

40 

27  39 

27  16 

26  52 

26  30 

26  06 

25  44 

25  20 

24  58 

24  33 

24  10 

23  46 

23  23 

40 

50 

25  46 

25  24 

25  03 

24  41 

24  20 

23  58 

23  36 

23  14 

22  52 

22  31 

22  10 

21  47 

50 

lO 

OO 

23  52 

23  33 

23  12 

22  53 

22  32 

22  12 

21  52 

21  32 

21  II 

20  51 

20  30 

20  II 

10           00 

lO 

21  57 

21  38 

21  20 

21  02 

20  43 

20  25 

20  06 

19  47 

19  28 

19  10 

18  51 

18  33 

10 

20 

20  01 

19  44 

19  28 

19  10 

1854 

18  36 

18  19 

18  02 

17  45 

17  29 

17  II 

16  54 

20 

30 

18  04 

17  49 

17  33 

17  18 

17  03 

16  48 

16  33 

16  17 

16  01 

15  46 

15  30 

15  15 

30 

40 

16  06 

15  53 

15  39 

15  26 

15  12 

14  58 

14  44 

14  31 

14  16 

14  02 

1348 

13  35 

40 

50 

1407 

13  56 

13  43 

13  31 

13  19 

13  07 

12  55 

12  43 

12  31 

12  19 

12  07 

II  55 

50 

11 

OO 

12  08 

II  58 

II  47 

II  37 

II  26 

II  16 

II  05 

10  55 

10  45 

10  34 

10  24 

10  14 

11           00 

lO 

10  08 

9  59 

9  50 

942 

9  33 

9  24 

9  16 

9  06 

858 

8  49 

8  41 

832 

10 

20 

8  07 

8  00 

7  53 

7  46 

7  39 

7  32 

7  25 

7  18 

7  II 

7  04 

657 

6  50 

20 

30 

6  06 

6  00 

5  55 

5  49 

5  45 

5  39 

5  34 

5  29 

5  23 

5  18 

5  13 

508 

30 

40 

4  04 

4  01 

3  57 

3  53 

3  50 

3  46 

3  43 

3  39 

3  36 

3  32 

3  29 

3  25 

40 

50 

2  02 

2  00 

I  58 

I  57 

I  55 

I  53 

I  51 

I  50 

I  48 

I  46 

I  45 

I  43 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12           00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
Bupplemeut  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


199 


AZIMUTH  OR  TRUE  BEARING. 


L.ATITIJDE  48'. 

DECWNATION- 

-SAME  NAME  AS— LATITUDE. 

latitude:  48°. 

Hour  Angle. 

48° 

4»° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

50° 

1. 
Hour  Angle. 

Ii.    m. 

0  / 

0  / 

0  /  . 

0  / 

0  1 

0  / 

0  1 

0  .  / 

0  / 

0  / 

0  / 

1 
h.    ni. 

O     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

89  04 

57  58 

38  24 

27  29 

2056 

16  41 

13  44 

II  34 

9  55 

^37 

7  34 

6  42 

10 

20 

88  08 

71  21 

56  45 

45  23 

3654 

30  33 

25  45 

22  02 

19  05 

16  43 

14  47 

13  09 

20 

30 

87  13 

75  49 

65  04 

55  33 

47  29 

40  48 

35  20 

30  49 

27  05 

2358 

21  21 

19  06 

30 

40 

86  17 

77  42 

69  18 

61  28 

54  21 

4803 

42  33 

37  49 

33  43 

30  II 

27  07 

24  27 

40 

50 

85  21 

78  28 

71  37 

65  02 

5850 

5307 

47  55 

43  15 

39  05 

35  22 

32  05 

29  09 

50 

1    00 

84  25 

78  39 

72  54 

67  15 
6838 

61  49 

5641 

51  52 

47  25 

43  21 

39  37 

36  15 

33  II 

1    00  1 

10 

8328 

78  32 

73  34 

63  50 

59  12 

54  47 

50  37 

46  42 

43  05 

39  43 

3636 

10 

20 

82  32 

78  13 

73  50 

69  29 

65  II 

61  00 

5656 

53  03 

49  20 

45  51 

.42  33 

39  29 

20 

30 

40 

81  35 
8039 

77  45 
77  10 

73  50 
73  39 

69  57 

70  08 

66  04 
6636 

62  15 
6306 

58  31 

59  39 

^53 
56  16 

51  24 
53  00 

48-04 
49  50 

^  46 

41  52 
4350 

30 
40 

50 

7942 

76  32 

73  21 

70  07 

6652 

63  39 

60  27 

57  18 

54  13 

51  12 

4817 

45  27 

50 

2     00 

78  44. 

75  50 

72  54 

6956 

6656 

6358 

60  59 

58  02 

5508 

52  17 

49  30 

46  46 

2    00 

10 

77  47 

75  06 

72  22 

6938 

66  51 

64  05 

61  18 

58  32 

55  47 

53  05 

50  26 

47  49 

10 

20 

76  49 

74  19 

71  48 

69  14 

6639 

64  03 

61  26 

58  50 

56  15 

53  41 

51  09 

4839 

20 

30 

75  50 

73  31 

71  09 

6846 

66  20 

6354 

61  26 

58  59 

56  31 

54  05 

51  40 

49  16 

30 

40 

74  52 

72  41 

70  27 

68  13 

65  55 

6338 

61  19 

5859 

56  40 

54  21 

52  02 

49  44 

40 

50 

73  53 

71  50 

69  43 

67  37 

65  27 

63  17 

61  06 

5854 

56  40 

5428 

52  16 

50  03 

50 

3     00 

72  53 

70  57 

6857 

6657 

64  55 

62  52 

6047 

5842 

5635 

5*28 

52  22 

50  14 

3     00 

10 

71  53 

70  02 

68  09 

66  16 

64  19 

62  22 

60  24 

58  24 

56  24 

54  22 

52  21 

50  19 

10 

20 

70  53 

6908 

67  20 

65  32 

6342 

61  50 

59  56 

58  02 

5608 

54  II 

52  15 

50  18 

20 

30 

69  52 

68  12 

6630 

64  46 

6300 

61  14 

59  26 

57  37 

55  47 

53  55 

52  04 

50  II 

30 

40 

68  51 

67  15 

65  37 

6358 

62  18 

6036 

58  52 

57  08 

55  22 

53  36 

51  48 

50  00 

40 

50 

67  49 

6615 

64  41 

63  07 

61  31 

59  55 

58  16 

5636 

54  54 

53  12 

51  28 

49  44 

60 

4     00 

6647 

65  19 

63  49 

62  18 

60  45 

59  II 

5736 

56  00 

54  23 

52  45 

51  05 

49  24 

4     00 

10 

65  44 

64  18 

62  52 

61  25 

59  56 

58  26 

5655 

55  22 

5348 

52  14 

50  38 

49  01 

10 

20 

64  40 

63  18 

61  55 

60  32 

59  06 

57  39 

56  12 

54  43 

53  12 

51  41 

50  08 

4834 

20 

30 

63  35 

62  17 

60  57 

59  37 

58  15 

56  50 

55  26 

54  00 

52  33 

51  05 

49  36 

48  06 

30 

40 

62  31 

61  14 

5958 

58  40 

57  21 

56  00 

54  39 

53  16 

51  51 

50  26 

49  01 

"^l^ 

40 

50 

61  25 

60  12 

58  57 

57  42 

5626 

5508 

53  49 

52  30 

51  08 

49  46 

4823 

46^ 

50 

5     00 

60  18 

59  08 

57  56 

56  43 

55  29 

54  15 

5258 

51  41 

50  23 

49  03 

47  43 

46  21 

5     00 

10 

59  II 

58  03 

56  53 

55  43 

54  31 

53  19 

52  06 

50  51 

49  35 

48  19 

4700 

45  42 

10 

20 

58  03 

56  57 

55  50 

54  42 

53  33 

52  23 

51  II 

50  00 

4847 

47  32 

46  16 

45  01 

20 

30 

56  54 

55  50 

■  54  45 

53  40 

52  33 

51  25 

50  16 

4006 
48  II 

47  55 

46  43 

45  31 

44  16 

30 

40 

55  45 

54  43 

53  40 

52  37 

51  32 

50  26 

49  19 

47  03 

45  54 

44  43 

43  31 

40 

50 

54  34 

53  35 

52  33 

51  32 

50  29 

49  26 

48  21 

47  16 

46  09 

45  02 

43  54 

42  45 

50 

6     00 

53  23 

52  25 

51  26 

50  27 

49  24 

48  24 

47  22 

46  18 

45  14 

44  09 

43  03 

41  56 

6    00 

10 

52  10 

51  14 

50  16 

49  19 

48  20 

47  21 

46  20 

45  19 

44  17 

43  14 

42  09- 

41  05 

10 

20 

5058 

50  03 

49  07 

48  II 

47  14 

46  17 

45  19 

44  19 

43  18 

42  18 

41  15 

40  13 

20 

30 

49  43 

48  50 

47  57 

47  03 

46  08 

45  12 

44  15 

43  17 

42  18 

41  20 

40  20 

39  18 

30 

40 

48  28 

47  37 

46  45 

45  53 

44  59 

44  04 

43  10 

42  15 

41  18 

40  21 

39  22 

38  24 

40 

50 

47  12 

46  23 

45  32 

4441 

43  49 

42  57 

42  04 

41  10 

40  15 

39  21 

38  24 

37  27- 

50 

7     00 

45  55 

45  07 

44  17 

43  30 

42  39 

41  48 

40  57 

'♦?°5 

39  12 

38  19 

37  25 

36  29 

7    00 

10 

44  37 

43  50 

43  02 

42  15 

41  27 

40  38 

39  49 

3858 

38  07 

37  15 

36  23 

35  30 

10 

20 

43  18 

42  32 

41  46 

41  01 

40  13 

39  27 

38  39 

37  50 

37  01 

36  12 

35  21 

34  29 

20 

30 

41  57 

41  14 

40  30 

39  45 

39  00 

38  14 

37  28 

36  42 

35  54 

35  06 

34  17 

33  27 

30 

40 

40  36 

39  54 

39  12 

38  29 

37  45 

37  oi 

36  16 

35  31 

34  45 

33  59 

33  13 

32  24 

40 

60 

39  14 

3834 

37  53 

37  " 

36  29 

35  47 

3504 

34  21 

33  36 

32  52 

32  07 

31  20 

50 

8     00 

37  50 

37  II 

3631 

35  52 

35  II 

34  31 

33  49 

33  08 

32  25 

31  42 

3058 

30  14 

8    00 

10 

36  26 

3548 

35  II 

34  32 

33  53 

33  14 

32  34 

31  54 

31  14 

30  32 

29  50 

29  09 

10 

20 

35  01 

34  24 

33  47 

33  12 

32  34 

31  56 

31  18 

30  40 

29  59 

29  21 

28  41 

28  00 

20 

30 

33  34 

33  00 

32  24 

31  50 

31  13 

30  38 

30  01 

29  24 

28  47 

28  09 

27  31 

26  52 

30 

40 

32  06 

31  33 

30  59 

30  26 

29  52 

29  17 

2843 

28  08 

27  31 

26  56 

26  19 

25  42 

40  • 

50 

30  38 

30  06 

29  34 

29  02 

28  29 

27  56 

27  23 

26  50 

26  16 

25  41 

25  07 

24  32 

50 

9     00 

29  oS 

28  37 

28  07 

27  37 

27  06 

26  34 

26  04 

25  32 

24  59 

24  27 

23  53 

23  20 

9           00 

10 

27  37 

27  09 

26  39 

26  II 

25  42 

25  12 

24  42 

24  12 

23  41 

23  09 

22  39 

22  08 

10 

20 

26  06 

25  39 

25  12 

24  45 

24  16 

23  48 

23  20 

22  51 

22  22 

21  54 

21  24 

20  55 

20 

30 

24  33 

24  08 

23  42 

23  16 

22  50 

22  24 

21  57 

21  30 

21  03 

20  36 

20  08 

19  40 

30 

40 

22  59 

22  36 

22  II 

21  47 

21  22 

20  58 

20  33 

20  07 

19  42 
18  22 

19  18 

18  51 

18  26 

40 

50 

21  25 

21  03 

20  40 

20  17 

19  55 

19  32 

19  09 

18  46 

1758 

17  34 

17  10 

50 

10     00 

19  50 

19  29 

19  oS 

18  48 

18  26 

18  05 

17  45 

17  22 

17  00 

16  38 

16  16 

15  53 

10   00 

10 

18  13 

17  54 

17  36 

17  16 

16  56 

16  37 

16  17 

15  57 

1538 

15  17 

14  56 

14  36 

10 

20 

16  37 

16  19 

16  02 

15  44 

15  26 

15  09 

14  50 

14  32 

14  15 

13  56 

1338 

13  18 

20  1 

30 

14  59 

14  43 

14  28 

14  12 

13  55 

1340 

II  5D 

13  07 

12  50 

12  34 

12  17 

12  00 

30 

40 

13  21 

13  07 

12  53 

12  39 

12  24 

12  10 

II  42 

II  26 

II  12 

10  56 

10  41 

40 

50 

II  42 

II  30 

II  17 

II  06 

10  52 

10  40 

10  27 

10  14 

10  01 

9  49 

9  36 

9  23 

50 

11     00 

10  03 

9  52 

9  41 

9  31 

9  20 

9  09 

858 

8  47- 

837 

8  26 

8  14 

8  02 

11     00 

10 

823 

8  14 

8  05 

7  57 

748 

7  39 

7  30 

7  20 

7  II 

7  02 

653 

6  42 

10 

20 

6  43 

636 

6  29 

6  22 

615 

6  07 

6  00 

5  53 

5  45 

5  37 

5  31 

5  23 

20 

30 

5  02 

4  57 

4  52 

4  46 

4  41 

4  36 

4  30 

4  25 

4  19 

4  13 

4  07 

4  02 

30  ; 

40 

3  22 

3  18 

3  15 

3  II 

308 

3  04 

3  00 

256 

253 

2  49 

2  45 

2  42 

40  1 

50 

I  41 

I  39 

I  37 

I  36 

I  34 

I  32 

I  30 

I  29 

I  27 

I  25 

I  23 

I  21 

50 

12     00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

• 

0  00 

0  00 

12    00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West." 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  Bast;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


200 


AZIMUTH  OR  TRUE  BEARING. 


liATITCOE:  48°. 

DECLINATION— SAME  NAME  AS- 

-LATITUDE. 

liATITUDE  48°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Honr  Angle. 

]i.    in. 

o  / 

0  t 

0  ' 

•  0  / 

0  / 

0  / 

0  t 

0  / 

0  I 

0  / 

0  / 

li.    ni. 

0     OO 

0  oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

*  5  59 

5  22 

4  50 

4  23 

358 

3  37 

3  17 

3  00 

2  44 

2  30 

2  16 

10 

20 

II  46 

10  34 

9  33 

8  40 

7  51 

7  10 

6  32 

5  57 

526 

458 

4  32 

20 

30 

17  13 

15  31 

14  03 

12  45 

II  37 

10  35 

9  40 

8  50 

8  05 

7  24 

6  45 

30 

40 

22  08 

20  04 

18  15 

16  37 

15  II 

13  53 

12  42 

IJ  37 

10  39 

9  45 

855 

40 

50 

26  33 

24  12 

22  06 

20  13 

18  31 

16  58 

15  33 

14  16 

13  06 

12  00 

II  00 

50 

1     OO 

30  24 

27  53 

25  35 

23  29 

21  36 

19  51 

18  15 

16  47 

15  25 

14  10 

13  00 

1     00 

lO 

33  45 

31  07 

28  41 

26  26 

24  23 

22  29 

20  44 

19  07 

17  37 

16  T3 

14  55 

10 

20 

36  35 

33  55 

31  24 

29  05 

26  55 

24  55 

23  02 

21  17 

19  39 

18  07 

16  42 

20 

30 

39  00 

36  20 

3348 

31  25 

29  II 

27  05 

25  07 

23  17 

21  33 

19  55 

18  23 

30 

40 

41  03 

38  23 

35  51 

33  27 

31  IT 

29  02 

27  00 

25  05 

23  17 

21  J4 

19  56 

40 

50 

42  44 

40  07 

37  37 

35  13 

32  56 

30  46 

28  42 

26  43 

24  51 

23  04 

21  22 

50 

2     OO 

44  08 

41  35 

39  07 

36  45 

34  28 

32  17 

30  12 

28  12 

26  16 

24  27 

22  43 

2     00 

lO 

45  17 

42  48 

40  23 

38  03 

35  47 

33  37 

31  31 

29  30 

27  34 

25  42 

23  55 

10 

20 

46  12 

43  47 

41  26 

39  09 

3656 

34  46 

32  41 

30  40 

28  43 

26  50 

25  00 

20 

30 

46  55 

44  35 

42  18 

40  05 

37  53 

35  46 

33  41 

31  40 

2943 

27  50 

25  59 

30 

40 

47  28 

45  14 

43  01 

40  50 

38  41 

3635 

34  32 

32  33 

33  18 

30  36 

28  43 

26  52 

40 

50 

47  52 

45  42 

43  33 

41  26 

39  21 

37  18 

35  17 

31  22 

29  29 

27  37 

50 

3     OO 

48  09 

46  03 

4358 

41  54 

39  53 

37  52 

35  53 

33  56 

32  01 

30  09 

28  18 

3     00 

10 

48  18 

46  17 

44  16 

42  17 

40  18 

38  20 

36  23 

34  28 

32  34 

30  43 

2853 

10 

20 

48  21 

46  24 

44  27 

42  31 

40  35 

38  40 

36  46 

34  54 

33  02 

31  12 

29  23 

20 

30 

48  18 

46  36 

44  33 

42  40 

40  47 

3855 

37  04 

35  13 

33  24 

31  35 

29  47 

30 

40 

48  II 

46  22 

44  33 

42  43 

40  54 

39  05 

37  16 

35  27 

33  40 

31  53 

30  07 

40  i 

50 

47  59 

46  13 

44  29 

42  42 

40  56 

39  09 

37  23 

35  37 

33  52 

32  06 

30  22 

50 

4     OO 

47  43 

46  01 

44  20 

42  36 

40  53 

39  10 

37  26 

35  43 

33  59 

32  16 

30  33 

4     00 

lO 

47  23 

45  46 

44  06 

42  26 

40  46 

39  05 

37  24 

35  43 

34  03 

32  22 

30  41 

10 

20 

47  00 

45  25 

43  49 

42  13 

-  40  36 

38  57 

37  19 

35  40 

34  02 

32  23 

30  43 

20 

30 

46  34 

45  02 

43  30 

41  55 

40  21 

38  46 

37  10 

35  35 

33  58 

32  21 

30  43 

30 

40 

46  05 

44  36 

43  06 

41  35 

40  03 

38  31 

3658 

35  24 

33  50 

32  15 

30  40 

40 

50 

45  33 

44  07 

42  40 

41  12 

39  43 

38  13 

36  42 

35  II 

33  39 

32  07 

30  33 

50 

5     00 

44  58 

43  35 

42  10 

40  45 

39  19 

37  52 

36  24 

34  55 

33  25 

31  55 

30  24 

5     00 

lO 

44  21 

43  01 

41  39 

40  17 

38  53 

37  28 

36  03 

34  36 

33  09 

31  41 

30  II 

10 

20 

43  43 

42  24 

41  05 

39  45 

38  24 

37  02 

35  38 

34  14 

32  49 

31  24 

29  56 

20 

30 

43  02 

41  46 

40  29 

39  12 

37  52 

36  32 

55  11 

33  50 

32  28 

31  04 

29  39 

30 

40 

42  19 

41  05 

39  51 

38  35 

37  18 

36  01 

34  43 

53  23 

32  03 

30  42 

29  19 

40 

50 

41  34 

40  22 

39  II 

37  58 

36  44 

35  28 

34  12 

32  54 

31  36 

30  17 

28  56 

50 

6     OO 

40  47 

39  38 

3828 

37  17 

36  05 

34  53 

33  39 

32  23 

31  07 

29  50 

28  32 

6     00 

lO 

3958 

38  52 

37  45 

3636 

35  26 

34  14 

33  03 

31  51 

30  37 

29  21 

28  00 

10 

20 

39  09 

38  04 

36  59 

35  52 

34  44 

33  36 

32  26 

31  16 

30  04 

28  52 

27  38 

20 

30 

38  17 

37  15 

36  II 

35  06 

34  01 

32  55 

31  47 

30  39 

29  30 

28  19 

27  07 

30 

40 

37  24 

36  24 

35  22 

34  19 

33  16 

32  12 

31  06 

30  01 

28  53 

27  44 

26  35 

40 

50 

36  30 

35  30 

34  31 

33  31 

32  30 

31  27 

30  24 

29  20 

28  15 

27  09 

26  01 

50 

7     OO 

35  34 

34  37 

33  39 

32  41 

31  42 

30  41 

29  40 

2838 

27  36 

26  31 

25  26 

7     00 

10 

34  35 

33  41 

32  46 

31  50 

30  53 

29  55 

28  55 

27  55 

26  54 

25  52 

24  51 

10 

20 

33  37 

32  45 

31  51 

30  57 

30  01 

29  05 

28  08 

27  II 

26  12 

25  12 

24  10 

20 

30 

32  37 

31  47 

30  55 

30  C3 

29  10 

28  15 

27  20 

26  24 

25  28 

24  30 

23  31 

30 

40 

31  36 

30  47 

29  57 

29  07 

28  15 

27  23 

26  31 

25  37 

24  42 

23  46 

22  50 

40 

50 

30  33 

29  46 

28  59 

28  10 

27  21 

26  31 

25  40 

24  48 

23  56 

23  02 

22  08 

50 

8     OO 

29  30 

28  45 

27  58 

27  12 

26  24 

25  37 

24  48 

23  59 

23  09 
22  18 

22  16 

21  24 

8     00 
10 

lO 

28  26 

27  42 

26  58 

26  14 

25  27 

24  41 

23  55 

23  07 

21  29 

20  39 

20 

27  20 

26  38 

25  56 

25  14 

24  30 

23  46 

23  00 

22  15 

21  29 

20  42 

19  53 

20 
30 
40 
50 

30 

26  12 

25  33 

24  53 

24  12 

23  30 

22  48 

22  05 

21  21 

20  37 

19  52 

19  06 

.  40 

25  05 

24  27 

23  48 

23  10 

22  30 

21  50 

21  08 

20  27 

19  45 

19  02 

18  18 

50 

23  57 

23  20 

22  44 

22  06 

21  29 

20  51 

20  12 

19  32 

18  52 

18  10 

17  28 

9     OO 

22  46 

22  12 

21  37 

21  02 

20  26 

19  50 

19  13 

1836 

17  57 

17  19 

16  39 

9     00 

lO 

21  35 

21  03 

20  31 

19  57 

19  23 

18  49 

18  15 

1738 

17  02 

16  26 

1548 

10 
20 
30 
40 
50 

20 

20  24 

19  53 

19  23 

18  51 

18  19 

17  47 

17  14 

16  41 

16  07 

15  32 

14  57 

30 

19  12 

18  43 

18  14 

17  45 

17  14 

16  44 

16  13 

15  42 

15  10 

14  38 

14  04 

40 

17  58 

17  32 

17  05 

16  37 

16  09 

15  40 

15  12 

14  42 

14  13 

13  43 

13  11 

50 

16  45 

16  20 

15  54 

15  28 

15  03 

14  36 

14  10 

13  42 

13  15 

12  47 

12  17 

lO     OO 

15  30 

15  37 

14  43 

14  20 

13  56 

13  32 

13  07 

12  42 

12  16 

II  50 

II  23 

10     00 
10 

lO 

14  14 

13  54 

13  32 

13  10 

12  49 

12  26 

12  03 

II  40 

II  17 

10  52 

10  28 

20 

12  59 

12  39 

12  20 

12  01 

II  40 

II  20 

10  59 

10  38 

10  17 

956 

9  33 

20 

30 

11  42 

II  26 

II  08 

10  50 

10  32 

10  14 

9  55 

9  36 

9  17 

8  57 

8  37 

30 
40 
50 

40 

ID  26 

10  II 

9  55 

9  40 

9  23 

9  07 

8  50 

833 

8  16 

7  59 

741 

50 

9  09 

855 

8  42 

827 

8  13 

7  59 

7  44 

7  30 

7  15 

7  00 

6  44 

11     OO 

7  51 

7  40 

728 

■  7  16 

7  03 

651 

6  39 

6  26 

6  14 

6  00 

5  46 

11     00 
10 
20 
30 
40 
60 

lO 

633 

6  24 

6  14 

6  03 

5  53 

5  43 

5  33 

5  22 

5  12 

5  01 

4  50 

20 

5  14 

5  07 

4  59 

4  52 

4  43 

4  34 

4  27 

4  19 

4  10 

4  01 

3  51 

30 

356 

3  50 

3  44 

338 

3  32 

3  27 

3  20 

3  14 

3  07 

3  00 

2  54 

40 

2  37 

2  33 

2  30 

2  26 

2  22 

2  18 

2  14 

2  09 

2  05 

2  00 

I  56 

50 

I  19 

I  17 

I  15 

I  13 

I  II 

I  09 

I  07 

I  05 

I  02 

I  00 

0  58 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


201 


AZIMUTH    OR    TRUE    BEARING. 


I^ATITUDK  49°. 

DECUNATION- 

SAME  NAME  A&— LATITUDE. 

liATITUDE  49°. 

Hour  Angle. 

24° 

250 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

340 

35° 

Hour  Ansle. 

Ii. 

m. 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  1 

0  / 

0  / 

0  1 

0  t 

0  1 

li.    m. 

O 

OO 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0     00 

lO 

174  36 

174  26 

174  15 

174  04 

173  51 

173  37 

173  22 

173  OS 

172  47 

172  25 

172  02 

171  34 

10 

20 

169  16 

16857 

168  36 

168  13 

167  48 

167  21 

166  51 

166  18 

165  42 

165  02 

164  i6 

163  25 

20 

30 

164  02 

163  33 

163  03 

162  30 

161  54 

161  15 

160  33 

159  45 

158  54 

157  57 

156  53 

155  41 

30 

40 

158  57 

158  21 

157  41 

157  00 

156  14 

155  25 

154  31 

153  32 

152  29 

151  18 

149  59 

148  32 

40 

50 

154  03 

153  20 

152  33 

151  44 

150  51 

149  53 

148  51 

147  42 

146  29 

145  09 

143  40 

142  03 

50 

1 

OO 

149  21 

148  33 

147  40 

146  45 

145  45 

144  42 

143  32 

142  17 

140  58 

139  30 

137  54 

136  II 

1     00 

lO 

144  53 

144  00 

143  03 

142  03 

140  58 

139  49 

13836 

137  16 

135  52 

134  20 

132  41 

130  54 

.  10 

20 

140  39 

139  43 

138  42 

137  37 

136  30 

135  15 

134  01 

132  38 

131  12 

129  37 

127  57 

126  08 

20 

30 

136  37 

135  38 

134  35 

133  29 

132  19 

131  04 

129  46 

128  22 

126  53 

125  20 

123  39 

121  52 

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53  37 

53  01 

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51  48 

51  12 

50  36 

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53  35 

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52  25 

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51  14 

50  39 

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18  19 

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16  19 

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16  33 

16  21 

16  08 

15  55 

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15  31 

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15  07 

14  55 

14  43 

1430 

14  19 

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13  52 

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13  30 

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12  58 

12  48 

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II  17 

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10  58 

10  50 

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20 

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9  24 

9  17 

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8  48 

8  40 

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827 

8  20 

8  13 

20 

30 

7  09 

7  04 

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653 

6  48 

6  41 

636 

631 

6  26 

6  21 

6  15 

6  10 

30 

40 

4  46 

4  43 

4  39 

4  35 

4  32 

4  29 

4  25 

4  21 

4  17 

4  14 

4  10 

4  07 

40 

SO 

2  23 

2  22 

2  20 

2  18 

2  16 

2  14 

2  12 

2  10 

2  09 

2  07 

2  05 

2  03 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


202 


AZIMUTH    OR  TRUE    BEARING. 


LATITUDE  49°. 

DECLINATION- 

SAME  NAME  AS— LATITUDE. 

LATITUDE  49°. 

Hour  An 

gle. 

36° 

37° 

38° 

3»° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

1 
Hour  Angle. 

h. 

m. 

0   / 

0  / 

0  / 

0  / 

0  1 

0  / 

0  1 

0  / 

0  /  ' 

0  ' 

0  ' 

0  / 

li.    ni. 

O 

OO 

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180  00 

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180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

10 

171  04 

170  28 

169  45 

168  55 

167  54 

166  39 

165  02 

162  57 

160  06 

155  59  ; 

149  42 

139  09 

10 

20 

162  26 

161  19 

159  59 

15826 

156  36 

154  22 

151  35 

148  06 

143  37 

137  42 

129  44 

119  00 

20 

30 

154  20 

152  48 

151  01. 

148  58 

146  35 

143  44 

140  21 

136  17 

131  19 

125  14 

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30 

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146  56 

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140  40 

137  59 

134  53 

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122  17 

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102  53 

40 

50 

140  14 

138  14 

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127  34 

124  01 

120  00 

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no  26  1 

104  52 

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83  55 

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: 

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52  11 

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43  01 

42  25 

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40  34 

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39  20 

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8     00 
10 

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43  43 

43  09 

42  35 

41  59 

41  25 

40  50 

40  15 

39  39 

39  04 

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37  52 

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41  27 

40  .54 

40  21 

39  48 

39  14 

38  41 

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37  32 

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36  22 

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20 

30 

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38  41 

38  09 

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37  05 

36  32 

3558 

35  26 

34  53 

34  18 

30 
40 

40 

38  33 

38  02 

37  32 

37  00 

36  29 

3558 

35  28 

3456 

34  25 

33  53 

33  21 

3248 

50 

36  47 

36  17 

3548 

35  18 

34  48 

34  19 

33  50 

33  19 

32  49 

32  18 

31  49 

31  16 

50 

9 

OO 

34  59 

34  31 

34  03 

33  34 

33  06 

32  38 

32  10 

31  41 

31  12 

30  44 

30  15 

29  45 

9     00 

10 

33  II 

32  44 

32  18 

31  51 

31  24 

30  57 

30  29 

30  02 

29  35 

29  07 

28  40 

28  12 

10 

20 

31  22 

30  56 

30  31 

30  05 

29  40 

29  14 

28  49 

28  22 

27  56 

27  31 

27  04 

26  37 

20 

SO 

29  5I 

29  07 

28  43 

28  18 

27  54 

27  30 

27  07 

26  42 

26  17 

25  53 

25  28 

25  03 

30 

40 

2738 

27  17 

26  54 

26  31 

26  08 

25  46 

25  23 

24  59 

24  37 

24  13 

23  51 

23  27 

40 
SO 

50 

25  46 

25  25 

25  03 

24  42 

24  21 

24  00 

23  39 

23  18 

22  55 

22  34 

22  13 

21  51 

lO 

OO 

23  52 

23  33 

23  13 

22  53 

22  33 

22  13 

21  54 

21  33 

21  13 

20  54 

20  34 

20  13 

10   00 

lO 

21  56 

21  38 

21  20 

21  02 

20  44 

20  26 

20  07 

19  49 

19  31 

19  12 

18  54 

18  35 

10 

20 

20  01 

19  44 

19  28 

19  10 

18  54 

18  37 

18  20 

18  03 

17  47 

17  30 

17  14 

16  57 

20 

30 

18  03 

17  49 

17  33 

17  18 

17  03 

16  47 

16  33 

16  18 

16  02 

15  47 

15  33 

15  17 

30 

40 

16  05 

15  52 

15  38 

15  24 

15  12 

1458 

14  45 

14  31 

14  17 

14  04 

13  51 

1337 

40 

SO 

14  06 

13  55 

13  43 

13  31 

13  19 

13  08 

12  55 

12  44 

12  31 

12  20 

12  08 

II  56 

SO 

11 

OO 

12  07 

II  57 

II  47 

II  36 

II  26 

II  16 

II  05 

10  55 

10  46 

10  35 

10  25 

10  15 

11     00 

10 

10  07 

958 

9  50 

9  41 

9  32 

9  24 

9  16 

9  08 

859 

850 

8  42 

833 

10 

20 

8  06 

7  59 

7  53 

7  45 

7  39 

7  32 

7  25 

7  19 

7  II 

7  05 

6  58 

6  51 

20 

30 

6  05 

6  00 

5  55 

5  49 

5  45 

5  39 

5  34 

5  29 

5  23 

5  18 

5  14 

5  08 

30 

40 

4  03 

4  00 

3  57 

3  53 

3  50 

3  46 

3  43 

3  39 

336 

3  33 

3  29 

3  26 

40 

SO 

2  01 

2  00 

I  58 

I  57 

I  55 

I  53 

I  52 

I  50 

I  48 

I  47 

I  45 

I  43 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


203 


AZIMUTH  OR  TRUE  BEARING. 


I-ATITIDE  49°. 

DECLINATION- 

-SAME 

NAME 

AS— LATITUDE. 

liATlTUDE  49°. 

Hour  An 

gle. 

48° 

49° 

50° 

51° 

52° 

530 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle* 

li. 

111. 

o  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  ' 

li«    ni.  1 

O 

OO 

i8o  OO 

0  00 

0  QO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00  1 

10 

120  lO 

89  03 

5726 

37  49 

26  58 

20  31 

16  19 

13  24 

II  16 

9  40 

8  24 

7  21 

10 

20 

104  55 

88  07 

71  00 

56  12 

44  46 

36  16 

29  57 

25  13 

21  32 

18  39 

16  18 

14  22 

20 

30 

98  33 

87  10 

75  34 

64  38 

54  58 

46  51 

40  09 

34  40 

30  11 

26  29 

23  24 

20  48 

30 

40 

94  48 

86  13 

77  28 

68  56 

60  57 

53  44 

47  23 

41  52 

37  07 

33  03 

29  32 

26  29 

40 

50 

92  10 

85  16 

78  14 

71  17 

64  34 

58  17 

52  29 

47  15 

42  33 

38  22 

34  39 

31  22 

50 

1 

OO 

90  05 

84  20 

78  28 

72  35 

6650 

61  18 

56  05 

51  13 

46  44 

42  37 

3853 

35  30 

1     00 

lO 

88  18 

83  22 

78  21 

73  16 

68  16 

63  21 

58  39 

54  10 

49  56 

45  59 

42  20 

3856 

10 

20 

8645 

82  25 

78  01 

73  33 

69  07 

64  45 

60  27 

56  20 

52  23 

48  39 

45  06 

41  47 

20 

30 

85  19 

81  28 

77  32 

73  34 

69  35 

65  37 

61  45 

57  57 

54  16 

50  43 

47  20 

44  07 

30 

40 

8358 

80  30 

7658 

73  22 

6946 

66  II 

62  37 

59  06 

55  40 

52  20 

49  07 

46  01 

40 

50 

82  42 

79  32 

76  19 

73  03 

69  45 

66  28 

63  10 

59  54 

56  43 

53  34 

50  30 

47  33 

50 

2 

OO 

81  28 

7834 

75  37 

72  37 

69  35 

6633 

63  30 

60  28 

57  28 

54  30 

51  36 

48  46 

2    00 

lO 

80  16 

77  36 

74  52 

72  06 

69  17 

66  28 

63  37 

60  47 

57  58 

55  II 

52  25 

49  43 

10 

20 

79  07 

76  37 

74  05 

71  30 

6854 

66  15 

63  36 

60  57 

58  17 

55  39 

53  02 

50  27 

20 

30 

77  57 

75  38 

73  16 

70  51 

68  24 

6556 

63  24 

60  56 

5f  ^^ 

55  57 

53  23 

50  59 

30 

40 

76  49 

74  38 

72  25 

70  09 

67  51 

65  32 

63  II 

bo  50 

58  28 

56  05 

53  44 

51  22 

40 

50 

75  42 

73  39 

71  33 

69  24 

67  16 

65  03 

62  51 

60  37 

58  21 

56  06 

53  51 

51  36 

50 

3 

OO 

74  35 

7238 

70  40 

6838 

6636 

64  31 

62  26 

60  18 

58  10 

56  01 

53  52 

51  42 

3     00 

lO  • 

73  28 

71  38 

69  45 

67  50 

65  53 

63  55 

61  56 

59  55 

57  53 

55  51 

53  47 

51  43 

10 

20 

72  22 

70  37 

68  50 

67  00 

65  09 

63  17 

61  23 

59  28 

57  32 

55  35 

53  36 

51  37 

20 

30 

71  16 

69  35 

67  53 

66  09 

64  24 

62  36 

60  48 

5857 

57  06 

55  14 

53  21 

51  26 

30 

40 

70  09 

68  33 

6655 

65  16 

6336 

61  53 

60  09 

58  24 

56  37 

54  50 

53  01 

51  II 

40 

50 

69  03 

67  30 

65  57 

64  22 

62  46 

61  08 

59  28 

57  47 

56  04 

54  21 

52  37 

50  52 

50 

4 

OO 

^J  55 

66  27 

6458 

63  26 

61  54 

60  20 

58  45 

5708 

55  30 

53  51 

52  10 

50  29 

4    00 

10 

66  48 

65  23 

6358 

62  27 

61  01 

59  31 

58  00 

56  26 

54  52 

53  16 

51  40 

50  02 

lO 

20 

65  40 

64  19 

62  57 

61  33 

60  07 

58  41 

57  12 

55  43 

54  II 

52  40 

51  07 

49  32 

20 

30 

64  33 

63  14 

61  55 

60  33 

59  12 

5748 

56  23 

54  57 

53  29 

52  01 

50  31 

49  00 

30 

40 

6325 

62  09 

60  52 

59  34 

58  15 

56  54 

55  33 

54  10 

52  45 

51  20 

49  53 

4825 

40 

50 

62  16 

61  03 

59  49 

58  33 

57  17 

55  59 

■  54  40 

53  25 

51  59 

50  36 

49  13 

47  48 

50 

5 

OO 

61  06 

59  55 

58  44 

57  30 

56  18 

55  02 

53  47 

52  29 

51  10 

49  51 

48  30 

'f?^ 

5     00 

lO 

59  55 

5848 

57  39 

56  29 

55  17 

5405 

52  52 

51  36 

50  21 

49  04 

47  45 

46  26 

10 

20 

58  45 

57  40 

56  33 

55  25 

54  16 

53  05 

51  54 

50  43 

49  29 

48  15 

46  59 

45  42 

20 

30 

57  34 

56  30 

55  25 

54  20 

53  14 

52  05 

50  57 

49  47 

48  36 

47  24 

46  II 

44  56 

30 

40 

56  21 

55  20 

54  18 

53  13 

52  10 

51  03 

49  58 

48  50 

47  41 

46  32 

45  21 

44  09 

40 

50 

55  09 

54  09 

53  09 

52  07 

51  05 

50  01 

48  57 

47  51 

46  45 

45  38 

44  29 

43  20 

50 

6 

OO 

53  55 

52  57 

51  59 

50  59 

49  59 

48  58 

47  55 

46  52 

45  47 

44  42 

43  36 

42  29 

6     00 

lO 

52  41 

51  45 

50  48 

49  50 

48  52 

47  53 

46  52 

45  51 

44  49 

43  45 

42  42 

41  36 

10 

20 

51  26 

50  32 

49  37 

48  40 

47  44 

46  46 

45  48 

44  49 

43  49 

42  48 

41  45 

40  43 

20 

30 

50  10 

49  17 
48  02 

48  24 

47  29 

46  35 

45  39 

44  43 

43  45 

42  47 

41  49 

40  4S 

39  47 

30 

40 

4853 

47  10 

46  18 

45  24 

44  31 

43  36 

42  41 

41  44 

40  48 

39  50 

3850 

40 

50 

47  35 

46  46 

45  56 

45  05 

44  13 

43  21 

42  29 

41  35 

40  41 

39  45 

3849 

37  52 

50 

7 

OO 

46  17 

45  28 

44  41 

43  51 

43  01 

42  II 

41  20 

40  28 

39  35 

38  42 

37  48 

36  52 

T    00 

lO 

44  56 

44  10 

43  24 

42  36 

41  48 

40  59 

40  10 

39  20 

38  29 

3738 

3646 

35  52 

10 

20 

43  36 

42  51 

42  06 

41  20 

40  34 

39  47 

38  59 

38  II 

37  21 

36  32 

35  41 

34  50 

20 

30 

42  14 

41  31 

40  48 

40  03 

39  18 

3833 

37  47 

37  01 

36  13 

35  25 

34  37 

33  46 

30 

40 

40  52 

40  ID 

39  29 

3845 

38  02 

37  18 

36  35 

35  49 

35  04 

34  18 

33  31 

32  43 

40 

50 

3928 

38  48 

3809 

37  27 

36  45 

36  02 

35  20 

34  37 

33  53 

33  09 

32  23 

31  37 

50 

8 

OO 

38  0^ 

37  25 

36  47 

36  06 

35  26 

34  45 

34  05 

33  22 

32  40 

31  58 

31  15 

3030 

8     00 

lO 

3638 

36  01 

35  24 

34  45 

34  07 

33  27 

32  49 

32  09 

31  28 

30  47 

30  06 

2922 

10 

20 

35  12 

34  36 

34  00 

33  23 

32  46 

32  09 

31  31 

30  53 

30  14 

29  35 

28  55 

28  14 

20 

30 

33  45 

33  10 

32  35 

32 'OO 

31  25 

30  49 

30  13 

2936 

28  59 

28  22 

27  44 

27  05 

30 

40 

32  15 

31  43 

31  10 

30  36 

30  03 

29  28 

28  54 

28  19 

27  43 

27  07 

26  32 

25  55 

40 

50 

30  46 

30  15 

29  44 

29  II 

2839 

28  06 

27  34 

27  00 

2b  27 

25  53 

25  18 

24  43 

50 

9 

OO 

29  15 

28  45 

28  16 

27  45 

27  14 

26  43 

26  12 

25  41 

25  09 

24  36 

24  03 

23  30 

9     00 

lO 

27  44 

27  16 

26  47 

26  18 

25  49 

25  20 

24  50 

24  20 

23  50 

23  19 

22  47 

22  17 

10 

20 

26  12 

25  45 

25  18 

24  50 

24  24 

23  56 

23  28 

22  59 

22  31 

22  02 

21  33 

21  03 

20 

SO 

2438 

24  13 

23  48 

23  22 

22  57 

22  29 

22  04 

21  39 

21  II 

20  44 

20  16 

19  48 

30 

40 

23  04 

22  40 

22  17 

21  53 

21  28 

21  04 

20  40 

2»  15 

19  49 

19  24 

1858 

18  32 

40 

50 

21  29 

21  07 

20  45 

20  23 

19  59 

19  37 

19  15 

18  51 

18  28 

18  04' 

17  40 

17  15 

50 

lO 

OO 

'2  53 

19  33 

19  13 

18  51 

18  31 

18  10 

17  48 

17  28 

17  06 

16  43 

16  22 

15  59 

10   00 

. 

10 

18  16 

17  58 

17  39 

17  20 

17  00 

16  41 

16  22 

16  03 

15  43 

15  23 

15  02 

14  41 

10 

20 

16  39 

16  22 

16  05 

15  47 

15  31 

15  13 

14  55 

14  37 

14  19 

14  01 

13  43 

13  23 

20 

30 

15  01 

14  46 

14  31 

14  14 

13  59 

13  43 

13  27 

13  II 

12  54 

12  38 

12  22 

12  05 

30 

40 

13  23 

13  09 

12  55 

12  41 

12  27 

12  12 

II  59 

II  44 

II  29 

II  15 

II  00 

10  45 

40 

50 

II  44 

II  32 

II  20 

n  07 

10  55 

10  43 

10  30 

10  17 

10  05 

9  51 

938 

9  26 

50 

11 

OO 

10  04 

9  54 

9  43 

9  33 

9  22 

9  12 

9  01 

8  50 

838 

827 

8  16 

8  05 

11     00 

lO 

8  24 

8  15 

8  07 

758 

7  50 

7  41 

7  32 

7  22 

7  13 

7  03 

654 

6  45 

10 

20 

6  44 

637 

6  30 

623 

6  16 

6  08 

6  01 

5  54 

5  47 

5  39 

5  32 

526 

30 

30 

5  03 

458 

4  53 

4  47 

4  42 

4  36 

4  31 

4  26 

4  21 

4  15 

4  09 

4  04 

30 

40 

3  22 

3  19 

3  15 

3  12 

308 

3  05 

3  OI 

2  57 

2  54 

2  50 

246 

243 

40 

50 

I  41 

1  39 

I  37 

I  36 

I  34 

I  32 

I  31 

I  29 

I  27 

I  25 

I  23 

I  21 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  iNorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  .star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


204 


AZIMUTH  OR  TRUE  BEARING. 


latitude:  49^. 

DECLINATION— SAME  NAME  AS- 

-LATITUDE. 

LATITUDE  49°. 

Hour  Angle. 

600 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b.    in. 

O  1 

0  / 

0  1 

0  / 

0  ' 

0  1 

0  / 

0  / 

0  r 

0  / 

0  / 

li.    m. 

O     OO 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

631 

5  48 

5  12 

4  40 

4  13 

3  49 

3  28 

3  10 

2  52 

2  37 

2  23 

10 

90 

12  46 

II  24 

10  17 

9  15 

8  22 

7  35 

6  53 

6  16 

§42 

5  13 

4  45 

20 

30 

18  35 

16  42 

15  02 

13  36 

12  20 

II  14 

10  12 

9  18 

8  28 

7  44 

7  04 

30 

40 

23  50 

21  32 

19  29 

17  42 

16  05 

14  40 

13  23 

12  13 

II  09 

10  12 

9  19 

40 

50 

28  27 

25  51 

23  32 

21  27 

19  35 

17  54 

16  22 

14  59 

13  42 

12  33 

II  29 

50 

1     OO 

32  26 

29  40 

27  08 

24  52 

22  47 

20  53 

19  09 

17  35 

16  07 

14  48 

13  33 

1    00 

lO 

35  50 

32  57 

30  19 

27  54 

25  41 

2338 

21  45 

20  00 

18  24 

16  54 

15  31 

10 

20 

38  42 

35  48 

33  06 

30  36 

28  16 

26  06 

24  06 

22  14 

20  30 

18  53 

17  22 

20 

30 

41  05 

38  13 

35  30 

32  58 

30  34 

28  20 

26  14 

24  17 

22  26 

20  43 

19  06 

30 

40 

43  03 

40  14 

37  33 

35  00 

32  35 

30  19 

28  10 

26  08 

24  13 

22  25 

20  42 

40 

50 

44  41 

41  55 

39  17 

36  46 

34  21 

32  03 

29  52 

2747 

25  49 

23  57 

22  II 

50  J 

2     OO 

46  00 

43  20 

40  45 

38  16 

35  52 

33  34 

31  23 

29  17 

27  16 

25  20 

23  31 

2     00 

lO 

47  04 

44  29 

41  58 

39  32 

37  II 

34  53 

32  42 

30  35 

2833 

26  36 

2444 

10 

20 

47  54 

45  24 

42  58 

40  36 

38  17 

36  01 

33  51 

31  44 

29  42 

27  44 

25  50 

20 

30 

48  35 

46  09 

43  48 

41  28 

39  12 

37  00 

34  50 

32  44 

30  43 

28  43 

26  50 

30 

40 

49  02 

46  43 

44  26 

42  10 

39  58 

3748 

35  41 

33  37 

31  35 

29  36 

27  42 

40 

SO 

49  21 

47  08 

44  5* 

42  44 

40  35 

3827 

36  22 

34  20 

32  20 

30  22 

28  28 

50 

3     OO 

49  33 

47  25 

45  18 

43  10 

41  05 

39  00 

36  57 

34  57 

3258 

31  02 

29  08 

3     00 

lO 

49  39 

47  34 

45  31 

43  28 

41  26 

39  25 

37  25 

35  27 

33  30 

31  35 

29  42 

10 

20 

49  38 

4738 

45  39 

43  40 

41  41 

39  44 

37  47 

35  51 

33  56 

32  03 

30  II 

20 

30 

49  32 

47  36 

45  41 

43  47 

41  51 

39  56 

38  02 

36  09 

34  16 

32  24 

30  35 

30 

40 

49  21 

47  30 

45  39 

43  47 

41  55 

40  04 

38  13 

36  22 

34  31 

32  41 

30  54 

40 

50 

49  05 

47  19 

45  31 

43  43 

41  55 

40  06 

38  18 

36  30 

34  41, 

32  53 

31  08 

60 

4     OO 

48  46 

47  03 

45  19 

43  34 

41  49 

40  04 

38  18 

36  33 

34  48 

33  02 

31  17 

4     00 

lO 

48  23 

46  43 

45  03 

43  22 

41  41 

3958 

38  15 

36  33 

34  49 

33  06 

31  24 

10 

20 

4758 

46  21 

44  44 

43  06 

41  27 

39  48 

3808 

36  27 

34  47 

33  05 

31  26 

20 

30 

47  28 

45  55 

44  21 

42  46 

41  II 

39  34 

37  57 

36  20 

34  41 

33  02 

31  24 

30 

40 

46  56 

45  27 

43  55 

42  24 

40  51 

39  17 

37  43 

36  07 

34  32 

32  56 

31  19 

40 

50 

46  22 

44  55 

43  27 

41  58 

40  28 

38^57 

37  25 

35  53 

34  20 

32  46 

31  12 

50 

5     OO 

45  45 

44  20 

42  55 

41  30 

40  02 

38  34 

37  05 

35  35 

34  04 

32  33 

31  00 

5     00 

lO 

45  06 

43  45 

42  22 

40  59 

39  34 

38  08 

36  42 

35  14 

33  46 

32  17 

30  47 

10 

20 

44  24 

43  06 

41  46 

40  25 

39  03 

37  40 

36  16 

34  51 

33  24 

31  58 

30  31 

20 

30 

43  42 

42  25 

41  08 

39  50 

38  30 

37  09 

3548 

34  25 

33  02 

31  37 

30  12 

30 

40 

42  56 

41  42 

40  28 

39  II 

37  55 

3636 

35  17 

33  57 

32  36 

31  13 

29  50 

40 

oO 

42  09 

4058 

39  45 

38  32 

37  17 

36  01 

34  45 

33  27 

32  07 

30  48 

29  27 

50 

6     OO 

41  21 

40  II 

39  02 

37  50 

3638 

35  24 

34  10 

32  54 

31  37 

30  20 

29  01 

6     00 

lO 

40  30 

39  23 

38  15 

37  07 

35  57 

34  45 

33  33 

32  19 

31  06 

29  50 

28  34 

10 

20 

39  39 

38  34 

37  28 

36  21 

35  14 

34  05 

32  55 

31  44 

30  31 

29  19 

28  04 

20 

30 

38  46 

37  43 

36  39 

35  35 

34  29 

33  22 

32  14 

31  05 

29  55 

28  44 

27  33 

30 

40 

37  51 

36  50 

35  49 

34  46 

33  43 

3238 

31  32 

30  26 

^'? 

28  09 

27  00 

40 

50 

36  55 

35  56 

34  56 

33  57 

32  55 

31  52 

30  49 

29  44 

28  38 

27  32 

26  25 

50 

7     OO 

35  57 

35  00 

34  03 

33  05 

32  06 

31  05 

30  04 

29  01 

27  58 

26  54 

2549 

7     00 

lO 

3458 

34  03 

33  08 

32  12 

31  15 

30  16 

29  17 

28  17 

27  16 

26  14 

25  10 

10 

20 

33  58 

33  06 

32  12 

31  17 

30  23 

29  26 

28  29 

27  31 

26  32 

25  32 

24  31 

20 

30 

32  57 

32  06 

31  15 

30  23 

29  29 

28  35 

27  40 

26  43 

25  47 

24  49 

23  51 

30 

40 

31  55 

31  06 

30  17 

29  26 

28  35 

27  42 

26  50 

25  56 

25  00 

24  05 

23  08 

40 

50 

30  52 

30  05 

29  16 

28  28 

27  39 

26  49 

25  57 

25  06 

24  13 

23  19 

22  25 

50 

8     OO 

2946 

29  01 

28  15 

27  29 

26  42 

25  53 

25  05 

24  15 

23  24 

22  32 

21  41 

8     00 

lO 

28  40 

27  58 

27  13 

26  29 

25  43 

24  57 

24  10 

23  23 

22  34 

21  45 

20  54 

10 

20 

27  34 

26  52 

26  II 

25  28 

24  44 

24  00 

23  15 

22  30 

21  43 

20  56 

20  08 

20 

30 

26  26 

25  46 

25  07 

24  26 

23  44 

23  02 

22  19 

21  35 

20  51 

20  05 

19  20 

30 

40 

25  17 

24  40 

24  02 

23  23 

22  43 

22  02 

21  21 

20  40 

19  57 

19  15 

18  31 

40 

50 

24  08 

23  32 

22  55 

22  18 

21  41 

21  02 

20  24 

10  44 

19  04 

18  23 

17  41 

50 

9     OO 

22  57 

22  23 

21  48 

21  14 

20  37 

20  01 

19  24 

18  47 

18  09 

17  30 

16  51 

9     00 

lO 

21  46 

21  13 

20  40 

20  07 

19  34 

18  59 

18  25 

17  49 

17  13 

16  36 

15  59 

10 

20 

20  34 

20  02 

19  32 

19  01 

18  29 

17  57 

17  24 

16  50 

16  16 

15  42 

15  07 

20 

30 

19  20 

18  52 

18  22 

17  53 

17  34 

16  54 

16  23 

15  51 

15  19 

14  46 

14  14 

30 

40 

18  c6 

17  40 

17  12 

16  45 

•16  17 

15  49 

15  20 

14  51 

14  2[ 

13  51 

13  20 

40 

50 

16  52 

16  27 

16  02 

15  36 

15  II 

14  43 

14  17 

13  50 

13  22 

12  54 

12  26 

50 

lO     OO 

15  36 

15  13 

14  50 

14  26 

14  02 

13  39 

13  14 

12  49 

12  23 

II  57 

II  30 

10   00 

lO 

14  20 

14  00 

13  38 

13  17 

12  54 
II  46 

12  32 

12  10 

II  46 

u  23 

10  59 

10  35 

10 

20 

13  04 

12  45 

12  26 

12  06 

II  25 

II  05 

10  44 

10  23 

10  01 

9  39 

20 

30 

II  47 

II  30 

II  12 

10  55 

10  36 

ID  18 

10  00 

9  41 

9  21 

9  02 

842 

30 

40 

10  30 

10  15 

9  59 

9  43 

9  27 

9  II 

8  54 

8  37 

8  21 

8  03 

I'^t 

40 

50 

9  II 

859 

8  45 

8  32 

8  17 

8  03 

7  49 

7  34 

7  19 

7  04 

6  48 

50 

11     OO 

7  54 

7  42 

7  30 

7  18 

7  07 

655 

6  43 

6  29 

6  16 

6  04 

5  51 

11     00 

lO 

6  36 

625 

6  15 

6  06 

556 

5  46 

5  35 

5  25 

5  14 

5  03 

4  52 

10 

20 

5  16 

5  09 

5  01 

4  53 

4  45 

4  37 

4  29 

4  20 

4  12 

4  03 

iP 

20 
30 
40 

30 

358 

3  52 

3  46 

3  40 

3  33 

328 

3  22 

3  15 

3  09 

3  02 

40 

238 

2  35 

2  31 

2  26 

2  22 

2  19 

2  15 

2  10 

2  06 

2  02 

1 57 

50 

I  20 

I  17 

I  15 

I  14 

I  II 

I  10 

I  07 

I  05 

I  03 

I  01 

0  59 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


205 


AZIMUTH  OR  TRUE   BEARING. 


liATITUDE  60°. 


DECLINATION— SAME  NAME  AS— LATITUDE. 


liATITUDE  500. 


Hour  Angle. 


b. 

O 


lO 


11 


12 


m. 
OO 
lO 
29 
30 
40 
50 

OO 
lO 

ao 

30 
40 
50 

OO 
lO 

ao 

30 
40 
50 

OO 
10 
30 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
SO 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 

ao 

30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


24° 


8o  cxj 
74  48 
6938 
64  35 
59  39 
54  53 

50  18 

45  55 
41  44 

37  46 
34  00 
30  25 

27  02 

23  49 
20  46 

17  51 
15  05 

12  25 

09  52 
07  26 
05  04 
02  47 

00  35 
98  28 

96  23 
94  21 
92  22 
90  26 
8832 
8639 


82  58 
81  10 
79  21 
77  34 
7548 

74  02 
72  15 
70  30 
6843 
6656 
65  09 

63  22 
61  33 
59.44 
57  55 
56  03 
54  12 

52  18 
.50  24 
48  28 
46  31 
44  32 
42  32 

40  29 
38  26 
36  22 
34  15 
32  06 
2958 

27  46 
25  32 
23  19 
21  03 
1847 
16  29 

14  09 
II  49 
9  29 
7  06 

4  45 
2  22 
o  00 


26° 


80  00 
7438 
69  20 
64  09 
59  06 
54  14 

49  32 
45  05 
40  51 
36  50 
33  02 
29  26 

26  01 
22  48 

19  45 
16  50 
14  04 
n  25 

0853 
06  28 
04  07 
01  52 
99  40 
97  33 

95  29 
93  29 
91  31 
89  35 
87  42 
8550 

84  00 
82  II 
80  24 
78  37. 
76  51 
75  04 

73  18 
71  33 
69  48 
68  02 
66  16 
64  31 

62  44 
6056 
5908 
57  19 
55  29 
5338 

51  45 
49  52 
47  57 
46  01 
44  03 
42  04 

40  03 
38  00 
35  57 
33  50 
31  45 
29  36 

27  26 
25  15 
23  03 

20  48 
18  32 
16  16 

1358 
II  41 
9  21 
7  01 

4  41 
2  20 
o  00 


26° 


180  00 
174  28 
169  02 
163  41 
158  30 
153  31 

148  45 
144  13 
139  55 
135  51 
132  01 
128  25 

125  00 
121  45 
118  43 

115  47 
113  02 
no  25 

107  53 
105  28 
103  09 

TOO  54 

98  45 
9638 

94  36 
92  36 
90  39 
8845 
8652 
85  02 

83  12 
81  24 
79  37 
77  51 
76  06 
74  21 

72  36 
70  51 
69  07 
67  22 
65  37 
63  51 

62  06 
60  18 

58  31 
56  43 
54  54 
53  03 

51  12 
49  19 
47  25 
45  30 
43  33 
41  35 

39  35 
37  35 
35  32 
33  27 
31  22 
29  15 

27  07 
24  57 
22  46 
20  32 
18  19 
16  05 

1348 
II  31 
9  14 
656 
438 
2  19 
o  00 


27° 


180  00 
174  18 
168  42 
163  II 
157  52 
152  45 

147  54 
143  17 
13856 
134  49 
130  57 
127  20 

123  53 
120  41 
117  38 
114  44 
III  59 
109  21 


28° 


106  52 

104  27 

102  09 

99  55 

97  47 

95  42 

93  41 

91  42 

89  46 

87  52 

86  oi 

84  12 

82  23 
8036 

7851 

77  05 
75  20 
73  36 

71  53 
70  08 
68  25 
66  41 
64  57 
63  II 

61  27 
59  41 

57  54 
56  07 
54  18 
52  29 

5038 
48  46 
46  53 
45  00 
43  04 
41  07 

39  07 
37  09 
35  07 
33  04 
31  00 
28  54 

26  46 
24  38 
22  29 
20  17 
18  05 
15  52 

13  38 
II  23 
9  08 
6  51 
4  34 
2  17 
o  00 


180  00 
174  07 
168  19 
162  39 
157  10 
151  57 

146  59 
142  17 
137  52 
133  43 
129  50 
126  II 

122  45 
119  32 
116  29 

113  35 
no  52 
108  16 

105  48 
103  25 
101  07 
9855 
96  47 
94  43 

92  43 
90  46 
88  52 

8659 
8508 
83  20 

81  33 

79  47 
78  02 
76  17 
74  34 
72  51 

71  08 
69  25 
67  42 
65  59 
64  15 
62  32 

6047 


2»° 


5902 

57  16 

55  30 

53  42 

51  53 

50  04 
48  13 
46  21 

44  28 

42  34 
40  38 

38  40 
36  41 

34  41 

32  40 

30  37 
2833 

26  27 

24  19 

22  II 

20  02 

17  52 

15  40 

13  27 

II  14 

9  00 

6  45 

4  31 

2  15 

0  00 

80  00 

73  55 

67  55 

62  03 
56  26 
51  04 

46  00 
41  13 
36  45 
32  34 
28  39 
24  59 

21  33 

18  20 
15  18 

12  26 
09  44 
07  09 

04  41 
02  20 
00  05 
97  53 
95  47 
93  45 

91  46 
89  50 
8756 
86  06 
84  16 
82  29 

80  42 

7858 
77  14 
75  30 
73  47 
72  06 

70  23 

68  41 
67  00 
65  17 

63  34 
61  52 

60  08 
58  24 
56  39 
54  54 
53  07 
51  19 

49  31 

47  41 
45  51 
43  58 
42  04 
40  10 

38  13 
36  16 

34  17 
32  16 

30  14 
28  II 

26  07 
24  01 
21  55 

19  47 
1738 
15  28 

13  17 
II  06 

853 
6  40 
4  27 
2  14 
o  00 


30° 


180  00 

173  41 
167  28 
161  25 
155  38 
150  08 

144  5^ 
140  05 

135  33 
131  20 
127  24 
123  45 

120  19 
117  06 
114  05 
III  14 

105  33 

106  00 

103  33 
loi  14 

98  59 
96  50 
94  46 
92  45 

90  47 
88  52 
87  00 
85  10 
83  22 
81  37 

79  51 
78  07 
76  25 
74  43 
73  01 
71  19 

6938 
6758 
66  16 
64  36 
62  53 
61  12 


31<' 


59  29  1 

57  45 

56  02 

54  17 

52  31 

5045 

4857 

4708 

45  19 

43  27 

41  35 

39  41 

37  46 

35  49 

33  52 

31  53 

29  52 

27  51 

25  48 

23  43 

21  39 

19  32 

17  2A 
15  16 

13  07 

10  57 

8  46 

6  3.'5 

4  24 

2  12 

0  00 

180  00 

173  26 

166  59 
160  44 
154  45 
149  07 

143  49 
138  52 
134  18 
130  02 
126  06 
122  26 

119  01 

115  49 
112  49 
no  00 
107  20 
104  4S 

102  25 
100  06 
97  54 
95  46 
93  43 
91  43 

89  47 
8754 
86  04 
84  15 
82  28 
8044 

79  00 
77  17 
75  35 
73  54 
72  14 
70  34 

6853 
67  13 
65  33 
63  53 
62  12 
60  31 

58  49 
57  07 
55  25 
53  40 
51  55 
50  10 

48  24 
46  35 
44  47 
42  57 
41  06 
39  12 

37  18 
35  23 
33  27 
31  29 
29  30 
27  30 

25  29 
23  25 
21  22 

19  17 
17  II 
15  04 

12  56 
10  49 

839 
6  30 
4  21 


32° 


33° 


180  00 

173  09 
166  26 

159  58 
153  47 
147  59 

142  35 
137  34 
132  56 
128  38 
124  41 
121  02 

117  38 
114  28 
III  29 
108  42 
106  05 
103  35 


98  55 
96  45 
94  40 
92  39 
90  41 

88  46 
8654 
85  05 
83  18 
81  33 
79  49 

78  07 
76  25 
74  45 
73  05 
71  25 
69  46 

68  07 
66  28 
64  49 
63  10 
61  30 
59  50 

5809 
56  28 
54  46 
53  03 
51  19 
49  35 

47  49 
46  02 

44  15 
42  26 
40  35 
3845 

36  52 
34  57 
33  02 
31  05 
29  08 
27  09 

25  09 

23  07 
21  06 
19  02 
1658 
14  53 

12  47 
10  40 
8  32 
6  25 
4  17 
2  08 
o  00 


180  00 
172  51 
165  50 
159  07 
152  44 
146  46 

141  16 

136  ID 
131  29 
127  10 
123.  13 

119  34 

116  II 

"3  03 
no  07 
107  21 
104  46 
102  18 

99  57 
97  43 
95  35 
93  31 
91  32 
89  36 

8743 
85  53 
84  06 
82  20 
8036 
7854 

77  12 

75  33 
73  54 
72  15 
70  36 

6859 

67  21 
65  43 
64  05 
62  26 
60  47 
59  09 

57  29 
55  49 
5408 
52  26 
50  43 
49  (^ 

47  15 
45  30 
43  43 
41  54 
40  05 
38  16 

36  23 
34  31 
32  37 
30  42 
28  46 
26  49 

24  50 
22  50 
20  49 

1847 
16  45 
14  40 

12  36 
10  31 
825 
6  19 
4  14 
2  07 
o  00 


34° 


180  00 
172  30 
165  12 
158  II 
151  34 
145  27 

139  49 
134  39 
129  56 
125  37 
121  40 
118  03 

114  41 
III  35 
108  42 
105  58 
103  25 
loi  00 

98  42 
96  30 
94  24 
92  22 
90  24 
88  31 

8639 
8451 
83  06 
81  21 
79  39 
77  59 

76  19 
74  40 
73  02 
71  24 
69  47 
68  10 

6634 
64  57 
63  20 
6i  43 
60  06 
58  28 

56  49 
55  09 
53  29 
51  49 
50  07 
48  25 

46  41 

44  57 
43  II 
41  25 
39  37 
3748 

35  57 
34  05 
32  13 
30  19 
28  24 
26  27 

24  30 
22  32 
20  33 
18  32 
16  31 
14  29 

12  27 
10  23 
8  19 
6  14 
4  10 
2  05 
o  00 


35<: 


o  ' 
180  00 
172  07 
164  27 
15708 
150  17 
144  00 

138  14 
133  01 
128  16 
123  57 
120  02 
116  25 

113  06 
no  03 
107  12 
104  32 
102  00 
99  39 


Hour  Angle. 


O 


97  23 

95 

14 

93  09 

91 

n 

89 

15 

87 

23 

85 

35 

8348 

82 

04 

80 

21 

78 

41 

77 

02 

75  24 

73 

4b 

72  09 

70  33 

68 

57 

67 

22 

65  46 

64  10 
62  35 
60  59 
59  22 
57  45 

56  08 
54  .30 
52  51 
51  II 
49  31 
47  49 

46  06 
44  23 
42  39 
40  53 
39  06 
37  18 

35  30 
33  39 
31  48 
29  55 
28  02 
26  07 

24  II 

22  14 

20  16 

18  17 

16  17 

14  18 

12  17 
10  15 
8  12 
6  10 
4  07 
2  03 
o  00 


10 


11 


12 


m. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30. 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


206 


AZIMUTH   OR  TRUE    BEARING. 


l.atiti;i>e:  50°. 

DECLINATION— 

SAME  NAME  AS— LATITUDE. 

LATITIJDC:  50°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

410 

42° 

43° 

44° 

46° 

46° 

47° 

Hour  Angle. 

b. 

m. 

o  / 

0  / 

1 
0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

li.    ni. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

171  40 

171  10 

170  35 

169  54 

169  05 

168  04 

166  50 

165  16 

163  13 

160  25 

156  22 

150  09 

10 

20 

163  36 

162  38 

161  31 

160  14 

158  43 

156  54 

154  42 

151  58 

148  31 

144  05 

138  12 

130  16 

20 

30 

155  57 

154  37 

153  06 

151  21 

149  20 

146  58 

144  10 

140  48 

136  45 

131  48 

125  44 

118  16 

30 

40 

148  52 

147  15 

145  26 

143  25 

141  05 

138  24 

135  19 

131  45 

127  35 

122  43 

117  04 

no  33 

40 

60 

142  23 

140  36 

13836 

136  24 

133  56 

131  08 

128  00 

124  27 

120  26 

115  54 

no  49 

105  09 

50 

1 

OO 

136  32 

134  38 

132  34 

130  18 

127  47 

124  59 

121  55 

118  30 

114  44 

no  35 

106  01 

loi  04 

1     00 

10 

131  M 

129  19 

127  13 

124  57 

122  27 

119  44 

116  47 

113  34 

no  04 

106  16 

102  11 

97  49 

10 

20 

126  29 

124  33 

122  28 

120  14 

117  50 

115  13 

112  25 

109  24 

106  10 

102  42 

99  01 

95  06 

20 

30 

122  10 

120  16 

118  14 

116  03 

113  45 

III  16 

108  34 

105  48 

102  49 

9938 

96  16 

92  45 

30 

40 

118  16 

116  24 

114  26 

112  23 

no  07 

107  46 

105  14 

102  39 

99  52 

96  57 

93  52 

90  40 

40 

60 

114  42 

112  55 

III  00 

109  00 

106  53 

104  39 

102  18 

99  51 

97  16 

94  33 

91  43 

88  47 

50 

2 

OO 

III  26 

109  42 

107  52 

105  57 

103  56 

lioi   49 

99  36 

97  18 

94  53 

92  22 

89  45 

87  02 

2     00 

lO 

108  26 

106  45 

105  00 

103  09 

loi  14 

99  13 

97  09 

9458 

92  42 

90  21 

8755 

85  24 

10 

20 

105  39 

104  01 

102  19 

100  34 

98  44 

96  50 

94  51 

92  49 

9041 

88  28 

86  12 

83  51 

20 

30 

103  01 

loi  27 

99  50 

98  09 

96  24 

94  36 

92  44 

90  47 

8846 

86  42 

84  34 

82  22 

30 

40 

100  34 

99  03 

97  29 

95  53 

94  13 

92  30 

90  42 

88  53 

86  58 

85  02 

83  00 

8057 

40 

50 

98  15 

9647 

95  17 

93  45 

92  09 

90  30 

88  49 

87  04 

85  16 

83  25 

81  30 

79  33 

50 

3 

OO 

96  02 

9438 

93  12 

91  43 

90  II 

8837. 

87  00 

85  20 

8338 

81  52 

80  04 

78  13 

3     00 

lO 

93  56 

92  35 

91  II 

89  46 

88  18 

86  48 

85  15 

83  40 

82  02 

80  22 

78  39 

76  53 

10 

20 

91  54 

9036 

89  15 

87  54 

86  29 

8503 

83  34 

82  03 

80  30 

78  54 

77  15 

75  35 

20 

30 

89  57 

88  42 

87  24 

86  06 

84  44 

83  21 

81  56 

80  29 

79  00 

7728 

75  53 

74  18 

30 

40 

88  04 

86  51 

8537 

84  21 

83  02 

81  43 

80  21 

78  57 

77  31 

76  03 

74  33 

73  02 

40 

60 

86  15 

85  04 

8352 

82  39 

81  23 

80  06 

7847 

77  27 

76  05 

74  41 

73  14 

71  46 

50 

4 

OO 

84  28 

83  20 

82  10 

80  58 

79  46 

78  32 

77  16 

75  58 

74  39 

73  19 

71  56 

70  32 

4     00 

lO 

•  82  43 

81  37 

80  30 

79  21 

78  II  ■ 

7659 

75  46 

74  31 

73  15 

71  57 

7038 

69  16 

10 

20 

81  02 

79  57 

7852 

77  45 

76  37 

75  28 

74  16 

73  05 

71  51 

70  36 

69  20 

68  02 

20 

30 

79  21 

78  19 

77  15 

76  10 

75  04 

7358 

72  49 

71  40 

70  29- 

69  16 

68  03 

6647 

30 

40 

77  42 

76  41 

75  39 

74  37 

73  33 

72  29 

71  22 

70  15 

69  06 

67  57 

66  46 

65  33 

40 

60 

76  04 

75  05 

74  05 

73  05 

72  03 

71  01 

6956 

6851 

67  45 

6637 

65  28 

64  18 

50 

5 

OO 

74  27 

73  30 

72  31 

71  33 

70  32 

69  32 

68  29 

67  27 

66  23 

65  18 

64  10 

63  03 

5     00 

lO 

72  52 

71  55 

70  59 

70  01 

69  04 

68  04 

67  04 

66  03 

65  01 

6358 

62  53 

61  48 

10 

20 

71  16 

70  22 

6926 

68  31 

67  34 

66  38 

6538 

64  39 

63  40 

62  38 

61  35 

60  33 

20 

30 

69  42 

68  48 

67  54 

67  01 

66  06 

65  10 

64  13 

63  16 

62  17 

61  18 

60  17 

59  17 

30 

40 

68  06 

67  15 

66  23 

65  31 

64  37 

63  43 

62  47 

61  52 

60  55 

5958 

5859 

58  00 

40 

50 

6633 

65  43 

64  52 

64  01 

63  09 

62  16 

61  22 

60  28 

59  33 

5838 

57  40 

56  43 

50 

6 

OO 

6458 

64  09 

63  20 

62  30 

61  40 

60  48 

5956 

59  03 

58  10 

57  17 

56  21 

55  26 

6     00 

lO 

63  24 

62  36 

61  48 

60  59 

60  10 

59  21 

58  30 

57  38 

56  47 

55  54 

55  00 

54  07 

10 

20 

61  49 

61  03 

60  16 

59  29 

5841 

57  53 

57  03 

56  14 

55  23 

54  33 

53  40 

52  48 

20 

30 

60  14 

59  30 

5844 

57  57 

57  11 

56  24 

55  36 

54  48 

53  59 

53  09 

52  19 

51  29 
50  08 

30 

40 

5839 

57  55 

57  10 

■S6  26 

55  40 

54  55 

54  08 

53  21 

52  34 

51  46 

50  57 

40 

50 

57  03 

56  20 

55  37 

54  53 

54  09 

53  25 

52  39 

51  54 

51  08 

50  22 

49  35 

4847 

50 

7 

OO 

55  27 

54  45 

54  03 

53  20 

.  52  38 

51  56 

51  10 

50  27 

49  42 

48  57 

48  12 

47  25 

7     00 

lO 

53  50 

53  09 

52  28 

51  47 

51  05 

50  23 

49  41 

4858 

48  15 

47  32 

46  47 

46  03 

10 

20 

52  II 

51  32 

50  52 

50  13 

49  32 

48  52 

48  10 

47  29 

46  48 

46  05 

45  21 

44  39 

20 

30 

50  33 

49  55 

49  17 

4838 

4758 

47  20 

46  39 

46  00 

45  19 

44  38 

43  56 

43  15 

30 

40 

48  54 

48  17 

47  39 

47  02 

46  23 

45  46 

45  07 

44  28 

43  49 

43  09 

42  29 

41  50 

40 

50 

47  14 

46  38 

46  01 

45  25 

44  49 

44  12 

43  34 

42  57 

42  19 

41  41 

41  02 

40  23 

60 

8 

OO 

45  32 

44  57 

44  22 

43  47 

43  u 

42  36 

41  59 

41  24 

40  47 

40  10 

39  32 

3855 

8     00 

lO 

43  50 

43  17 

42  43 

42  08 

41  34 

41  00 

40  25 

39  50 

39  15 

38  40 

3803 

37  28 

10 

20 

42  07 

41  34 

41  02 

40  28 

39  55 

39  23 

3848 

38  16 

37  42 

37  07 

36  33 

35  59 

20 

30 

40  22 

39  51 

39  19 

3848 

38  16 

37  45 

37  12 

36  40 

36  07 

35  34 

35  01 

34  28 

30 

, 

40 

38  37 

38  07 

37  37 

37  06 

36  35 

36  05 

35  34 

35  03 

34  32 

34  00 

33  29 

32  57 

40 

50 

36  50 

36  21 

35  51 

35  23 

34  54 

34  25 

33  55 

33  26 

32  56 

32  27 

31  56 

31  26 

50 

9 

00 

35  02 

34  34 

34  07 

33  39 

33  II 

32  43 

32  15 

31  47 

31  19 

30  50 

30  21 

29  52 

9     00 

lO 

33  14 

32  46 

32  20 

31  54 

31  28 

31  01 

30  34 

30  08 

29  41 

29  13 

28  46 

28  19 

10 

20 

31  23 

3058 

30  32 

30  08 

29  43 

29  18 

2853 

28  27 

28  02 

27  36 

27  10 

26  44 

20 

30 

29  32 

29  08 

28  44 

28  21 

27  57 

27  34 

27  09 

26  45 

26  22 

2558 

25  33 

25  09 

30 

40 

27  39 

27  17 

26  54 

26  32 

26  II 

25  48 

25  26 

25  03 

24  41 

24  18 

23  55 

23  32 

40 

50 

25  46 

25  25 

25  04 

24  44 

24  22 

24  02 

23  41 

23  20 

22  59 

22  38 

22  16 

21  55 

50 

lO 

OO 

23  51 

23  33 

23  13 

22  54 

22  34 

22  15 

21  55 

21  36 

21  17 

20  57 

20  37 

''f  'Z 

10   00 

lO 

21  56 

21  38 

21  20 

21  03 

20  45 

20  27 

20  09 

19  51 

19  34 

19  15 

1857 

18  38 

10 

20 

20  00 

19  44 

19  28 

19  II 

18  55 

18  38 

18  22 

18  06 

17  50 

17  32 

17  16 

16  59 

20 

30 

18  03 

17  48 

17  33 

17  18 

17  03 

16  49 

16  34 

16  19 

16  04 

15  49 

15  35 

15  19 

30 

40 

16  05 

15  52 

15  38 

15  24 

15  12 

14  59 

14  45 

14  32 

14  19 

14  05 

13  52 

13  39 

40 

50 

14  06 

13  55 

13  43 

13  31 

13  19 

13  08 

12  56 

12  44 

12  33 

12  21 

12  10 

II  58 

50 

11 

OO 

12  06 

II  57 

II  46 

II  36 

II  26 

11  16 

II  07 

10  56 

10  46 

10  36 

10  26 

10  16 

11     00 

lO 

10  06 

958 

9  50 

9  41 

9  33 

9  24 

9  16 

9  07 

8  59 

851 

8  43 

834 

10 

20 

8  05 

7  59 

7  52 

7  45 

7  39 

7  32 

7  25 

7  19 

7  12 

7  05 

6  59 

6  52 

20 
30 
40 
50 

30 

6  05 

5  59 

5  55 

5  49 

5  44 

538 

5  33 

5  29 

5  24 

5  20 

5  14 

5^ 

40 

4  03 

3  59 

3  57 

3  53 

3  50 

3  47 

3  43 

3  39 

3  37 

3  33 

3  30 

3  26 

SO 

2  02 

2  00 

I  58 

I  56 

I  55 

I  53 

I  52 

I  50 

I  49 

I  47 

I  45 

I  43 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Korth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


207 


AZIMUTH  OR  TRUE  BEARING. 


I.ATITUDE  50°. 


DECI.INATION— SAME  NAME  AS— I^ATITUDE. 


latitude;  50°. 


Hour  Angle. 


b. 

O 


10 


11 


12 


ni. 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
60 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


48° 


180  00 
139  42 
119  28 
109  16 
103  09 
98  55 

95  46 
93  10 
91  00 
8g  05 
87  21 
85  44 

84  14 
82  48 
81  26 
80  07 
78  49 
77  33 

76  19 
75  05 
73  52 
72  40 

71  33 
70  17 

69  05 
67  54 
66  43 

65  31 
64  18 

63  07 

61  54 
60  41 
59  28 
58  14 
56  59 
55  45 

54  29 
53  12 
51  55 
50  37 
49  18 
47  58 

46  39 
45  17 
43  55 
42  32 
41  08 
39  44 


49° 


50° 


38 17 

3738 

36  51 

36  14 

35  23 

34  48 

33  54 

33  21 

32  25 

31  52 

30  54 

30  24 

29  23 
27  51 
26  18 

24  44 
23  09 
21  34 

1958 
18  20 
16  42 
15  04 
13  25 
II  45 

10  06 
8  25 
6  45 
5  04 
3  23 
I  41 

O  CX) 


180  00 
120  40 

115  12 
98  44 

94  56 
92  14 

90  07 
88  19 
86  44 
85  16 
83  54 
82  37 

81  21 
80  oS 

7857 
7748 
76  39 
75  31 

74  22 
73  15 
72  08 
71  01 
69  53 
6845 

6738 
66  30 
65  22 
64  13 
63  04 
61  55 

60  44 
59  34 
58  23 
57  II 
5558 
54  45 

53  31 
52  16 
51  02 
49  46 
48  28 
47  10 

45  52 
44  31 
43  10 
41  50 
40  27 

39  04 


28  54 
27  23 
25  52 
24  26 
22  46 
21  12 

19  37 
18  01 
16  25 
14  49 
13  II 
II  34 

9  55 
8  17 
6  38 
4  59 
3  19 
I  40 
o  00 


88  05 
8707 
86  10 
85  12 

84  14 
83-17 
82  18 
81  20 
80  21 
79  23 

78  24 
77  25 
76  25 
75  25 
74  25 
73  25 

72  24 
71  22 
70  20 
69  18 

^  '5 
67  12 

66  oS 
65  04 
63  59 
62  53 
61  47 
60  41 

59  33 
58  25 
57  16 
56  06 
54  56 
53  45 

52  33 
51  20 
50  06 
48  51 
47  36 
46  20 

45  03 
43  44 
42  25 
41  06 

39  45 
3823 

37  00 
35  36 
34  12 
32  46 
31  20 
29  52 

28  24 

26  55 

25  25 

23  54 

22  22 

20  50 

19  17 
17  43 
16  08 

14  33 
12  58 
II  22 

9  45 
8  08 
6  31 
4  53 
3  16 
I  38 
o  00 


51° 

52° 

0  ' 

0  ' 

0  00 

0  00 

f  56  53 

37  14 

70  37 

5538 

75  17 

64  09 

77  13 

68  32 

78  02 

70  55 

78  15 

72  15 

78  08 

7258 

7748 

73  16 

77  19 

73  17 

76  46 

73  05 

76  06 

72  46 

75  23 

72  20 

74  37 

7148 

73  51 

71  12 

73  «> 

70  33 

72  09 

69  51 

71  17 

69  06 

70  23 

68  19 

69  28 

67  31 

68  32 

66  40 

67  34 

65  49 

66  36 

64  55 

65  37 

64  00 

64  37 

63  05 

6336 

62  oS 

62  35 

61  09 

61  33 

60  10 

60  29 

59  II 

1  59  25 

58  09 

1  5821 

57  07 

57  15 

56  03 

56  09 

54  59 

55  01 

53  54 

53  53 

52  48 

52  44 

51  41 

51  34 

50  33 

50  23 

49  24 

1  49  II 

48  15 

47  57 

47  03 

46  44 

45  51 

45  30 

44  38 

44  14 

43  25 

42  57 

42  10 

41  40 

40  53 

40  22 

39  37 

39  03 

38  19 

37  42 

37  01 

36  21 

35  41 

34  59 

34  21 

33  35 

33  00 

32  12 

31  37 

30  47 

30  13 

29  21 

28  49 

27  54 

27  23 

26  27 

25  58 

2458 

24  31 

23  29 

23  04 

21  58 

21  35 

20  28 

20  05 

18  56 

18  35 

17  25 

17  06 

15  52 

15  34 

14  18 

14  02 

12  44 

12  30 

II  10 

10  57 

9  35 

9  25 

8  00 

7  51 

6  24 

6  17 

4  48 

4  43 

3  12 

3  09 

136 

I  34 

0  CO 

0  00 

53° 


0  00 
26  27 
44  08 

54  23 

60  25 

64  06 

66  24 

67  51 

68  44 

69  13 
69  25 
69  25 

69  14 
6856 
6832 
68  03 
67  30 
6654 

66  14 

65  32 
64  48 
64  02 

63  13 
62  23 

61  31 
60  38 
59  43 
5847 
57  51 
56  52 

55  53 
54  52 
53  50 
52  47 
51  43 
50  39 

49  32 
48  26 
47  18 
46  08 

44  59 
43  47 

42  35 
41  22 

40  08 
38  53 
37  37 
36  19 

35  01 
33  43 
32  22 
31  02 
29  39 
28  17 

26  53 
25  29 
24  04 
22  38 
21  II 
19  43 

18  15 
16  47 
15  17 
13  47 
12  16 
10  46 

9  14 
7  42 
6  10 
4  38 
3  06 

1  33 

O  CX3 


54" 


550 


56° 


o  00 
20  04 
3538 

46  II 

53  08 

57  42 

60  46 

62  52 

64  16 

65  II 

65  44 

66  02 

66  07 
66  03 
65  50 
65  32 
65  08 
64  39 

64  07 

63  32 
62  53 
62  12 

61  28 
60  42 

59  54 
59  06 

58  15 
57  22 
56  28 
55  33 

54  35 
5338 
52  39 
51  38 
50  37 
49  34 

48  30 

47  25 
46  20 
45  12 
44  04 
42  55 

41  44 
40  32 
39  20 
3807 
36  52 
35  37 

34  21 
33  03 


15  57 
29  22  I 

39  28 

46  43  I 

51  50  I 

55  28 

58  04 

59  55 

61  T2  ] 

62  06  I 

62  40 

63  01  i 
63  09  I 

6309 ! 
63  00 
62  45 
62  24 1 

61 59 

61 28  j 
60  57 1 

60  21  ! 
59  42 
59  «> 

58  17 
57  33 

56  45 
55  56 
55  04 
54  12 

53  19 

52  23 
51  26 
50  29 
49  29 
48  29 

47  27 
46  24 
45  21 
44  14 
43  09 
42  00 

40  52 
39  42 
38  32 
37  20 
36  07 
34  54 

33  39 
32  23 


31  45 

31  07 

30  25 

29  49 

29  05 

28  30 

27  44 

27  II 

26  22 

25  51 

24  59 

24  31 

23  36 

23  07 

22  12 

21  45 

20  46 

20  21 

19  20 

•18  57 

17  54 

17  33 

16  26 

16  08 

14  59 

14  41 

13  31 

13  15 

12  02 

II  48 

10  33 

10  20 

9  03 

853 

7  33 

7  24 

6  03 

5  56 

4  32 

4  27 

3  01 

2  58 

I  31 

I  29 

0  00 

0  00 

0  00 

13  05 

24  40 

34  00 

41  II 

46  33 

50  32 
53  31 

55  43 
57  21 
5832 
59  22 

59  55 

60  16 
6o  26 
60  27 
60  20 
60  oS 

59  49 
59  26 
5859 
5829 

57  55 
57  19 

56  39 
5558 
55  14 
5428 
53  40 
52  51 

52  00 

51  07 
50  13 
49  17 
48  21 

47  23 

46  23 
45  22 
44  21 
43  16 

42  13 
41  06 

40  00 

3852 
37  43 
36  33 

35  23 
34  II 

32  58 
31  43 
30  29 
29  12 
27  56 
26  38 

25  19 
24  00 
22  39 
21  18 
19  57 
18  35 

17  12 
15  48 

14  24 
12  59 
II  33 
10  08 

8  42 
7  15 
5  49 
4  21 
2  54 

1  27 
o  00 


57° 


0  00 

11  00 

21  02 
29  33 
36  25 

41  50 

46  00 

49  14 

51  43 

53  37 

55  03 

56  06 

56  52 

57  23 
57  43 
57  54 
57  55 
57  50 

57  38 
57  21 
57  00 
56  35 
5606 

55  34 

54  59 
54  21 
53  41 

52  59 
52  15 
51  28 

50  40 
49  50 
48  59 
48  05 

47  II 
46  15 

45  17 
44  18 
43  19 

42  17 
41  15 
40  II 

39  07 
38  01 
36  53 
35  46 
34  37 
33  26 

32  15 
31  03 
29  49 
28  35 
27  20 
26  04 

24  47 
23  29 

22  II 
20  51 
19  32 
18  II 

16  49 
15  28 
14  c6 

12  42 
II  19 

9  55 

8  30 
7  06 

5  41 
4  16 

2  50 

1  25 
o  00 


58° 


59° 


9  24 

18  10 

25  51 

32  20 

37  37 

41  52 

45  15 

47  55 

50  01 

51  38 

52  53 

53  51 

54  33 

55  01 
55  20 
55  29 
55  32 

55  27 
55  15 
55  00 
54  40 
54  15 
53  49 

53  18 
52  43 
52  07 
51  29 
50  47 
50  04 

49  18 

48  31 
47  43 

46  52 
45  59 
45  06 

44  II 
43  14 

42  17 
41  17 
40  17 
39  15 

38  13 
37  09 
36  03 
34  57 

33  50 
32  41 

31  31 
30  21 
29  09 
27  57 

26  44 
25  30 

24  14 
22  58 
21  42 
20  25 

19  06 
17  47 

16  28 
15  07 
13  46 
12  26 
II  04 
9  42 

8  19 
656 
5  33 
4  10 
2  47 
I  23 
o  00 


0  00 

8  10 

15  52 

22  49 

28  51 

33  55 

3808 

41  34 

44  22 

46  35 

48  23 

49  48 

50  54 

51  45 

52  22 
5248 

53  05 
53  14 

53  15 
53  10 
53  00 
52  45 
52  25 
52  02 

51  36 
51  05 
50  33 
49  57 
49  19 
48  39 

47  57 
47  13 
46  26 

45  39 
44  48 
43  57 

43  04 

42  10 
41  15 
40  18 

39  19 
38  19 

37  18 
36  16 

35  13 

34  09 
33  03 
31  56 

30  48 

29  40 
28  30 

27  19 
26  08 

24  55 

23  42 
22  27 
21  13 
19  56 
18  41 
17  24 

16  06 
14  47 
13  28 
12  10 
10  49 

9  30 

8  08 
6  47 
526 
4  05 
2  44 

1  22 
o  00 


Hour  Angle. 


li. 
O 


10 


11 


12 


ni. 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

QO 
lO 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  Angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


208 


AZIMUTH  OR  TRUE  BEARING. 


L.ATITUDE:  50°. 

DECI,INATION— SAME  NAME  AS— I,ATITUDE. 

LATITVDC:  60°. 

Hoar  Angle. 

60° 

61  = 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

h.    ni. 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  > 

0  r 

0  r 

0  / 

0  / 

0'  / 

li.    ni. 

O     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0   00 

0  00 

0  00 

0  00 

0.  00 

0     00 

lO 

708 

6  19 

538 

6   01 

i  31 

4  04 

3  41 

3  20 

3  02 

2  44 

2  30 

10 

20 

13  59 

12  24 

II  04 

9  55 

855 

8  03 

7  18 

637 

6  01 

5  28 

4  58 

20 

30 

20  15 

18  04 

16  II 

14  34 

13  09 

II  54 

10  48 

9  49 

8  56 

8  07 

7  23 

30 

40 

25  49 

23  11 

20  55 

1854 

17  07 

15  33 

14  08 

12  52 

II  43 

10  41 

9  44 

40 

50 

30  38 

27  44 

25  09 

22  51 

20  48 

18  57 

17  17 

15  46 

14  24 

13  09 

12  00 

50 

1        00 

34  43 

31  40 

2854 

26  24 

24  07 

22  04 

20  II 

18  28 

1655 

15  29 

14  10 

1     00 

10 

3809 

35  01 

32  09 
34  58 

29  31 

27  06 

24  53 

22  52 

20  59 

19  16 

17  41 

16  12 

10 

20 

41  00 

37  52 

32  16 

29  46 

27  26 

25  17 

23  17 

21  26 

19  43 

18  06 

20 

30 

43  21 

40  16 

37  22 

3438 

32  06 

29  43 

27  28 

25  23 

23  25 

21  35 

19  53 

30 

40 

45  15 

42  15 

39  24 

36  42 

34  07 

31  42 

29  25 

27  16 

25  14 

23  19 

21  31 

40 

50 

46  46 

43  53 

41  06 

38  26 

35  52 

33  27 

31  08 

-28  57 

26  52 

24  54 

23  02 

50 

2     00 

48  01 

45  13 

42  30 

39  53 

37  23 

^fe 

32  39 

30  26 

28  19 

25  19 

24  24 

2     00 

10 

48  59 

46  18 

43  41 

41  07 

38  39 

33  58 

31  45 

29  35 

27  35 

25  38 

10 

20 

49  44 

47  08 

44  36 

42  08 

39  43 

37  22 

35  06 

32  54 

30  46 

2843 

26  44 

20 

30 

50  17 

47  48 

45  22 

42  58 

40  36 

38  19 

36  04 

33  53 

31  46 

29  43 

27  44 

30 

40 

50  41 

48  :8 

45  56 

43  37 

41  19 

39  05 

36  52 

34  44 

32  37 

30  36 

28  36 

40 

50 

50  55 

4838 

46  22 

44  07 

41  54 

39  42 

37  33 

35  26 

33  22 

31  20 

29  21 

50 

3     00 

51  02 

48  50 

46  40 

44  29 

42  20 

40  12 

38  05 

36  01 

33  59 

31  59 

30  00 

3     00 

10 

51  03 

48  57 

46  50 

44  45 

42  39 

40  35 

38  31 

36  29 

34  29 

32  30 

30  34 

10 

20 

5058 

48  56 

46  55 

44  53 

42  52 

40  51 

38  51 

36  52 

34  53 

32  57 

31  01 

20 

30 

50  48 

48  51 

46  54 

44  56 

42  59 

41  01 

39  04 

3708 

35  12 

33  18 

31  24 

30 

40 

50  33 

48  40 

46  47 

44  54 

42  59 

41  06 

39  12 

37  19 

35  25 

33  34 

31  41 

40 

50 

50  14 

4825 

46  36 

44  48 

42  57 

41  06 

39  15 

37  25 

35  34 

33  45 

31  55 

SO 

4     00 

49  51 

48  07 

46  22 

44  35 

42  49 

41  02 

39  14 

37  26 

3538 

33  50 

32  03 

4     00 

10 

49  26 

47  44 

46  01 

44  21 

.42  37 

40  53 

39  09 

37  24 

3538 

33  53 

32  08 

10 

20 

4856 

47  38 

45  41 

44  01 

42  21 

40  41 

3859 

37  16 

35  35 

33  52 

32  09 

20 

30 

48  24 

46  50 

45  15 

43  39 

42  02 

40  24 

3845 

37  06 

35  26 

33  47 

32  06 

30 

40 

47  49 

46  19 

44  47 

43  14 

41  41 

40  06 

38  29 

3653 

35  16 

33  38 

32  00 

40 

50 

47  12 

45  44 

44  16 

42  46 

41  15 

39  43 

38  10 

3636 

35  02 

33  27 

31  51 

50 

6          00 

46  33 

45  08 

43  42 

42  15 

40  48 

39  18 

37  48 

36  17 

34  44 

33  12 

31  39 

5     00 

10 

45  51 

44  30 

43  06 

41  42 

40  17 

38  51 

37  23 

35  54 

34  24 

32  55 

31  24 

10 

20 

45  07 

43  49 

42  29 

41  07 

39  44 

38  20 

36  55 

35  29 

34  02 

32  35 

31  06 

20 

30 

44  22 

43  06 

41  48 

40  29 

39  09 

37  48 

36  26 

35  01 

33  37 

32  12 

30  46 

30 

40 

43  35 

42  21 

41  05 

39  49 

38  32 

37 13 

35  53 

34  32 

33  10 

31  47 

30  23 

40 

50 

42  46 

41  34 

40  22 

39  07 

37  53 

36  37 

35  19 

34  00 

32  41 

.  31  20 

2958 

50 

*i          00 

41  58 

40  47 

39  36 

38  25 

37  II 

35  58 

34  43 

33  26 

32  09 

30  51 

29  32 

6     00 

10 

41  03 

39  56 

3848 

37  39 

36  29 

35  17 

34  04 

32  50 

31  35 

30  20 

29  03 

10 

20 

40  10 

39  05 

37  59 

36  52 

35  44 

34  35 

33  25 

32  13 

31  00 

29  46 

28  32 

20 

30 

39  15 

38  12 

37  08 

36  04 

34  58 

33  52 

32  43 

31  33 

30  23 

29  12 

28  00 

30 

40 

38  18 

37  18 

36  16 

35  14 

34  10 

33  06 

31  59. 

30  52 

29  44 

28  35 

27  25 

40 

60 

37  21 

36  23 

35  23 

34  22 

33  21 

32 18 

31  15 

30  10 

29  04 

27  57 

26  48 

50 

■J           00 

36  22 

35  26 

3428 

33  29 

32  30 

31 29 

30  28 

29  25 

28  22 

27  17 

26  12 

7     00 

10 

35  22 

34  28 

33  32 

32  35 

31  38 

30  40 

29  40 

28  40 

2738 

26  35 

25  32 

10 

20 

34  21 

33  28 

32  35 

31  39 

30  45 

29  49 

28  51 

27  53 

26  54 

25  53 

24  52 

20 

30 

33  18 

32  27 

31  36 

30  44 

29  50 

2856 

28  01 

27  05 

26  07 

25  09 

24  10 

30 

40 

32  14 

31  26 

30  36 

29  45 

28  54 

28  02 

27  09 

26  15 

25  20 

24  24 

23  27 

40 

50 

31  09 

30  23 

29  35 

28  46 

27  57 

27  07 

26  17 

25  25 

24  31 

23  37 

22  43 

50 

8    00 

30  03 

29  18 

2833 

27  46 

26  59 

26  II 

25  22 

24  32 

23  41 

22  50 

21  57 

8     00 

10 

28  56 

28  14 

27  30 

26  46 

26  00 

25  13 

24  27 

23  39 

22  50 

22  01 

21  II 

10 

20 

27  49 

27  08 

26  26 

25  43 

24  59 

24  16 

23  31 

22  44 

21  58 

21  12 

20  23 

20 

30 

26  40 

26  01 

25  2b 

24  39 

23  58 

23  16 

22  33 

21  49 

21  05 

20  20 

19  34 

30 

40 

25  30 

24  52 

24  14 

23  36 

22  57 

22 16 

21  35 

20  54 

20  ri 

19  29 

18  44 

40 

50 

24  19 

23  43 

23  08 

22  31 

21  54 

21  15 

20  36 

19  56 

19  16 

18  35 

17  54 

50 

«    00 

23  08 

22  34 

21  59 

21  25 

2049 

20  13 

1936 

18  59 

18  21 

17  42 

17  03 

9     00 

10 

2t  55 

21  24 

20  51 

20  18 

19  45 

19  10 

1836 

18  00 

17  24 

16  48 

16  10 

10 

20 

20  42 

20  13 

19  42 

19  II 

18  38 

18  07 

17  34 

17  00 

16  26 

15  52 

15  18 

20 

30 

19  29 

19  01 

18  31 

18  02 

17  32 

17  02 

16  32 

16  00 

15  29 

14  56 

14  24 

30 

40 

18  13 

17  48 

17  21 

16  53 

16  26 

15  57 

15  29 

14  59 

14  30 

14  00 

13  29 

40 

50 

16  59 

16  35 

16  09 

15  44 

.15  18 

14  52 

14  25 

13  58 

13  30 

13  02 

12  33 

50 

JO   00 

15  43 

15  20 

14  57 

14  34 

14  10 

13  46 

13  21 

12  56 

12  30 

12  04 

II  38 

10     00 

10 

14  26 

14  06 

13  44 

13  23 

13  01 

12  39 

12  16 

II  53 

II  30 

II  06 

10  42 

10 

20 

13  09 

12  51 

12  32 

12  12 

11  52 

11  32 

II  II 

10  50 

10  29 

10  07 

946 

20 

?S 

II  52 

11  35 

II  17 

II  00 

10  42 

10  24 

10  06 

9  46 

9  28 

9  08 

8  48 

30 

40 

10  34 

10  18 

10  04 

9  48 

9  31 

9  16 

8  59 

8  43 

8  25 

8  08 

7  50 

40 

50 

9  16 

9  02 

8  49 

8  36 

8  22 

8  07 

7  52 

7  37 

7  23 

7  08 

652 

50 

11     00 

7  57 

7  45 

7  33 

7  22 

7  10 

658 

645 

633 

6  20 

6  07 

5  54 

11     00 

10 

638 

6  28 

6  19 

6  09 

5  59 

5  48 

5  38 

528 

518 

5  07 

4  55 

10 

20 

5  18 

5  II 

5  03 

4  55 

448 

4  39 

4  31 

4  23 

4  14 

4  05 

3  57 

20 

30 

3  59 

3  54 

348 

3  42 

336 

3  29 

3  24 

3  17 

3  II 

3  04 

258 

30 

40 

2  39 

2  36 

2  32 

2  28 

2  24 

2  20 

2  16 

2  II 

2  07 

2  03 

I  59 

40 

50 

I  20 

I  18 

I  16 

I  14 

I  12 

I  10 

I  08 

I  06 

I  04 

I  02 

0  59 

50 

12     00 

0  00 

0  00 

0  00 

0  c» 

0  00 

0  CX) 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


209 


AZIMUTH  OR  TRUE  BEARING. 


1°. 

DECLINATION- 

-SAME  NAME  AS— IvATITUDE. 

l.atixi;de  51°. 

liATITUDE  5 

Hour  An 

gle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

b. 

m. 

o  » 

0  / 

0  / 

0  1 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

b.    m. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

t8o  00 

0    00 

lO 

174  59 

174  51 

174  41 

174  32 

174  21 

174  II 

173  58 

173  45 

173  31 

173  14 

172  56 

172  36 

10 

20 

170  00 

169  43 

169  26 

169  07 

168  48 

168  25 

168  02 

167  35 

167  07 

16635. 

166  00 

165  2i! 

20 

30 

165  06 

164  42 

164  16 

163  49 

163  20 

162  48 

162  13 

161  36 

160  55 

160  09 

159  20 

158  25 

30 

40 

160  18 

159  48 

159  15 

15839 

158  oj 

157  22 

156  39 

155  51 

154  59 

154  02 

153  00 

151  52 

40 

50 

155  40 

155  04 

154  24 

153  42 

152  58 

152  10 

151  19 

150  23 

149  21 

148  16 

147  04 

145  46 

50 

1 

OO 

151  II 

150  30 

149  45 

148  58 

148  07 

147  12 

146  T5 

145  12 

144  06 

142  54 

141  35 

140  09 

1     00 

lO 

146  53 

146  07 

145  18 

144  26 

143  31 

142  28 

141  29 

140  22 

139  10 

137  53 

13629 

134  59 

10 

ao 

142  46 

141  57 

141  04 

140  09 

139  10 

138  07 

137  01 

135  50 

134  35 

133  15 

131  48 

130  16 

20 

30 

138  50 

13758 

137  02 

136  04 

135  04 

133  58 

132  49 

131  36 

130  18 

128  56 

127  29 

125  56 

30  ; 

40 

135  06 

134  12 

133  14 

132  14 

131  11 

13003 

128  54 

127  40 

126  21 

12458 

123  30 

121  58 

40  i 

50 

131  32 

130  37 

129  38 

ftS  36 

127  33 

126  24 

125  13 

123  59 

122  40 

121  17 

"9  51 

118  19 

50 

2 

OO 

128  09 

127  12 

126  12 

125  10 

124  05 

122  57 

121  46 

120  32 

119  14 

117  52 

116  26 

114  56 

2    00 

lO 

124  54 

12358 

122  58 

121  56 

120  50 

118  32 

117  18 

1x6  00 

114  40 

"3  15 

in  48 

10 

20 

121  51 

120  54 

H9  53 

118  51 

117  46 

no  38 

115  28 

114  15 

112  59 

III  41 

no  18 

108  52 

20 

30 

"8  55 

"7  58 

"6  57 

"5  56 

114  51 

113  44 

"2  35 

III  24 

no  09 

108  51 

107  31 

106  08 

30 

40 

116  07 

"5  09 

114  10 

113  08 

112  04 

no  58 

109  51 

108  40 

107  26 

106  n 

104  53 

103  32 

40 

50 

113  26 

112  29 

III  30 

no  29 

109  26 

108  21 

107  15 

106  06 

104  53 

103  39 

102  23 

101  05 

50 

3 

OO 

no  51 

109  55 

10856 

107  57 

106  55 

105  50 

104  45 

103  38 

102  28 

lOI  16 

100  02 

98  46 

3    00 

lO 

108  22 

107-27 

106  29 

105  27 

104  29 

103  27 

102  22 

loi  16 

100  08 

9858 

97  46 

96  32 

10 

20 

105  59 

105  04 

104  07 

103  09 

102  09 

101  07 

100  05 

99  01 

97  53 

96  45 

95  36 

94  24 

20 

30 

103  40 

102  46 

loi  50 

100  53 

99  54 

9854 

97  53 

96  50 

95  44 

9438 

93  30 

92  20 

30 

40 

loi  25 

100  32 

99  39 

98  41 

97  44 

96  44 

95  45 

94  44 

93  39 

92  35 

91  29 

90  22 

40 

50 

99  15 

98  22 

97  28 

96  33 

95  37 

94  39 

93  41 

92  41 

91  39 

90  36 

89  31 

88  26 

50 

4 

OO 

9708 

96  17 

95  24 

94  30 

93  35 

92  37 

91  41 

90  42 

8941 

88  40 

8738 

8634 

4    00 

lO 

95  04 

94  13 

93  21 

92  27 

91  34 
8937 

9038 

89  43 

88  45 

87  46 

8647 

S546 

84  44 

10 

20 

93  02 

92  12 

91  22 
89  25 

90  30 

88  42 

87  48 

86  51 

8555 

8456 

8357 

82  57 

20 

30 

91  04 

90  15 

88  33 

87  42 

86  48 

85  55 

85  00 

8404 

8308 

82  10 

81  n 

30 

40 

89  08 

88  19 

87  30 

86  40 

85  49 

8457 

8405 

83  12 

82  16 

81  21 

8025 

79  28 

40 

50 

87  13 

86  26 

8537 

84  48 

8358 

8307 

82  16 

,8i  23 

80  31 

79  36 

7842 

77  46 

SO 

5 

OO 

85  19 

84  33 

83  45 

8256 

82  08 

81  18 

80  29 

79  37 

78  45 

77  52 

76  59 

76  05 

6     00 

lO 

83  27 

82  42 

81  57 

81  07 

80  20 

79  30 

7842 

77  52 

77  01 

76  10 

75  18 

74  24 

10 

20 

81  36 

8054 

8006 

79  19 

7833 

77  45 

7656 

76  08 

75  18 

74  28 

73  37 

72  46 

20 

30 

79  47 

79  03 

78  17 

77  32 

7646 

75  59 

75  12 

74  25 

73  35 

72  47 

71  58 

71  09 

30 

40 

77  57 

77  14 

76  30 

75  45 

75  00 

74  14 

73  28 

72  42 

71  54 

71  06 

70  17 

69  29 

40 

50 

76  09 

75  26 

74  43 

73  59 

73  15 

72  30 

71  45 

71  00 

70  13 

69  26 

6839 

67  51 

50 

6 

OO 

74  21 

73  39 

7257 

72  14 

71  30 

70  46 

70  03 

69  17 

6832 

6746 

67  GO 

66. 14 

6    00 

lO 

72  33 

71  51 

71  10 

70  27 

6946 

69  02 

68  19 

6735 

6651 

66  06 

65  21 

6436 

10 

20 

70  45 

70  05 

69  24 

68  43 

68  00 

67  18 

6636 

65  53 

65  10 

64  27 

63  43 

62  59 

20 

30 

6857 

68  17 

67  37 

66  56 

66  16 

65  34 

64  53 

64  12 

63  29 

62  47 

62  03 

61  21 

30  i 

40 

67  08 

66  29 

65  50 

65  10 

64  31 

63  50 

63  10 

62  30 

61  47 

61  06 

60  24 

59  41 

40  i 

50 

65  20 

64  41 

64  03 

63  24 

62  45 

62  05 

6i  26 

60  47 

60  06 

59  25 

5844 

58  03 

50 

7 

OO 

63  30 

62  53 

62  16 

61  37 

60  59 

60  20 

59  42 

59  04 

58  24 

57  44 

57  04 

56  24 

7     00 

lO 

61  40 

61  04 

60  27 

59  50 

59  13 

5835 

5758 

57  20 

56  41 

56  02 

55  24 

54  45 

10 

20 

59  50 

59  14 

5838 

58  02 

57  25 

56  49 

56  13 

55  35 

54  57 

54  20 

53  41 

53  04 

20 

30 

57  59 

57  24 

56  49 

56  13 

55  38 

55  01 

54  26 

53  50 

53  13 

52  36 

52  00 

51  23 

30 

40 

56  07 

55  33 

54  59 

54  23 

53  49 

53  14 

52  39 

52  04 

51  28 

50  52 

50  17 

49  41 

fS 

50 

54  U 

53  41 

53  07 

52  33 

51  59 

51  25 

50  52 

50  17 

49  42 

49  08 

■48  33 

4758 

50 

8 

OO 

52  19 

51  47 

51  14 

52  4? 

5008 

49  35 

49  03 

48  29 

'^155 

47  22 

46  48 

46  14 

8     00 

lO 

50  24 

49.52 

49  21 

48  48 

48  16 

47  44 

47  12 

46  41 

4608 

45  35 

45  03 

44  31 

10 

20 

48  28 

47  56 

47  26 

46  55 

46  24 

45  52 

45  22 

44  51 

44  18 

43  47 

43  17 

42  45 

20 

30 

46  29 

45  59 

45  29 

44  59 

44  30 

43  59 

43  29 

42  59 

42  29 

41  59 

41  29 

40  58 

30 

* 

40 

44  30 

44  01 

43  32 

43  03 

42  34 

42  05 

41  37 

41  07 

40  38 

4008 

39  39 

39  10 

40 

50 

42  29 

42  01 

41  33 

41  05 

40  37 

40  09 

.  39  42 

39  14 

3845 

38  17 

37  50 

37  22 

50 

9 

OO 

40  26 

40  00 

39  33 

39  06 

3839 

38  12 

37  46 

37  20 

36  52 

36  25 

35  59 

35  31 

9     00 

lO 

3823 

37  57 

37  31 

37  05 

36  40 

36  14 

35  48 

35  24 

34  58 

34  32 

3406 

33  41 

10 

20 

36  18 

35  53 

35  28 

35  04 

34  39 

34  15 

33  51 

33  26 

33  02 

32  38 

32  13 

31  49 

20 

30 

34  10 

33  47 

33  24 

33  00 

3238 

32  14 

31  51 

31  28 

31  05 

30  42 

30  19 

2956 

30 

40 

32  02 

31  40 

31  18 

30  55 

30  34 

30  12 

29  50 

29  29 

29  06 

28  45 

28  23 

28  02 

40 

50 

29  52 

29  31 

29  11 

28  50 

28  29 

28  09 

27  49 

27  28 

27  07 

2648 

26  27 

26  07 

50 

lO 

OO 

27  41 

27  21 

27  02 

26  43 

26  24 

26  04 

25  45 

25  27 

25  08 

24  49 

2430 

24  II 

10     00 

lO 

25  28 

25  to 

24  52 

24  34 

24  16 

23  58 

.23  41 

23  23 

23  06 

22  49 

22  32 

22  14 

10 

20 

23  14 

22  57 

22  42 

22  25 

22  09 

21  52 

21  37 

21  20 

21  04 

20  47 

20  32 

20  16 

20 

30 

20  59 

20  45 

20  29 

20  14 

19  59 

19  44 

19  30 

19  15 

19  01 

18  46 

18  31 

18  17 

30 

40 

18  42 

18  29 

18  16 

18  02 

17  49 

17  35 

17  22 

17  09 

16  55 

16  42 

16  29 

16  17 

40 

50 

16  25 

16  12 

16  00 

1548 

15  37 

15  26 

15  14 

15  03 

14  50 

14  39 

14  28 

14  17 

50 

11 

OO 

14  06 

13  55 

13  45 

13  35 

13  25 

13  15 

13  04 

12  55 

12  45 

12  35 

12  25 

12  15 

11     00 

lO 

II  46 

11  37 

II  29 

II  21 

II  13 

II  04 

10  55 

10  47 

10  38 

10  30 

10  22 

10  14 

10 

20 

9  25 

9  19 

9  12 

9  05 

859 

852 

8  45 

8  38 

831 

8  25 

8  18 

8  II 

20 

30 

7  05 

6  59 

6  54 

6  49 

6  44 

6  39 

6  34 

629 

6  24 

6  19 

6  14 

6  09 

30 

40 

4  43 

4  40 

4  37 

4  33 

4  30 

4  26 

4  23 

4  20 

4  16 

4  13 

4  09 

4  06 

40 

50 

2  22 

2  20 

2  19 

2  17 

2  15 

2  14 

2  12 

2  10 

2  09 

2  07 

2  05 

2  03 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

IS       00 

In  North  latitude,  when  the  star  is  risini^  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


41224°— 16- 


-14 


210 


AZIMUTH    OR    TRUE    BEARING. 


LATITUDK  51°. 

DECUNATION- 

-SAME  NAME  AS— LATITUDE. 

I^ATITIJDE  51°. 

Hour  Angle. 

360 

37° 

38° 

3»° 

40° 

41° 

42° 

43° 

1 
44° 

450 

46° 

47° 

Hour  Angle. 

li.    m. 

0  ' 

0  ' 

0  1 

0  / 

0  f 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

b.    m. 

O     OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

172  13 

171  48 

171  17 

170  43 

170  02 

169  14 

168  15 

167  02 

165  30 

163  29 

160  44 

156  45 

10 

20 

164  38 

163  48 

162  51 

161  46 

160  30 

159  01 

157  13 

155  03 

152  22 

14858 

144  35 

138  44 

20 

30 

157  23 

156  13 

154  55 

153  25 

151  43 

149  42 

147  22 

.144  36 

141  17 

137  14 

132  19 

126  14 

30 

40 

150  35 

149  11 

147  36 

145  49 

143  48 

141  29 

138  50 

135  47 

132  13 

128  04 

123  12 

"7  31 

40 

50 

144  19 

142  44 

140  59 

139  01 

136  49 

134  22 

131  35 

128  27 

124  55 

120  52 

116  18 

III  II 

50 

1     00 

13836 

13653 

135  02 

132  58 

130  42 

128  II 

125  25 

122  20 

118  55 

115  07 

no  56 

106  19 

1    00 

10 

133  21 

131  35 

129  41 

127  35 

125  19 

122  50 

120  08 

117  IW 

113  56 

no  24 

106  34 

102  26 

10 

20 

128  36 

126  49 

124  55 

122  49 

120  36 

118  II 

"5  34 

"2  45 

109  43 

106  26 

102  56 

99  12 

20 

30 

124  16 

122  29 

120  36 

118  34 

116  23 

114  03 

"I  35 

108  55 

106  04 

103  03 

99  50 

96  25 

30 

40 

120  18 

118  34 

116  43 

114  44 

112  38 

no  24 

108  02 

105  32 

102  5« 

100  04 

97  06 

94  00 

40 

50 

116  42 

114  59 

113  II 

III  16 

109  15 

107  08 

104  53 

102  31 

100  OI 

97  25 

94  39 

91  48 

50 

2     00 

113  21 

III  41 

109  57 

108  06 

106  10 

104  08 

102  00 

99  46 

97  26 

94  59 

92  26 

8947 

2    00 

10 

no  15 

108  38 

10658 

105  10 

103  20 

loi  24 

99  23 

97  16 

95  04 

92  47 

90  24 

^2^6 

10 

20 

107  22 

105  48 

104  12 

102  29 

100  43 

9852 

96  57 

94  57 

92  53 

90  44 

88  30 

86  n 

20 

30 

104  39 

103  09 

101  36 

9958 

9816 

96  30 

94  42 

92  4.7 

90  50 

8848 

86  41 

8431 

30 

40 

102  07 

100  40 

99  09 

97  35 

95  58 

94  17. 

92  33 

9045 

88  54 

8659 

84  59 

82  57 

40 

50 

99  44 

98  19 

96  52 

95  22 

93  48 

92  12 

90  32 

88  49 

87  04 

85  14 

83  21 

81  25 

50 

3     00 

97  26 

96  05 

94  41 

93  13 

%t 

90  12 

8837 

8658 

85  17 

83  34 

81  47 

79  57 

3     00 

10 

95  15 

93  56 

92  35 

91  10 

88  17 

86  46 

85  12 

8336 

81  57 

80  15 

78  31 

10 

20 

93  10 

91  54 

90  35 

89  14 

8752 

86  27 

8459 

83  29 

81  58 

80  23 

78  46 

77  06 

20 

30 

91  09 
89  12 

89  54 

88  40 

87  21 

86  02 

84  40 

83  17 

81  51 

80  22 

78  52 

77  19 

75  43 

30 

40 

88  00 

8647 

85  32 

84  15 

82  57 

8136 

80  14 

78  49 

77  22 

75  53 

74  22 

40 

50 

87  18 

S6  09 

8458 

8345 

82  32 

81  16 

79  58 

78  39 

77  17 

75  54 

74  29 

73  01 

50 

4     00 

8529 

84  21 

83  13 

82  03 

8051 

7938 

78  23 

77  06 

75  49 

74  28 

73  06 

71  43 

4     00 

10 

83  40 

82  35 

81  29 

80  21 

79  12 

78  01 

7649 

75  35 

74  .19 

73  03 

71  43 

70  24 

10 

20 

81  54 

80  51 

79  47 

78  42 

77-35 

76  26 

75  17. 

74  05 

72  52 

71  38 

70  22 

69  04 

20 

30 

80  11 

79  10 

78  08 

77  03 

75  59 

74  52 

73  45 

72  36 

71  26 

T.   ^5 

69  00 

6746 

30 

40 

78  30 

77  30 

76  29 

75  27 

74  25 

73  20 

72  15 

71  09 

70  00 

68  52 

67  40 

66  29 

40 

SO 

76  48 

75  51 

74  52 

73  52 

725? 

71  49 

70  45 

69  41 

68  36 

67  28 

66  20 

65  10 

50 

5     00 

75  09 

74  13 

73  15 

72  17 

71  18 

■70  17 

69  16 

68  14 

67  10 

66  05 

64  59 

63  52 

5     00 

10 

73  30 

72  36 

71  40 

70  43 

6946 

6847 

67  48 

66  48 

65  45 

64  43 

63  39 

62  35 

10 

20 

71  53 
70  16 

71  00 

70  06 

69  10 

68  14 

67  17 

66  20 

65  21 

64  22 

63  21 

62  19 

61  16 

20 

30 

69  24 

68  31 

67  37 

6643 

65  47 

64  51 

63  55 

62  57 

61  58 

60  58 

59  57 

30 

40 

6838 

67  48 

6657 

6605 

65  12 

64  18 

63  23 

62  28 

61  32 

60  35 

5936 

5838 

40 

50 

67  03 

66  13 

65  23 

64  33 

63  41 

62  49 

61  56 

61  03 

60  08 

59  12 

58  16 

57  19 

50 

6     00 

65  26 

64  38 

63  49 

62  59 

62  10 

61  19 

60  28 

59  35 

58  43 

57  49 

56  54 

55  59 

6     00 

10 

63  51 

63  03 

62  15 

61  27 

6038 

59  49 
58  19 

5859 

58  09 

57  18 

56  25 

55  32. 

54  39 

10 

20 

62  13 

61  27 

60  42 

59  55 

5908 

57  31 

56  41 

55  52 

55  01 

54  10 

53  17 

20 

30 

60  36 

59  52 

59  07 

58  21 

57  35 

5649 

56  02 

55  14 

54  26 

53  36 

52  46 

51  56 

30 

40 

5859 

58  15 

57  32 

56  47 

56  03 

55  18 

54  32 

53  45 

52  59 

52  n 

51  23 

50  34 

40 

50 

57  21 

56  40 

55  57 

55  14 

54  31 

53  46 

53  02 

.52  17 

51  32 

50  46 

49  58 

49  II 

60 

7     00 

55  44 

55  02 

54  21 

53  39 

52  57 

52  14 

51  31 

50  47 

50  04 

49  19 

4833 

47  47 

7     00 

10 

54  06 

53  25 

52  44 

52  04 

51  23 

50  41 

50  00 

49  17 

48  34 

47  51 

47  08 

46  23 

10 

20 

52  26 

51  47 

51  08 

50  29 

4948 

49  08 

48  28 

47  47 

47  05 

46  23 

45  41 

44  58 

20 

30 

50  45 

50  08 

49  30 

4851 

48  13 

47  33 

46  55 

46  16 

45  35 

44  55 

44  14 

43  32 

30 

40 

49  05 

48  29 

47  52 

47  15 

46  38 

45  59 

45  21 

44  43 

44  05 

43  25 

42  45 

42  06 

40 
50 

50 

47  24 

46  48 

46  12 

45  37 

45  01 

44  23 

43  47 

43  10 

42  33 

41  55 

41  16 

40  38 

8     00 

45  41 

45  06 

44  32 

43  57 

43  23 

42  47 

42  12 

41  36 

41  00 

40  23 

3f '♦I 

39  10 

8     00 

10 

43  57 

43  25 

42  51 

•42  17 

41  44 

41  09 

40  36 

40  02 

39  27 

38  51 

38  16 

37  40 

10 

20 

42  13 

41  41 

41  09 

40  37 

40  04 

39  31 

3859 

38  26 

37  53 

37  18 

36  44 

36  10 

•  20 
30, 
40 
50 

30 

40  27 

39  57 

39  26 

38  55 

3823 

37  52 

37  21 

36  49 

36  17 

35  45 

35  12 

34  39 

40 

3841 

38  12 

37  42 

37  13 

36  43 

36  12 

35  42 

35  II 

34  41 

34  09 

33  38 

33  07 

50 

36  54 

36  26 

35  57 

.35  28 

34  59 

34  31 

34  02 

33  33 

33  04 

32  35 

32  05 

31  34 

9     00 

35  05 

34  38 

34  II 

33  43 

33  16 

32  48 

32  21 

31  54 

31  26 

30  57 

30  29 

30  00 

9     00 
10 
20 

10 

33  15 

32  50 

32  24 

31  57 

31  32 

31  06 

30  39 

30  13 

29  47 
28  07 

29  20 

28  53 

28  26 

20 

31  25 

31  01 

30  36 

30  12 

29  47 

29  22 

28  58 

28  32 

27  42 

27  16 

26  51 

30 

29  34 

29  10 

28  47 

28  23 

28  00 

27  36 

27  14 

26  50 

26  26 

26  02 

25  39 

25  14 

30 

40 

27  40 

27  18 

26  57 

26  35 

26  13 

25  51 

25  29 

25  07 

24  45 

24  23 

23  59 

23  37 

40 
50 

50 

25  47 

25  27 

25  06 

24  45 

24  25 

2405 

23  44 

23  23 

23  03 

22  41 

22  21 

21  59 

10     00 

23  52 

23  33 

23  14 

22  55 

22  36 

22  18 

21  58 

21  39 

21  20 

21  00 

20  41 

20  21 

10     00 
10 

10 

21  56 

21  38 

21  21 

21  03 

20  46 

20  28 

20  II 

19  53 

19  36 

19  18 

18  59 

18  42 

20 

20  00 

19  44 

19  28 

19  12 

1856 

18  40 

18  24 

18  08 

17  52 

17  35 

17  18 

17  00 

20 
30 
40 
50 

30 

18  02 

17  48 

17  34 

17  19 

17  04 

16  50 

16  35 

16  21 

16  06 

15  51 

15  37 

15  21 

40 

16  04 

15  51 

15  38 

15  26 

15  13 

14  59 

14  46 

14  33 

14  21 

14  07 

i:^  53 

13  40 

50 

14  05 

13  54 

13  42 

13  31 

13  19 

13  08 

12  57 

12  46 

12  34 

12  23 

12  n 

II  59 

11     00 

12  05 

II  56 

II  46 

11  36 

11  27 

II  17 

II  07 

10  57 

10  47 

10  38 

10  28 

10  17 

11  00 
10 
20 
30 
40 
50 

12  00 

10 

10  06 

958 

9  49 

9  41 

9  32 

9  24 

9  17 

9  09 

9  00 

^51 

8  44 

6  53 

20 

8  05 

7  59 

7  52 

7  45 

7  39 

7  32 

7  25 

7  19 

7  12 

7  06 

6  59 

30 

6  05 

5  59 

554 

5  50 

5  45 

5  39 

5  34 

5  29 

5  24 

5  20 

5  15 

3  26 

40 

4  03 

3  59 

356 

3  53 

3  50 

3  47 

3  43 

3  39 

3  37 

3  33 

3  30 

50 

2  02 

2  00 

158 

I  56 

I  55 

I  53 

I  52 

I  50 

I  49 

I  47 

I  45 

I  43 

12     00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latltnds,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


211 


AZIMUTH  OR  TRUE  BEARING. 


I^ATIXUDE  5 

1°. 

DECLINATION- 

SAME  NAME  AS— LATITUDE. 

LATITUDE  51°. 

Hoar  Angle. 

48° 

4»° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

• 

Hour  Angle. 

b. 

in. 

O   / 

0  1 

0  1 

0  / 

0  t 

0  / 

0  / 

0  / 

0  / 

0  t 

0  / 

0  / 

b.    m. 

0 

OO 

i8o  OO 

180  00 

18a  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

150  37 

140  15 
119  58 

121  II 

8g  02 

56  18 

3636 

25  54 

19  37 

15  34 

12  45 

10  43 

9  08 

10 

20 

130  49 

105  31 

88  03 

70  15 

55  02 

43  27 

34  59 

28  45 

24  06 

20  31 

17  42 

20 

30 

118  45 

109  37 

98  55 

!l°5 

75  00 

76  59 

5§  39 

53  45 

45  30 

3846 

33  19 

28  52 

25  14 

30 

40 

no  56 

103  24 

95  03 

86  07 

68  06 

59  52 

52  28 

46  00 

40  27 

35  41 

31  37 

40 

50 

105  26 

99  07 

92  18 

85  08 

77  48 

70  33 

63.36 

57  06 

51  10 

45  49 

41  04 

36  52 

SO 

1 

OO 

loi  i8 

95  53 

90  09 

84  10 

78  02 

71  56 

65  57 

60  14 

54  50 

49  50 

45  15 

41  06 

1     00 

lO 

98  00 

93  16 

88  20 

S3  II 

7756 

72  39 

67  25 

62  20 

57  28 

52  51 

4831 

44  29 

10 

20 

95  15 

91  03 

86  42 

82  12 

77  36 

72  57 

68  20 

63  47 

59  21 

55  04 

51  01 

47  10 

20 

30 

92  51 

89  06 

85  13 

81  13 

77  07 

.72  58 

68  50 

64  43 

60  40 

56  44 

52  56 

49  17 

30 

40 

90  44 

87  20 

8350 

80  13 

76  32 

7248 

69  02 

65  18 

61  35 

57  56 

54  23 

50  56 

40 

50 

88  49. 

8543 

82  32 

79  14 

75  53 

72  28 

69  03 

6536 

62  II 

5847 

55  28 

52  12 

SO 

2 

OO 

87  02 

84  II 

81  15 

78  14 

75  10 

72  02 

6853 

65  42 

62  32 

59  22 

56  15 

53  10 

2     00 

lO 

85  22 

82  44 

80  01 

77  14 

74  24 

71  31 

6835 

6538 

62  41 

59  44 

5648 

53  53 

10 

20 

8348 

81  20 

78  50 

76  14 

73  35 

70  55 

68  II 

65  27 

62  40 

59  54 

57  09 

54  23 

20 

30 

82  18 

79  59 

7738 

75  13 

72  45 

70  15 

67  42 

65  07 

62  32 

59  55 

57  19 

54  42 

30 

40 

80  51 

78  41 

7629 

74  12 

71  54 

67  09 

64  44 

62  18 

59  49 

57  21 

54  52 

40 

50 

79  27 

77  24 

75  19 

73  " 

71  00 

68  48 

66  32 

64  15 

61  57 

59  37 

57  16 

54  55 

SO 

3 

OO 

78  05 

76  09 

74  " 

72  09 

70  07 

68  00 

65  52 

63  43 

61  31 

59  19 

57  06 

54  51 

3     00 

lO 

76  44 

74  54 

73  02 

71  07 

69  10 

67  II 

65  10 

63  08 

61  02 

58  57 

%t 

54  41 

10 

20 

75  24 

7338 

71  54 

70  05 

68  14 

66  20 

64  25 

62  29 

60  30 

58  29 

54  26 

20 

30 

74  06 

72  27 

70  46 

69  02 

67  16 

65  29 

63  39 

61  47 

59  54 

57  59 

56  03 

54  06 

30 

40 

72  50 

71  14 

6938 

6758 

66  17 

64  35 

62  50 

6t  04 

59  15 

57  26 

55  35 

53  42 

40 

50 

71  33 

70  02 

68  29 

6654 

65  18 

63  39 

62  00 

60  18 

58  34 

56  49 

55  02 

53  15 

SO 

4 

OO 

70  17 

6850 

67  21 

65  50 

64  18 

62  43 

61  07 

59  30 

57  51 

56  10 

5428 

52  45 

4     00 

lO 

69  01 

6738 

66  12 

64  45 

63  17 

61  45 

60  14 

58  41 

57  05 

5528 

53  50 

52  10 

10 

20 

67  46 

66  25 

6503 

63  40 

62  14 

60  47 

59  19 

57  49 

56  18 

54  45 

53  II 

51  34 

20 

30 

66  31 

65  13 

63  55 

62  33 

61  12 

5948 

5656 

55  28 

53  59 

52  29 

50  56 

30 

40 

65  16 

64  00 

62  44 

61  27 

60  08 

5848 

57  2S 

56  02 

54  37 

53  II 

51  44 

50  15 

40 

50 

64  00 

62  47 

61  34 

60  20 

59  03 

57  46 

56  27 

55  07 

53  45 

52  21 

50  57 

49  32 

SO 

5 

OO 

62  45 

61  35 

60  23 

59  II 

57  58 

56  43 

55  28 

54  10 

52  51 

51  31 

50  09 

48  47 

5     00 

lO 

61  29 

60  21 

59  13 

58  03 

56  52 

55  40 

54  26 

53  12 

51  56 

5038 

^^ 

47  59 

10 

20 

60  12 

59  07 

58  01 

56  54 

55  45 

54  35 

53  25 

52  12 

50  59 

49  44. 

47  II 

20 

30 

5856 

57  53 

56  49 

55  43 

54  37 

53  30 

52  22 

51  12 

50  00 

48  48 

47  35 

46  21 

30 

40 

57  39 

56  37 

55  35 

54  33 

53  29 

52  24 

51  17 

50  10 

49  01 

47  51 

46  41 

45  28 

40 

50 

56  2 

55  21 

54  22 

53  21 

52  20 

51  16 

50  13 

49  07 

48  01 

46  53 

45  45 

44  36 

50 

6 

OO 

55  04 

54  05 

5308 

52  09 

51  09 

50  08 

49  06 

4803 

4659 

45  54 

44  48 

43  40 

6     00 

lO 

53  45 

52  48 

51  53 

50  56 

49  58 

4859 

47  59 

4658 

45  56 

44  53 

43  49 

42  44 

10 

20 

S2  26 

51  32 

50  37 

49  42 

48.46 

47  49 

46  52 

45  52 

44  52 

43  51 

42  50 

41  46 

20 

30 

51  05 

50  13 

49  20 

4827 

47  33 

46  37 

45  41 

44  45 

43  47 

42  48 

41  49 

40  48 

30 

40 

49  45 

48  54 

48  03 

47  12 

46  19 

45  26 

44  32 

43  37 

42  41 

41  44 

40  47 

39  47 

40 

50 

48  24 

47  35 

4646 

45  55 

45  05 

44  13 

43  21 

42  28 

41  34 

40  39 

39  43 

3845 

SO 

7 

OO 

47  01 

46  14 

45  27 

44  38 

43  49 

43  00 

42  09 

41  17 

40  24 

39  32 

3838 

37  43 

7     00 

lO 

45  39 

44  52 

44  07 

43  20 

42  33 

41  45 

40  56 

40  06 

39  15 

38  25 

37  3.3 

36  39 

10 

20 

44  15 

43  30 

42  46 

42  01 

41  15 

40  29 

39  42 

38  54 

3805 

37  16 

36  26 

35  35 

20 

30 

42  51 

42  07 

41  25 

40  41 

3958 

39  12 

38  27 

37  41 

36  54 

36  07 

35  18 

34  29 

30 

40 

41  25 

40  43 

40  03 

39  21 

3838 

37  55 

37  II 

36  27 

35  42 

34  56 

34  10 

33  22 

40 

50 

39  59 

39  20 

3840 

37  59 

37  19 

36  37 

35  54 

35  12 

34  28 

33  44 

33  00 

32  15 

SO 

K 

OO 

38  32 

37  54 

37  15 

3636 

35  57 

35  17 

34  37 

33  56 

33  14 

32  31 

31  49 

31  05 

8     00 

lO 

37  04 

3627 

35  51 

35  13 

34  36 

33  57 

33  19 

32  39 

31  59 

31  18 

3038 

29  56 

10 

20 

35  36 

35  00 

34  25 

33  49 

33  13 

32  36 

31  59' 

31  21 

30  43 

30  04 

29  25 

28  45 

20 

30 

34  06 

33  32 

3258 

32  24 

31  49 

31  14 

30  38 

30  03 

29  26 

28  49 

28  12 

27  33 

30 

40 

32  36 

32  03 

31  31 

30  53 

30  26 

^  51 

29  17 

28  43 

28  08 

27  33 

26  57 

26  21 

40 

50 

31  04 

30  33 

30  03 

29  31 

29  00 

28  28 

27  55 

27  22 

26  49 

26  15 

25  42 

25  07 

50 

» 

OO 

29  31 

29  02 

28  34 

28  03 

27  34 

27  03 

26  33 

26  01 

25  30 

2458 

24  25 

23  53 

9     00 

lO 

27  59 

27  30 

27  03 

26  35 

26  06 

25  38 

25  09 

24  40 

24  10 

23  39 

23  09 

22  38 

10 

20 

26  25 

2558 

25  32 

25  06 

24  40 

24  12 

23  44 

23  17 

22  49 

22  21 

21  52 

21  22 

20 

30 

24  50 

24  26 

24  01 

23  36 

23  II 

22  45 

22  20 

21  53 

21  27 

21  00 

20  33 

20  05 

30 

40 

23  15 

22  52 

22  29 

22  05 

21  42 

21  17 

20  53 

20  29 

20  05 

19  40 

19  14 

1848 

40 

50 

21  38 

21  17 

20  56 

20  34 

20  12 

19  50 

19  27 

1904 

18  42 

18  18 

17  55 

17  30 

SO 

lO 

OO 

20  02 

19  41 

19  22 

19  02 

18  41 

18  21 

18  00 

17  39 

17  17* 

1656 

16  34 

16  12 

10    00 

10 

18  24 

18  06 

17  48 

17  29 

17  10 

16  51 

16  32 

16  12 

15  52 

15  33 

15  13 

14  .53 

10 

20 

16  46 

16  29 

16  12 

15  55 

15  38 

15  21 

15  04 

14  46 

14  28 

14  II 

13  52 

13  33 

20 

30 

15  08 

14  52 

14  36 

14  21 

14  05 

13  51 

13  35" 

13  19 

13  03 

12  47 

12  30 

12  14 

30 

40 

13  27 

13-13 

13  00 

12  47 

12  33 

12  20 

12  06 

II  52 

II  38 

II  23 

II  08 

1053 

40 

50 

II  48 

"  35 

II  24 

II  12 

II  01 

10  48 

10  36 

10  23 

10  II 

9  58 

9  45 

9  33 

SO 

11 

OO 

10  07 

9  57 

9  47 
8  10 

9  37 

9  27 

9  16 

9  06 

8  55 

844 

834 

-  8  22 

8  II 

11   00 

lO 

827 

818 

8  01 

7  53 

7  44 

7  35 

7  26 

7  17 

708 

6  59 

6  50 

10 

20 

6  46 

6  39 

-632 

625 

6  19 

6  II 

6  05 

558 

5  50 

5  43 

5  35 

528 

20 

30 

5  05 

4  59 

4  54 

4  49 

4  44 

4  39 

4  33 

4  28 

4  22 

4  17 

4  '^l 

4  07 

30 

40 

3  23 

3  20 

3  16 

3  13 

3  10 

306 

3  0^ 

2  59 

2  55 

252 

248 

2  45 

40 

50 

I  42 

1  40 

138 

1  37 

I  35 

I  33 

1  32 

I  30 

I  28 

I  26 

I  24 

I  22 

so 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  op 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  def  lination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


212 


AZIMUTH   OR  TRUE    BEARING. 


1.ATITUDE  51°. 

DECUNATION— SAME  NAME  AS— 

LATITUDE. 

LATITUDE  51°. 

Hour  Angle. 

60° 

61° 

6a° 

63° 

64° 

65° 

66» 

67° 

68° 

69° 

70° 

Hour  Angle. 

li. 

ni. 

o  t 

0  / 

0  / 

0  / 

0  ' 

0  ' 

0  / 

0  / 

0  / 

0  . 

0  / 

Ii.    ni. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

7  55 

656 

6  07 

526 

4  51 

4  21 

3  55 

3  32 

3  12 

2  53 

2  37 

10 

ao 

15  26 

13  34 

12  01 

10  42 

9  35 

837 

7  46 

7  01 

6  21 

546 

5  13 

20 

30 

22  13 

19  42 

17  33 

15.41 

14  06 

12  42 

II  28 

10  23 

9  25 

8  33 

7  45 

30 

40 

28  09 

25  09 

22  33 

20  18 

18  18 

16  33 

15  00 

13  36 

12  21 

II  15 

10  13 

40 

50 

33  10 

29  53 

26  59 

24  26 

22  09 

20  07 

18  17 

16  39 

15  10 

13  49 

12  35 

50 

1 

OO 

37  19 

33  56 

30  52 

28  07 

25  37 

23  22 

21  19 

19  28 

17  48 

16  14 

14  49 

1     00 

lO 

40  46 

37  21 

34  12 

31  20 

28  42 

26  19 

24  06 

22  05 

20  14 

18  31 

1656 

10 

20 

43  33 

40  II 

37  02 

34  08 

31  24 

28  54 

2636 

24  26 

22  28 

20  37 

18  54 

20 

30 

45  49 

42  31 

39  25 

36  31 

33  46 

31  12 

28  50 

26  35 

24  30 

22  33 

20  44 

30 

40 

47  37 

44  27 

41  25 

38  32 

35  48 

33  13 

•30  47 

28  30 

26  21 

24  18 

22  25 

40 

50 

49  03 

45  59 

43  03 

40  13 

37  32 

34  58 

32  31 

30  12 

28  00 

25  55 

23  57 

50 

2 

OO 

50  II 

47  15 

44  24 

41  40 

39  00 

36  28 

34  02 

31  41 

29  29 

27  22 

25  20 

2     00 

lO 

51  02 

48  14 

45  30 

42  49 

40  T4 

37  45 

35  20 

33  00 

30  47 

2839 

26  35 

10 

20 

51  41 

49  00 

46  21 

43  47 

41  16 

38  49 

36  27 

34  08 

31  55 

29  46 

27  42 

20 

30 

52  08 

49  33 

47  02 

44  33 

42  06 

39  43 

37  23 

35  06 

32  54 

30  46 

28  41 

30 

40 

52  26 

49  59 

47  33 

45  08 

42  46 

40  27 

38  10 

35  55 

33  44 

31  37 

29  34 

40 

50 

52  35 

50  14 

47  53 

45  35 

43  17 

41  02 

3848 

3636 

34  27 

32  21 

30  18 

50 

3 

OO 

52  37 

50  22 

48  07 

45  53 

'43  40 

41  20 
41  48 

39  18 

37  09 

35  03 

32  58 

30  56 

3     00 

lO 

52  33 

50  23 

48  14 

46  04 

43  56 

39  41 

37  36 

35  32 

33  29 

31  29 

10 

20 

52  22 

50  18 

48  15 

46  10 

44  05 

42  02 

3958 

37  55 

35  54 

33  55 

31  56 

20 

30 

52  08 

50  09 

48  09 

46  09 

44  09 

42  09 

40  09 

38  10 

36  II 

34  14 

32  17 

30 

40 

51  49 

49  54 

47  59 

46  04 

44  08 

42  II 

40  15 

38  19 

36  23 

34  28 

32  32 

40 

50 

51  26 

49  36 

47  45 

45  53 

44  01 

42  08 

40  15 

38  22 

36  30 

34  37 

32  45 

60 

4 

OO 

50  59 

49  ^4 

47  27 

45  40 

43  51 

42  02 

40  12 

38  22 

36  32 

34  42 

32  52 

4     00 

10 

50  31 

48  48 

47  05 

45  21 

43  36 

41  51 

40  04 

38  17 

36  30 

34  43 

32  55 

10 

20 

49  58 

48  19 

46  40 

44  59 

.43  18 

41  36 

39  52 

3809 

36  24 

34  40 

32  54 

20 

30 

49  22 

47  47 

46  12 

44  35 

42  57 

41  18 

39  37 

37  56 

36  15 

34  33 

32  49 

30 

40 

4845 

47  13 

45  40 

44  06 

42  32 

40  56 

39  19 

37  41 

36  02 

34  22 

32  42 

40 

50 

48  06 

46  36 

45  07 

43  36 

42  04 

40  31 

38  57 

37  22 

35  46 

34  10 

32  32 

50 

5 

OO 

47  23 

45  57 

44  31 

43  03 

41  34 

40  04 

38  33 

37  00 

35  27 

33  53 

32  18 

5     00 

10 

4638 

45  16 

43  54 

42  27 

41  01 

39  35 

38  06 

3636 

35  05 

33  34 

32  01 

10 

20 

45  53 

44  33 

43  12 

41  50 

40  27 

39  02 

37  36 

36  10 

34  42 

33  13 

31  42 

20 

30 

45  05 

43  47 

42  30 

41  10 

39  49 

38  28 

37  05 

35  40 

34  15 

32  48 

31  21 

30 

40 

44  15 

43  01 

41  45 

40  28 

39  10 

37  52 

3631 

35  09 

33  46 

32  22 

30  57 

40 

50 

43  25 

42  12 

40  59 

39  45 

38  29 

37  13 

35  54 

34  35 

33  16 

31  54 

30  31 

50 

6 

OO 

42  32 

41  23 

40  12 

3859 

37  47 

36  33 

35  16 

34  00 

32  42 

31  23 

30  02 

6     00 

lO 

41  38 

40  30 

39  22 
38  31 

38  12 

37  02 

35  50 

34  37 

33  23 

32  07 

30  51 

29  33 

10  . 

20 

40  43 

39  37 

37  25 

36  16 

35  07 

33  55 

32  43 

31  31 

30  16 

29  00 

20 

30 

3946 

38  43 

37  39 

S6  34 

35  28 

34  21 

33  13 

32  03 

30  51 

29  39 

28  26 

30 

40 

3848 

37  47 

36  46 

35  42 

34  38 

33  34 

32  28 

31  20 

30  12 

29  01 

27  50 

40 

60 

37  49 

36  49 

35  50 

34  50 

3348 

32  45 

31  41 

30  36 

29  30 

28  22 

27  14 

50 

7 

OO 

36  48 

35  51 

34  54 

33  55 

32  56 

31  55 

30  54 

29  50 

28  46 

27  42 

26  35 

7     00 

lO 

35  46 

34  51 

33  57 

32  59 

32  02 

31  04 

30  04 

29  04 

28  02 

26  59 

25  55 

10 

20 

34  44 

33  50 

32  57 

32  03 

31  07 

30  II 

29  14 

28  15 

27  16 

26  16 

25  14 

20 

30 

33  40 

32  48 

31  58 

31  05 

30  12 

29  18 

28  22 

27  26 

26  28 

25  30 

24  31 

30 

40 

32  34 

31  46 

30  56 

30  06 

29  15 

2S  23 

27  29 

26  35 

25  40 

24  44 

23  47 

40 

50 

31  29 

30  42 

29  54 

29  05 

28  17 

27  27 

26  36 

25  43 

24  51 

23  56 

23  01 

50 

8 

OO 

30  22 

29  37 

28  51 

28  05 

27  17 

26  29 

25  40 

24  50 

23  59 

23  08 

22  15 

8     00 

lO 

29  13 

28  31 

27  46 

27  02 

26  17 

25  31 

24  44 

23  56 

23  07 

22  i8 

21  27 

10 

ao 

28  04 

27  23 

26  41 

25  59 

25  16 

24  32 

23  46 

23  00 

22  15 

21  27 

20  38 

20 

30 

26  54 

26  15 

25  35 

-'4  55 

24  14 

23  32 

22  49 

22  05 

21  20 

20  35 

19  49 

30 

40 

25  44 

25  06 

24  27 

23  49 

23  II 

22  31 

21  49 

21  08 

20  26 

19  42 

1858 

40 

50 

24  33 

23  57 

23  21 

22  43 

22  06 

21  28 

20  50 

20  10 

19  30 

18  49 

18  07 

60 

9 

OO 

23  20 

22  46 

22  12 

21  36 

21  02 

20  26 

19  49 

19  II 

18  32 

17  54 

17  15 

9     00 

lO 

22  07 

21  35 

21  02 

20  29 

1956 

19  21 

18  47 

18  12 

17  35 

16  59 

16  21 

10 

20 

20  53 

20  22 

19  52 

19  21 

18  50 

18  18 

17  44 

17  11 

16  38 

16  03 

15  28 

20 

30 

1938 

19  09 

18  41 

18  II 

17  42 

17  12 

16  41 

16  10 

15  38 

15  06 

14  32 

30 

40 

18  23 

17  56 

17  29 

17  02 

16  35 

16  05 

1538 

15  09 

14  39 

14  09 

1338 

40 

50 

17  06 

16  42 

16  17 

15  52 

15  26 

15  00 

14  33 

14  07 

13  39 

13  10 

12  42 

50 

lO 

OO 

15  50 

15  27 

15  04 

14  41 

14  17 

13  53 

13  28 

13  03 

12  38 

12  13 

II  45 

10   00 

lO 

14  33 

14  12 

13  51 

13  30 

13  08 

12  46 

12  23 

12  00 

II  36 

II  13 

10  49 

10 

20 

13  15 

12  56 

12  38 

12  18 

II  58 

II  38 

II  17 

10  56 

10  35 

10  13 

9  51 

20 

30 

"  57 

II  40 

11  23 

II  05 

10  47 

10  30 

10  10 

9  52 

9  33 

9  13 

853 

30 

40 

10  38 

10  24 

10  08 

9  53 

936 

9  21 

9  04 

8  47 

8  31 

8  13 

7  55 

40 

50 

9  20 

9  06 

853 

8  39 

8  25 

8  II 

7  57 

7  42 

7  27 

7  12 

657 

50 

11 

OO 

8  00 

7  48 

7  37 

7  25 

7  14 

7  02 

6  49 

637 

6  24 

6  II 

5  57 

11     00 

lO 

6  41 

631 

6  22 

6  12 

6  02 

5  51 

5  41 

5  31 

5  20 

5  09 

458 

10 

20 

5  21 

5  13 

506 

4  57 

4  50 

4  42 

4  34 

4  25 

4  17 

4  08 

3  59 

20 

30 

4  01 

3  55 

3  49 

3  44 

338 

3  33 

3  26 

3  19 

3  12 

306 

2  59 

30 

40 

2  40 

2  37 

2  33 

2  29 

2  ?5 

2  21 

2  16 

2  12 

2  08 

2  04 

2  00 

40 

50 

1  21 

I  18 

I  17 

I  15 

I  12 

I  10 

I  08 

I  06 

I  04 

I  02 

I  00 

50 

12 

OO 

0  60 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  OO 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


213 


AZIMUTH  OR  TRUE  BEARING. 


liATITITDE  5 

2°. 

DECLINATION— 

SAME  NAME  AS— LATITUDE. 

i 
L,ATITin»E  52°. 

Hour  Angle. 

24° 

25° 

S«o 

aTo 

»8o 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

li.    m. 

o  t 

0  / 

0  ,\ 

0  t 

0  / 

0  / 

.    , 

0  / 

0  / 

0  / 

0  / 

0  / 

b.    m. 

O     OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

175  o8 

175  01 

174  53  1 

174  44 

174  35 

174  25 

174  14 

174  01 

173  49 

173  34 

173  17 

173  01 

10 

20 

170  19 

170  04 

169  48 

169  31 

169  13 

16854 

168  32 

168  09 

167  43 

167  15 

166  44 

165  10 

20 

30 

165  34 

165  13 

164  50 

164  24 

163  57 

163  29 

162  58 

162  23 

161  47 

161  07 

160  23 

159  33 

30 

40 

160  55 

160  27 

159  57 

159  24 

158  51 

158  14 

157  34 

156  51 

156  04 

155  13 

154  17 

153  17 

■  40 

50 

156  24 

15549 

155  14 

154  35 

153  54 

153  II 

152  24 

151  33 

150  38 

149  39 

148  33 

147  23 

50 

1     OO 

152  02 

151  22 

150  41 

149  58 

149  10 

148  22 

147  28 

146  31 

145  29 

144  24 

143  II 

141  54 

1     00 

lO 

147  49 

147  04 

146  19 

145  31 

144  39 

143  46 

142  48 

141  46 

140  40 

139  28 

138  12 

136  49 

10 

20 

143  45 

142  59 

142  09 

141 18 

140  22 

139  25 

138  23 

137  18 

136  08 

134  54 

133  33 

132  08 

20 

30 

139  52 

139  03 

138  II 

137 16 

136  19 

135  18 

134  14 

133  06 

131  53 

130  37 

129  16 

127  48 

30 

40 

136  lO 

135  18 

134  24 

133  27 

132  28 

131  26 

130  19 

129  09 

125  28 

127  56 

126  39 

125  16 

123  49 

40 

50 

13238 

131  45 

130  49 

129  51 

128  50 

127  46 

126  39 

124  15 

122  55 

121  35 

120  07 

50 

2     OO 

129  14 

128  20 

127  23 

126  24 

125  23 

124  19 

123  II 

122  00 

120  46 

119  29 

118  07 

116  41 

2    00 

10 

126  00 

125  06 

124  08 

123  09 

122  06 

121  03 

119  55 

118  44 

117  31 

116  15 

114  53 

113  29 

10 

20 

122  55 

122  00 

121  02 

120  03 

119  01 

117  37 

116  50 

115  39 

114  28 

113  12 

III  52 

no  29 

20 

30 

119  59 

119  03 

iiS  05 

117  06 

116  03 

115  00 

113  54 

112  45 

III  33 

no  19 

109  01 

107  40 

30 

40 

117  09 

116  13 

115  16 

114 17 

113  16 

112  12 

III  07 

109  58 

108  49 

107  36 

106  19 

105  01 

40 

50 

114  26 

"3  31 

112  34 

III  35 

no  35 

109  33 

108  28 

107  21 

106  12 

105  OI 

103-47 

102  30 

50 

3     OO 

III  50 

1 10  55 

109  58 

109  00 

108  00 

106  59 

105  56 

104  50 

103  43 

102  34 

loi  21 

100  07 

3    00 

lO 

109  18 

108  24 

107  28 

106  31 

105  32 

104  33 

103  30 

102  25 

loi  19 

100  12 

99  01 

97  49 

10 

ao 

106  53 

105  59 

105  04 

104  07 

103  10 

102  II 

loi  09 

100  06 

99  02 

97  56 

9647 

95  37 

20 

30 

104  32 

103  39 

102  45 

loi  49 

100  51 

99  54 

9853 

97  52 

96  50 

i^ 

94  39 

93  30 

30 

40 

102  15 

loi  23 

100  30 

99  35 

98  39 

97  42 

96  43 

95  43 

94  41 

92  34 

91  27 

40 

50 

100  02 

99  II 

98  18 

97  25 

96  29 

95  34 

94  36 

93  38 

92  37 

91  36 

90  33 

89  28 

50 

4     OO 

97  53 

97  03 

96  II 

95  18 

94  24 

93  30 

92  33 

§^  3^ 

90  37 

89  37 

8836 

87  33 

4    00 

lO 

95  47 

94  57 

94  06 

93  14 

92  21 

91  27 
8929 

9032 

89  36 

8840 

87  41 

86  41 

85  40 

10 

20 

93  43 

92  55 

92  04 

91  14 

90  21 

^  35 

87  40 

8645 

8548 

84  49 

8349 

20 

30 

91  43 

90  54 

90  04 

89  15 

88  24 

8733 

8639 

8545 

84  52 

8356 

8259 

82  01 

30 

40 

8944 

8856 

88  08 

87  19 

86  28 

8539 

8446 

8354 

83  01 

82  07 

81  II 

80  15 

40 

50 

8746 

8700 

8613 

85  24 

8436 

83  46 

82  56 

82  03 

81  12 

80  19 

•79  25 

7830 

50 

5     OO 

85  51 

8505 

84  18 

83  31 

82  43 

81  55 

81  05 

80  15 

79  24 

7832 

7740 

7646 

5     00 

lO 

83  57 

83  II 

82  26 

81  40 

80  52 

8006 

79  16 

78  28 

77  38 

7647 

75  55 

75  04 

10 

20 

82  04 

81  19 

80  35 

79  49 

79  03 

78  16 

77  29 

76  41 

75  53 

75  03 

74  13 

73  22 

20 

30 

80  12 

79  28 

78  44 

78  00 

77  15 

76  29 

75  42 

74  55 

7408 

73  19 

72  30 

71  41 

30 

40 

78  21 

77  38 

76  54 

76  II 

75  27 

74  42 

73  56 

73  10 

72  24 

71  37 

70  48 

70  00 

40 

50 

76  31 

75  49 

75  06 

74  23 

73  40 

72  56 

72  12 

71  27 

7041 

69  55 

69  08 

68  21 

50 

6     OO 

74  40 

73  59 

73  17 

72  35 

71  52 

71  10 

70  26 

6941 

6858 

68  12 

67  26 

66  41 

6    00 

lO 

72  51 

72  ID 

.7048 

70  06 

69  23 

6841 

6758 

67  15 

6631 

65  46 

65  01 

10 

20 

71  CI 

70  21 

69  40 

69  00 

68  19 

67  39 

6657 

66  15 

65  32 

64  49 

64  05 

63  22 

20 

30 

69  II 

68  32 

67  53 

67  13 

6632 

65  52 

.  65  II 

64  31 

63  49 

63  06 

62  25 

61  42 

30 

40 

67  21 

66  42 

66  04 

,  65  25 

64  46 

64  07 

63  27 

62  46 

62  06 

61  24 

60  44 

60  02 

40 

50 

65  31 

64  53 

64  15 

63  37 

6258 

62  20 

61  41 

61  02 

60  22 

59  42 

59  01 

58  21 

50 

7     OO 

63  40 

63  04 

62  26 

61  49 

61  II 

60  34 

5956 

59  17 

5839 

58  00 

57  20 

5641 

7     00 

lO 

61  49 

61  12 

6036 

60  00 

59  23 

5846 

58  09 

57  32 

56  54 

56  16 

5538 

54  59 

10 

20 

59  57 

59  22 

5845 

58  II 

57  35 

56  59 

56  22 

55  46 

55  09 

54  32 

53  55 

53  17 

20 

30 

58  05 

57  30 

56  55 

56  21 

55  45 

55  10 

54  35 

53  59 

53  22 

52  47 

52  II 

51  35 

30 

40 

56  II 

5538 

55  03 

54  30 

53  56 

53  21 

52  47 

52  13 

51  38 

51  03 

50  28 

49  52 

40 

50 

54  17 

53  44 

53  II 

5238 

52  04 

51  32 

5057 

50  24 

49  50 

49  16 

48  43 

48  09 

50 

8     OO 

52  21 

51  49 

51  16 

50  45 

50  12 

4941 

4907 

48  35 

48  02 

47  29 

4656 

46  23 

8     00 

lO 

50  25 

49  54 

49  22 

48  51 

48  19 

47  48 

47  17 

46  4S 

46  13 

45  42 

45  10 

44  38 

10 

20 

48  27 

47  57 

47  26 

4656 

46  26 

45  55 

45  25 

44  54 

44  24 

43  53 

43  22 

42  51 

20 

30 

4629 

45  59 

45  30 

45  00 

44  30 

44  01 

43  31 

43  03 

42  33 

42  03 

41  33 

41  03 

30 

40 

44  28 

43  59 

43  31 

43  03 

42  35 

42  06 

41  37 

41  09 

42  4? 

40  13 

39  44 

39  15 

40 

50 

42  27 

41  59 

41  32 

41  04 

40  37 

40  10 

39  43 

39  16 

3848 

38  21 

37  53 

37  25 

50 

9     OO 

40  23 

39  57 

39  30 

39  05 

3f  38 

38  12 

37  46 

37  20 

36  53 

36  28 

36  01 

•  35  34 

9     00 

lO 

38  19 

37  54 

3728 

37  03 

3638 

36  13 

35  49 

35  23 

34  59 

34  34 

3408 

33  44 

10 

20 

36  14 

35  49 

35  25 

35  02 

3438 

34  14 

33  49 

33  26 

33  03 

32  39 

32  15 

31  51 

20 

30 

34  06 

33  43 

33  20 

32  57 

32  35 

32  12 

31  50 

31  27 

31  05 

30  43 

30  20 

29  57 

30 

40 

31  57 

31  35 

31  14 

30  52 

30  31 

30  II 

2948 

29  27 

29  07 

2845 

28  23 

28  03 

40 

50 

2947 

29  27 

29  06 

28  46 

28  26 

28  07 

27  47 

27  26 

27  07 

26  47 

26  27 

26  07 

50 

lO     OO 

27  36 

27  17 

2658 

26  40 

26  21 

26  02 

25  44 

25  25 

25  07 

24  48 

24  30 

24  12 

10     00 

lO 

25  23 

25  05 

2448 

24  31 

24  13 

23  56 

23  38 

23  21 

23  04 

22  47 

22  31 

22  13 

10 

20 

23  10 

22  53 

22  37 

22  22 

22  06 

21  50 

21  33 

21  18 

21  02 

20  46 

20  31 

20  15 

20 

30 

20  55 

20  40 

20  25 

20  II 

19  56 

19  42 

19  28 

19  13 

18  59 

1845 

18  30 

18  16 

30 

40 

18  38 

18  25 

18  II 

17  59 

17  45 

17  33 

17  20 

17  07 

16  55 

16  42 

16  29 

16  :6 

40 

50 

16  20 

16  09 

15  57 

15  46 

15  35 

15  24 

15  12 

15  01 

14  50 

14  38 

14  27 

14  16 

50 

11     OO 

14  02 

13  52 

13  42 

13  32 

13  23 

13  13 

13  03 

12  53 

12  44 

12  34 

12  25 

12  15 

11     00 

10 

II  43 

II  34 

II  26 

II  19 

II  10 

II  02 

10  53 

10  46 

10  38 

10  29 

10  22 

10  14 

10 

20 

9  23 

9  17 

9  10 

9  03 

857 

8  50 

8  44 

837 

8  30 

824 

8  17 

8  II 

20 

30 

7  03 

658 

653 

6  48 

6  43 

638 

633 

6  28 

6  24 

6  18 

613 

6  09 

30 

40 

4  42 

4  39 

4  35 

4  32 

4  29 

4  25 

4  22 

4  19 

416 

4  13 

409 

4  06 

40 

50 

2  21 

2  19 

2  18 

2  16 

2  14 

2  13 

2  II 

2  09 

2  08 

2  07 

2  05 

2  03 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sooth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


214 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  520. 

DECL,INATION- 

-SAME  NAME  AS— IvATlTUDE. 

liATITCJDS:  52°. 

Hour  An 

gle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

46° 

46° 

470 

Hour  Angle. 

h. 

m. 

o  ' 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  1 

h.    HI. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

172  41 

172  19 

171  54 

171  24 

170  51 

170  II 

169  24 

168  26 

167  15 

165  44 

163  45 

161  03 

10 

20 

165  32 

164  49 

164  00 

163  04 

162  00 

16047 

159  18 

157  33 

155  25 

152  46 

149  26 

145  05 

20 

30 

158  39 

157  39 

156  31 

155  13 

153  45 

152  04 

150  06 

147  48 

145  03 

141  45 

137  46 

132  51 

30 

40 

152  09 

150  55 

149  31 

147  57 

146  12 

144  12 

141  55 

139  18 

136  16 

132  44 

128  34 

123  42 

40 

50 

146  05 

144  40 

143  06 

141  21 

139  25 

137  15 

134  48 

132  03 

12855 

125  22 

121  20 

116  45 

SO 

1 

OO 

140  29 

138  57 

137  17 

135  25 

133  23 

131  08 

128  38 

125  52 

122  47 

119  21 

115  32 

III  19 

1     00 

10 

135  20 

133  43 

131  59 

130  05 

128  00 

125  44 

123  15 

120  32 

117  35" 

114  19 

no  46 

106  54 

10 

20 

130  36 

128  58 

127  II 

125  16 

123  \->. 

120  59 

118  33 

"5  56 

113  07 

no  03 

106  46 

103  12 

20 

30 

126  15 

124  37 

122  50 

120  57 

"8  55 

116  45 

114  24 

III  54 

109  14 

106  22 

103  i8- 

100  03 

30 

40 

122  16 

120  37 

118  53 

117  01 

"5  03 

112  57 

no  42 

108  20 

105  48 

103  07 

100  16 

97  16 

40 

50 

118  36 

116  59 

115  17 

113  28 

"I  33 

109  32 

107  24 

105  08 

102  45 

100  14 

97  35 

94  48 

SO 

2 

OO 

115  II 

113  36 

III  57 

no  12 

108  21 

106  24 

104  22 

102  14 

99  58 

97  36 

95  08 

92  32 

2     00 

10 

112  01 

no  29 

108  51 

107  10 

105  24 

103  32 

loi  35 

99  33 

97  26 

95  12 

92  53 

90  29 

10 

20 

109  04 

107  34 

106  01 

104  22 

102  40 

100  54 

99  02 

97  06 

95  05 

92  58 

9048 

88  32 

20 

30 

106  17 

104  50 

103  19 

loi  45 

100  06 

9824 

9638 

94  48 

92  52 

90  54 

88  51 

8643 

30 

40 

103  40 

102  16 

100  48 

99  17 

97  42 

96  05 

94  23 

92  38 

90  49 

8855 

8659 

84  58 

40 

50 

loi  12 

99  49 

98  25 

96  57 

95  26 

93  53 

92  16 

90  35 

88  51 

87  04 

85  13 

83  19 

SO 

3 

OO 

9850 

97  31 

96  10 

94  45 

93  17 

91  47 

90  14 

88  38 

8659 

85  16 

83  31 

81  43 

3     00 

lO 

96  35 

95  If* 

93  59 

92  37 

91  14 

8947 

88  18 

86  46 

85  II 

83  33 

81  53 

80  10 

10 

20 

94  25 

93  " 

91  54 

90  36 

89  15 

87  52 

8625 

84  57 

83  27 

81  54 

80  17 

78  39 

20 

30 

92  20 

91  09 

8955 

8838 

87  20 

86  00 

8438 

83  13 

81  45 

80  16 

7844 

77  II 

30 

40 

90  19 

89  10 

8758 

8645 

8529 

84  12 

82  53 

81  3J 

80  07 

78  42 

77  14 

75  44 

40 

50 

88  22 

87  15 

8605 

84  54 

8341 

82  27 

81  It 

79  52 

7832 

77  09 

75  45 

74  19 

SO 

4 

OO 

86  29 

85  23 

84  16 

83  08 

81  56 

8045 

79  32 

78  15 

76  57 

75  39 

74  18 

72  55 

4     00 

lO 

84  37 

83  34 

82  28 

81  22 

80  13 

79  04 

77  52 

76  40 

75  2j 

74  09 

72  51 

71  32 

10 

20 

82  49 

81  47 

8043 

79  39 

78  32 

77  26 

76  17 

75  06 

73  54 

72  41 

71  25 

70  09 

20 

30 

81  02 

80  02 

79  01 

77  57 

7653 

75  48 

74  42 

73  34 

72  24 

71  14 

70  01 

6847 

30 

40 

79  18 

78  19 

77  20 

76  18 

75  16 

74  13 

73  09 

72  03 

70  55 

69  47 

6837 

67  26 

40 

SO 

77  34 

7637 

75  39 

74  40 

73  40 

7238 

71  35 

7032 

69  27 

68  21 

67  14 

66  04 

SO 

5 

00 

75  51 

74  56 

73  59 

73  02 

72  04 

71  04 

70  03 

69  02 

6758 

6655 

65  49 

64  43 

5     00 

lO 

74  10 

73  17 

72  22 

71  26 

70  28 

69  32 

68  32 

67  33 

6631 

65  30 

64  26 

63  22 

10 

20 

72  30 

71  37 

70  44 

69  51 

6854 

67  59 

67  02 

66  04 

65  04 

64  04 

63  03 

62  01 

20 

30 

70  50 

69  59 

69  07 

68  15 

6721 

66  26 

65  30 

64  35 

63  37 

62  39 

61  40 

60  40 

30 

40 

69  II 

68  22 

67  31 

66  40 

65  47 

64  54 

64  00 

63  06 

62  10 

61  13 

60  17 

59  18 

40 

50 

67  33- 

66  44 

65  55 

65  05 

64  14 

63  23 

62  30 

61  38 

60  43 

59  49 

5853 

57  57 

SO 

6 

OO 

65  54 

6506 

64  19 

63  30 

62  40 

61  51 

61  00 

60  08 

59  16 

58  23 

57  29 

56  35 

6     00 

lO 

64  15 

63  29 

62  43 

61  55 

61  07 

60  19 

59  29 

58  40 

57  48 

5656 

56  04 

55  12 

10 

20 

62  37 

61  52 

61  07 

60  21 

59  34 

5846 

57  59 

57  10 

56  ii 

55  30 

54  40 

53  49 

20 

30 

60  59 

60  15 

59  31 

5846 

58  00 

57  14 

56  28 

55  41 

54  52 

54  04 

53  15 

52  25 

30 

40 

59  19 

58  37 

57  54 

57  10 

56  26 

55  41 

54  56 

54  II 

53  24 

52  37 

51  49 

51  02 

40 

50 

57  41 

56  59 

56  18 

55  35 

54  51 

54  09 

53  24 

52  40 

51  55 

51  09 

50  23 

49  36 

SO 

7 

OO 

56  01 

5521 

54  40 

53  59 

53  16 

52  35 

51  52 

51  10 

50  25 

49  40 

4856 

48  II 

7     00 

lO 

54  21 

5342 

53  01 

52  21 

51  41 

51  00 

50  19 

49  37 

48  54 

48  12 

47  29 

46  45 

10 

20 

52  40 

52  01 

51  23 

50  44 

52  °5 

49  25 

48  45 

48  05 

47  23 

46  43 

46  01 

45  19 

20 

30 

50  59 

50  21 

49  44 

49  07 

48  28 

47  50 

47  11 

46  32 

45  52 

45  12 

44  32 

43  51 

30 

40 

49  17 

48  40 

48  04 

47  27 

46  51 

46  14 

45  36 

44  59 

44  20 

43  42 

43  03 

42  23 

40 

50 

47  34 

46  59 

\S   24 

45  49 

45  13 

44  37 

44  01 

43  25 

42  47 

42  10 

41  32 

40  54 

SO 

8 

OO 

45  49 

45  16 

44  42 

44  08 

43  33 

42  59 

42  24 

41  49 

41  13 

40  37 

40  00 

39  24 

8     00 

lO 

44  06 

43  33 

43  00 

42  28 

41  54 

41  20 

40  47 

40  13 

3938 

39  04 

38  29 

37  54 

10 

20 

42  20 

41  49 

41  18 

40  45 

40  13 

39  41 

3908 

3837 

3803 

37  30 

36  57 

36  23 

20 

30 

40  34 

40  03 

39  33 

39  03 

3832 

38  01 

37  29 

36  59 

36  27 

35  55 

35  23 

34  51 

30 

40 

3846 

38  18 

37  49 

37  19 

36  49 

36  20 

35  50 

35  20 

34  49 

34  19 

33  48 

33  18 

40 

SO 

3658 

36  30 

36  03 

35  35 

35  06 

34  37 

34  10 

33  41 

33  12 

32  42 

32  14 

31  44 

SO 

9 

OO 

35  09 

34  42 

34  16 

33  49 

33  22 

32  55 

32  28 

32  00 

31  32 

31  05 

30  37 

30  09 

9     00 

lO 

33  18 

32  53 

32  28 

32  03 

31  36 

31  II 

30  46 

30  19 

29  53 

29  27 

29  01 

28  34 

10 

20 

31  28 

31  04 

30  39 

30  15 

29  51 
28  03 

29  26 

29  02 

28  38 

28  12 

27  48 

27  23 

2658 

20 

30 

29  34 

29  12 

28  50 

28  27 

27  41 

27  18 

26  55 

26  32 

26  07 

25  44 

25  20 

30 

40 

27  41 

27  20 

26  59 
25  <« 

26  38 

26  16 

25  55 

25  33 

25  12 

24  49 

24  27 

24  05 

23  43 

40 

50 

25  48 

25  27 

2448 

24  28 

24  07 

23  47 

23  27 

23  07 

22  46 

22  25 

22  05 

SO 

lO 

OO 

23  52 

23  34 

23  16 

22  57 

22  39 

22  19 

22  01 

21  42 

21  23 

21  04 

20  45 

20  26 

10     00 

lO 

21  57 

21  39 

21  22 

21  05 

20  48 

20  31 

20  14 

19  57 

19  39 

19  21 

19  03 

18  45 

10 

20 

19  59 

19  44 

19  28 

19  13 

1857 

18  41 

18  25 

18  10 

17  54 

17  38 

17  22 

17  06 

20 

30 

18  02 

17  48 

17  34 

17  19 

17  06 

16  51 

16  37 

16  22 

16  08 

15  54 

15  40 

15  25 

30 

40 

16  04 

15  51 

15  38 

15  26 

15  13 

15  01 

14  47 

14  35 

14  22 

14  09 

13  56 

13  44 

40 

SO 

14  05 

13  54 

13  43 

13  32 

13  21 

13  10 

12  58 

12  47 

12  35 

12  24 

12  13 

12  02 

SO 

11 

OO 

12  06 

II  56 

II  46 

11  37 

II  27 

II  17 

II  08 

10  59 

10  48 

10  39 

10  29 

10  19 

11     00 

lO 

10  05 

957 

9  49 

9  42 

9  34 

9  26 

9  17 

9  09 

9  01 

853 

845 

8  36 

10 

20 

8  05 

758 

7  52 

7  46 

7  39 

7  33 

726 

7  20 

7  13 

7  07 

7  00 

654 

20 

30 

6  04 

5  59 

5  54 

5  49 

5  44 

5  39 

5  35 

5  30 

5  25 

5  20 

5  15 

5  10 

30 

40 

4  03 

3  59 

356 

3  53 

3  50 

3  47 

3  43 

3  40 

3  37 

3  34 

3  30 

3  27 

40 

SO 

2  02 

2  00 

I  58 

I  56 

I  55 

I  53 

I  52 

I  50 

I  49 

I  47 

I  45 

I  44 

SO 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

.  0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


215 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  52°. 

DECI.INATION- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  52°. 

Hoar  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56°  : 

57° 

58° 

59° 

Hour  Angle. 

b. 

m. 

O  1 

0  ' 

0  , 

0  / 

0  / 

0  / 

0  / 

0  / 

0   / 

0  / 

0  / 

0  / 

b.    ni. 

O 

OO 

i8o  OO 

180  00 

180  CD 

180  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

157  o8 

151  06 

140  50 

121  44 

8901 

55  42 

3558 

25  23 

19  10 

15  II 

12  25 

10  25 

10 

20 

139  i6 

131  22 

120  28 

105  51 

88  02 

69  50 

54  24 

4-2  46 

34  19 

28  08 

23  31 

19  59 

20 

30 

126  45 

119  13 

1 10  01 

99  09 

8703 

74  41 

63  08 

53  06 

44  48 

3803 

32  36 

28  12 

30 

40 

"7  59 

III  19 

103  42 

95  11 

86  03 

7643 

67  40 

59  17 

51  47 

45  16 

39  42 

34  56 

40 

50 

I"  34 

105  46 

99  21 

92  24 

85  04 

77  35 

70  10 

63  05 

56  28 

50  27 

45  04 

40  17 

50 

1 

OO 

io6  39 

loi  34 

96  03 

90  12 

8405 

77  49 

71  35 

65  29 

59  38 

54  II 

49  06 

44  29 

1     00 

lO 

102  42 

98  12 

93  24 

83  20 

83  05 

77  43 

72  19 

67  00 

61  48 

56  50 

52  08 

47  45 

10 

20 

99  25 

95  23 

91  08 

8644 

82  05 

77  23 

72  39 

67  55 

63  16 

58  45 

54  24 

50  17 

20 

30 

9636 

92  57 

8909 

85  II 

81  06 

76  55 

72  40 

68  27 

64  14 

60  07 

56  06 

52  13 

30 

40 

94  07 

9048 

87  21 

8346 

80  05 

76  19 

72  30 

^39 

64  50 

61  03 

57  20 

53  42 

40 

50 

9:  54 

88  51 

85  42 

82  27 

79  05 

..  75  40 

72  II 

68  40 

65  10 

61  39 

58  12 

5448 

50 

2 

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8950 

87  03 

84  08 

81  09 

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74  56 

71  44 

6830 

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62  02 

5848 

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85  21 

82  40 

79  54 

77  04 

74  10 

71  13 

6814 

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59  10 

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10 

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8345 

81  16 

78  41 

76  03 

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70  37 

67  49 

65  01 

62  12 

59  22 

56  31 

20 

30 

8430 

82  14 

79  53 

77  29 

75  01 

72  31 

69  57 

67  21 

64  43 

62  03 

59  23 

56  44 

30 

40 

82  53 

8045 

7833 

76  18 

74  00 

71  38 

69  14 

6647 

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61  49 

59  18 

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40 

50 

81  21 

79  20 

77  16 

73  09 

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63  50 

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63  16 

61  22 

59  26 

57  29 

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6558 

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62  27 

60  39 

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40 

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6637 

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59  52 

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62  26 

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58  25 

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51  13 

40 

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53  17 

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41  20 

30 

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36  29 

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34  52 

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41  02 

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39  40 

3858 

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37  31 

36  47 

36  02 

35  17 

34  30 

33  43 

40 

50 

40  15 

39  37 

38  57 

38  17 

37  36 

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36  13 

35  31 

34  47 

34  04 

33  20 

32  34 

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33  34 

32  55 

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31  35 

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32  37 

32  03 

31  28 

30  53 

30  17 

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29  04 

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30  37 

30  04 

29  30 

2856 

28  21 

27  47 

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26  34 

40 

50 

31  13 

3043 

30  13 

29  42 

29  II 

2839 

28  07 

27  34 

27  01 

26  28 

25  55 

25  20 

50 

9 

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29  40 

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28  07 

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26  44 

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24  20 

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23  20 

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26  06 

25  41 

25  15 

24  48 

24  21 

23  54 

23  26 

22  58 

22  30 

22  02 

21  32 

20 

30 

24  57 

24  33 

24  08 

23  43 

23  18 

22  53 

22  28 

22  02 

21  36 

21  09 

20  43 

20  15 

30 

40 

23  20 

22  58 

22  35 

22  12 

21  48 

21  24 
19  56 

21  01 

20  37 

20  12 

1948 

19  22 

18  57 

40 

50 

21  43 

21  22 

21  01 

20  40 

20  18 

19  34 

19  12 

18  49 

18  25 

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1847 

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18  28 

18  10 

17  51 

1734 

17  15 

1656 

1638 

16  19 

15  59 

15  40 

15  20 

14  59 

10 

20 

16  50 

16  33 

16  16 

16  00 

15  43 

15  26 

15  09 

14  51 

14  34 

14  16 

13  57 

13  40 

20 

30 

15  10 

14  55 

14  40 

14  26 

14  10 

13  55 

13  39 

13  24 

13  07 

12  52 

12  36 

12  19 

30 

40 

13  30 

13  17 

13  04 

12  51 

12  37 

12  23 

12  09 

II  55 

II  41 

II  27 

II  13 

10  58 

40 

50 

II  50 

II  39 

II  27 

II  15 

II  03 

10  51 

10  39 

ID  27 

10  15 

10  02 

9  50 

9  37 

50 

11 

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10  10 

10  00 

9  50 

9  39 

9  29 

9  18 

9  09 

858 

847 

837 

8  26 

8  15 

11     00 

lO 

8  28 

8  21 

8  n 

8  03 

7  55 

7  47 

7  38 

728 

7  20 

7  II 

7  02 

652 

10 

20 

647 

6  40 

633 

627 

6  20 

6  14 

606 

6  00 

5  52 

5  45 

538 

5  31 

20 

30 

5  05 

500 

4  55 

4  50 

4  45 

4  40 

4  34 

4  30 

4  24 

4  19 

4  13 

4  08 

30 

40 

3  24 

3  20 

3  17 

3  14 

3  10 

307 

3  04 

3  00 

256 

2  53 

2  49 

2  46 

40 

50 

I  42 

I  40 

138 

I  37 

I  35 

I  34 

I  32 

I  30 

I  28 

I  26 

I  24 

I  23 

60 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  fron  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  diiferent  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


216 


AZIMUTH  OR  TRUE  BEARING. 


liATITIJDE  52°. 

DECLINATION— SAME  NAME  AS— I^ATITUDE. 

LATITUDE  52°. 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

Ii. 

m. 

0  / 

0  / 

0  r 

0  / 

0  f 

0  / 

0  / 

0  ' 

0  / 

0  1 

0  1 

h.    m. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

J  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

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7  41 

6  43 

5  54 

5  15 

4  41 

4  II 

3  46 

3  23 

3  03 

2  46 

10 

20 

17  12 

15  00 

13  10 

II  38 

10  21 

9  15 

8  17 

•7  28 

6  44 

6  05 

5  29 

20 

30 

24  36 

21  37 

19  07 

16  59 

15  II 

13  37 

12  15 

II  02 

958 

9  01 

8  10 

30 

40 

30  53 

27  26 

24  27 

21  54 

19  39 

17  41 

1558 

14  26 

13  05 

II  51 

10  45 

40 

50 

36  05 

32  23 

29  07 

26  15 

23  43 

21  27 

19  26 

17  38 

16  01 

14  33 

13  13 

50 

1 

OO 

40  17 

36  31 

3308 

30  03 

27  19 

24  50 

22  36 

20  35 

18  45 

17  04' 

15  33 

1     00 

10 

43  42 

39  57 

36  30 

33  21 

30  29 

27  51 

25  28 

23  17 

21  16 

19  26 

17  44 

10 

20 

46  23 

42  45 

39  19 

36  10 

33  15 

30  32 

28  01 

25  43 

23  35 

21  37 

19  47 

20 

30 

48  32 

45  00 

41  40 

3833 

35  37 

32  52 

30  18 

27  55 

25  41 

23  36 

21  40 

30 

40 

50  II 

46  50 

43  37- 

40  33 

37  39 

34  54 

32  18 

29  52 

27  34 

25  25 

23  24 

40 

60 

51  29 

48  17 

45  II 

42  II 

39  21 

3636 

34  02 

31  35 

29  14 

27  02 

24  58 

50 

2 

OO 

52  29 

49  26 

46  26 

43  34 

40  47 

41  58 

38  06 

35  3? 

33  04 

30  44 

28  29 

26  22 

2     00 

10 

53  13 

50  18 

47  27 

44  40 

39  19 

3648 

'~/L   22 

32  01 

29  46 

27  38 

10 

20 

53  44 

5058 

48  13 

45  33 

42  55 

40  22 

37  52 

35  29 

33  09 

30  54 

28  44 

20 

•  30 

54  04 

51  26 

48  49 

46  14 

43  42 

41  12 

3847 

36  25 

34  07 

31  53 

29  43 

30 

40 

54  15 

51  44 

49  14 

46  45 

44  18 

41  53 

39  31 

37  13 

34  57 

32  43 

30  35 

40 

50 

54  18 

51  54 

49  30 

47  07 

44  45 

42  25 

40  07 

37  51 

35  37 

33  26 

31  19 

50 

3 

OO 

54  15 

51  58 

49  40 

47  22 

45  05 

42  49 

40  35 

38  22 

36  II 

34  02 

31  56 

3     00 

lO 

54  05 

51  54 

49  41 

47  29 

45  17 

43  06 

40  56 

3846 

3638 

34  32 

32  28 

10 

20 

53  50 

51  45 

49  38 

47  30 

45  23 

43  16 

41  10 

39  04 

36  59 

34  55 

32  53 

20 

30 

53  31 

51  30 

49  28 

47  26 

45  23 

43  21 

41  18 

39  16 

37  14 

35  12 

33  12 

30 

40 

53  08 

51  12 

49  15 

47  17 

45  19 

43  19 

.  41  21 

39  23 

37  23 

35  25 

33  28 

40 

50 

52  40 

50  50 

48  57 

47  03 

45  10 

43  14 

41  19 

39  24 

37  28 

35  33 

3338 

50 

4 

00 

52  II 

50  24 

48  35 

46  46 

44  55 

43  05 

41  13 

39  21 

37  28 

35  36 

33  43 

4     00 

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51  37 

49  54 

48  10 

46  24 

■  4438 

42  50 

41  02 

39  14 

37  25 

35  35 

33  45 

10 

20 

51  01 

49  22 

47  41 

45  59 

44  17 

42  33 

40  48 

39  03 

37  17 

35  29 

33  43 

20 

30 

50  23 

48  47 

47  10 

45  32 

43  53 

42  12 

40  31 

38  49 

37  05 

35  21 

33  37 

30 

40 

49  42 

48  ID 

46  36 

45  01 

43  26 

41  48 

40  II 

3831 

36  50 

35  10 

33  28 

40 

50 

49  00 

47  31 

46  00 

44  28 

42  55 

41  21 

39  47 

38  10 

36  33 

34  54 

33  15 

50 

5 

OO 

48  14 

46  48 

45  21 

43  53 

42  23 

40  52 

■  39  20 

37  47 

36  12 

34  36 

33  00 

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47  28 

46  05 

44  40 

43  15 

41  49 

40  20 

38  50 

37  20 

3548 

34  16 

32  42 

10 

20 

46  39 

45  19 

43  58 

42  35 

41  II 

39  46 

38  19 

36  52 

35  23 

33  52 

32  21 

20 

30 

45  49 

44  32 

43  13 

41  53 

40  32 

39  09 

37  46 

36  20 

34  54 

33  26 

31  58 

30 

40 

44  57 

43  43 

42  27 

41  09 

39  51 

38  31 

37  09 

3548 

34  24 

32  59 

31  32 

40 

50 

44  05 

42  52 

41  39 

40  24 

39  08 

37  51 

36  32 

35  13 

33  51 

32  29 

31  06 

50 

6 

OO 

43  09 

■42  00 

40  48 

39  37 

38  24 

3708 

35  52 

34  35 

33  17 

31  56 

30  35 

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42  13 

41  06 

39  57 

38  48 

37  37 

36  24 

35  10 

33  56 

32  40 

31  22 

30  04 

10 

20 

41  17 

40  12 

39  04 

3758 

36  49 

35  39 

34  28 

33  15 

32  02 

30  47 

29  31 

20 

30 

40  17 

39  15 

38  II 

37  06 

35  59 

34  51 

33  43 

32  33 

31  22 

30  09 

28  55 

30 

40 

39  17 

.  38  18 

37  15 

36  12 

35  08 

34  03 

32  57 

31  49 

30  40 

29  30 

28  18 

40 

50 

38  17 

37  19 

36  19 

35  18 

34  16 

33  13 

32  09 

31  04 

29  57 

28  49 

27  40 

50 

7 

OO 

37  15 

36  19 

35  21 

34  22 

33  23 

32  22 

31  19 

30  17 

-29  13 

28  07 

27  01 

7     00 

10 

36  II 

35  17 

34  21 

33  25 

32  27 

31  28 

30  29 

29  28 

28  27 

27  23 

26  18 

10 

20 

35  06 

34  15 

33  21 

32  27 

31  31 

30  36 

2938 

28  40 

27  39 

26  38 

25  36 

20 

30 

34  02 

33  12 

32  20 

31  28 

30  35 

29  40 

28  45 

27  49 

26  51 

25  52 

24  52 

30 

40 

32  55 

32  08 

31  18 

30  28 

2936 

28  43 

27  51 

•26  57 

26  01 

25  04 

24  07 

40 

50 

31   48 

31  02 

30  14 

29  26 

2836 

27  4;7 

26  56 

26  04 

25  II 

24  16 

23  20 

50 

8 

OO 

30  40 

^  55 
28  48 

29  09 

28  23 

27  36 

26  48 

25  59 

25  09 

24  18 

23  26 

22  33 

8    00 

10 

29  31 

28  04 

27  21 

26  35 

2548 

25  02 

24  14 

23  25 

22  35 

21  45 

10 

20 

28  21 

27  40 

26  58 

26  16 

25  32 

24  49 

24  04 

23  18 

22  31 

21  43 

20  55 

20 

30 

27  10 

26  31 

25  51. 

25  10 

24  30 

23  47 

23  05 

22  21 

21  36 

20  51 

20  05 

30 

40 

25  58 

25  21 

24  43 

24  04 

23  25 

22  45 

22  04 

21  23 

20  40 

19  57 

19  13 

40 

50 

24  45 

24  10 

23  34 

22  58 

22  20 

22  42 

21  03 

20  24 

19  44 

19  02 

18  20 

50 

9 

OO 

23  33 

22  59 

22  24 

21  49 

21  14 

20  38 

20  01 

19  24 

18  46 

18  07 

17  27 

9     00 

lO 

22  17 

21  46 

21  14 

20  41 

20  08 

19  34 

19  00 

18  23 

17  48 

17  10 

16  33 

10 

20 

21  03 

20  33 

20  02 

19  32 

19  01 

18  28 

17  56 

17  23 

.  16  49 

16  14 

15  39 

20 

30 

19  48 

19  19 

18  50 

18  22 

17  53 

17  23 

16  51 

16  21 

15  49 

15  17 

14  44 

30 

40 

18  31 

18  05 

17  39 

17  II 

16  43 

16  16 

15  47 

15  19 

14  49 

14  19 

13  48 

40 

50 

17  14 

16  51 

16  26 

16  00 

15  35 

15  09 

14  42 

14  16 

.  13  48 

13  20 

12  50 

50 

lO 

OO 

15  57 

15  35 

15  12 

14  49 

14  25 

14  01 

13  36 

13  II 

12  46 

12  20 

II  54 

10     00 

10 

14  39 

14  18 

13  57 

13  37 

13  15 

12  53 

J2  30 

12  08 

II  44 

II  20 

10  5<' 

10 

20 

13  21 

13  03 

12  43 

12  24 

12  04 

n  44 

II  24 

II  03 

10  42 

10  20 

9  58 

20 

30 

12  03 

II  46 

II  28 

II  II 

10  53 

10  35 

10  16 

958 

9  39 

9  19 

9  CO 

30 

40 

10  43 

10  28 

10  13 

9  58 

9  42 

9  25 

9  08 

852 

8  35 

8  18 

8  01 

40 

50 

9  24 

9  11 

857 

844 

8  30 

8  15 

8  01 

7  47 

7  32 

7  16 

7  01 

50 

11 

OO 

8  03 

7  53 

7  41 

7  29 

7  18 

7  05 

653 

6  41 

6  28 

6  14 

6  01 

11     00 

lO 

6  43 

6  34 

625 

6  15 

6  05 

5  55 

5  45 

5  34 

5  23 

5  13 

5  02 

10 

20 

5  24 

5  15' 

5  08 

5  00 

4  53 

4  44 

4  36 

4  28 

4  19 

4  11 

4  02 

20 

30 

4  03 

3  57 

3  51 

3  45 

3  39 

3  33 

328 

3  21 

3  14 

3  08 

3  01 

30 
40  1 

40 

2  41 

2  38 

2  34 

2  30 

2  26 

2  22 

2  19 

2  14 

2  09 

2  05 

2  01 

50 

I  21 

I  19 

I  17 

I  16 

I  13 

I  II 

I  09 

I  07 

I  05 

I  03 

I  01 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

IS   00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


217 


AZIMUTH  OR  TRUE  BEARING. 


liATITUUE  5 

3°. 

DECI.INATION- 

-SAME  NAME  AS— LATITVDE. 

1.AT1T1JIIE  53°. 

Hour  An 

gle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

36° 

Bonr  Angle. 

h. 

m. 

o  r 

0   / 

0   / 

0   ' 

0   ' 

0   / 

0   / 

0   / 

0   / 

0   / 

0   / 

0   / 

b.    m. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

iSo  00 

iSo  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

175  i8 

175  10 

175  03 

174  56 

174  47 

174  38 

174  28 

174  18 

174  06 

173  53 

173  39 

173  23 

10 

20 

170  38 

170  24 

170  09 

169  54 

169  37 

169  19 

169  00 

168  39 

168  16 

167  51 

167  23 

166  53 

20 

30 

166  00 

165  41 

165  20 

164  56 

164  32 

164  06 

163  38 

163  07 

16234 

161  58 

161  19 

160  36 

30 

40 

161  29 

161  03 

16035 

160  06 

159  35 

159  02 

158  25 

157  46 

157  03 

156  18 

155  28 

154  34 

40 

SO 

157  04 

156  33 

156  00 

155  25 

154  47 

154  07 

153  24 

152  37 

151  48 

150  53 

149  56 

148  52 

50 

1 

OO 

152  48 

152  12 

151  34 

150  53 

150  n 

149  25 

148  36 

147  43 

146  48 

145  48 

144  42 

143  31 

1    00 

lO 

148  40 

148  00 

147  17 

146  32 

145  45 

144  54 

144  01 

143  04 
138  40 

142  03 

140  58 

139  47 

138  31 

10 

22 

144  41 

143  58 

143  II 

142  23 

141  32 

140  38 

»39  41 

13736 

136  20 

135  12 

133  54 

20 

30 

140  46 

140  04 

139  15 

138  24 

137  31 

136  34 

135  34 

134  31 

133  23 

132  13 

130  56 

129  35 

30 

40 

137  10 

136  22 

135  31 

134  38 

133  42 

132  43 

131  41 

130  35 

129  27 

128  14 

126  57 

125  34 

40 

50 

133  40 

132  49 

131  56 

131  02 

130  04 

129  04 

128  01 

126  55 

125  44 

124  32 

123  14 

121  51 

50 

2 

oo; 

130  16 

129  25 

128  31 

127  35 

126  38 

125  36 

124  33 

123  25 

122  15 

121  02 

119  44 

118  23 

2    00 

lO 

127  03 

126  II 

125  16 

124  20 

123  21 

122  19 

121  15 

120  09 

118  59 

117  45 

116  28 

115  08 

10 

. 

20 

123  57 

123  05 

122  10 

121  13 

120  14 

119  13 

118  08 

117  01 

115  53 

114  40 

"3  25 

112  05 

20 

30 

120  59 

120  06 

119  12 

118  15 

117  16 

116  15 

115  10 

114  04 

112  56 

III  44 

no  30 

109  12 

30 

40 

118  09 

117  15 

lib  20 

115  24 

114  26 

113  24 

112  21 

III  16 

no  09 

108  58 

107  45 

106  29 

40 

50 

"5  25 

114  32 

113  37 

112  40 

III  42 

no  42 

109  40 

10835 

107  29 

106  21 

105  09 

103  55 

50 

3 

OO 

112  46 

III  54 

no  59 

no  03 

109  06 

108  07 

107  05 

106  02 

104  57 

103  50 

102  40 

loi  27 

3     00 

lO 

no  13 

109  21 

108  27 

107  32 

106  35 

105  37 

104  36 

103  34 

102  30 

loi  24 

100  16 

99  06 

10 

20 

107  46 

io6  54 

106  01 

105  06 

104  10 

103  12 

102  13 

loi  12 

100  09 

99  05 

9758 

96  50 

20 

30 

105  23 

104  32 

103  39 

102  45 

loi  50 

100  53 

99  56 

9855 

97  54 

96  52 

95  46 

94  39 

30 

40 

103  05 

102  13 

loi  22 

100  27 

99  34 

9^38 

97  41 

96  43 

95  43 

94  42 

93  39 

92  33 

40 

50 

100  49 

99  59 

99  07 

98  15 

97  22 

96  28 

95  32 

94  35 

93  36 

92  36 

91  33 

90  31 

50 

4 

OO 

9838 

9748 

96  59 

96  07 

95  15 

94  21 

93  25 

92  30 

91  33 

90  35 

8934. 

^32 

4    00 

lO 

96  29 

95  41 

94  51 

94  00 

93  09 

92  16 

91  22 

90  28 

8932 

88  34 

8736 

86  36 

10 

20 

94  23 

93  36 

92  46 

91  57 

91  06 

90  15 

89  23 

88  28 

87  34 

8639 

85  41 

8443 

20 

30 

92  20 

91  33 

90  45 

8955 

89  06 

88  16 

87  24 

86  32 

8538 

84  44 

8348 

82  51 

30 

40 

90  20 

8932 

87  57 

8709 

86  20 

8529 

8437 

8346 

82  52 

81  57 

81  02 

40 

50 

88  21 

8734 

8648 

86  01 

85  13 

8425 

8335 

8245 

81  54 

81  02 

80  08 

79  14 

50 

5 

OO 

86  22 

8537 

8452 

84  05 

83  19 

82  31 

81  43 

8053 

80  03 

79  13 

78  21 

77  28 

5     00 

lO 

84  26 

^3  42 

8257 

82  12 

81  26 

80  40 

79  52 

79  03 

78  15 

77  25 

76  34 

75  43 

10 

20 

82  31 

81  48 

81  04 

80  19 

79  34 

78  49 

78  02 

77  15 

76  27 

75  39 

74  49 

73  59 

20 

30 

80  38 

79  55 

79  II 

78  28 

77  44 

7658 

76  13 

75  27 

74  40 

73  53 

73  05 

72  15 

30 

40 

7844 

78  02 

77  19 

7636 

75  53 

75  09 

74  25 

73  39 

72  54 

72  08 

71  21 

70  33 

40 

50 

76  52 

76  II 

75  29 

74  47. 

74  05 

73  21 

72  37 

71  53 

71  09 

70  24 

69  37 

6851 

50 

6 

OO 

75  01 

•  74  20 

7338 

72  57 

72  15 

71  33 

70  50 

70  07 

69  23 

68  40 

67  54 

67  09 

6     00 

lO 

73  09 

72  29 

71  48 

71  07 

70  26 

6945 

69  04 

68  21 

67  39 

6655 

66  II 

65  26 

10 

20 

71  18 

70  37 

69  59 

69  19 

6839 

6758 

67  18 

6635 

65  54 

65  12 

64  29 

63  46 

20 

30 

69  25 

6847 

68  09 

67  30 

66  50 

66  n 

65  30 

64  49 

64  09 

63  28 

62  46 

62  04 

30 

40 

67  34 

66  56 

66  19 

65  39 

65  02 

64  23 

63  43 

63  04 

62  24 

61  44 

61  03 

60  22 

40 

50 

65  42 

65  05 

64  28 

63  51 

63  13 

6235 

61  57 

61  18 

60  39 

60  00 

59  20 

58  40 

50 

7 

OO 

63  50 

63  14 

62  37 

62  01 

61  24 

60  47 

60  10 

59  32 

58  54 

58  16 

57  37 

56  57 

7     00 

lO 

61  57 

61  21 

60  45 

60  10 

59  34 

5858 

58  22 

57  45 

5708 

56  31 

55  53 

55  14 

10 

20 

60  04 

59  29 

58  55 

5^  '§ 

57  44 

57  09 

56  34 

55  57 

55  21 

54  45 

54  09 

53  31 

20 

30 

58  10 

57  36 

57  02 

56  28 

55  54 

55  20 

.54  45 

54  10 

53  35 

53  00 

52  24 

51  48 

30 

40 

56  15 

55  42 

55  09 

54  36 

54  03 

53  29 

52  56 

52  21 

51  47 

51  13 

50  38 

50  03 

40 

50 

54  20 

5348 

53  15 

52  43 

52  II 

51  38 

51  05 

50  32 

49  59 

49  26 

4853 

48  18 

50 

8 

OO 

52  23 

51  51 

51  20 

5048 

50  17 

49  45 

49  13 

48  42 

48  09 

47  37 

47  05 

46  32 

8     00 

10 

50  25 

4956 

49  24 

4854 

48  24 

47  53 

47  22 

46  51 

46  20 

45  48 

45  17 

44  45 

10 

ao 

48  27 

47  57 

47  28 

4658 

46  29 

45  59 

4528 

44  59 

44  29 

43  59 

43  28 

.42  57 

20 

30 

46  27 

45  59 

45  30 

45  01 

44  32 

44  04 

43  35 

43  06 

42  37 

42  08 

41  39 

41  09 

30 

40 

44  26 

43  59 

43  31 

43  03 

42  36 

42  08 

41  40 

41  12 

40  45 

40  16 

3948 

39  20 

40 

50 

42  24 

41  57 

41  31 

41  04 

40  37 

40  II 

39  44 

39  18 

3851 

3824 

37  57 

37  30 

50 

9 

OO 

40  20 

39  55 

39  29 

39  03 

3f  38 

38  13 

37  47 

37  21 

3656 

36  30 

36  04 

35  3? 

9     00 

lO 

38  16 

37  51 

37  27 

37  02 

3638 

36  13 

35  49 

35  24 

35  00 

34  36 

34  II 

33  46 

10 

20 

36  10 

35  46 

35  23 

34  59 

34  35 

34-13 

33  50 

33  26 

33  03 

32  40 

32  17 

31  54 

20 

30 

34  02 

33  40 

33  18 

32  56 

32  33 

32  12 

31  49 

31  27 

31  06 

30  44 

30  21 

29  59 

30 

40 

31  53 

31  31 

31  II 

30  49 

30  30 

30  09 

29  48 

29  27 

29  06 

28  46 

28  25 

28  04 

40 

50 

29  43 

29  23 

29  03 

28  43 

28  25 

28  04 

27  45 

27  26 

27  06 

26  48 

26  28 

26  08 

50 

lO 

OO 

27  31 

27  13 

2655 

2636 

26  19 

26  00 

25  42 

25  24 

25  05 

24  47 

24  29 

24  II 

10     00 

lO 

25  19 

25  01 

24  44 

24  28 

24  II 

23  54 

23  36 

23  21 

23  04 

22  48 

22  30 

22  14 

10 

20 

23  05 

22  49 

22  33 

22  17 

22  03 

21  48 

21  32 

21  16 

21  01 

20  46 

20  30 

20  16 

20 

30 

20  49 

20  36 

20  22 

20  08 

19  53 

19  39 

19  26 

19  II 

1858 

18  44 

18  30 

18  16 

30 

40 

18  34 

18  20 

18  08 

17  56 

17  43 

17  31 

17  18 

17  06 

16  54 

16  41 

16  29 

16  16 

40 

50 

16  17 

i6  06 

15  54 

15  43 

15  33 

15  22 

15  10 

14  59 

14  49 

14  38 

14  26 

14  16 

50 

11 

OO 

13  59 

13  49 

13  40 

13  30 

13  21 

13  II 

13  01 

12  52 

12  43 

12  33 

12  24 

12  14 

11     00 

lO 

II  41 

II  32 

II  24 

II  17 

II  08 

II  01 

:o  52 

10  45 

10  36 

10  28 

10  21 

10  13 

10 

20 

9  21 

9  15 

908 

9  01 

8  56 

8  49 

842 

8  36 

8  29 

8  23 

8  17 

8  10 

20 

30 

7  01 

6  56 

6  51 

6  46 

642 

637 

632 

6  28 

623 

6  18 

6  13 

6  08 

30 

40 

4  41 

4  37 

4  34 

4  31 

428 

4  25 

4  22 

4  19 

^   ^§ 

.  4  12 

4  09 

4  06 

40 

50 

2  21 

2  19 

2  18 

2  16 

2  14 

2  13 

2  n 

2  09 

2  08 

2  06 

2  05 

2  03 

SO 

13 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


218 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE:  53°. 

DECI^INATION- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  63°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

46° 

46° 

47° 

Hour  Angle. 

li. 

m. 

o  / 

0  / 

0  r 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

li.    ni. 

0 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

>i8o  00 

180  00 

0    00 

lO 

173  o6 

172  46 

172  25 

172  01 

171  32 

170  59 

170  19 

169  33 

16837 

167  27 

165  59 

164  02 

10 

20 

i66  2o 

165  43 

165  00 

164  13 

163  18 

162  16 

161  03 

159  36 

157  52 

155  47 

153  II 

149.53 

20 

30 

159  48 

158  54 

157  55 

156  48 

155  32 

154  05 

152  25 

150  29 

148  13 

145  31 

142  16 

138  17 

30 

40 

153  34 

152  27 

151  14 

149  51 

148  20 

146  36 

144  38 

142  23 

139  46 

136  46 

133  14 

129  06 

40 

50 

147  42 

146  26 

145  02 

143  29 

141  46 

139  51 

137  42 

135  17 

132  32 

129  26 

125  53 

121  49 

60 

1 

OO 

142  15 

140  52 

139  20 

137  41 

135  50 

133  48 

131  34 

129  05 

126  19 

123  15 

119  48 

"5  58 

1     00 

lO 

137  10 

135  43 

134  06 

132  22 

130  29 

128  25 

126  10 

123  41 

120  58 

117  59 

114  44 

in  09 

10 

20 

132  30 

130  58 

129  20 

127  34 

125  41 

123  37 

121  23 

118  57 

116  20 

113  30 

no  25 

107  05 

20 

30 

128  09 

126  37 

124  57 

123  13 

121  19 

119  18 

117  07 

114  46 

112  16 

109  34 

106  41 

103  34 

30 

40 

124  08 

122  36 

120  58 

119  13 

117  22 

"5  23 

113  17 

in  02 

108  39 

106  07 

103  24 

100  31 

40 

50 

120  26 

"855 

117  17 

115  35 

113  47 

in  52 

109  50 

107  41 

105  24 

103  00 

100  i8 

97  46 

60 

2 

OO 

116  58 

115  28 

"3  52 

112  14 

no  28 

108  37 

106  40 

104  37 

102  27 

100  II 

9748 

95  17 

2     00 

lO 

113  45 

112  17 

no  44 

109  07 

107  25 

:o5  38 

103  46 

loi  49 

99  45 

97  37 

95  22 

93  00 

10 

20 

no  43 

109  18 

107  47 

106  14 

104  35 

102  52 

loi  05 

99  13 

97  15 

95  13 

93  06 

90  53 

20 

30 

107  52 

106  29 

105  02 

103  31 

101  56 

100  17 

98  34 

96  47 

94  56 

93  00 

90  59 

88  53 

30 

40 

105  II 

103  50 

102  26 

100  57 

99  26 

97  51 

96  13 

94  29 

92  43 

90  53 

88  59 

87  00 

40 

60 

102  39 

loi  20 

99  57 

98  33 

97  05 

95  34 

93  59 

92  21 

90  39 

8854 

87  06 

85  12 

60 

3 

00 

100  13 

9857 

97  37 

96  14 

94  50 

93  22 

91  51 

90  17 

88  40 

87  00 

85  16 

83  29 

3     00 

10 

97  54 

9639 

95  22 

94  03 

92  41 

91  16 

89  49 

88  18 

8645 

85  10 

83  32 

81  50 

10 

20 

95  41 

94  28 

93  13 

91  57 

9038 

89  17 

8752 

86  25 

84  57 

83  25 

81  51 

80  13 

20 

30 

93  32 

92  21 

91  09 

89  55 

88  39 

87  20 

85  59 

8436 

83  10 

81  42 

80  13 

78  39 

30 

40 

91  28 

90  20 

8909 

8757 

8643 

85  27 

84  10 

82  49 

81  27 

80  03 

7836 

77  07 

40 

50 

89  27 

88  21 

87  13 

86  03 

8451 

8338 

82  23 

81  05 

79  47 

7825 

77  02 

7536 

60 

4 

OO 

8730 

86  26 

85  20 

84  12 

83  03 

81  52 

8039 

79  25 

78  08 

76  50 

75  31 

74  09 

4     00 

lO 

85  35 

8432 

83  28 

82  23 

8i  16 

80  07 

7858 

77  45 

76  31 

75  16 

73  59 

72  40 

10 

20 

83  43 

82  42 

81  41 

80  37 

79  32 

78  26 

77  17 

76  08 

74  57 

73  45 

72  31 

71  15 

20 

30 

81  54 

80  55 

79  54 

7853 

77  5" 

76  45 

75  39 

74  32 

73  24 

72  14 

71  02 

69  49 

30 

40 

80  05 

79  08 

78  10 

77  10 

76  08 

75  06 

74  02 

72  57 

71  51 

70  43 

69  35 

68  24 

40 

50 

78  20 

77  24 

76  27 

75  28 

74  29 

73  28 

72  27 

71  23 

70  19 

69  14 

68  07 

6659 

50 

5 

OO 

76  35 

75  40 

74  44 

73  48 

72  50 

71  52 

70  52 

69  51 

68  48 

67  46 

66  41 

65  34 

5     00 

lO 

74  51 

73  58 

73  04 

72  09 

71  13 

70  16 

69  17 

68  18 

67  18 

66  17 

65  15 

64  II 

10 

20 

73  08 

72  16 

71  24 

70  31 

69  35 

68  40 

67  45 

6647 

6549 

64  50 

63  49 

62  47 

20 

30 

71  26 

70  36 

69  45 

6853 

67  59 

67  06 

66  n 

65  15 

64  18 

63  21 

62  23 

61  22 

30 

40 

69  45 

6857 

68  05 

67  14 

66  24 

65  31 

6438 

63  43 

62  49 

61  53 

6056 

59  58 

40 

50 

68  04 

67  16 

66  28 

6538 

64  48 

6358 

63  06 

62  13 

61  20 

60  25 

59  31 

58  34 

50 

6 

OO 

66  23 

6536 

64  49 

64  01 

63  J2 

62  23 

61  33 

60  41 

5950 

5857 

58  04 

57  09 

6     00 

lO 

64  42 

6358 

63  II 

62  24 

61  37 

60  49 

60  00 

59  10 

58  21 

57  30 

5638 

55  44 

10 

20 

63  03 

62  19 

61  34 

60  48 

60  01 

59  15 

58  27 

57  39 

56  52 

56  02 

55  II 

54  20 

20 

30 

61  21 

60  39 

59  55 

59  II 

58  26 

57  40 

56  55 

56  08 

55  21 

54  33 

53  44 

52  54 

30 

40 

59  41 

5859 

58  17 

57  33 

56  49 

56  06 

55  21 

54  35 

53  50 

53  03 

52  17 

51  29 

40 

50 

58  00 

57  20 

5638 

55  56 

55  13 

54  31 

53  48 

53  04 

52  20 

51  34 

50  49 

50  02 

60 

7 

OO 

56  18 

55  39 

54  59 

54  18 

53  37 

52  55 

52  14 

51  31 

50  47 

50  04 

49  21 

48  34 

7     00 

lO 

54  35 

53  58 

53  19 

52  40 

52  00 

51  20 

50  39 

49  58 

49  16 

48  34 

47  51 

47  07 

10 

20 

52  54 

52  17 

51  40 

51  01 

50  22 

49  43 

49  04 

48  24 

47  43 

47  03 

46  21 

45  39 

20 

30 

51  12 

50  36 

49  59 

49  21 

48  44 

48  07 

47  28 

46  49 

46  10 

45  31 

44  51 

44  10 

30 

40 

49  28 

48  54 

48  18 

47  42 

47  05 

46  29 

45  52 

45  15 

44  37 

43  59 

43  20 

42  40 

40 

50 

47  45 

47  II 

46  36 

46  01 

45  26 

44  51 

44  15 

43  39 

43  03 

42  26 

41  49 

41  II 

60 

8 

OO 

45  59 

45  26 

44  53 

44  19 

43  45 

43  II 

42  37 

42  02 

41  27 

40  52 

40  15 

39  39 

8     00 

lO 

44  14 

43  43 

43  10 

42  37 

42  08 

41  32 

40  59 

40  25 

39  51 

39  17 

3843 

38  07 

10 

20 

42  27 

41  57 

41  26 

40  54 

40  23 

39  52 

39  19 

38  47 

38  15 

37  42 

37  09 

36  36 

20 

30 

40  40 

40  11 

39  41 

39  II 

38  40 

38  10 

37  40 

37  09 

36  37 

36  06 

35  34 

35  02 

30 

40 

3852 

3824 

37  55 

37  26 

36  57 

36  28 

35  59 

35  29 

35  00 

34  29 

34  00 

33  28 

40 

50 

37  03 

3636 

36  08 

35  41 

35  12 

34  45 

34  17 

33  49 

33  21 

32  52 

32  23 

31  53 

60 

9 

OO 

35  12 

34  47 

34  21 

33  54 

33  28 

33  01 

32  35 

32  07 

31  40 

31  13 

30  46 

30  18 

9     00 

lO 

33  21 

32  57 

32  32 

32  07 

31  42 

31  17 

30  51 

30  26 

30  00 

29  34 

29  09 

28  42 

10 

20 

31  30 

31  07 

30  43 

30  19 

29  56 

29  32 

29  07 

28  43 

28  19 

27  53 

27  30 

27  05 

20 

30 

29  37 

29  15 

28  53 

28  31 

28  08 

27  46 

27  22 

27  00 

2637 

26  14 

25  51 

25  27 

30 

40 

27  43 

27  23 

27  02 

26  41 

26  19 

25  58 

25  38 

25  15 

24  54 

24  32 

24  II 

23  48 

40 

50 

2548 

25  29 

25  10 

24  51 

24  31 

24  10 

23  51 

23  30 

23  II 

22  50 

22  30 

22  10 

60 

lO 

OO 

23  54 

23  35 

23  17 

22  58 

22  40 

22  22 

22  04 

21  45 

21  27 

21  08 

20  50 

20  30 

10     00 

lO 

21  57 

21  40 

21  24 

21  06 

20  50 

20  33 

20  16 

19  59 

19  41 

19  24 

19  08 

18  49 

10 

20 

20  00. 

19  45 

19  30 

19  14 

1859 

18  44 

18  28 

18  12 

17  57 

17  41 

17  26 

17  09 

20 

30 

18  03 

17  49 

17  35 

17  21 

17  07 

16  53 

16  39 

16  25 

16  II 

15  57 

15  42 

15  28 

30 

40 

16  03 

15  51 

15  39 

15  26 

15  15 

15  02 

14  49 

14  37 

14  25 

14  12 

13  5Q 

13  46 

40 

L50 

14  05 

13  54 

13  44 

13  32 

13  21 

13  10 

13  00 

12  48 

12  38 

12  26 

12  16 

12  04 

50 

11 

OO 

12  05 

II  56 

II  46 

II  37 

1127 

n  18 

II  09 

10  59 

10  50 

10  40 

10  31 

10  21 

11     00 

lO 

10  05 

9  57 

9  49 

942 

9  34 

9  26 

9  19 

9  10 

9  03 

8  54 

8  46 

8  38 

10 

20 

8  06 

758 

7  52 

7  46 

7  39 

7  33 

7  27 

7  20 

7  15 

7  08 

7  01 

6  54 

20 

30 

6  04 

5  59 

5  54 

5  50 

5  45 

5  41 

5  34 

5  30 

5  26 

5  21 

5  16 

5  II 

30 

40 

4  03 

4  00 

356 

3  53 

3  50 

3  47 

3  43 

3  41 

338 

3  34 

3  31 

3  27 

40 

50 

2  02 

2  00 

I  58 

156 

I  55 

I  53 

I  52 

I  50 

I  49 

I  47 

I  45 

I  44 

50 

12 

OO 

6  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuthsare  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


219 


AZIMUTH  OR  TRUE  BEARING. 


iJLTrrvms  5 

3°. 

DECLINATION- 

SAME  NAME  AS— I^ATITUDE. 

liATITUDE  53°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

56° 

66° 

67° 

58° 

59° 

Hour  Angle. 

li. 

m. 

0    f 

■  0     r 

0    / 

0     r 

0    / 

0    ' 

0    / 

0    / 

0    / 

0    / 

0    / 

0     r 

b.          ni. 

0 

00 

180  00 

180  00 

i8o  00 

180  00 

180  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0          00 

10 

161  23 

157  35 

151  36 

141   26 

122  18 

89  00 

55  05 

35  45 

24  49 

18  43 

14  47 

12  06 

10 

20 

145  35 

139  50 

131  58 

121  02 

106  12 

88  00 

69  25 

53  46 

42  03 

33  37 

27  29 

22   56 

20 

30 

133  24 

127  19 

"9  45 

no  27 

99  21 

87  00 

74  22 

62  35 

52  26 

44  04 

37  18 

3i  53 

30 

40 

124  13 

118  28 

"I  45 

104  00 

95  20 

86  00 

76  28 

67  12 

58  40 
62  32 

51  05 

44  31 

3856 

40 

50 

117  13 

I"  59 

106  06 

99  35 

92  29 

85  00 

77  30 

6946 

55  49 

49  43 

44  17 

50 

1 

00 

III  43 

106  59 

loi  50 

96  14 

90  15 

84  00 

77  37 

71  12 

■64  59 

59  02 

53  28 

48  21 

1          00 

10 

107  14 

102  56 

98  25 

93  31 

88  21 

83  00 

77  30 

71  59 

66  32 

61  14 

56  II 

51  25 

10 

20 

103  30 

99  39 

95  34 

91  13 

86  41 

81  59 

77  II 

72  19 

67  30 

62  45 

58  08 

53  42 

20 

30 

100  17 

96  47 

93  05 

89  12 

8508 

80  58 

76  42 

72  22 

68  02 

63  45 

59  31 

55  25 

30 

40 

97  28 

94  16 

90  53 

87  22 

83  43 

7958 

76  07 

72  12 

68  17 

64  21 

60  29 

56  41 

40 

50 

94  57 

92  00 

88  54 

8542 

82  22 

78  57 

75  26 

71  53 

68  18 

64  41 

61  07 

57  35 

50 

2 

00 

92  39 

89  55 

87  04 

84  06 

81  04 

77  55 

74  43 
73  56 

71  27 

68  09 

6450 

61  30 

58  I2 

2          00 

10 

90  33 

88  00 

85  22 

82  37 

7948 

7654 

70  55 

67  52 

6447 

61  41 

5836 

10 

20 

88  35 

86  II 

83  44 

8i  11 

7833 

75  52 

73  07 

70  18 

67  28 

6436 

61  41 

5848 

20 

30 

86  44 

8430 

82  II 

79  47 

77  21 

74  50 

72  16 

6938 

6659 

64  17 

61  34 

5851 

30 

40 

8458 

82  52 

80  41 

7827 

76  08 

73  48 

71  22 

•    ^  55 

6625 

6354 

61  21 

5846 

40 

50 

83  17 

81  17 

79  14 

7708 

7458 

72  45 

70  29 

68  10 

65  49 

6325 

61  01 

5834 

50 

3 

00 

81  40 

79  47 

77  50 

75  50 

73  47 

71  42 

69  33 

6722 

65  09 

62  53 

6036 

58  17 

3           00 

10 

8006 

78  17 

76  28 

74  33 

72  37 

7038 

6836 

6632 

64  26 

62  18 

60  07 

57  56 

10 

20 

78  34 

76  51 

75  06 

73  18 

71  28 

69  35 

67  39 

65  40 

63  41 

61  39 

59  35 

57  29 

20 

30 

77  04 

75  26 

73  46 

72  03 

70  j8 

68  30 

66  40 

6448 

62  54 

60  57 

58  59 

56  59 

30 

40 

75  36 

74  03 

72  27 

70  49 

6909 

67  26 

65  40 

63  53 

62  05 

60  13 

58  21 

56  26 

40 

50 

74  09 

72  40 

71  09 

69  34 

6758 

66  20 

64  40 

62  57 

61  14 

59  27 

57  40 

55  50 

50 

« 

00 

72  44 

71  19 

69  51 

68  21 

66  48 

65  15 

63  39 

62  01 

60  21 

58  40 

56  57 

55  12 

4           00 

10 

71  20 

69  57 

68  33 

67  07 

65  39 

64  09 

62  37 

61  03 

59  27 

57  50 

56  10 

54  30 

10 

20 

69  57 

6837 

67  17 

65  53 

64  28 

63  02 

61  34 

60  04 

5832 

5658 

55  23 

53  46 

20 

30 

68  34 

67  18 

65  59 

6440 

63  18 

61  55 

60  31 

59  03 

57  35 

56  05 

54  33 

53  00 

30 

40 

67  12 

6558 

64  43 

63  26 

62  07 

60  47 

59  26 

58  02 

5638 

55  II 

53  42 

52  13 

40 

50 

65  50 

64  39 

63  26 

62  12 

6056 

59  39 

58  20 

57  00 

55  39 

54  15 

52  50 

51  24 

50 

5 

00 

64  27 

63  18 

62  09 

6057 

59  44 

5830 

57  14 

55  57 

54  38 

53  18 

51  56 

5033 

5           00 

10 

63  05 

61  59 

60  52 

59  42 

58  32 

57  21 

56  07 

54  53 

53  37 

52  19 

51  01 

49  40 

10 

20 

61  43 

60  39 

59  34 
58  17 

58  27 

57  20 

56  II 

55  00 

53  47 

52  35 

51  20 

50  04 

48  46 

20 

30 

60  21 

59  19 

57  12 

5606 

55  00 

53  52 

52  42 

51  31 

50  19 

49  06 

47  51 

30 

40 

5859 

57  59 

56  59 

55  56 

54  53 

5348 

52  42 

51  35 

50  27 

49  17 

4807 

46  54 

40 

50 

57  37 

56  39 

55  41 

54  40 

53  39 

52  36 

51  32 

50  27 

49  22 

48  14 

47  06 

45  57 

50 

6. 

00 

56  14 

55  18 

54  21 

53  22 

52  23 

51  23 

50  22 

49  19 

48  16 

47  II 

46  05 

44  57 

6           00 

10 

54  51 

53  57 

53  02 

52  05 

51  08 

50  10 

49  II 

48  09 

47  09 

46  05 

45  02 

43  57 

10 

20 

53  29 

52  36 

51  42 

50  47 

49  52 

4856 

47  59 

4659 

46  01 

45  00 

43  59 

42  56 

20 

30 

52  05 

51  13 

50  22 

49  28 

48  35 

47  41 

46  45 

4548 

44  52 

43  53 

42  53 

41  52 

30 

40 

5040 

49  51 

49  01 

48  10 

47  17 

46  25 

45  32 

44  36 

43  41 

42  45 

41  47 

40  49 

40 

50 

49  15 

48  27 

47  39 

46  49 

46  00 

45  09 

44  15 

43  24 

42  31 

41  36 

4041 

39  45 

60 

7 

00 

47  50 

47  03 

46  17 

45  29 

44  41 

43  52 

43  01 

42  II 

41  19 

40  26 

39  33 

38  39 

7           00 

10 

46  22 

45  39 

44  54 

44  07 

43  21 

42  34 

41  45 

40  55 

40  06 

39  15 

38  24 

37  32 

10 

20 

44  57 

44  14 

43  30 

42  45 

42  00 

41  15 

40  28 

39  41 

38  53 

3804 

37  14 

36  24 

20 

30 

43  29 

42  47 

42  06 

41  22 

4039 

39  55 

39  10 

3825 

3738 

36  51 

36  03 

35  15 

30 

40 

42  01 

41  21 

40  41 

39  59 

39  17 

3835 

37  52 

37  08 

36  23 

3538 

34  52 

34  05 

40 

50 

40  33 

39  54 

39  15 

3835 

37  55 

37  14 

36  32 

35  50 

3508 

34  24 

33  39 

32  55 

50 

8 

00 

39  03 

38  25 

37  48 

37  09 

36  31 

35  52 

35  12 

34  31 

33  51 

33  09 

32  26 

31  43 

8           00 

10 

37  32 

36  57 

30  21 

35  44 

35  07 

34  30 

33  51 

33  12 

32  33 

31  53 

31  13 

30  32 

10 

20 

36  02 

35  27 

34  53 

34  18 

33  42 

33  06 

32  30 

31  52 

31  14 

30  36 

29  57 

29  18 

20 

30 

34  30 

33  57 

33  24 

32  50 

32  16 

31  42 

31  07 

30  32 

29  56 

29  19 

2841 

28  04 

30 

40 

32  58 

32  26 

31  54 

31  22 

30  50 

30  17 

2943 

29  09 

2836 

28  00 

27  26 

26  50 

40 

50 

31^ 

30  54 

30  25 

29  54 

29  23 

28  51 

2820 

2747 

27  15 

26  42 

26  09 

25  34 

50 

9 

00 

29  50 

29  21 

28  53 

28  23 

27  54 

27  25 
2558 

26  55 

26  24 

25  54 

25  21 

24  50 

24  18 

9          00 

10 

2!  16 

2748 

27  21 

26  54 

26  26 

25  29 

25  00 

24  32 

24  02 

23  31 

23  01 

10 

20 

26  40 

26  14 

25  49 

25  22 

24  57 

24  30 

24  04 

23  36 

23  09 

22  41 

22  13 

21  43 

20 

30 

25  04 

24  40 

24  16 

23  51 

23  27 

23  02 

22  37 

22  lO 

21  45 

21  19 

20  52 

20  25 

30 

40 

23  26 

23  04 

22  43 

22  19 

21  56 

21  33 

21  09 

2045 

20  21 

19  56 

19  32 

19  06 

40 

50 

21  50 

21  29 

21  07 

20  46 

20  24 

20  03 

19  41 

19  18 

1856 

1833 

18  II 

17  47 

50 

10 

00 

20  II 

19  52 

19  33 

19  13 

1853 

18  33 

18  12 

17  52 

17  31 

17  10 

16  49 

16  27 

10           00 

10 

1833 

18  15 

17  57 

17  39 

17  20 

17  02 

1644 

16  24 

16  06 

15  46 

15  26 

15  06 

10 

20 

J6  53 

16  37 

16  21 

16  05 

X548 

15  31 

15  14 

14  56 

14  40 

14  22 

14  04 

13  46 

20 

30 

15  14 

14  59 

H  45 

14  29 

14  15 

13  59 

13  44 

13  29 

13  13 

12  56 

12  41 

12  24 

30 

40 

13  34 

13  20 

13  07 

12  54 

12  41 

12  27 

12  13 

II  59 

II  46 

n  31 

II  17 

II  02 

40 

50 

11  52 

11  42 

II  30 

II  18 

II   07 

10  55 

10  42 

10  30 

10  18 

10  06 

953 

940 

&0 

11 

00 

10  II 

10  01 

952 

I14 

8  06 

9  32 

9  22 

9  II 

9  OO- 

851 

8  39 

829 

8  19 

11           00 

10 

8  30 

8  22 

7  57 

7  49 

7  39 

7  31 

7  23 

7  14 

7  05 

6  56 

10 

20 

6  49 

6  42 

6  36 

629 

6  22 

6  15 

6  09 

6  01 

4  26 

548 

5  40 

5  33 

20 

30 

5  07 

5  02 

4  57 

4  51 

4  46 

442 

4  37 

4  31 

4  20 

4  16 

4  10 

30 

40 

3  24 

3  21 

318 

3  14 

3  " 

30» 

3  05 

.3  01 

2  57 

2  54 

2  51 

2  47 

40 

50 

I  42 

I  40 

I  39 

I  37 

136 

I  34 

I  32 

I  31 

I  29 

I  26 

I  25 

I  23 

50 

12 

00 

0  00 

0  00 

,0  00 

0  00 

0  00 

0  00 

0  00 

000 

0  00 

0  00 

0  00 

0  00 

12           00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


220 


AZIMUTH   OR  TRUE  BEARING. 


liATITUDX;  53°. 

DECLINATION— SAME  NAME  AS- 

-I.ATITUDE. 

liATITUDE  53°. 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

6»° 

70° 

Hour  Angle. 

li. 

m. 

O   ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  /• 

0  / 

0  / 

0  / 

li.    m. 

O 

OO 

O  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0          00 

lO 

10  o8 

•  837 

7  27 

6  29 

5  43 

5  03 

4  30 

4  02 

336 

3  15 

2  55 

10 

20 

19  27 

16  43 

14  32 

•12  44 

II  14 

9  59 

855 

758 

7  09 

627 

5  49 

20 

30 

27  31 

23  57 

21  00 

18  32 

16  27 

14  40 

13  07 

II  47 

10  35 

9  33 

837 

30 

40 

34  10 

30  08 

26  42 

23  45 

21  13 

19  00 

17  05 

15  23 

13  52 

12  32 

II  19 

40 

60 

39  29 

35  16 

31  34 

28  20 

25  28 

22  57 

20  43 

1845 

1658 

15  22 

13  54 

50 

1 

OO 

43  41 

39  28 

35  41 

32  16 

29  14 

26  30 

24  02 

21  50 

19  49 

18  00 

16  22 

1     00 

lO 

4658 

42  52 

39  06 

3538 

32  29 

2938 

27  01 

24  37 

22  26 

20  29 

18  38 

10 

20 

49  31 

45  34 

41  53 

38  27 

35  17 

32  21 

29  38 

27  08 

24  50 

22  42 

20  45 

20 

30 

51  29 

47  43 

44  10 

40  48 

37  39 

34  42 

31  57 

29  22 

26  59 

24  45 

22  42 

30 

40 

52  59 

49  25 

46  01 

42  45 

39  39 

36  43 

33  57 

31  20 

28  53 

2636 

24  27 

40 

50 

54  09 

50  45 

47  28 

44  19 

41  18 

3825 

35  40 

33  04 

30  35 

28  14 

26  02 

50 

2 

00 

54  57 

51  45 

4839 

45  37 

42  40 

39  52 

37  09 

34  34 

32  05 

29  43 

27  28 

2     00 

lO 

55  32 

52  31 

49  32 

46  38 

43  51 

41  03 

38  24 

35  50 

33  22 

31  00 

28  45 

10 

20 

55  55 

53  02 

50  13 

47  26 

44  41 

42  02 

39  26 

36  54 

34  29 

32  07 

29  51 

20 

30 

56  07 

53  24 

50  43 

48  03 

45  24 

42  49 

40  18 

37  49 

35  25 

33  06 

30  50 

30 

40 

56  II 

53  36 

51  02 

48  28 

43  56 

43  26 

40  59 

38  34 

36  13 

33  55 

31  41 

40 

60 

56  07 

53  40 

51  13 

48  45 

46  20 

43  55 

41  32 

39  II 

36  52 

34  37 

32  24 

50 

3 

OO 

55  58 

53  37 

51  17 

4855 

46  35 

44  15 

41  57 

39  40 

37  24 

35  II 

33  01 

3     00 

lO 

55  42 

5328 

51  14 

4858 

46  43 

44  29 

42  14 

40  01 

37  49 

35  39 

36  00 

33  31 

10 

20 

55  22 

53  13 

51  05 

48  55 

46  45 

44  35 

42  25 

40  16 

38  07 

33  54 

20 

30 

5458 

52  55 

50  51 

4847 

46  42 

44  36 

42  31 

40  25 

38  20 

36  16 

34  12 

30 

40 

54  30 

52  33 

50  34 

48  34 

46  33 

44  32 

42  30 

40  29 

38  27 

36  27 

34  26 

40 

50 

53  59 

52  06 

50  12 

48  17 

46  21 

44  23 

42  26 

40  28 

3830 

36  32 

34  34 

60 

4 

OO 

53  24 

51  35 

49  46 

47  56 

46  03 

44  II 

42  17 

40  23 

38  27 

36  33 

34  37 

4     00 

10 

52  47 

51  03 

49  18 

47  31 

45  43 

43  54 

42  04 

40  13 

38  21 

36  30 

34  38 

10 

20 

52  08 

50  27 

4846 

47  03 

45  19 

43  34 

41  47 

40  00 

38  II 

36  23 

34  33 

20 

30 

5t  26 

49  49 

48  11 

46  32 

44  52 

43  10 

41  27 

39  44 

37  58 

36  12 

34  26 

30 

40 

50  42 

49  09 

47  35 

45  59 

44  22 

42  43 

41  04 

39  23 

37  41 

3558 

34  J5 

40 

50 

49  56 

48  27 

46  56 

45  23 

43  49 

42  14 

40  38 

39  01 

37  21 

35  42 

34  01 

50 

6 

OO 

49  oR 

47  41 

46  15 

44  45 

43  14 

41  42 

40  10 

38  35 

36  59 

35  22 

33  44 

5    00 

lO 

48  18 

46  55 

45  31 

44  04 

42  36 

41  07 

39  38 

3806 

36  33 

34  59 

33  24 

10 

20 

47  27 

46  07 

44  46 

43  23 

41  58 

40  31 

39  05 

37  36 

3606 

34  35 

33  02 

20 

30 

46  35 

45  17 

43  59 

42  38 

41  16 

39  53 

38  29 

37  03 

35  36 

34  07 

32  37 

30 

40 

45  41 

44  26 

43  10 

41  52 

40  33 

39  13 

37  51 

36  28 

35  03 

33  37 

32  II 

40 

60 

44  45 

43  33 

42  20 

41  04 

39  48 

38  30 

37  11 

35  51 

34  29 

33  oO 

31  41 

50 

6 

OO 

43  48 

42  39 

41  28 

40  16 

39  01 

37  46 

36  30 

35  12 

33  52 

32  32 

31  09 

6    00 

lO 

42  50 

41  43 

40  35 

39  24 

38  12 

37  00 

35  47 

34  31 

33  15 

31  56 

30  37 

10 

20 

41  52 

40  46 

39  41 

3833 

37  23 

36  13 

35  02 

33  50 

32  35 

31  20 

30  02 

20 

30 

40  52 

39  48 

38  44 

37  38 

36  32 

35  24 

34  15 

33  05 

31  53 

30  40 

29  25 

30 

40 

39  50 

3849 

37  47 

36  44 

35  39 

34  34 

33  27 

32  19 

31  09 

29  59 

28  47 

40 

50 

38  46 

37  48 

36  49 

3548 

34  45 

33  42 

32  38 

31  33 

30  25 

29  17 

28  07 

50 

7 

OO 

37  43 

36  46 

35  49 

34  50 

33  50 

32  50 

31  48 

30  44 

29  40 

28  34 

27  27 

7    00 

lO 

3638 

35  43 

34  48 

33  51 

32  54 

31  55 

30  56 

29  55 

28  52 

27  49 

26  44 

10 

20 

35  33 

34  40 

33  47 

32  52 

31  57 

31  00 

30  02 

29  04 

28  04 

27  03 

26  00 

20 

30 

34  25 

33  35 

32  44 

31  52 

30  58 

30  04 

29  08 

28  12 

27  14 

26  15 

25  15 

30 

40 

33  18 

32  29 

31  40 

30  50 

29  58 

29  06 

28  13 

27  18 

26  23 

25  26 

24  28 

40 

50 

32  10 

31  22 

30  35 

29  47 

28  58 

28  08 

27  16 

26  24 

25  31 

24  37 

23  41 

50 

8 

OO 

31  00 

30  15 

29  30 

28  42 

27  5<^ 

27  08 

26  19 

25  29 

2438 

23  45 

22  53 

8     00 

lO 

29  50 

29  07 

28  23 

27  38 

26  53 

26  08 

25  20 

24  33 

23  44 

22  54 

22  03 

10 

ao 

28  38 

27  57 

27  16 

26  33 

25  50 

25  06 

24  22 

23  36 

22  49 

22  01 

21  12 

20 

'^ 

30 

27  26 

26  47 

26  08 

25  27 

24  46 

24  04 

23  21 

22  38 

21  53 

21  07 

20  21 

30 

40 

26  13 

25  36 

24  58 

24  20 

23  41 

23  01 

22  20 

21  39 

20  56 

20  12 

19  28 

40 

50 

25  00 

24  24 

23  48 

23  12 

22  34 

21  57 

21  18 

20  39 

1958 

19  17 

1835 

50 

9 

OO 

23  45 

23  II 

22  37 

22  03 

21  27 

20  52 

20  15 

1938 

19  00 

18  21 

17  40 

9     00 

lO 

28  30 

21  58 

21  26 

20  53 

20  20 

19  46 

19  12 

18  37 

18  01 

17  24 

16  46 

10 

20 

21  IS 

20  45 

20  14 

19  43 

19  12 

18  40 

18  07 

17  35 

17  00 

16  26 

15  51 

20 

30 

1958 

19  30 

19  02 

18  32 

18  03 

17  33 

17  03 

16  32 

16  00 

15  28 

14  55 

30 

40 

18  41 

18  14 

17  48 

17  21 

16  53 

16  25 

15  58 

15  28 

14  59 

14  29 

13  57 

40 

50 

17  23 

16  59 

16  35 

16  09 

15  43 

15  18 

14  52 

14  25 

13  57 

13  29 

13  00 

60 

lO 

00 

16  05 

15  43 

15  21 

14  57 

14  33 

14  09 

13  45 

13  21 

12  55 

12  29 

12  02 

10     00 

lO 

14  46 

14  26 

14  05 

13  44 

13  22 

13  00 

12  38 

12  15 

II  52 

II  28 

II  04 

10 

20 

13  28 

13  08 

12  50 

12  31 

12  II 

II  51 

II  31 

II  10 

10  49 

ID  27 

10  05 

20 

30 

12  08 

II  51 

II  34 

11  17 

10  59 

10  41 

10  23 

10  04 

9  45 

9  26 

9  05 

30 

40 

10  48 

10  33 

10  18 

10  02 

9  47 

9  31 

9  14 

8  58 

8  40 

8  24 

8  05 

40 

50 

9  27 

9  14 

9  02 

8  48 

834 

8  21 

8  06 

7  51 

7  37 

7  21 

706 

50 

11 

OO 

8  07 

756 

7  45 

7  33 

7  21 

7  09 

657 

6  45 

632 

6  19 

6  06 

11     00 

> 

lO 

6  46 

637 

6  28 

6  18 

6  08 

558 

548: 

5  37 

5  27 

5  16 

5  05 

10 

20 

526 

5  '7 

5  10 

5  03 

4  55 

4  47 

4  39 

4  31 

4  22 

4  14 

4  04 

20 

SO 

4  04 

358 

3  53 

3  47 

3  41 

3  35 

3  29 

3  23 

3  16 

3  10 

3  03 

30 

40 

2  43 

2  39 

2  35 

2  31 

2  27 

2  24 

2  20 

2  15 

2  II 

2  07 

2  02 

40 

50 

I  22 

I  20 

I  18 

I  16 

I  14 

I  12 

I  10 

I  08 

I  05 

I  03 

I  01 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Aorth  latitude,  when  the  star  is  rising^  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


221 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  5 

40. 

DECLINATION- 

-SAME  NAME 

AS— I,ATITUDE. 

I^ATITUDE  54°. 

Hoar  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

]l.      lU. 

0  ' 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  ' 

0  ' 

0  I 

b.    in. 

O     OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

iSo  00 

180  00 

180  00 

180  00 

0    00 

lO 

175  26 

175  20 

175  13 

175  06 

174  59 

174  50 

174  41 

174  31 

174  21 

174  09 

173  57 

173  44 

10 

20 

170  54 

170  41 

170  28 

170  14 

169  59 

169  43 

169  25 

169  06 

168  46 

168  23 

167  59 

167  32 

20 

30 

166  25 

i66  07 

165  48 

165  27 

165  04 

164  41 

164  15 

16348 

163  18 

162  45 

162  10 

101  31 

30 

40 

162  01 

161  38 

161  12 

160  45 

160  16 

159  46 

159  13 

15837 

157  59 

157  18 

156  32 

155  43 

40 

50 

157  43 

157  13 

156  42 

156  10 

155  35 

154  59 

154  19 

15338 

152  53 

152  04 

151  II 

150  14 

50 

1        00 

153  32 

152  58 

152  23 

151  46 

151  06 

150  25 

149  39 

148  52 

148  00 

147  04 

146  06 

145  01 

1    00 

10 

149  28 

148  51 

148  12 

147  31 

146  46 

146  00 

145  10 

144  18 

143  22 

142  21 

141  17 

140  07 

10 

20 

145  33 

144  53 

144  09 

143  25 

142  38 

141  48 

140  54 

139  58 

^38  58 

137  54 

136  46 

135  33 

.  20 

30 

^4i  46 

141  02 

140  18 

139  30 

138  39 

137  47 

136  50 

135  51 

134  49 

133  41 

132  31 

131  16 

30 

40 

138  08 

137  22 

136  35 

135  45 

134  52 

13358 

132  59 

131  59 

130  54 

129  45 

12833 

127  17 

40 

50 

134  38 

133  51 

133  02 

132  10 

131  16 

130  20 

129  20 

128  17 

127  II 

126  02 

124  49 

123  32 

50 

2     00 

131  17 

130  28 

129  37 

128  44 

127  49 

126  52 

125  51 

124  48 

123  42 

122  32 

121  19 

120  02 

2     00 

.  10 

128  04 

127  14 

126  22 

125  28 

124  31 

123  35 

122  34 

121  29 

120  23 

119  13 

118  01 

116  45 

10 

20 

124  57 

124  07 

123  15 

122  20 

121  24 

120  27 

119  25 

1x8  22 

117  16 

116  06 

114  54 

113  39 

20 

30 

121  59 

121  08 

120  16 

119  22 

11825 

117  27 

116  26 

115  23 

114  17 

113  08 

111  57 

no  43 

30 

40 

no  07 

118  16 

117  24 

116  29 

115  33 

114  35 

"3  34 

112  32 

III  27 

no  19 

109  09 

107  57 

40 

50 

116  22 

"5  31 

114  38 

113  44 

112  48 

III  51 

no  50 

109  49 

10845 

107  38 

106  30 

105  18 

50 

■i           00 

113  42 

112  52 

III  58 

III  05 

no  09 

109  13 

108  13 

107  13 

106  09 

105  04 

104  57 

102  48 

3     00 

10 

III  07 

no  16 

109  25 

108  31 

107  37 

106  40 

105  42 

104  43 

103  40 

102  36 

101  30 

100  22 

10 

20 

108  38 

107  48 

106  56 

106  04 

105  09 

104  14 

103  16 

102  18 

loi  17 

100  14 

99  10 

9804 

20 

30 

106  13 

105  24 

104  32 

103  40 

102  47 

loi  53 

100  55 

99  57 

9858 

97  57 

96  54 

95  49 

30 

40 

103  52 

103  03 

102  13 

loi  22 

100  29 

99  35 

9839 

97  42 

96  44 

95  44 

94  43 

93  40 

40 

50 

101  35 

100  47 

99  57 

99  07 

98  15 

97  22 

96  27 

95  31 

94  34 

93  35 

92  36 

91  34 

50 

4     00 

99  22 

9835 

97  45 

9656 

96  05 

95  12 

94  18 

93  24 

92  28 

91  31 
89  28 

90  32 

89  33 

4     00 

10 

97  II 

96  24 

95  35 

94  46 

93  57 

93  05 

92  12 

91  19 

90  24 

88  31 

8733 

10 

20 

95  03 

94  16 

93  29 

92  41 

91  51 

91  02 

90  09 

89  17 

88  23 
86  26 

8729 

8633 

8536 

30 

30 

92  58 

92  12 

91  25 

9038 

8950 

89  00 

88  09 

87  18 

8532 

8438 

83  42 

30 

40 

90  55 

90  10 

89  24 

88  37 

8749 

87  01 

86  12 

85  21 

84  29 

83  37 

82  44 

8149 

40 

50 

88  54 

88  09 

87  24 

86  38 

8551 

8504 

84  15 

83  26 

82  35 

81  45 

80  52 

80  00 

50 

5     00 

8654 

86  10 

85  25 

84  40 

83  54 

8308 

82  20 

81  32 

8043 

79  54 

79  03 

78  II 

5     00 

10 

8456 

84  13 

83  29 

8245 

81  59 

81  14 

80  27 

79  40 

7852 

7803 

75  26 

76  23 

10 

20 

82  59 

82  17 

81  33 

80  51 

80  05 

79  21 

78  35 

77  49 

77  01 

76  14 

74  36 

20 

30 

81  03 

80  21 

79  39 

7856 

78  12 

77  29 

76  44 

7558 

75  12 

74  26 

73  39 

72  51 

30 

40 

7909 

78  27 

77  45 

77  04 

76  21 

75  38 

74  54 

74  10 

73  25 

72  39 

71  52 

71  05 

40 

50 

77  14 

76  34 

75  52 

75  II 

74  30 

73  47 

73  05 

72  22 

71  37 

70  53 

7007 

69  21 

SO 

6     00 

75  20 

7441 

74  01 

73  20 

72  39 

71  58 

71  16 

70  33 

69  49 

69  07 

68  22 

6738 

6     00 

10 

73  26 

72  47 

72  08 

71  29 

70  48 

70  08 

69  27 

6845 

68  02 

67  20 

6638 

65  54 

10 

20 

71  33 

70  56 

70  16 

6938 

6859 

68  19 

67  39 

6658 

66  17 

6536 

6453 

64  10 

20 

30 

69  40 

69  03 

68  25 

67  47 

67  09 

6630 

65  50 

65  II 

64  30 

63  49 

6308 

62  27 

30 

40 

67  47 

67  10 

6633 

6556 

65  18 

64  40 

64  02 

63  22 

62  43 

62  04 

61  24 

60  43 

40 

50 

65  54 

65  18 

64  41 

6405 

63  27 

62  51 

62  13 

61  35 

60  57 

60  18 

59  39 

5859 

50 

7     00 

64  00 

63  25 

62  49 

62  13 

61  37 

61  01 

60  24 

59  48 

59  09 

5833 

57  55 

57  16 

f           00 

10 

62  05 

6i  31 

6056 

60  21 

59  46 

59  10 

5835 

57  59 

57  22 

56  46 

56  09 

55  31 

10 

20 

60  II 

59  37 

59  03 

58  29 

57  54 

57  20 

■56  45 

56  10 

55  34 

54  59 

54  22 

53  46 

20 

30 

58  16 

57  43 

57  10 

56  37 

56  03 

55  29 

54  55 

54  21 

53  46 

53  12 

52  37 

52  01 

30 

40 

56  20 

5548 

55  16 

54  43 

54  10 

53  37 

53  04 

52  31 

51  57 

51  24 

50  49 

50  15 

40 

50 

54  24 

53  52 

53  20 

52  49 

52  17 

51  45 

51  13 

50  40 

50  08 

49  36 

49  03 

48  30 

50 

8     00 

52  25 

51  55 

51  24 

50  53 

50  23 

49  52 

49  20 

48  48 

48  17 

47  46 

47  14 

46  41 

8     00 

10 

50  27 

49^ 

4928 

4858 

48  28 

4758 

47  28 

46  57 

46  27 

45  56 

45  26 

44  54 

10 

20 

48  27 

4758 

47  30 

47  01 

46  32 

46  03 

45  33 

45  04 

44  34 

44  05 

43  36 

43  05 

20 

30 

46  27 

45  59 

45  31 

45  04 

44  35 

44  07 

4338 

43  11 

42  42 

42  14 

41  45 

41  16 

30 

40 

44  25 

43  58 

43  31 

43  04 

42  37 

42  II 

41  43 

41  15 

40  48 

40  21 

39  53 

39  26 

40 

50 

42  22 

41  57 

41  31 

41  05 

40  38 

40  12 

39  46 

39  20 

3854 

38  27 

38  02 

37  35 

50 

»     00 

40  17 

39  53 

3928 

39  03 

3^38 

38  14 

37  49 

37  24 

3658 

3633 

36  oS 

35  43 

9     00 

10 

38  13 

37  49 

37  25 

37  02 

3638 

36  14 

35  50 

35  25 

35  02 

34  38 

34  14 

33  50 

10 

20 

3606 

35  43 

35  20 

34  57 

34  35 

34  12 

33  50 

33  27 

3305 

32  42 

32  19 

31  56 

20 

30 

33  58 

33  36 

33  15 

32  54 

32  32 

32  10 

31  50 

31  28 

3106 

3044 

30  23 

30  02 

30 

40 

31  49 

31  28 

31  08 

30  48 

30  2S 

30  08 

29  47 

29  27 

29  06 

2847 

28  26 

28  06 

40 

50 

2939 

29  19 

29  01 

28  42 

28  23 

28  03 

27  45 

27  25 

27  07 

26  47 

26  28 

26  10 

50 

10     00 

27  27 

27  09 

26  51 

26  34 

26  16 

25  59 

25  41 

25  23 

25  05 

2448 

24  30 

24  12 

10     00 

10 

25  14 

24^ 

.24  41 

24  25 

24  08 

23  52 

23  36 

23  19 

23  03 

22  47 

22  31 

22  14 

10 

20 

•23  00 

22  46 

22  30 

22  16 

22  01 

21  45 

21  31 

21  16 

21  01 

20  45 

20  31 

20  16 

20 

30 

20  46 

20  33 

20  19 

20  05 

19  52 

1938 

19  24 

19  n 

1857 

1844 

18  30 

18  16 

30 

40 

18  30 

18  17 

18  05 

17  53 

17  42 

17  29 

17  16 

17  05 

16  52 

16  40 

16  28 

16  16 

40 

50 

16  13 

16  02 

15  52 

15  41 

15  31 

15  20 

15  09 

1458 

14  47 

14  37 

14  27 

14  15 

50 

11     00 

13  56 

13  47 

13  37 

13  28 

13  19 

13  10 

13  01 

12  51 

12  42 

12  33 

12  23 

12  15 

11     00 

10 

II  37 

II  30 

II  22 

II  15 

II  06 

10  59 

10  51 

10  44 

10  35 

10  29 

10  21 

10  13 

10 

20 

9  19 

9  13 

9  06 

9  00 

854 

848 

841 

835 

8  30 

8  23 

817 

8  II 

20 

30 

7  00 

655 

6  50 

6  45 

6  41 

6  36 

631 

627 

6  22 

6  18 

613 

6  08 

30 

40 

4  40 

4  37 

4  33 

4  30 

4  27 

4  24 

4  21 

4  18 

4  15 

4  12 

4  09 

4  06 

40 

50 

2  20 

2  18 

3  17 

2  15 

2  13 

2  12 

2  II 

2  09 

2  08 

2  06 

2  04 

2  03 

60 

12     00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Jforth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Soatb  latltnde,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


222 


AZIMUTH  OR  TRUE  BEARING. 


1 

liATITUDE  5 

4°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

liATlTUDK  54°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

b. 

in. 

O  1 

0  / 

0  / 

0  / 

0  ; 

0   / 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

h.    m. 

O 

OO 

i8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

173  28 

173  II 

172  53 

172  31 

172  07 

171  39 

171  07 

170  29 

169  43 

168  49 

167  40 

166  13 

10 

20 

167  03 

166  30 

165  53 

165  12 

164  25 

163  33 

162  31 

161  19 

159  55 

158  14 

156  10 

153  36 

20 

30 

160  49 

160  01 

159  09 

158  II 

157  05 

155  51 

154  26 

152  48 

150  55 

148  39 

145  59 

142  46 

30 

40 

154  50 

153  51 

152  47 

151  34 

150  13 

148  43 

147  01 

145  04 

142  50 

140  16 

137  16 

133  47 

40 

50 

149  11 

148  02 

146  47 

145  24 

143  53 

142  II 

140  17 

138  09 

135  45 

133  02 

129  55 

126  24 

50 

1 

OO 

143  52 

142  36 

141  14 

139  44 

138  05 

136  16 

134  16 

132  03 

129  34 

126  49 

123  44 

120  17 

1    00 

10 

138  53 

137  32 

136  05 

134  31 

132  48 

130  55 

128  51 

126  37 

124  09 

121  26 

118  27 

115  10 

10 

20 

134  15 

132  51 

131  21 

129  44 

127  59 

126  06 

124  03 

121  49 

119  23 

116  46 

113  54 

no  48 

20 

30 

129  56 

128  30 

126  59 

125  21 

123  36 

121  43 

119  41 

117  30 

115  10 

112  39 

109  56 

107  01 

30 

40 

125  55 

124  29 

122  57 

121  19 

119  36 

117  44 

115  46 

113  39 

III  24 

108  59 

106  25 

103  42 

40 

50 

122  II 

120  45 

119  14 

117  38 

115  55 

114  07 

112  II 

no  09 

108  00 

105  43 

103  16 

100  42 

60 

2 

OO 

iiS  41 

117  16 

115  46 

114  II 

112  32 

no  46 

10855 

106  57 

104  53 

102  43 

100  25 

98  00 

2     00 

lO 

"5  25 

114  01 

112  34 

III  01 

109  24 

107  42 

105  54 

104  02 

102  03 

99  59 

97  48 

95  32 

10 

20 

1X2  20 

110  58 

109  32 

108  02 

106  28 

104  49 

103  06 

lOI  18 

99  25 

97  27 

95  23 

93  14 

20 

30 

109  25 

108  06 

106  42 

105  15 

103  44 

102  08 

100  29 

9845 

96  57 

95  04 

93  07 

91  05 

30 

40 

106  41 

105  23 

104  01 

102  36 

loi  08 

99  36 

98  00 

96  21 

94  38 

92  51 

90  59 

8903 

40 

50 

104  05 

102  48 

loi  30 

100  07 

9842 

97  13 

95  41 

94  05 

92  27 

90  45 

88  58 

8708 

50 

3 

OO 

loi  35 

100  21 

99  04 

97  45 

96  22 

94  57 

93  28 

91  56 

90  22 

88  44 

87  02 

85  18 

3     00 

lO 

99  12 

98  00 

96  45 

95  28 

94  09 

92  46 

91  21 

89  53 

88  22 

86  48 

85  II 

83  31 

10 

20 

96  55 

95  45 

94  32 

93  18 

92  00 

90  41 

89  18 

87  54 

86  26 

8456 

83  24 

81  49 

20 

30 

94  42 

93  34 

92  24 

91  12 

89  57 

88  40 

87  21 

8559 

84  36 

83  09 

81  40 

80  09 

30 

40 

92  34 

89  26 

90  20 

89  10 

8758 

8644 

85  27 

8408 

82  48 

81  25 

79  59 
78  21 

78  32 

40 

50 

90  30 

88  20 

87  12 

86  02 

84  50 

8336 

82  21 

81  03 

79  43 

76  57 

50 

4 

OO 

8831 

87  28 

■  86  23 

85  17 

84  10 

83  00 

81  48 

80  35 

79  20 

7803 

76  44 

75  23 

4     00 

lO 

86  33 

8532 

84  29 

83  25 

8.2  19 

81  II 

80  02 

78  52 

77  39 

7626 

75  09 

73  51 

10 

20 

84  38 

8339 

8237 

81  35 

8031 

79  26 

78  20 

77  10 

76  01 

74  49 

73  36 

72  21 

20 

30 

82  45 

81  47 

80  48 

79  48 

7845 

77  43 

76  37 

75  31 

74  24 

73  15 

72  03 

70  51 

30 

40 

80  55 

79  59 

79  00 

78  02 

77  02 

76  01 

74  58 

73  53 

7248 

71  41 

70  33 

69  23 

40 

50 

79  05 

78  II 

77  15 

76  17 

75  19 

74  19 

73  19 

72  17 

71  13 

70  08 

69  02 

67  55 

60 

5 

OO 

77  18 

76  25 

75  30 

74  34 

7338 

72  40 

71  40 

70  40 

69  39 

6837 

67  32 

66  27 

5     00 

lO 

75  32 

74  40 

73  46 

72  53 

71  57 

71  02 

70  04 

69  05 

68  06 

67  06 

6603 

65  00 

10 

20 

73  46 

72  56 

72  04 

71  II 

70  18 

69  24 

68  28 

67  31 

6633 

65  35 

64  34 

63  34 

20 

30 

72  01 

71  13 

70  22 

69  31 

6839 

67  46 

66  52 

65  57 

65  01 

64  05 

63  05 

62  07 

30 

40 

70  18 

69  30 

68  41 

67  51 

67  01 

66  09 

65  16 

64  23 

63  29 

62  34 

61  37 

60  40 

40 

60 

6836 

6748 

67  00 

66  12 

65  24 

64  33 

63  41 

62  50 

61  57 

61  04 

60  09 

59  14 

50 

6 

OO 

6652 

66  06 

65  20 

64  33 

63  45 

62  57 

62  07 

61  17 

60  25 

59  34 

5840 

57  47 

6     00 

lO 

65  09 

64  26 

63  39 

62  53 

62  07 

61  20 

60  32 

59  43 

58  53 

58  03 

57  II 

56  20 

10 

20 

63  28 

62  44 

62  00 

61  15 

60  30 

59  44 

58  57 

58  10 

57  22 

56  33 

55  43 

54  53 

20 

30 

61  45 

61  04 

60  20 

59  37 

5852 

58  08 

57  22 

5636 

55  49 

55  02 

54  13 

53  25 

30 

40 

60  03 

59  21 

58  40 

5757 

57  15 

56  31 

55  47 

55  02 

54  17 

53  31 

52  44 

51  57 

40 

50 

58  20 

57  41 

56  59 

56  18 

55  37 

54  55 

54  12 

5328 

5244 

52  00 

51  15 

50  29 

50 

7 

OO 

56  37 

5558 

55  18 

54  39 

5358 

53  18 

52  36 

51  54 

51  II 

5029 

49  45 

49  00 

7     00 

lO 

54  54 

54  ]6 

53  37 

52  59 

52  20 

51  39 

50  59 

50  18 

49  37 

48  56 

48  13 

47  31 

10 

20 

53  10 

52  33 

51  56 

51  18 

5041 

50  02 

49  23 

48  43 

48  03 

47  23 

46  42 

46  01 

20 

30 

51  25 

50  50 

50  15 

49  37 

49  01 

4823 

47  46 

47  07 

46  29 

45  50 

45  10 

44  30 

30 

40 

49  41 

49  07 

4831 

47  56 

47  21 

46  45 

46  08 

45  31 

44  53 

44  17 

43  37 

43  00 

40 

50 

47  56 

47  23 

46  48 

46  14 

45  40 

45  05 

44  30 

43  54 

43  19 

42  43 

42  05 

41  28 

50 

8 

OO 

46  10 

45  37 

45  05 

44  31 

4358 

43  25 

42  51 

42  16 

41  41 

41  07 

40  31 

39  55 

8    00 

lO 

44  23 

43  52 

43  20 

42  48 

42  17 

41  44 

41  II 

40  38 

40  04 

39  31 

38  57 

3823 

10 

20 

42  35 

42  06 

41  35 

41  04 

40  34 

40  02 

39  31 

38  59 

3827 

37  55 

37  22 

36  49 

20 

30 

40  48 

40  18 

39  49 

39  20 

38  50 

38  20 

37  49 

37  19 

36  49 

36  18 

35  46 

35  15 

30 

40 

3858 

38  30 

38  02 

37  34 

37  06 

36  37 

-3608 

35  39 

35  10 

34  41 

34  10 

33  40 

40 

50 

37  09 

36  42 

36  14 

35  47 

35  21 

34  53 

34  26 

3358 

33  30 

33  02 

32  33 

32  04 

50 

9 

OO 

35  17 

34  51 

34  26 

34  01 

33  35 

33  08 

32  42 

32  16 

31  49 

31  22 

30  54 

30  28 

9     00 

lO 

33  25 

33  01 

32  36 

32  12 

31  47 

31  23 

30  59 

30  33 

30  07 

2942 

29  16 

28  50 

10 

20 

31  33 

31  10 

30  47 

30  25 

30  01 

2937 

29  13 

28  50 

28  25 

28  02 

27  37 

27  13 

20 

30 

29  41 

29  19 

28  56 

28  34 

28  12 

27  50 

27  28 

27  05 

26  43 

26  21 

25  58 

25  34 

30 

40 

27  45 

27  25 

27  05 

26  44 

26  22 

26  02 

25  41 

25  21 

25  00 

24  39 

24  17 

23  55 

40 
50 

50 

25  50 

25  31 

25  13 

24  53 

24  34 

24  15 

23  54 

23  35 

23  15 

22  56 

22  36 

22  16 

lO 

OO 

23  55 

23  37 

23  19 

23  02 

22  43 

22  25 

22  08 

21  49 

21  31 

21  13 

2054 

20  35 

10   00 

10 

lO 

21  58 

21  42 

21  25 

21  oS 

20  52 

20  36 

20  19 

20  03 

19  46 

19  29 

19  II 

18  55 

20 

20  00 

19  4.6 

19  31 

19  16 

19  01 

18  46 

18  30 

18  15 

18  00 

17  45 

17  29 

17  13 

20 
30 
40 
50 

30 

18  03 

17  49 

17  36 

17  23 

17  09 

16  55 

16  41 

16  27 

16  14 

16  00 

15  45 

15  32 

40 

16  04 

15  52 

15  40 

15  28 

15  16 

15  04 

14  52 

14  39 

14  27 

14  14 

14  02 

13  49 

50 

14  05 

13  54 

13  44 

13  33 

13  22 

13  12 

13  01 

12  51 

12  39 

12  29 

12  17 

12  07 

11 

OO 

12  05 

II  56 

II  47 

II  38 

II  29 

II  20 

11  10 

11  00 

10  51 

10  43 

10  33 

10  23 

11     00 

lO 

10  05 

9  57 

9  49 

9  42 

9  34 

9  27 

9  19 

9  II 

9  04 

856 

8  48 

840 

10 

20 

8  05 

758 

7  52 

7  46 

7  40 

7  34 

72! 

7  22 

7  15 

7  09 

7  02 

6  56 

20 

30 

6  04 

5  59 

5  54 

5  50 

5  45 

5  41 

5  36 

5  32 

5  27 

5  23 

5  17 

5  13 

30 

40 

4  02 

4  00 

3  56 

3  53 

3  50 

3  47 

3  44 

3  41 

338 

3  35 

3  31 

3  29 

40 

50 

2  02 

2  00 

I  58 

I  57 

156 

I  54 

I  52 

I  51 

I  49 

I  47 

I  46 

I  44 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Aorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


223 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  5 

4°. 

DECI.INATION- 

-SAME  NAME  AS— lyATITUDE. 

1 

latitcjde:  54°. 

Hour  A 

ngle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

56° 

56° 

57° 

68° 

59° 

Hour  Angle. 

h. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  > 

0  / 

0  r 

0  ; 

0  / 

0  / 

h.    m. 

O 

OO 

i8o  OO 

180  00 

180  CX) 

180  00 

180  00 

180  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

164  20 

161  43 

15758 

152  06 

142  02 

122  55 

8859 

54  26 

34  38 

24  14 

18  15 

14  23 

10 

20 

150  21 

146  07 

140  26 

132  35 

121  36 

106  33 

87  59 

6859 

53  05 

41  18 

32  54 

26  50 

30 

30 

138  50 

133  59 

127  55 

120  17 

no  52 

99  36 

86  58 

74  02 

62  02 

51  44 

43  17 

36  32 

30 

40 

129  39 

124  47 

118  59 

112  12 

104  20 

95  30 

85  57 

76  II 

66  43 

58  01 

50  21 

43  44 

40 

50 

122  21 

"7  43 

112  26 

106  28 

99  50 

92  36 

8456 

77  05 

69  20 

61  57 

5508 

4858 

50 

1 

OO 

116  26 

112  09 

107  22 

102  07 

96  25 

90  19 

8355 

77  22 

70  50 

64  27 

5824 

52  45 

1     00 

lO 

III  33 

107  37 

103  18 

98  39 

93  39 

88  24 

82  54 

77  16 

71  38 

66  03 

60  39 

55  30 

10 

20 

107  26 

103  48 

99  54 

95  45 

91  19 

86  41 

81  53 

7658 

71  59 

6703 

62  12 

57  29 

20 

30 

103  53 

100  33 

96  59 

93  14 

89  15 

8508 

80  51 

76  29 

72  03 

67  36 

63  13 

5854 

30 

40 

100  47 

97  41 

94  26 

91  00 

87  24 

8341 

79  50 

75  54 

71  53 

67  53 

63  52 

59  54 

40 

50 

97  59 

9508 

92  08 

8859 

8543 

82  18 

78  48 

75  13 

71  34 

67  54 

64  13 

60  33 

50 

2 

OO 

95  27 

92  48 

90  01 

8707 

84  06 

8059 

77  46 

74  29 

71  08 

67  46 

64  21 

6058 

2     00 

10 

93  08 

90  39 

88  03 

85  23 

82  35 

79  42 

76  44 

73  42 

70  36 

67  29 

64  19 

61  10 

10 

20 

91  00 

88  40 

86  14 

83  43 

81  07 

78  27 

75  41 

72  52 

70  00 

6706 

64  09 

61  II 

20 

30 

8858 

8647 

84  30 

82  08 

79  43 

77  12 

74  39 

72  01 

69  20 

6637 

63  51 

61  05 

30 

40 

87  03 

84  59 

82  50 

80  37 

78  20 

75  59 

73  35 

71  07 

6837 

66  04 

63  28 

60  51 

40 

50 

85  14 

83  17 

$1  15 

79  10 

77  01 

74  48 

72  32 

70  13 

67  52 

65  27 

63  00 

60  32 

50 

3 

OO 

8329 

81  38 

79  43 

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73  37 

71  28 

69  17 

67  03 

64  47 

62  28 

60  08 

3     00 

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8i  48 

80  02 

78  12 

76  20 

74  24 

72  25 

70  24 

68  20 

66  13 

64  04 

61  53 

59  39 

10 

20 

80  10 

78  29 

76  45 

74  57 

73  07 

71  15 

69  20 

67  22 

65  21 

63  18 

61  14 

59  07 

20 

30 

78  34 

7658 

75  18 

73  37 

71  52 

70  04 

68  15 

66  22 

64  28 

62  32 

60  32 

58  32 

30 

40 

77  02 

75  29 

73  54 

72  16 

70  36 

6854 

67  10 

65  23 

63  33 

61  43 

59  48 

57  53 

40 

50 

75  30 

74  02 

72  30 

70  57 

69  22 

67  44 

66  04 

64  22 

62  38 

60  51 

59  03 

57  12 

&0 

4 

OO 

74  00 

72  35 

71  09 

69  39 

68  07 

6633 

64  58 

63  21 

61  40 

59  58 

58  15 

56  28 

4     00 

lO 

72  31 

71  10 

6946 

68  20 

6652 

65  23 

63  51 

62  17 

60  42 

59  04 

57  25 

55  43 

10 

20 

71  04 

69  46 

68  25 

67  02 

6538 

64  12 

62  44 

61  14 

59  42 

58  09 

56  33 

54  56 

20 

30 

69  37 

68  21 

67  04 

65  45 

64  24 

63  00 

61  36 

60  10 

58  42 

57  II 

55  40 

54  06 

30 

40 

68  II 

66  59 

65  44 

64  27 

63  09 

61  50 

60  28 

59  05 

57  40 

56  13 

54  45 

53  16 

40 

50 

66  46 

6536 

64  23 

63  09 

61  55 

6038 

59  19 

58  00 

56  37 

55  15 

53  49 

52  23 

50 

5 

OO 

65  20 

64  13 

63  03 

61  52 

60  40 

59  26 

58  10 

56  53 

55  34 

54  14 

52  52 

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5     00 

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63  56 

62  50 

61  42 

60  34 

59  24 

58  13 

57  00 

55  46 

54  30 

53  13 

.  51  53 

50  33 

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20 

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61  27 

60  23 

59  16 

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57  00 

55  50 

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53  24 

52  n 

50  54 

49  37 

20 

30 

61  06 

60  05 

59  02 

57  58 

56  53 

55  46 

5438 

53  29 

52  19 

51  07 

49  54 

48  39 

30 

40 

59  41 

58  42 

57  41 

56  40 

55  37 

54  32 

53  27 

52  20 

51  12 

5S°3 

48  51 

47  39 

40 

50 

58  17 

57  20 

56  20 

55  21 

54  20 

53  18 

52  15 

51  10 

50  04 

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47  49 

46  39 

50 

6 

OO 

56  52 

55  57 

55  00 

54  02 

53  03 

52  02 

51  01 

^"^^1 

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,  47  51 

46  45 

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55  27 

54  32 

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48  48 

47  46 

46  44 

45  40 

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10 

20 

54  02 

53  10 

52  15 

51  22 

50  27 

49  31 

48  34 

47  36 

46  36 

45  36 

44  35 

43  31 

20 

30 

52  35 

51  45 

50  54 

50  01 

49  07 

48  13 

47  18 

46  23 

45  25 

44  27 

43  27 

42  27 

30 

40 

51  09 

50  20 

49  30 

48  40 

47  49 

4656 

46  03 

45  09 

44  13 

43  17 

42  19 

41  21 

40 

50 

49  42 

4855 

48  06 

47  18 

46  28 

45  37 

44  46 

43  54 

43  00 

42  06 

41  II 

40  15 

50 

7 

OO 

48  15 

47  30 

46  43 

45  55 

45  07 

44  19 

43  29 

42  39 

41  47 

40  55 

40  01 

3908 

7     00 

lO 

46  47 

46  03 

45  18 

44  32 

43  46 

42  59 

42  II 

41  22 

40  32 

39  42 

38  51 

37  59 

10 

20 

45  19 

44  37 

43  52 

4308 

42  24 

41  38 

40  52 

40  06 

39  18 

38  30 

3740 

36  50 

20 

30 

43  50 

43  09 

42  27 

41  45 

41  02 

40  18 

39  33 

3848 

38  02 

37  16 

36  28 

35  40 

30 

40 

42  20 

41  41 

41  00 

40  19 

39  39 

3856 

38  13 

37  30 

36  45 

36  01 

35  15 

34  28 

40 

50 

40  50 

40  12 

39  33 

3854 

38  14 

37  34 

36  52 

36  II 

35  28 

34  46 

34  01 

33  16 

50 

8 

OO 

39  19 

38  43 

3805 

37  27 

36  49 

36  10 

35  30 

34  50 

34  10 

33  28 

32  46 

32  03 

8     00 

10 

37  48 

37  13 

36  37 

36  00 

35  24 

34  47 

34  09 

33  31 

32  52 

•32  12 

31  31 

30  50 

10 

20 

36  16 

35  42 

3508 

34  33 

33  58 

33  22 

32  45 

32  09 

31  32 

30  53 

32  ^§ 

29  36 

20 

30 

34  43 

34  II 

33  37 

33' 05 

32  31 

31  57 

31  22 

30  47 

30  II 

29  35 

28  58 

28  21 

30 

40 

33  09 

3238 

32  07 

31  35 

31  03 

30  31 

29  57 

29  24 

28  so 

28  16 

27  41 

27  05 

40 

50 

3135 

31  06 

30  36 

3005 

29  35 

29  04 

28  33 

28  01 

27  28 

26  56 

26  22 

25  49 

50 

9 

OO 

29  59 

29  32 

29  04 

2835 

28  06 

27  37 

27  06 

26  37 

26  06 

25  35 

25  03 

24  32 

9     00 

lO 

28  24 

27  58 

27  31 

27  03 

26  37 

26  09 

25  40 

25  12 

24  42 

24  13 

23  44 

23  13 

10 

20 

26  48 

26  24 

2558 

25  32 

25  06 

24  40 

24  13 

23  46 

23  19 

22  51 

22  23 

21  55 

20 

30 

25  II 

2448 

24  24 

23  59 

23  36 

23  II 

22  46 

22  21 

21  54 

21  29 

21  02 

20  36 

30 

40 

23  33 

23  12 

22  49 

22  27 

22  04 

21  41 

21  17 

20  54 

20  30 

20  08 

19  40 

19  16 

40 

50 

21  55 

21  35 

21  14 

20  53 

20  32 

20  II 

19  49 

19  27 

19  05 

18  42 

18  18 

17  56 

50 

lO 

OO 

20  17 

1958 

1938 

19  20 

19  00 

18  40 

18  20 

17  59 

17  39 

17  18 

16  57 

16  35 

10     00 

lO 

18  37 

18  20 

18  02 

17  44 

17  26 

17  08 

16  50 

16  31 

16  12 

15  53 

15  34 

15  14 

10 

20 

16  57 

16  41 

16  25 

16  09 

15  53 

15  36 

15  19 

15  03 

14  46 

14  28 

14  10 

13  53 

20 
30 

30 

15  17 

15  03 

14  49" 

14  33 

14  19 

14  04 

13  49 

13  34- 

13  18 

13  02 

12  46 

12  30 

40 

13  36 

13  23 

13  10 

12  58 

12  45 

12  31 

12  18 

12  04 

II  51 

II  36 

II  22 

II  08 

40 

50 

II  55 

II  44 

II  33 

II  22 

II  09 

10  58 

10  46 

10  34 

10  22 

10  II 

958 

9  45 

50 

11 

OO 

10  14 

10  04 

9  55 

9  44 

9  35 

9,25 

9  14 

9  04 

8  54 

843 

833 

8  22 

11     00 

10 

832 

8  24 

8  15 

8  07 

7  59 

7  51 

7  43 

7  34 

726 

7  17 

7  07 

6  59 

10 

ao 

6  50 

6  44 

637 

631 

6  24 

6  17 

6  10 

6  03 

5  57 

5  50 

5  42 

536 

20 

30 

508 

5  03 

458 

4  53 

448 

4  43 

4  38 

4  33 

4  27 

4  23 

4  17 

'^  '0 

30 

40 

3  25 

3  22 

3  19 

3  15 

3  12 

3  09 

3  05 

3  02 

258 

2  55 

2  52 

2  48 

40 

50 

I  42 

I  41 

I  39 

I  37 

I  36 

I  34 

I  33 

I  31 

I  30 

I  28 

T  26 

I  24 

60 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  >'orth  latitude^  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


224 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  54°. 

DECLINATION— SAME  NAME  AS— 

LATITUDE. 

l.ATI'iUBE  54°. 

Honr  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

6iJ0 

69° 

70° 

Hour  Angle. 

li. 

111. 

0  / 

-0  ' 

0  / 

0  / 

0  1 

0  ' 

0  ' 

0  / 

0  ' 

0  1 

0  ' 

It.    ni. 

O 

•  OO 

0  00 

0  00 

0  (X> 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  cx> 

0  00 

0     00 

lO 

11  45 

9  49 

8  21 

7  12 

6  16 

5  30 

4  53 

4  19 

3  52 

3  28 

3  06 

10 

20 

2220 

18  54 

16  13 

14  05 

12  19 

10  51 

9  37 

8  34 

7  39 

651 

6  09 

20 

30 

31"  09 

26  48 

23  17 

20  22 

17  56 

15  53 

14  09 

12  38 

11  19 

10  09 

9  07 

30 

40 

38  07 

33  22 

29  22 

25  57 

23  02 

20  32 

18  22 

16  27 

14  48 

13  18 

II  59 

40 

50 

43  29 

38  40 

34  27 

30  46 

27  32 

24  42 

22  12 

19  59 

18  02 

16  16 

14  41 

50 

1 

OO 

47  34 

42  51 

3837 

34  50 

31  25 

28  2-\ 

25  40 

23  13 

21  02 

19  03 

17  15 

1     00 

10 

50  40 

46  09 

42  00 

38  13 

34  44 

31  36 

28  44 

26  07 

23  46 

21  36 

19  37 

10 

20 

53  00 

48  44 

44  44 

41  01 

37  32 

34  21 

31  25 

.28  42 

26  13 

23  55 

21  48 

20 

30 

54  44 

50  44 

4654 

43  18 

39  54 

36  43 

33  45 

30  59 

28  25 

26  02 

23  49 

30 

40 

56  01 

52  15 

4838 

45  10 

41  51 

3843 

35  45 

32  58 

30  22 

27  55 

25  36 

40 

50 

56  57 

53  24 

49  58 

46  39 

43  27 

40  23 

37  28 

34  42 

32  04 

29  35 

27  14 

50 

2 

00 

57  35 

54  16 

51  00 

47  51 

44  45 

41  45 

3855 

36  09 

33  33 

31  03 

28  40 

2     00 

10 

58  00 

54  52 

51  47 

48  45 

45  47 

42  55 

40  07 

37  25 

34  50 

32  20 

29  57 

10 

20 

58  13 

55  16 

52  20 

49  27 

46  35 

43  49 

41  06 

38  28 

35  54 

33  26 

31  04 

20 

30 

58  17 

55  30 

52  42 

49  57 

47  13 

44  33 

41  55 

39  19 

36  50 

34  23 

32  02 

30 

40 

58  13 

55  34 

52  55 

50  17 

47  40 

45  06 

42  33 

40  02 

37  35 

35  12 

32  51 

40 

60 

58  02 

55  32 

53  00 

50  29 

47  59 

45  30 

43  02 

40  35 

38  12 

»  35  52 

33  34 

60 

3 

00 

57  45 

55  22 

52  58 

50  34 

48  09 

45  46 

4323  ! 

41  01 

38  42 

36  24 

3408 

3     00 

10 

57  24 

55  07 

52  50 

50  33 

48  13 

45  55 

4338 

41  20 

39  05 

36  50 

34  37 

10 

20 

5658 

54  48 

52  36 

50  24 

48  II 

4558 

43  45 

41  32 

39  20 

37  08 

34  59 

20 

30 

56  29 

54  24 
53  50 

52  18 

50  12 

48  04 

45  56 

43  48 

41  38 

39  31 

37  22 

35  15 

30 

40 

55  55 

51  56 

49  55 

47  51 

45  49 

43  44 

41  39 

39  36 

37  31 

35  26 

40 

50 

55  20 

53  26 

51  30 

49  34 

47  35 

45  36 

43  37 

41  36 

39  35 

37  34 

35  33 

50 

4 

00 

54  41 

52  51 

51  00 

49  08 

47  15 

45  20 

43  25 

41  27 

39  30 

37  33 

35  35 

4     00 

10 

54  00 

52  15 

50  29 

48  40 

46  50 

45  Of 

43  09 

41  15 

39  22 

37  27 

35  33 

10 

20 

53  16 

51  35 

49  53 

48  09 

46  23 

44  37 

42  49 

40  59 

39  10 

37  19 

35  27 

20 

30 

52  3t 

50  54 

49  15 

47  35 

45  53 

44  10 

42  26 

40  40 

3854 

37  06 

35  17 

30 

40 

51  44 

50  II 

48  35 

46  59 

45  21 

43  41 

42  01 

40  18 

3835 

36  51 

35  05 

40 

50 

50  55 

49  25 

47  53 

46  21 

44  45 

43  09 

41  32 

39  52 

38  13 

36  31 

34  49 

50 

5 

00 

50  04 

4838 

47  09 

45  40 

44  08 

42  34 

41  00 

39  24 

37  48- 

36  10 

34  31 

5     00 

10 

49  II 

47  48 

46  23 

44  56 

43  28 

41  59 

40  27 

38  54 

37  21 

35  45 

34  08 

10 

20 

48  18 

46  57 

45  35 

44  II 

42  46 

41  20 

39  52 

38  22 

3^  51 

35  19 

33  44 

20 

30 

47  22 

46  05 

44  46 

43  25 

42  02 

40  39 

39  14 

37  47 

36  18 

34  50 

33  iS 

30 

40 

46  26 

45  II 

43  55 

42  37 

41  16 

39  56 

38  34 

37  10 

35  45 

34  18 

32  49 

40 

50 

45  28 

44  16 

43  02 

41  47 

40  29 

39  II 

37  53 

36  31 

3508 

33  44 

32  19 

50 

6 

00 

44  29 

43  20 

42  08 

40  56 

39  41 

38  25 

37  09 

35  50 

34  30 

33  09 

31  46 

6     00 

10 

43  29 

42  22 

41  12 

40  02 

3851 

37  38 

36  23 

35  07 

33  50 

32  32 

31  II 

10 

20 

42  28 

41  23 

40  16 

39  09 

37  59 

36  49 

35  37 

34  24 

33  10 

31  53 

30  35 

20 

30 

41  25 

40  23 

39  18 

38  13 

37  06 

35  59 

34  49 

33  38 

32  26 

31  13 

29  57 

30 

40 

40  21 

39  21 

38  19 

37  16 

36  12 

35  07 

33  59 

32  51 

31  41 

30  30 

29  18 

40 

50 

39  17 

38  19 

37  19 

36  19 

35  16 

34  13 

33  09 

32  03 

30  56 

29  47 

28  37 

50 

7 

00 

38  12 

37  16 

36  18 

35  20 

34  20 

33  19 

32  16 

31  13 

30  08 

29  02 

27  54 

7     00 

10 

37  05 

36  11 

35  15 

34  19 

33  22 

32  23 

31  23 

30  22 

29  19 

28  16 

27  10 

10 

20 

35  58 

35  06 

34  12 

33  18 

32  23 

31  26 

30  28 

29  29 

28  29 

27  28 

26  25 

20 

30 

34  50 

33  59 

33  08 

32  16 

31  23 

30  28 

29  33 

2836 

27  39 

26  40 

25  39 

30 

40 

33.41 

32  53 

32  03 

31  13 

30  22 

29  29 

28  36 

27  42 

26  46 

25  49 

24  51 

40 

50 

32  31 

31  44 

30  57 

30  09 

29  19 

28  30 

27  39 

26  46 

25  53 

24  58 

24  03 

50 

8 

00 

31  19 

30  36 

29  50 

29  04 

28  16 

27  29 

26  40 

25  49 

24  59 

24  07 

23  13 

8     00 

le 

30  08 

29  26 

28  42 

27  58 

26  oS 

26  27 

25  40 

24  53 

24  04 

23  13 

22  23 

10 

20 

2856 

28  15 

27  34 

26  52 

25  24 

24  39 

23  53 

23  08 

22  20 

21  31 

20 

30 

27  43 

27  04 

26  24 

25  44 

25  03 

24  21 

23  39 

22  55 

22  10 

21  25 

20  38 

30 
40 

40 

26  28 

25  52 

25  14 

24  36 

23  57 

23  17 

22  36 

21  55 

21  12 

20  29 

19  45 

50 

25  14 

24  39 

24  03 

23  27 

22  49 

22  12 

2t  34 

20  53 

20  13 

19  32 

18  51 

50 

9 

00 

23  58 

23  25 

22  51 

22  16 

21  41 

21  06 

20  29 

19  52 

19  14 

18  35 

17  55 

0     00 

10 

22  43 

22  II 

21  39 

21  07 

20  33 

20  00 

19  25 

18  49 

18  14 

17  37 

16  59 

10 

20 

21  26 

20  56 

20  26 

19  55 

19  24 

1853 

iS  20 

17  47 

17  13 

16  39 

16  03 

20 

30 

20  09 

19  40 

19  12 

iS  44 

18  15 

17  45 

17  14 

16  43 

16  II 

15  39 

15  06 

30 

40 

18  51 

18  25 

17  58 

17  31 

17  04 

16  37 

16  08 

15  39 

15  09 

14  39 

14  09 

40 
50 

50 

17  32 

17  08 

16  43 

16  19 

15  54 

15  28 

15  01 

14  34 

14  07 

13  38 

13  10 

lO 

00 

16  14 

15  51 

15  29 

15  06 

14  42 

14  18 

13  54 

13  29 

13  04 

12  37 

12  II 

10     00 
10 
20 
30 
40 

10 

14  54 

14  33 

14  12 

13  52 

13  30 

13  08 

12  46 

12  23 

12  00 

II  36 

II  12 

20 

13  34 

13  15 

12  57 

12  38 

12  i3 

II  58 

II  38 

II  17 

10  57 

10  35 

10  12 

30 

12  14 

II  57 

II  40 

II  23 

11  05 

10  48 

10  29 

10  11 

9  51 

9  32 

9  13 

40 

10  53 

10  38 

10  23 

10  08 

952 

9  37 

9  20 

9  04 

8  47 

8  29 

8  12 

50 

9  32 

9  20 

9  06 

853 

838 

8  25 

8  10 

756 

7  42 

726 

7  II 

50 

11 

00 

8  II 

8  00 

7  48 

7  37 

7  25 

7  14 

7  01 

6  49 

6  36 

623 

6  10 

11     00 
10 
20 
30 
40 
50 

10 

6  50 

6  40 

6  30 

6  21 

6  II 

6  02 

5  51 

5  41 

5  30 

5  20 

508 

20 

5  28 

5  21 

5  13 

5  05 

4  57 

4  49 

4  41 

4  33 

4  24 

4  16 

4  07 

30 

4  06 

4  00 

3  55 

3  49 

3  43 

3  37 

3  31 

3  25 

3  18 

3  12 

3  05 

40 

2  44 

2  41 

236 

2  32 

2  29 

2  25 

2  20 

2  16 

2  12 

2  08 

2  03 

50 

I  22 

I  20 

I  18 

I  17 

I  !4 

I  13 

I  10 

I  09 

I  06 

I  05 

I  02 

12 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


225 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  55°. 


DECLINATION— SAME  NAME  AS— I^ATITUDE. 


LATITUDE  55°. 


Hour  Angle. 


Ii. 

O 


lO 


12 


ni. 

oo 

lO 
20 

»o 

40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
60 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


24° 


So  OO 
75  34 
71  10 
66  48 
62  31 
58  19 

54  13 
50  14 
46  23 
42  39 
39  02 
35  36 

32  14 
29  02 
25  56 
22  56 
20  04 
17  17 

14  37 
12  00 
09  29 
07  03 
04  40 
02  21 

100  07 
97  53 
95  44 
93  36 
91  31 
89  28 

87  25 
85  25 
83  27 
81  29 
79  32 
77  36 

75  40 
73  45 
71  51 
69  56 
68  01 
66  06 


25° 


180  00 
175  28 
170  58 
166  32 
162  09 
157  52 

153  43 
149  39 
145  44 
141  58 
138  19 
134  50 

131  28 
128  14 
125  08 

123  08 

119  15 
116  28 

113  47 

III  12 
108  40 
106  15 
103  52 

101  33 

99  19 
97  06 
94  57 
92  51 
90  46 

8843 

8643 
84  43 
82  45 
80  48 
7851 
76  57 

75  01 
73  06 
71  13 
69  18 
67  25 
65  30 


64  II 

6336 

62  15 

61  41 

60  19 

59  45 

58  23 

57  50 

56  26 

55  54 

54  28 

53  57 

52  28 

51  58 

50  30 

50  00 

48  29 

48  01 

46  28 

46  00 

44  24 

43  58 

42  21 

41  55 

40  17 

39  52 

38  10 

37  47 

36  03 

35  41 

33  55 

33  34 

31  46 

31  26 

29  35 

29  16 

27  24 

27  06 

25  II 

24  55 

22  57 

22  42 

20  42 

20  29 

18  27 

18  15 

16  II 

16  00 

13  54 

13  44 

II  35 

II  28 

9  17 

9  II 

6  58 

653 

4  39 

4  36 

26° 


80  00 

75  22 
70  46 
66  14 
61  45 
57  24 

53  10 
-19  03 
45  05 
41  16 

37  35 

34  04 

30  42 
27  25 
24  18 

21  18 
18  25 
15  39 

12  57 

10  21 
07  52 
05  26 
03  04 
00  46 

98  32 
96  20 
94  12 
92  05 
90  01 
88  00 

86  00 
84  01 
82  04 
80  07 
78  II 

76  17 

74  23 
72  29 
70  36 
68  42 
66  49 
64  55 

63  01 
61  08 
59  13 
57  18 
55  22 
53  26 

51  29 
49  32 
47  33 
45  33 
43  32 
41  31 

39  28 
37  24 

35  19 
33  14 

31  07 
2858 

26  50 

24  39 

22  29 
20  16 
18  03 
15  49 

13  35 

11  20 
9  05 
6  49 

4  33 
2  17 
o  00 


27° 


80  00 

75  16 

70  34 

65  55 

61  21 

56  54 

52  35 

48  25 

44  23 
4a  31 

36  48 

33  15 

29  51 
26  34 

23  27 
20  25 
17  33 

14  46 

12  05 
09  30 
07  00 
04  35 
02  14 
99  57 

97  44 
95  33 
93  25 
91  19 
89  16 
87  15 

85  15 
83  17 

81  20 
79  25 
77  30 
75  36 

73  42 

71  49 
69  57 
68  04 

66  II 
64  19 

62  26 
60  33 
5839 
56  45 

,54  51 
52  56 

50  59 

49  02 
47  04 

45  06 
43  06 
41  06 

39  04 

37  00 

34  57 
32  53 

30  46 
28  39 

26  32 

24  23 
22  13 
20  03 
17  51 

15  39 

13  26 

n  13 
8  58 
6  44 
4  30 
2  15 
o  00 


28= 


180  00 

175  09 
170  20 
165  34 
160  54 
156  22 

151  58 
147  44 
143  39 
139  44 
13558 
132  24 

128  58 
125  41 
122  32 
119  32 
116  39 
113  52 

III  12 
108  37 
106  08 
103  42 
loi  22 
99  06 

96  53 
94  43 
92  36 
90  31 
88  29 
86  29 

84  29 
82  33 
8037 
78.42 
76  48 
74  55 

73  02 
71  10 
69  18 
67  26 
65  34 
63  43 

61  50 
5958 
5805 
56  12 
54  16 
52  24 

50  28 
48  32 
46  35 
44  37 
42  39 
40  40 

3839 
36  37 
34  34 
32  31 
30  27 
28  20 

26  14 
24  07 
21  58 
19  49 
17  39 
15  29 

13  17 
II  05 
853 
6  40 
4  27 
2  13 
o  00 


28° 


80  CO 
75  01 
70  04 

65  12 

60  26 
55  49 

51  20 
4658 
42  53 
3854 
3508 

31  31 

28  03 

24  46 
21  37 

18  36 
15  43 

12  57 

lo  17 
07  42 
05  14 
02  49 
00  30 
^  14 

96  02 

93  54 
91  47 
89  43 
87  42 
8542 

8345 

81  48 

79  53 
78  00 
.76  06 
74  14 

72  21 
70  29 
6839 

66  48 
64  57 
63  06 

61  15 
59  23 
57  31 
55  39 
53  46 
51  53 

49  58 
48  03 
46  07 
44  10 
42  13 
40  14 

38  15 
36  14 
34  12 

32  10 
30  07 
28  03 

25  57 
23  51 
21  44 

19  36 
17  27 
15  18 

13  08 
10  58 

847 
6  35 
4  24 


30° 


180  00 

174  53 
169  48 
164  49 
159  56 
155  12 

150  39 
146  15 
142  04 
138  03 
134  13 
130  34 

127  07 
123  48 
120  39 
117  38 
114  45 
III  59 

109  20 
106  46 
104  18 
loi  55 
99  36 
97  22 

95  10 
93  02 

90  57 
88  54 
86  54 
8455 

82  58 
81  02 
79  08 
77  15 
75  23 
73  32 

71  41 
69  50 
68  00 
66  10 
64  19 
62  29 

60  39 
5848 
56  57 
55  06 

53  14 
51  21 

49  27 
47  34 
45  39 
43  43 
41  47 
39  49 

37  50 
35  51 
33  51 
31  50 
29  47 
27  43 

25  40 
23  35 
21  29 
19  23 
17  16 
15  07 

12  59 
10  50 
8  40 
631 
4  21 


31= 


80  00 

74  45 
69  31 
64  24 
59  25 
54  34 

49  54 
45  27 
41  12 
37  07 
33  16 
29  36 

26  07 
22  48 
19  39 
1638 
13  46 


08  22 

05  49 
03  21 
00  59 
9841 
96  28 

94  17 
92  10 
90  06 
88  04 
86  05 
84  07 

82  II 
80  16 
78  23 
76  31 
74  39 
72  50 

70  59 
69  09 
67  20 
65  31 
63  41 
61  52 

60  02 
58  12 
56  23 
54  32 
52  41 
50  49 

4857 
47  04 
45  10 
43  15 
41  19 
39  23 

37  26 
35  28 
33  29 
3'  29 
29  27 
27  25 

25  22 

23  19 
21  14 
19  09 
17  03 
14  57 

12  50 
10  43 
83s 
6  26 
4  18 
2  09 
o  00 


32° 


80  00 

74  35 

69  13 

63  57 

58  49 
53  52 

49  07 
44  35 
40  15 

36  09 

32  16 
28  34 

25  03 
21  45 
18  36 

15  35 
12  42 
0958 

07  21 
04  49 
02  23 
00  02 
97  45 
95  33 

93  24 

91  17 
89  14 
87  13 
85  15 
83  18 

81  22 
79  29 

77  37 
■75  46 
73  56 
72  06 

70  17 
68  28 
66  40 

64  51 
63  03 
61  15 

59  27 
57  38 
55  48 
53  59 
52  08 

50  18 

48  26 
46  35 
44  42 
42  47 
40  53 
3858 

37  02 
35  04 

33  06 
31  08 

•29  07 
27  07 

25  06 
23  03 
21  00 

1857 

16  52 

14  47 

12  41 

10  35 
8  29 
6  22 
4  15 
2  08 
o  00 


33°   34° 


80  00 

74  25 
6853 

63  28 
58  12 
5308 

48  17 

43  39 

39  16 
35  07 

31  II 

27  29 

23  58 
20  39 

17  29 
14  2^ 

11  38 
0855 

06  18 

03  47 
01  22 

99  01 
96  46 

94  35 

92  27 
90  21 
88  20 
£6  20 

84  23 
82  27 

8034 
7841 
76  50 

75  00 
73  10 
71  22 

69  34 
67  46 

65  59 

64  12 
62  24 
60  37 

58  49 
57  01 
55  12 
53  24 
51  34 

49  46 

47  54 
46  04 

44  12 
42  19 

40  26 
38  32 

3636 
34  40 

32  44 
30  46 

28  48 
26  48 

24  48 
22  47 
20  46 

18  43 
16  40 
14  36 

12  32 
10  28 

823 
617 
4  12 
2  06 
o  00 


80  00 

74  14 
68  31 

62  57 

57  32 
52  20 

47  22 

42  40 

38  13 
34  02 
30  04 
26  20 

22  49 

19  30 
16  21 

13  22 
10  31 
07  48 

05  13 
02  43 
00  20 
98  01 
95  47 
93  36 

91  30 
89  26 
87  25 
85  28 
83  32 

81  37 

79  44 

77  53 
76  03 
74  14 
72  26 

70  39 

68  51 
67  04 
65  18 

63  32 
61  45 
5958 

58  13 
56  25 
5438 
52  50 
51  02 
49  13 

47  23 
45  34 

43  43 
41  52 

39  59 
38  06 

36  12 
34  17 
32  22 
30  25 
28  28 
26  30 

24  31 
22  32 

20  32 
18  31 
16  29 

14  26 

12  24 
10  20 

8  17 

6  17, 

4  09 
2  04 
o  00 


35°      Hour  Angle. 


0  / 

h. 

m. 

180  00 

0 

00 

174  01 

10 

168  07 

20 

162  22 

30 

156  47 

40 

151  28 

50 

146  24 

1 

00 

141  37 

10 

137  07 

20 

132  52 

30 

128  53 

40 

125  08 

50 

121  37 

2 

00 

118  18 

10 

115  10 

20 

112  II 

30 

109  21 

40 

106  40 

50 

104  06 

3 

00 

loi  38 

10 

99  15 

20 

9658 

30 

94  45 

40 

92  37 

50 

90  32 

4 

00 

88  29 

10 

86  30 

20 

84  33 

30 

82  39 

40 

80  45 

50 

7854 

5 

00 

77  04 

10 

75  15 

20 

73  27 

30 

71  39 

40 

69  53 

60 

68  07 

6 

00 

66  22 

10 

64  36 

20 

62  51 

30 

61  06 

40 

59  20 

50 

57  34 

7 

00 

55  48 

10 

54  02 

20 

52  16 

30 

50  29 

40 

48  41 

50 

46  52 

8 

00 

45  03 

10 

43  14 

20 

41  23 

30 

39  32 

40 

37  40 

60 

35  47 

9 

00 

33  53 

10 

31  59 

20 

30  04 

30 

28  08 

40 

26  12 

50 

24  14 

10 

00 

22  15 

10 

20  17 

20 

18  17 

30 

16  17 

40 

14  16 

50 

12  14 

11 

00 

10  12 

10 

8  II 

20 

6  08 

30 

4  06 

40 

2  02 

50 

0  00 

12 

00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


41224°— 16- 


-15 


226 


AZIMUTH  OR  TRUE  BEARING. 


I.ATITUBE  65°. 

DECUNATION— 

SAME  NAME  AS— LATITUDE. 

1 
LiATITUDE  56°.  j 

Hour 

Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

Ii. 

ni. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

b.    ni. 

0 

OO 

i8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0     00 

lO 

173  48 

173  33 

173  17 

172  59 

172  37 

172  14 

171  46 

171  15 

170  38 

169  53 

169  00 

167  54 

10 

20 

167  41 

167  13 

166  40 

166  04 

165  24 

164  39 

163  47 

162  47 

161  37 

160  14 

158  34 

156  33 

20 

30 

161  44 

161  02 

160  17 

159  26 

158  29 

157  24 

156  II 

154  47 

153  II 

151  19 

149  07 

146  28 

30 

40 

156  00 

155  07 

154  10 

153  06 

151  55 

150  36 

149  07 

147  26 

145  31 

143  19 

140  47 

137  49 

40 

50 

150  31 

149  30 

148  23 

147  10 

145  48 

144  18 

142  37 

140  45 

138  39 

136  15 

133  33 

130  28 

60 

1 

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145  21 

144  12 

142  58 

141  38 

140  09 

138  31 

136  43 

134  44 

132  32 

130  04 

127  19 

124  15 

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140  29 

139  15 

137  56 

136  29 

134  55 

133  14 

131  22 

129  19 

127  06 

124  38 

121  54 

118  55 

10 

20 

135  54 

134  37 

133  15 

131  45 

130  09 

128  25 

126  32 

124  28 

122  16 

119  51 

117  12 

114  20 

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131  37 

130  17 

128  53 

127  23 

125  45 

124  01 

122  07 

120  07 

117  57 

115  35 

113  03 

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30 

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126  17 

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109  21 

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71  50 

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32  18 

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31  14 

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29  19 

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28  34 

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20 

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29  43 

29  21 

29  00 

2839 

28  17 

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27  34 

27  12 

26  50 

26  27 

26  02 

25  42 

30 

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26  28 

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25  47 

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20  55 

20  39 

20  23 

20  06 

19  50 

19  33 

19  17 

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20  02 

19  47 

19  33 

19  18 

19  03 

18  49 

1833 

18  18 

18  03 

17  48 

17  33 

17  17 

20 

30 

18  04 

17  51 

17  38 

17  24 

17  II 

1658 

16  44 

16  30 

16  17 

16  03 

15  49 

15  35 

30 

40 

16  05 

15  52 

15  41 

15  30 

15  17 

15  05 

14  54 

14  42 

14  29 

14  17 

14  05" 

13  52 

40 

50 

14  06 

13  55 

13  45 

13  34 

13  24 

13  13 

13  02 

12  52 

12  42 

12  31 

12  20 

12  10 

50 

11 

OO 

12  06 

II  57 

II  48 

II  39 

II  29 

II  20 

11  II 

II  02 

10  54 

10  44 

10  35 

10  25 

11     00 

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10  06 

9  58 

9  51 

9  43 

9  36 

9  28 

9  20 

9  13 

9  05 

857 

8  50 

8  42 

10 

20 

8  05 

7  59 

7  53 

7  46 

7  41 

7  35 

728 

7  23 

7  16 

7  10 

7  04 

657 

20 

30 

6  04 

5  59 

5  54 

5  50 

5  46 

5  41 

536 

5  32 

5  27 

5  23 

5  18 

5  14 

30 

40 

4  02 

3  59 

3  56 

3  53 

3  50 

3  47 

3  45 

3  42 

338 

.3  35 

3  32 

3  29 

40 

50 

2  02 

2  00 

I  58 

I  57 

I  55- 

I  54 

I  53 

I  51 

I  49 

I  48 

I  46 

I  44 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


227 


AZIMUTH  OR  TRUE  BEARING. 


latitude:  5 

5°. 

DECI^INATION- 

-SAME  NAME  AS— LATITUDE. 

latitude:  55°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

65° 

56° 

57° 

58° 

59° 

Hour  Angle. 

li. 

m. 

o  / 

0  / 

0  / 

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0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

li.    m. 

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180  00 

180  00 

180  00 

180  00 

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180  00 

0  00 

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0  00 

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i66  28 

164  37 

162  04 

158  23 

152  37 

142  40 

123  32 

"ss'sg" 

53  43 

33  56 

23  40 

17  45 

10 

20 

154  02 

150  51 

146  40 

141  01 

133  12 

122  12 

106  57 

87  57 

68  30 

52  23 

40  33 

32  10 

20 

30 

143  19 

139  31 

134  34 

128  30 

120  49 

III  21 

99  52 

86  56 

73  40 

61  25 

50  59 

42  50 

30 

40 

134  21 

130  14 

125  21 

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112  41  - 

104  42 

95  41 

85  54 

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57  22 

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122  53 

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115  37 

112  00 

108  00 

103  38 

98  54 

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88  26 

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77  03 

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65  34 

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107  50 

104  09 

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95  57 

91  27 

86  42 

81  47 

76  51 

71  39 

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20 

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107  23 

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100  50 

97  13 

93  23 

89  20 

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83  39 

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75  41 

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67  27 

63  21 

40 

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100  59 

98  14 

95  19 

92  16 

89  04 

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82  15 

78  40 

75  00 

71  16 

67  30 

63  43 

50 

2 

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98  14 

95  40 

92  57 

90  08 

87  10 

84  05 

80  55 

77  37 

74  16 

70  49 

67  22 

63  52 

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95  44 

93  19 

90  47 

88  08 

85  24 

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79  36 

76  34 

73  28 

70  18 

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10 

20 

93  24 

91  07 

88  45 

86  17 

83  44 

81  04 

78  20 

75  31 

72  36 

69  42 

6643 

63  42 

20 

30 

91  13 

89  04 

86  50 

84  31 

82  07 

79  38 

77  05 

74  28 

71  46 

69  02 

66  14 

63  25 

30 

40 

89  09 

87  08 

85  01 

82  50 

80  35 

78  15 

75  52 

73  24 

70  53 

68  18 

63  42 

63  02 

40 

50 

87  12 

85  17 

83  17 

81  13 

79  05 

76  54 

74  39 

72  20 

6958 

67  33 

65  05 

62  35 

50 

3 

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85  20 

83  30 

8i  37 

79  39 

77  39 

75  34 

73  27 

71  15 

69  01 

66  44 

64  25 

62  03 

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83  32 

81  47 

79  59 

78  08 

76  14 

74  16 

72  14 

70  10 

68  04 

65  54 

63  42 

61  27 

10 

SO 

81  48 

80  08 

78  25 

76  39 

74  50 

7258 

71  04 

69  06 

67  05 

65  01 

62  57 

60  49 

20 

30 

80  07 

78  31 

76  53 

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73  28 

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69  52 

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62  08 

60  07 

30 

40 

78  28 

7656 

75  22 

73  46 

72  07 

70  25 

68  41 

66  54 

65  05 

63  13 

61  20 

59  23 

40 

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72  22 

70  47 

69  09 

67  30 

6548 

64  04 

62  17 

60  29 

5837 

50 

4 

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75  18 

73  54 

72  27 

70  58 

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66  19 

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63  01 

61  19 

59  35 

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71  00 

69  35 

68  08 

6639 

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61  59 

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72  13 

70  55 

69  35 

68  13 

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65  24 

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62  27 

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64  09 

62  44 

61  18 

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58  21 

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55  14 

30 

40 

69  12 

68  00 

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65  30 

64  13 

62  54 

61  33 

60  10 

58  45 

57  18 

55  50 

54  20 

40 

50 

67  44 

6634 

65  23 

64  09 

62  55 

61  38 

60  20 

59  01 

57  40 

56  16 

54  51 

53  24 

50 

5 

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66  15 

65  07 

63  59 

62  48 

61  36 

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56  32 

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53  51 

52  27 

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63  42 

62  35 

61  28 

60  18 

59  07 

57  54 

56  41 

55  25 

5408 

52  49 

51  28 

10 

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63  20 

62  17 

61  la 

60  06 

59  00 

57  51 

56  42 

55  30 

54  17 

53  03 

51  47 

50  29 

20 

30 

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60  51 

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57  41 

56  34 

55  27 

54  18 

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51  56 

50  43 

49  28 

30 

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60  25 

59  26 

5825 

57  24 

56  22 

55  17 

54  12 

53  06 

51  58 

50  49 

49  38 

48  26 

40 

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58  01 

57  03 

56  03 

55  03 

54  01 

52  58 

51  54 

50  49 

49  42 

48  34 

47  23 

50 

6 

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57  30 

56  35 

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54  41 

53  43 

52  43 

51  43 

50  40 

49  37 

48  33 

47  27 

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56  03 

55  10 

54  16 

53  20 

52  23 

51  25 

50  26 

49  26 

48  25 

47  23 

46  20 

45  14 

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20 

54  35 

53  43 

52  51 

51  58 

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50  07 

49  10 

48  12 

47  13 

46  13 

45  13 

44  09 

20 

30 

53  07 

52  17 

51  26 

50  35 

49  42 

48  47 

47  53 

46  57 

46  01 

45  02 

44  03 

43  03 

30 

40 

51  40 

50  51 

50  01 

49  II 

48  20 

47  28 

46  35 

45  41 

44  47 

43  50 

42  53 

41  55 

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50 

50  10 

49  23 

48  36 

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46  08 

45  17 

44  25 

43  31 

42  38 

41  43 

40  46 

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7 

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48  41 

47  56 

47  10 

46  23 

45  36 

44  47 

43  58 

43  08 

42  16 

41  25 

40  32 

39  37 

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47  12 

46  28 

45  43 

44  58 

44  13 

43  26 

42  38 

41  50 

41  00 

40  10 

39  20 

38  27 

10 

20 

45  42 

44  59- 

44  16 

43  33 

4'  49 

42  03 

41  18 

40  31 

39  44 

3855 

38  07 

37  16 

20 

30 

44  II 

43  31 

42  49 

42  07 

41  25 

40  41 

39  57 

39  12 

38  27 

37  40 

36  53 

36  05 

30 

40 

42  41 

42  01 

41  21 

40  41 

39  59 

39  18 

3836 

37  52 

37  08 

36  24 

3538 

34  52 

40 

50 

41  09 

40  31 

39  53 

39  14 

38  35 

37  54 

37  13 

36  32 

35  50 

35  07 

34  23 

33  39 

60 

8 

OO 

39  36 

39  00 

38  23 

37  46 

37  08 

36  29 

35  50 

35  10 

34  30 

33  49 

33  07 

32  24 

8    00 

lO 

38  04 

37  29 

36  53 

36  17 

35  41 

35  04 

34  27 

33  49 

33  10 

32  30 

31  51 

31  09 

10 

20 

36  30 

35  57 

35  23 

34  49 

34  H 

33  39 

33  03 

32  26 

31  49 

31  II 

30  33 

29  54 

20 

30 

34  56 

34  24 

33  51 

33  19 

32  46 

32  12 

31  37 

31  03 

30  28 

29  51 

29  16 

28  37 

30 

40 

33  21 

32  51 

32  20 

31  49 

31  18 

30  45 

30  12 

29  39 

29  05 

28  31 

27  57 

27  21 

40 

50 

31  46 

31  18 

30  48 

30  18 

29  48 

29  17 

28  47 

28  15 

27  43 

27  10 

26  37 

26  03 

50 

9 

OO 

30  11 

29  43 

29  15 

28  47 

28  18 

27  48 

27  19 

26  49 

26  19 

2548 

25  17 

24  45 

9    00 

lO  . 

28  34 

28  08 

27  41 

27  15 

26  48 

26  20 

25  52 

25  2+ 

24  55 

24  25 

23  56 

23  26 

10 

20 

26  57 

26  32 

26  07 

25  42 

25  i6 

24  50 

24  24 

23  57 

23  31 

23  03 

22  36 

22  07 

20 

30 

25  19 

24  56 

24  33 

24  09 

23  44 

23  20 

22  56 

22  30 

22  05- 

21  40 

21  14 

20  46 

30 

40 

23  40 

23  19 

22  57 

22  35 

22  13 

21  49 

21  26 

21  03 

20  39 

20  15 

19  51 

19  26 

40 

50 

22  02 

21  41 

21  21 

21  00 

20  40 

20  18 

19  57 

19  35 

19  13 

18  51 

18  28 

18  05 

50 

lO 

OO 

20  22 

20  04 

19  45 

19  25 

19  07 

18  46 

iS  27 

18  07 

17  47 

17  25 

17  05 

16  43 

10    00 

lO 

18  42 

18  26 

18  07 

17  50 

17  33 

17  14 

16  57 

16  38 

16  19 

16  00 

15  41 

15  21 

10 

20 

17  02 

16  47 

16  31 

16  14 

15  59 

15  42 

15  25 

15  09 

14  52 

14  34 

14  17 

13  59 

20 

30 

15  21 

15  07 

14  53 

14  39 

14  24 

14  09 

13  54 

13  39 

13  23 

13  08 

12  52 

12  36 

30 

40 

13  40 

13  28 

13  14 

13  02 

12  49 

12  35 

12  22 

12  09 

II  56 

II  41 

II  27 

II  13 

40 

50 

II  58 

II  47 

II  36 

II  25 

II  13 

II  02 

10  50 

10  38 

10  27 

lo  15 

ID  02 

9  50 

50 

11 

OO 

10  16 

10  06 

9  57 

9  47 

938 

9  27 

9  18 

9  08 

857 

8  47 

837 

8  26 

11     00 

lO 

8  34 

8  26 

8  18 

8  10 

8  02 

7  53 

7  46 

7  37 

728 

7  19 

7  II 

7  02 

10 

20 

652 

6  46 

6  39 

632 

6  26 

6  19 

613 

6  06 

5  59 

5  51 

5  45 

538 

20 

30 

508 

5  04 

4  59 

4  54 

4  50 

4  45 

4  39 

4  34 

4  29 

4  24 

4  19 

4  14 

30 

40 

326 

3  23 

3  20 

3  17 

3  13 

3  09 

306 

3  03 

3  00 

256 

2  53 

2  49 

40 

50 

I  43 

I  41 

I  40 

I  38 

I  36 

I  35 

I  33 

I  32 

I  30 

I  28 

I  26 

I  24 

50 

13 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


228 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  & 

5°. 

DECIvINATION— SAME  NAME  AS— 

IvATITUDE. 

latitude:  65°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

IL. 

m. 

o  / 

0  1 

0  t 

0  / 

0  1 

0  t 

0  / 

0  / 

0  / 

0  / 

0  1 

Ii.    m. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

14  00 

11  24 

9  31 

8  05 

657 

6  03 

5  18 

4  41 

4  09 

3  41 

3  18 

10 

20 

26  10 

21  44 

18  21 

15  43 

13  36 

II  54 

10  27 

9  15 

8  13 

7  20 

633 

20 

30 

35  45 

30  23 

a6  05 

22  36 

19  45 

17  ro 

15  19 

13  37 

12  08 

10  50 

9  42 

30 

40 

42  56 

37  17 

32  34 

28  34 

25  12 

22  iS 

19  50 

17  41 

.  15  49 

14  II 

12  43 

40 

/  50  1 

48  10 

42  38 

3748 

33  24 

29  55 

26  43 

23  54 

21  26 

19  15 

17  18 

15  35 

50 

1 

OO 

52  00 

46  44 

41  59 

37  44 

33  56 

30  32 

27  30 

2449 

22  24 

20  12 

18  15 

1    00 

lO 

54  47 

49  52 

45  19 

41  07 

37  18 

33  50 

30  40 

27  49 

25  13 

22  52 

20  44 

10 

20 

56  49 

52  14 

47  54 

43  51 

40  06 

3^  3Z 

33  24 

30  28 

27  45 

25  16 

22  59 

20 

30 

58  16 

54  01 

49  55 

46  03 

42  24 

3858 

35  45 

32  47 

30  00 

27  26 

25  03 

30 

40 

59  17 

55  19 

51  29 

47  48 

44  16 

40  55 

37  45 

34  46 

31  58 

29  21 

2654 

40 

50 

59  59 

56  17 

52  39 

49  09 

45  47 

42  31 

39  25 

36  a8 

33  40 

31  01 

28  32 

50 

2 

OO 

60  24 

56  57 

53  33 

50  13 

47  00 

43  50 

40  49 

37  55 

35  09 

32  31 

29  59 

2     00 

lO 

60  37 

57  23 

54  10 

51  00 

47  56 

44  54 

41  58 

39  08 

36  24 

33  47 

31  16 

10 

20 

60  40 

57  37 

54  36 

51  35 

4839 

45  44 

42  53 

40  08 

37  27 

34  52 

32  22 

20 

30 

60  34 

57  42 

54  50 

51  59 

49  10 

46  22 

43  38 

40  58 

38  20 

3548 

33  20 

30 

40 

60  21 

57  38 

54  56 

52  13 

49  32 

46  51 

44  13 

41  37 

39  03 

36  34 

34  08 

40 

50 

60  02 

57  29 

54  54 

52  19 

49  45 

47  10 

44  37 

42  07 

3938 

37  It 

34  48 

50 

3 

OO 

59  39 

57  12 

54  46 

52  17 

49  50 

47  23 

4456 

42  29 

40  05 

37  42 

35  21 

3     00 

lO 

59  10 

56  52 

54  32 

52  10 

49  50 

47  28 

45  05 

42  45 

40  25 

38  06 

3548 

10 

20 

5838 

56  27 

54  13 

51  58 

49  43 

47  26 

45  09 

42  53 

40  37 

38  22 

36  08 

20 

30 

5803 

55  57 

53  49 

51  40 

49  31 

47  20 

45  08 

42  56 

40  45 

38  33 

36  23 

30 

40 

57  25 

55  24 

53  22 

51  19 

49  15 

47  08 

45  01 

42  54 

40  47 

38  39 

36  32 

40 

50 

56  44 

54  49 

52  52 

50  53 

48  54 

46  53 

44  50 

42  48 

40  44 

38  40 

3636 

50 

4 

OO 

55  01 

54  II 

52  18 

50  25 

48  30 

46  33 

44  35 

42  36 

40  37 

3836 

3636 

4     00 

lO 

55  16 

53  29 

51  42 

49  52 

48  03 

46  10 

44  16 

42  22 

40  26 

38  28 

36  31 

10 

20 

5428 

52  46 

51  03 

49  18 

■  47  32 

45  43 

43  54 

42  02 

40  11 

38  18 

36  23 

20 

30 

53  39 

52  01 

50  22 

48  40 

46  59 

45  14 

43  27 

41  41 

39  52 

3803 

36  12 

30 

40 

52  48 

51  14 

49  39 

48  01 

46  22 

44  41 

42  59 

41  16 

39  31 

37  44 

35  57 

40 

50 

51  56 

50  26 

4853 

47  19 

45  45 

44  07 

42  28 

40  48 

39  06 

37  24 

35  39 

50 

5 

OO 

51  02 

49  35 

48  06 

46  35 

45  03 

43  30 

41  55 

40  i8 

3839 

37  00 

35  19 

5     00 

lO 

50  06 

48  42 

47  17 

45  49 

44  21 

42  51 

41  18 

39  45 

38  10 

36  34 

34  55 

10 

20 

49  09 

47  49 

46  26 

45  02 

43  37 

42  09 

40  40 

39  10 

3738 

36  04 

34  30 

20 

30 

48  12 

46  53 

45  35 

44  13 

42  51 

41  27 

40  01 

38  43 

37  04 

35  34 

34  01 

30 

40 

47  13 

45  58 

44  40 

43  23 

42  03 

40  41 

39  18 

37  54 

36  27 

35  00 

33  30 

40 

50 

46  13 

45  01 

43  46 

42  31 

41  14 

39  55 

38  34 

37  13 

35  50 

34  25 

32  59 

50 

6 

OO 

45  II 

44  02 

42  50 

41  36 

40  23 

39  07 

37  49 

36  30 

35  09 

33  48 

32  24 

6     00 

lO 

44  09 

43  01 

41  52 

40  42 

39  30 

38  17 

37  02 

35  45 

34  28 

33  09 

31  48 

10 

20 

43  06 

42  ot 

40  54 

39  45 

3837 

3726 

36  14 

35  00 

33  45 

32  28 

31  II 

20 

30 

43  02 

40  58 

39  54 

38  49 

37  42 

36  34 

35  24 

34  13 

33  00 

31  46 

3031 

30 

40 

40  56 

39  55 

3853 

37  50 

3646 

35  40 

34  32 

33  24 

32  13 

31  02 

29  49 

40 

. 

50 

39  49 

3851 

37  52 

36  51 

35  49 

34  45 

33  40 

32  34 

31  26 

30  18 

29  07 

50 

7 

OO 

38  42 

37  46 

36  49 

35  50 

34  50 

33  49 

32  46 

31  42 

3038 

29  31 

28  23 

7     00 
10 

lO 

37  35 

36  40 

35  44 

34  48 

33  51 

32  52 

31  52 

30  50 

2947 

28  43 

27  37 

20 

36  25 

35  33 

34  39 

33  45 

32  50 

31  54 

30  55 

29  57 

28  56 

27  54 

26  51 

20 
30 
40 
50 

30 

35  16 

34  25 

33  34 

32  42 

31  49 

30  54 

2958 

29  02 

28  04 

27  05 

26  03 

40 

34  05 

33  17 

32  28 

31  37 

30  47 

29  54 

29  01 

28  06 

27  10 

26  13 

25  14 

50 

32  54 

32  07 

31  20 

30  32 

29  43 

28  53 

28  02 

27  10 

26  15 

25  21 

24  25 

8 

OO 

31  41 

30  57 

30  II 

29  25 

28  39 

27  50 

27  01 

26  II 

25  20 

24  28 

23  34 

8     00 

lO 

30  29 

2946 

29  03 

28  18 

27  34 

26  47 

26  00 

25  13 

24  23 

23  33 

22  42 

10 
20 
30 
40 
50 

20 

29  15 

28  34 

27  53 

27  10 

26  28 

25  44 

24  59 

24  13 

23  27 

22  39 

21  50 

30 

28  00 

27  22 

26  42 

26  02 

25  21 

24  39 

23  56 

23  13 

22  29 

21  43 

20  56 

40 

26  45 

26  08 

25  31 

24  52 

24  14 

23  34 

22  53 

22  12 

21  29 

20  46 

20  01 

50 

25  29 

24  55 

24  18 

23  42 

23  06 

22  28 

21  49 

21  10 

20  29 

19  48 

19  07 

9 

OO 

24  12 

23  39 

23  06 

22  31 

21  56 

21  20 

20  44 

20  07 

19  29 

18  50 

iS  10 

9    00 
10 

lO 

22  55 

22  24 

21  52 

21  20 

20  48 

20  13 

19  39 

19  03 

18  28 

17  51 

17  13 

20 

21  38 

.  21  08 

20  39 

20  08 

19  37 
18  27 

19  05 

1833 

18  00 

17  26 

16  51 

16  16 

20 

30 

20  19 

19  52 

19  24 

18  55 

17  57 

17  26 

1656 

16  24 

15  51 

15  18 

30 
40 
50 

40 

19  01 

18  35 

18  10 

17  42 

17  15 

16  47 

16  19 

15  50 

15  20 

14  50 

14  19 

50 

17  42 

17  18 

16  53 

16  28 

16  03 

15  37 

15  II 

14  44 

14  17 

13  49 

13  20 

10 

OO 

16  22 

16  00 

15  37 

15  14 

14  52 

14  28 

14  03 

13  39 

13  13 

12  47 

12  21 

10    00 
10 
20 
30 
40 
50 

lO 

15  02 

14  41 

14  21 

14  00 

13  39 

13  16 

12  54 

12  32 

12  09 

II  45 

II  21 

20 

13  41 

13  23 

13  04 

12  45 

12  25 

12  05 

II  46 

II  25 

II  03 

10  42 

10  20 

30 

12  20 

12  03 

II  47 

II  29 

II  12 

10  54 

10  36 

10  18 

9  59 

§39 

%  'i 

40 

10  59 

10  44 

10  29 

10  14 

958 

9  42 

9  26 

9  09 
8  02 

8  52 

836 

8  18 

50 

9  37 

9  24 

9  II 

857 

8  44 

8  30 

8  16 

7  47 

7  32 

7  17 

11 

OO 

8  15 

8  04 

7  53 

7  42 

7  30 

7  18 

706 

653 

'   641 

6  28 

6  14 

11  00 
10 
20 
30 
40 
50 

12  00 

10 

653 

6  44 

6  34 

625 

615 

6  05 

5  55 

5  45 

5  35 

5  23 

5  13 

20 

5  31 

5  23 

5  16 

508 

5  00 

4  53 

4  44 

4  36 

;   4  28 

4  19 

4  10 

30 

4  08 

4  03 

3  57 

3  5t 

3  45 

3  40 

3  33 

3  27 

1    3  21 

3  15 

307 

40 

2  46 

2  42 

238 

2  34 

2  30 

2  27 

2  23 

2  18 

1   2  14 

2  ID 

2  06 

50 

I  23 

I  21 

I  19 

I  17 

I  15 

I  13 

1  II 

I  09 

1   I  07 

I  05 

I  03 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

1 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour-angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


229 


AZIMUTH  OR  TRUE  BEARING. 


LiATITUDE:  56°. 

DECI^INATION- 

-SAM:e  NAME  AS— IvATITUDE. 

LATITITDC:  S6°. 

Hour  Angle. 

24° 

2S° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33°  ' 

34° 

35° 

Hour  Angle. 

b. 

m. 

o  / 

0  / 

0  / 

0  / 

0  r 

0  / 

0  / 

0  r 

.  0  ' 

0  / 

0  / 

0  r 

b.     m. 

O 

OO 

i8o  oo 

180  00 

180  00 

180  00 

180  00 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

175  42 

175  36 

175  31 

175  25 

175  18 

175  II 

175  04 

174  56 

I74~48' 

174  38 

174  39 

174  i8 

10 

ao 

171  25 

171  14 

171  03 

170  51 

170  38 

170  25 

170  10 

169  54 

169  38 

169  20 

169  01 

168  39 

20 

30 

167  10 

166  54 

166  38 

166  20 

166  02 

165  42 

165  20 

164  58 

164  33 

164  07 

163  39 

163  08 

30 

40 

162  59 

162  39 

162  17 

161  54 

161  30 

161  04 

160  37 

160  07 

159  36 

159  02 

158  26 

157  46 

40 

so 

158  54 

158  29 

158  02 

157  35 

157  05 

156  34 

156  01 

155  25 

154  48 

154  07 

153  24 

152  36 

50 

1 

oo 

154  52 

154  24 

153  53 

153  21 

152  48 

152  12 

151  34 

150  53 

150  II 

149  24 

148  35 

147  42 

1     00 

lO 

150  57 

150  26 

149  52 

149  16 

148  39 

147  59 

147  16 

146  31 

145  44 

144  53 

14358 

143  00 

10 

20 

147  10 

146  35 

145  57 

145  18 

144  38 

143  54 

143  09 

142  20 

J41  29 

140  35 

139  36 

138  34 

20 

30 

143  29 

142  51 

142  II 

141  30 

140  45 

140  00 

139  II 

138  19 

137  25 

136  28 

135  27 

134  23 

30 

40 

139  55 

139  15 

13833 

137  49 

137  03 

136  15 

135  24 

134  30 

133  33 

132  34 

131  30 

130  24 

40 

50 

136  29 

135  47 

135  04 

134  17 

133  29 

132  39 

131  47 

130  52 

129  53 

12853 

127  48 

126  40 

SO 

2 

OO 

133  09 

132  27 

131  41 

130  53 

130  04 

129  13 

128  18 

127  22 

126  23 

125  22 

124  16 

123  08 

2     00 

lO 

129  57 

126  06 

128  26 

127  38 

126  48 

125  55 

125  01 

124  03 

123  03 

122  01 

120  56 

119  48 

10 

20 

126  52 

125  19 

124  29 

123  39 

122  47 

121  51 

120  53 

119  54 

118  51 

117  46 

116  37 

20 

30 

123  53 

123  07 

122  18 

121  28 

120  37 

119  45 

118  49 

117  51 

116  52 

"5  49 

114  44 

113  37 

30 

40 

12059 

120  13 

119  25 

11835 

117  43 

116  49 

115  56 

114  56 

"3  57 

112  56 

III  51 

1 10  45 

40 

50 

118  11 

117  26 

116  36 

115  47 

114  55 

114  02 

113  07 

112  10 

III  II 

no  10 

109  06 

108  01 

SO 

3 

OO 

115  30 

"4  43 

"3  54 

113  04 

112  14 

III  21 

no  26 

109  29 

108  30 

107  31 

106  28 

105  24 

3     00 

lO 

112  52 

112  06 

III  18 

no  27 

109  37 

108  44 

107  50 

106  54 

105  57 

104  58 

103  56 

102  52 

10 

20 

no  20 

109  33 

108  46 

107  56 

107  05 

106  14 

105  20 

104  25 

103  ^8 

102  30 

loi  29 

100  27 

20 

30 

107  52 

107  06 

106  18 

105  29 

104  39 

103  47 

102  54 

102  00 

loi  04 

100  07 

99  07 

98  07 

30 

40 

105  27 

104  42 

103  54 

103  05 

102  16 

101  26 

100  34 

99  40 

98  45 

97  49 

96  50 

95  51 

40 

SO 

103  06 

102  22 

loi  34 

100  46 

9958 

9908 

98  16 

97  23 

96  30 

95  34 

94  37 

93  39 

SO 

4 

OO 

100  49 

100  05 

99  18 

9830 

97  43 

96  54 

96  03 

95  " 

94  18 

93  25 

92  28 

91  32 

4     00 

lO 

9835 

97  50 

97  04 

96  17 

95  30 

94  41 

93  52 

93  01 

92  09 

91  16 

90  21 

89  26 

10 

20 

96  22 

95  39 

94  54 

94  07 

93  21 

92  33 

91  44 

90  55 

90  03 

89  12 

88  18 

8724 

20 

30 

94  13 

93  30 

92  45 

91  59 

91  15 

00  27 
88  23 

89  39 

88  51 

88  00 

87  09 

86  17 

8525 

30 

40 

92  06 

91  24 

90  40 

8955 

89  10 

8736 

86  49 

86  00 

85  10 

84  19 

83  27 

40 

SO 

90  01 

89  19 

8836 

87  52 

87  08 

86  22 

8536 

84  49 

84  01 

83  12 

82  22 

81  31 

SO 

5 

OO 

87  57 

87  16 

8633 

8549 

85  06 

84  22 

8337 

82  50 

82  03 

81  15 

80  26 

79  37 

s   00 

lO 

85  55 

85  15 

84  32 

83  50 

8307 

82  23 

81  38 

80  53 

80  07 

79  20 

78  33 

77  45 

10 

20 

83  54 

83  15 

82  33 

8i  51 

81  09 

80  26 

79  42 

7858 

78  12 

77  28 

76  41 

75  54 

20 

30 

81  54 

81  15 

80  34 

79  53 

79  12 

78  30 

77  47 

77  03 

76  19 

75  35 

74  49 

74  03 

30 

40 

79  56 

79  17 

7837 

77  56' 

77  15 

76  35 

75  52 

75  10 

74  26 

73  43 

7258 

72  13 

40 

SO 

7758 

77  21 

76  41 

76  01 

75  21 

74  40 

74  00 

73  18 

72  35 

71  53 

71  10 

70  26 

SO 

6 

OO 

76  01 

75  23 

74  43 

74  05 

73  26 

72  46 

72  06 

71  26 

70  44 

70  02 

69  20 

6837 

6     00 

lO 

74  03 

73  27 

7248 

72  II 

71  32 

70  53 

70  13 

69  34 

69  54 

68  13 

67  31 

66  49 

10 

20 

72  08 

71  31 

70  .54 

7©  17 

69  39 

69  01 

68  23 

67  43 

67  03 

66  24 

65  43 

6s  02 

20 

30 

70  II 

6936 

68  59 

68  22 

67  45 

67  08 

66  30 

65  52 

65  13 

64  35 

63  55 

63  16 

30 

40 

68  15 

67  40 

67  04 

66  27 

65  52 

65  15 

64  38 

64  01 

63  23 

62  45 

62  06 

61  28 

40 

SO 

66  18 

65  44 

65  09 

64  33 

63  59 

63  23 

62  46 

62  10 

61  34 

60  56 

60  18 

59  41 

50 

7 

OO 

64  22 

63  49 

63  14 

62  39 

62  05 

61  29 

60  55 

60  19 

59  43 

59  08 

58  30 

57  54 

7     00 

lO 

62  21 

61  52 

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60  44 

60  10 

59  36 

59  03 

58  27 

57  53 

57  17 

56  41 

56  07 

10 

20 

60  27 

59  56 

59  22 

5849 

58  16 

57  43 

57  09 

5636 

56  01 

55  28 

54  53 

54  18 

20 

30 

58  29 

57  58 

57  26 

56  53 

56  22 

55  50 

55  17 

54  44 

54  II 

5338 

53  04 

52  30 

30 

40 

56  32 

56  00 

55  29 

5458 

54  27 

53  55 

53  23 

52  52 

■52  20 

51  47 

51  14 

50  42 

40 

SO 

54  32 

54  02 

53  32 

53  02 

52  32 

52  01 

51  29 

50  59 

50  28 

49  57 

49  25 

4853 

SO 

8 

OO 

52  32 

52  03 

51  34 

51  04 

5?  35 

50  05 

49  35 

49  05 

48  34 

4804 

47  33 

47  03 

8     00 

lO 

50  32 

50  04 

49  35 

49  06 

4838 

48  09 

47  40 

47  12 

46  42 

46  12 

45  42 

45  13 

10 

20 

48  30 

48  03 

47  36 

47  07 

46  40 

46  12 

45  44 

45  17 

44  47 

44  20 

43  51 

43  22 

20 

30 

46  28 

46  02 

45  35 

4508 

44  41 

44  15 

43  48 

43  21 

42  54 

42  27 

41  59 

41  31 

30 

40 

44  25 

44  00 

43  33 

4308 

42  42 

42  16 

41  50 

41  24 

40  58 

40  32 

40  05 

39  39 

40 

SO 

42  21 

41  57 

41  29 

41  c6 

40  42 

40  17 

39  52 

39  27 

39  02 

38  37 

38  11 

37  47 

SO 

9 

OO 

40  15 

39  52 

3928 

39  04 

38  40 

38  16 

37  53 

37  29 

37  05 

36  40 

36  17 

35  53 

9     00 

lO 

3809 

37  46 

37  24 

37  00 

3638 

36  15 

35  52 

35  30 

35  07 

34  44 

34  21 

33  58 

10 

20 

36  01 

35  39 

35  18 

34  56 

34  35 

34  14 

33  51 

33  30 

33  08 

32  47 

32  25 

32  03 

20 

30 

33  53 

33  32 

33  II 

32  51 

32  31 

32  10 

31  50 

31  30 

31  09 

30  48 

30  28 

30  08 

30 

40 

31  42 

31  23 

31  04 

30  45 

30  26 

30  06 

29  47 

29  28 

29  08 

28  49 

28  30 

28  II 

40 

SO 

29  32 

29  14 

28  56 

28  38 

28  20 

28  01 

27  43 

27  26 

27  08 

26  50 

26  32 

26  14 

SO 

lO 

OO 

27  20 

27  04 

26  47 

36  30 

26  13 

25  56 

25  40 

25  23 

25  06 

24  49 

24  32 

24  16 

10    00 

lO 

25  08 

24  52 

24  37 

24  21 

24  05 

23  50 

23  34 

23  18 

23  04 

22  48 

22  33 

22  17 

10 

20 

22  54 

22  40 

22  26 

22  II 

21  57 

21  43 

21  28 

21  14 

21  00 

20  46 

20  31 

20  18 

20 

30 

20  40 

20  27 

20  13 

20  00 

19  47 

19  35 

19  22 

19  09 

18  56 

18  43 

18  30 

18  18 

30 

40 

18  24 

18  13 

18  01 

17  49 

17  38 

1726 

17  14 

17  03 

16  52 

16  40 

16  28 

16  17 

40 

SO 

16  08 

15  58 

15  47 

15  37 

15  27 

15  16 

15  07 

14  57 

14  47 

14  37 

14  27 

14  16 

SO 

11 

OO 

13  51 

13  42 

13  33 

13  24 

13  15 

13  07 

12  58 

12  50 

12  41 

12  32 

12  23 

12  15 

11     00 

lO 

11  33 

II  26 

II  19 

II  II 

II  04 

10  56 

10  50 

10  42 

10  35 

ID  27 

10  21 

10  13 

10 

20 

9  15 

9  10 

9  o'3 

858 

852 

8  46 

8  40 

8  34 

8  28 

8  22 

8  17 

8  II 

20 

30 

657 

•652 

6  48 

6  43 

6  39 

6  34 

6  30 

6  26 

6  21 

6  17 

613 

6  09 

30 

40 

4  38 

4  35 

4  32 

4  29 

4  26 

4  23 

4  20 

4  18 

4  15 

4  12 

4  09 

4  06 

40 

SO 

2  19 

2  17 

2  16 

2  15 

2  13 

2  12 

2  10 

2  09 

2  08 

2  06 

2  04 

2  03 

SO 

12 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sooth  latitude,  when  the  .star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


230 


AZIMUTH  OR  TRUE  BEARING. 


L.ATITUDE  56°. 

DECUNATION- 

-SAME  NAME  AS— LATITUDE. 

LATITIUE  56°. 

Hour  Angle. 

36° 

370 

■  38°S 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

b. 

ni. 

o  / 

0  / 

0  / 

0  / 

0  1 

0  t 

0  / 

0  ' 

0  r 

0  / 

0  / 

0  ? 

li.     ni. 

o 

OO 

i8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  CO 

180  00 

180  00 

180  00 

0     00 

lO 

174  o6 

173  53 

173  38 

173  22 

173  05 

172.44 

172  21 

171  55* 

171  23 

170  48 

170  04 

169  12 

10 

20 

i68  i6 

167  51 

167  22 

166  51 

166  16 

165  37 

164  52 

164  01 

163  02 

161  55 

160  33 

158  56 

SS 

30 

162  35 

161  57 

161  :6 

160  31 

159  42 

158  46 

157  43 

156  32 

155  10 

153  35 

151  44 

149  35 

30 

40 

157  04 

156  16 

155  25 

154  28 

153  26 

152  t6 

150  59 

149  31 

147  52 

145  59 

143  49 

141  08 

40 

60 

151  46 

150  51 

149  50 

148  44 

147  32 

146  II 

144  43 

143  05 

141  13 

139  08 

T36  47 

134  06 

50 

1 

OO 

146  44 

145  42 

144  35 

143  22 

142  01 

140  34 

13858 

137  12 

135  13 

133  03 

13'^  35 

127  51 

1     00 

lO 

141  58 

140  50 

139  38 

138  19 

136  55 

135  22 

133  41 

131  51 

129  48 

127  36 

125  08 

122  26 

10 

20 

137  28 

136  17 

135  01 

133  39 

132  II 

130  35 

128  52 

127  00 

124  57 

122  44 

120  19 

117  39 

20 

30 

133  13 

132  00 

130  41 

129  17 

127  48 

126  10 

124  27 

122  35 

120  33 

118  23 

116  02 

113  29 

30 

40 

129  14 

127  58 

126  39 

125  14 

123  43 

122  06 

120  24 

"833 

"6  33 

114  27 

112  10 

109  45 

40 

50 

125  29 

124  13 

122  53 

121  28 

119  58 

118  22 

116  40 

114  52 

112  56 

no  54 

108  42 

106  23 

50 

2 

OO 

121  56 

120  40 

119  21 

"7  57 

116  27 

114  52 

113  13 

III  28 

109  35 

107  37 

105  31 

103  18 

2     00 

lO 

118  36 

117  21 

116  01 

114  38 

113  II 

III  38 

no  01 

108  19 

106  30 

104  36 

102  36 

100  30 

10 

20 

115  27 

114  12 

112  54 

III  31 

no  06 

108  36 

107  02 

105  22 

103  38 

loi  49 

99  54 

97  53 

20 

30 

112  26 

III  13 

109  56 

108  36 

107  13 

105  45 

104  13 

102  37 

100  57 

99  II 

97  22 

95  27 

30 

40 

109  36 

108  23 

107  08 

105  49 

104  28 

103  03 

loi  34 

100  02 

98  24 

96  44 

94  59 

93  09 

40 

60 

J06  53 

105/1 

104  28 

103  12 

loi  53 

100  30 

99  04 

97  35 

96  00 

94  24 

92  43 

91  00 

50 

3 

OO 

104  17 

103  07 

loi  55 

100  42 

99  24 

98  04 

96  40 

95  15 

93  44 

92  12 

90  35 

8854 

3     00 

10 

101  47 

100  39 

99  29 

97  08 

98  16 

97  02 

95  45 

94  23 

93  00 

91  33 

90  04 

88  31 

86  56 

10 

20 

99  23 

98  17 

9558 

94  45 

93  30 

92  12 

90  52 

S927 

88  01 

•8633 

8501 

20 

30 

97  04 

96  00 

94  52 

93  44 

92  33 

91  20 

90  05 

88  47 

8727 

86  04 

8438 

83  10 

30 

40 

94  50 

93  47 

92  42 

91  35 
§929 

90  27 

89  15 

88  02 

86  48 

85  30 

84  10 

82  48 

81  24 

40 

50 

92  40 

91  37 

90  34 

88  23 

87  14 

8603 

84  51 

83  35 

82  19 

81  00 

79  38 

50 

4 

OO 

90  33 

8933 

88  31 

87  28 

86  24 

85  16 

84  08 

8258 

81  45 

80  31 

79  15 

77  56 

4     00 

lO 

88  29 

8731 

8630 

85  29 

84  26 

83  21 

82  15 

81  07 

79  57 

78  45 

77  31 

76  16 

10 

20 

86  28 

8531 

84  33 

83  33 

82' 32 

81  29 

80  24 

79  19 

78  II 

.77  01 

75  50 

74  37 

20 

30 

84  30 

83  34 

82  38 

81  39 

80  40 

79  38 

7836 

77  32 

76  27 

75  20 

74  II 

73  01 

30 

40 

8234 

81  39 

80  44 

79  47 

78  50 

77  50 

76  50 

75  48 

74  44 

73  39 

72  32 

71  25 

40 

50 

80  40 

79  47 

7852 

7758 

77  01 

76  03 

75  05 

74  05 

73  03 

72  00 

70  56 

69  50 

50 

5 

OO 

7847 

77  55 

77  02 

76  09 

75  14 

74  18 

73  21 

72  23 

71  23 

70  22 

69  19 

68  17 

5     00 

lO 

7655 

'  76  05 

75  14 

74  21 

►  73  28 

72  33 

71  38 

70  42 

69  43 

6845 

67  44 

66  42 

^IX 

20 

75  05 

74  16 

73  26 

7236 

71  43 

70  51 

69  57 

69  02 

68  05 

67  09 

66  09 

65  II 

20 

30 

73  16 

72  28 

71  39 

70  50 

70  00 

69  09 

68  16 

67  23 

66  27 

65  32 

64  35 

63  39 

30 

40 

71  27 

70  41 

69  53 

69  06 

68  16 

67  26 

66  36 

65  43 

64  51 

63  57 

63  02 

62  06 

40 

50 

69  40 

6855 

68  09 

67  22 

6635 

65  46 

6456 

64  06 

63  14 

62  22 

61  29 

60  35 

50 

6 

OO 

L"53 

67  09 

66  24 

65  38 

64  52 

64  05 

63  16 

62  28 

61  37 

60  47 

59  55 

59  03 

6     00 

lO 

66  06 

65  24 

64  40 

63  55 

63  10 

62  24 

61  37 

60  50 

60  01 

59  12 

58  22 

57  32 

10 

20 

64  21 

63  39 

6256 

62  13 

61  29 

60  44 

59  59 

59  13 

58  26 

57  38 

56  49 

56  00 

20 

30 

62  35 

^i  54 

61  12 

60  30 

59  47 

59  03 

58  20 

57  36 

56  49 

56  04 

55  16 

54  29 

30 

40 

60  49 

60  09 

59  28 

58  47 

58  05 

57  23 

56  41 

55  57 

55  13 

54  28 

53  43 

52  57 

40 

50 

59  03 

58  24 

57  44 

57  05 

56  25 

55  43 

55  02 

54  20 

53  36 

52  54 

52  10 

51  25 

50 

7 

OO 

57  17 

56  39 

56  00 

55  22 

54  42 

54  03 

53  23 

52  42 

52  00 

51  19 

50  36 

49  52 

7     00 

lO 

55  29 

54  52 

54  16 

53  38 

53  00 

52  22 

51  42 

51  03 

50  23 

49  42 

49  01 

48  20 

10 

20 

53  43 

53  07 

52  31 

51  55 

51  18 

50  41 

50  03 

49  24 

4846 

48  c6 

47  26 

46  47 

20 

30 

51  56 

51  21 

50  47 

50  II 

49  36 

49  00 

48  24 

47  47 

47  09 

46  31 

45  52 

45  14 

30 

40 

50  09 

49  35 

49  02 

48  27 

47  53 

47  18 

46  43 

46  07 

45  30 

44  54 

44  17 

43  39 

40 

50 

48  21 

47  49 

47  15 

46  43 

46  10 

45  36 

45  02 

44  27 

43  52 

43  17 

42  41 

42  06 

50 

8 

OO 
lO 

46  32 

46  01 

45  29 

44  57 

44  25 

43  52 

43  19 

42  47 

42  13 

41  39 

41  04 

40  30 

z       00 

44  44 

44  13 

43  42 

43  12 

42  41 

42  09 

41  38 

41  06 

40  34 

40  02 

39  28 

38  54 

10 

20 
30 

42  54 

42  25 

41  56 

41  26 

40  56 

40  25 

39  55 

39  25 

38  53 

38  22 

37  50 

37  18 

20 

41  04 

40  36 

40  07 

39  38 

39  10 

3841 

38  12 

37  43 

37  13 

36  43 

36  12 

35  42 

30 

40 
50 

39  12 

38  46 

38  18 

37  52 

37  23 

3656 

36  28 

36  00 

35  31 

35  03 

34  34 

34  05 

40 

37  21 

36  54 

36  29 

36  03 

35  37 

35  10 

34  44 

34  17 

33  50 

33  23 

32  54 

32  27 

50 

9 

OO 
10 
20 
30 

35  28 

35  03 

34  39 

34  15 

33  49 

33  24 

32  59 

32  33 

32  07 

31  41 

31  15 

30  48 

9     00 

33  35 

33  12 

32  48 

32  25 

32  01 

31  37 

31  13 

30  49 

30  24 

29  59 

29  35 

29  10 

10 

31  41 

31  19 

30  57 

30  35 

30  13 

29  50 

29  27 

29  04 

28  40 

28  17 

27  54 

27  31 

20 
30 

29  47 

29  25 

29  05 

28  44 

28  22 

28  02 

27  41 

27  18 

26  57 

26  35 

26  12 

25  50 

40 
50 

27  51 

27  31 

27  12 

26  53 

26  32 

26  12 

25  52 

25  32 

25  II 

24  51 

24  30 

24  10 

40 

25  55 

25  37 

25  18 

25  00 

24  42 

24  23 

24  04 

23  46 

23  26 

23  07 

22  48 

22  28 

50 

lO 

OO 

23  59 

23  42 

23  25 

23  07 

22  50 

22  33 

22  16 

21  58 

21  41 

21  23 

21  05 

20  47 

10   00 

lO 

22  01 

21  45 

21  30 

21  14 

20  59 

20  43 

20  26 

20  II 

19  54 

1938 

19  21 

19  05 

10 

20 

20  03 

19  49 

19  35 

19  21 

19  06 

18  51 

18  37 

18  22 

18  07 

17  53 

17  38 

17  22 

20 

30 
40 
50 

18  05 

17  52 

17  39 

17  27 

17  13 

17  iX) 

16  47 

16  33 

16  20 

16  07 

15  53 

15  39 

30 
40 
50 

16  05 

15  54 

15  43 

15  32 

15  19 

15  07 

14  56 

14  45 

14  33 

14  20 

14  08 

13  56 

14  06 

13  56 

13  46 

13  36 

13  25 

13  15 

13  05 

12  54 

12  44 

12  34 

12  23 

12  13 

11 

OO 

12  06 

11  57 

II  49 

II  40 

II  31 

II  22 

II  13 

II  05 

10  56 

10  46 

10  38 

10  28 

11     00 

lO 

10  06 

9  58 

9  51 

9  44 

9  36 

9  29 

9  22 

9  15 

9  06 

859 

851 

8  44 

10 

1 

20 
30 
40 

8  05 

7  59 

7  53 

7  48 

742 

7  35 

7  30 

7  24 

718 

.  7  12 

7  06 

7  00 

20 

' 

6  04 

6  00 

5  55 

5  51 

5  47 

5  42 

538 

5  33 

5  29 

524 

5  19 

5  14 

30 

4  03 

4  00 

3  56 

3  54 

3  51 

348 

3  45 

3  42 

3  39 

336 

3  33 

3  30 

40 

50 

2  02 

2  00 

I  58 

I  57 

I  56 

I  54 

I  53 

I  51 

I  49 

I  48 

I  46 

I  45 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  >'orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


231 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  56°. 

DEICLINATION— 

SAME  NAME  AS— LATITUDE. 

LATITUDE  56°. 

Uonr  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

65° 

56° 

57° 

58° 

59° 

Hour  Angle. 

Ii. 

in. 

1 
o  / 

0  ' 

0  / 

0  r 

0  r 

0  1 

0  / 

0  f 

0  / 

0  / 

0  / 

0  1 

li.    ni. 

O 

OO 

i8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0  00 

0  00 

0     00 

lO 

i68  07  ; 

166  44 

164  55 

162  26 

158  48 

153  09 

143  20 

124  II 

88  58 

53  02 

33  12 

23  05 

10 

20 

156  57 

154  30 

151  20 

147  13 

141  39 

133  53 

122  49 

107  22 

8756 

68  01 

51  37 

39  45 

20 

30 

146  59 

143  51 

140  00 

135  12 

129  08 

121  28 

III  50 

100  08 

8653 

73  18 

60  48 

50  12 

30 

40 

138  23 

134  55 

130  49 

125  56 

120  07 

113  10 

105  03 

95  52 

85  51 

75  35 

%'^ 

56  40 

40 

50 

131  02 

127  31 

123  27 

118  46 

113  24 

107  16 

ipo  24 

92  51 

84  49 

76  34 

60  44 

50 

1 

OO 

124  47 

121  20 

117  26 

113  04 

X08  12 

102  47 

96  52 

90  29 

83  46 

76  53 

70  01 

63  21 

1     00 

lO 

119  26  1 

116  06 

112  27 

108  24 

104  00 

99  10 

94  00 

88  29 

82  44 

7649 

70  53 

65  02 

10 

20 

114  48  ! 

III  39 

108  13 

104  31 

100  30 

96  10 

91  35 

8644 

81  41 

76  31 

71  17 

66  05 

20 

30 

no  44 

107  46 

104  35 

loi  08 

97  28 

93  34 

89  27 

85  07 

8038 

76  02 

71  23 

66  42 

30 

40 

107  08 

104  20 

101  22 

98  II 

94  49 

91  15 

87  31 

83  37 

79  35 

75  27 

71  15 

67  01 

40 

50 

103  55 

loi  17 

98  30 

95  33 

92  26 

89  10 

85  45 

82  12 

78  32 

74  46 

70  56 

67  04 

50 

2 

OO 

100  58 

98  30 

95  53 

93  08 

90  15 

87  14 

84  06 

80  50 

77  28 

74  ox 

70  31 

66  58 

2    00 

lO 

9817 

•95  56 

9330 

90  55 

88  14 

85  26 

82  32 

79  32 

76  25 

73  14 

70  00 

66  42 

10 

20 

95  47 

93  35 

91  16 

88  52 

86  21 

83  44 

81  02 

78  14 

75  21 

72  24 

69  23 

66  19 

20 

30 

93  27 

91  22 

89  II 

8654 

84  33 

82  07 

79  34 

7658 

74  17 

71  32 

68  42 

65  51 

30 

40 

91  15 

89  16 

87  12 

85  05 

82  51 

80  33 

78  II 

75  43 

73  12 

7038 

67  59 

65  19 

40 

50 

89  10 

87  17 

85  20 

83  19 

8i  12 

79  03 

76  48. 

74  30 

72  08 

69  42 

67  13 

64  41 

50 

3 

OO 

87  II 

85  24 

83  31 

81  36 

79  37 

77  35 

75  27 

73  17 

71  03 

68  46 

6625 

64  01 

3    00 

lO 

85  16 

83  33 

81  48 

79  58 

78  04 

76  08 

74  07 

72  04 

69  57 

67  48 

65  34 

63  19 

10 

20 

83  26 

81  48 

80  07 

78  22 

76  34 

74  43 

72  49 

70  53 

68  52 

66  49 

64  42 

62  34 

20 

30 

81  39 

80  06 

78  29 

76  48 

75  06 

73  20 

71  32 

69  40 

67  46 

65  49 

63  48 

61  46 

30 

40 

79  56 

78  26 

76  53 

75  17 

73  39 

71  59 

70  15 
68^ 

68  29 

6639 

64  48 

62  52 

60  57 

40 

50 

78  14 

7648 

75  19 

73  48 

72  14 

70  38 

67  17 

65  32 

63  46 

61  57 

60  05 

50 

4 

OO 

76  35 

75  12 

73  47 

72  19 

7049 

69  17 

67  42 

6605 

64  25 

62  44 

60  59 

59  13 

4     00 

lO 

7458 

73  39 

72  16 

70  51 

69  25 

6757 

66  26 

64  53 

63  17 

61  40 

60  00 

58  18 

10 

20 

73  22 

72  06 

70  46 

69  26 

68  03 

6638 

65  10 

63  41 

62  09 

60  36 

59  00 

57  23 

20 

30 

71  48 

70  33 

69  18 

68  00 

66  40 

65  19 

63  54 

62  28 

61  01 

59  31 

57  59 

56  26 

30 

40 

70  15 

69  03 

67  50 

6635 

65  18 

64  00 

62  39 

61  16 

59  52 

58  25 

56  57 

55  27 

40 

50 

68  42 

67  33 

66  23 

65  II 

6356 

62  41 

61  23 

60  03 

58  42 

57  20 

55  55 

54  28 

50 

o 

OO 

67  II 

66  04 

6456 

63  46 

62  34 

61  22 

60  06 

5851 

57  32 

56  12 

54  50 

53  27 

5     00 

10 

65  39 

64  35 

63  29 

62  22 

61  13 

60  03 

5851 

57  37 

56  22 

55  04 
53  56 

53  46 

52  26 

10 

20 

64  09 

63  07 

62  03 

6058 

59  52 

58  43 

57  34 

56  23 

55  II 

52  41 

51  24 

20 

30 

62  39 

61  38 

60  37 

59  34 

58  29 

57  25 

56  17 

55  09 

53  59 

52  48 

51  33 

50  20 

30 

40 

61  09 

60  II 

59  II 

58  II 

57  08 

56  05 

55  00 

53  54 

52  46 

51  38 

50  27 

49  15 

40 

50 

59  39 

58  43 

57  45 

56  47 

55  46 

5446 

53  43 

52  39 

-51  34 

50  27 

49  19 

48  10 

50 

6 

00 

58  10 

57  15 

56  19 

55  22 

54  24 

53  26 

52  25 

51  23 

50  20 

49  16 

48  10 

47  04 

6     00 

lO 

56  39 

55  47 

54  52 

5358 

53  01 

52  05 

51  06 

50  07 

49  06 

48  05 

47  01 

45  57 

10 

20 

55  10 

54  19 

53  27 

52  34 

51  39 

50  45 

49  48 

4851 

47  52 

46  52 

45  51 

44  49 

20 

30 

53  40 

52  51 

52  00 

51  09 

50  16 

49  23 

48  29 

47  33 

46  37 

45  39 

44  39 

43  40 

30 

40 

52  10 

51  22 

50  33 

49  43 

48  52 

48  01 

47  CO 
4548 

46  15 

45  21 

44  25 

43  28 

42  30 

40 

50 

50  39 

.49  53 

49  06 

48  18 

47  29 

46  39 

44  57 

44  04 

.43  10 

42  16 

41  21 

50 

7 

OO 

49  08 

48  24 

4738 

46  51 

46  05 

45  17 

44  27 

43  38 

42  47 

41  55 

41  02 

40  10 

7     00 

lO 

47  37 

46  53 

46  10 

45  25 

44  39 

43  54 

43  06 

42  18 

41  29 

40  39 

3948 

2857 

10 

20 

46  05 

45  24 

44  41 

4358 

43  14 

42  29 

41  44 

4058 

40  II 

39  23 

3834 

37  45 

20 

30 

44  34 

43  53 

43  13 

42  30 

41  48 

41  06 

40  22 

39  37 

3852 

38  06 

37  18 

36  31 

30 

40 

43  01 

42  22 

41  43 

41  03 

40  22 

39  41 

38  59 

38  16 

37  32 

36  48 

36  03 

35  17 

40 

50 

41  28 

40  51 

40  13 

39  34 

3855 

38  16 

37  34 

36  54 

36  12 

35  30 

34  46 

34  02 

.50 

8 

OO 

39  55 

39  18 

3842 

38  04 

37  27 

36  49 

36  10 

35  32 

34  51 

34  II 

33  28 

3246 

8    00 

10 

38  20 

37  46 

37  II 

36  35 

35  59 

35  23 

34  45 

3408 

33  30 

32  51 

32  11 

31  30 

10 

20 

36  46 

36  12 

35  40 

35  05 

34  30 

33  56 

33  20 

32  45 

32  08 

31  31 

30  52 

3?  'i 

20 

30 

35  II 

34  39 

34  07 

33  34 

33  02 

32  28 

31  55 

31  20 

30  45 

30  09 

29  33 

28  56 

30 

40 

33  34 

33  05 

32  34 

32  04 

31  31 

31  00 

30  28 

29  55 

29  21 

2847 

28  13 

2738 

40 

50 

31  58 

31  30 

31  00 

30  32 

30  01 

29  31 

29  00 

28  29 

27  57 

27  25 

2653 

26  19 

50 

9 

OO 

30  21 

29  54 

29  27 

28  58 

28  31 

28  02 

27  32 

27  03 

26  33 

26  02 

25  31 

25  00 

9     00 

lO 

28  44 

28  18 

27  52 

27  26 

2658 

26  32 

26  04 

25  37 

25  08 

24  39 

24  09 

23  40 

10 

20 

27  06 

26  42 

26  18 

25  52 

25  26 

25  01 

24  35 

24  09 

23  42 

23  15 

22  47 

22  19 

20 

30 

25  27 

25  05 

24  41 

24  18 

23  54 

23  30 

23  06 

22  41 

22  16 

21  51 

21  25 

20  58 

30 

40 

2348 

23  27 

23  05 

22  43 

22  21 

21  59 

21  36 

21  13 

20  49 

20  25 

20  01 

19  37 

40 

50 

22  09 

21  48 

21  29 

21  08 

20  48 

20  27 

20  06 

19  44 

19  22 

19  01 

18  38 

.  18  15 

50 

lO 

Oo 

20  28 

20  ID 

19  52 

19  33 

19  14 

1855 

1835 

18  15 

17  55 

17  34 

17  13 

16  52 

10     00 

lO 

18  48 

18  31 

18  14 

17  57 

17  39 

17  21 

17  04 

16  45 

16  27 

16  08 

15  49 

15  30 

10 

20 

17  07 

16  51 

1636 

16  20 

16  04 

15  48 

15  31 

15  15 

14  58 

14  41 

14  24 

14  07 

20 

30 

15  25 

15  12 

14  58 

14  43 

14  29 

14  15 

14  00 

13  45 

13  29 

13  14 

12  58 

12  43 

30 

40 

13  44 

13  31 

13  19 

13  06 

12  53 

12  40 

12  27 

12  14 

12  00 

II  46 

11  33 

II  18 

40 

50 

12  02 

II  51 

II  40 

II  29 

II  17 

II  06 

10  54 

10  43 

10  31 

10  19 

10  07 

9  54 

50 

11 

OO 

10  19 

10  09 

10  00 

9  50 

9  41 

9  31 

9  22 

9  12 

9  01 

8  50 

8  40 

8  30 

11     00 

lO 

837 

8  29 

8  21 

8  13 

8  04 

7  57 

7  48 

7  40 

7  32 

7  23 

7  14 

706 

10 

20 

653 

647 

6  41 

6  34 

6  28 

6  22 

6  15 

6  09 

6  01 

5  54 

5  47 

5  40 

20 

30 

5  " 

506 

5  01 

4  56 

4  52 

4  46 

4  41 

4  37 

4  31 

4  26 

4  21 

4  16 

30 

40 

3  27 

3  24 

1  21 

3  17 

3  14 

3  !i 

308 

3  04 

3  01 

258 

2  54 

2  51 

40 

50 

'       I  44 

I  42 

I  41 

I  39 

I  37 

I  35 

I  33 

I  32 

I  30 

I  29 

I  27 

I  25 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


232 


AZIMUTH  OR  TRUE  BEARING. 


i^atitude:  56°. 

DECI,INATION— SAME  NAME  AS— LATITUDE. 

latitude:  56°. 

1 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b. 

m. 

o  r 

0  ' 

0  f 

0  / 

0  / 

0  f 

0  / 

0  / 

0  / 

0  ' 

0  / 

b.    m. 

O 

OO 

O  CX) 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

e  00 

0  00 

0  00 

0  00 

0    00 

lO 

17  16 

15  35 

II  03 

9  12 

748 

6  43 

5  49 

506 

4  29 

358 

3  32 

10 

20 

31  26 

25  29 

21  06 

17  47 

15  13 

13  08 

11  27 

10  04 

853 

7  52 

6  59 

20 

30 

41  41 

34  56 

29  36 

25  21 

21  55 

19  06 

16  44 

14  45 

13  04 

II  37 

10  21 

30 

40 

48  47 

42  05 

36  26 

31  43 

27  45 

24  24 

21  33 

19  07 

17  00 

15  10 

13  34 

40 

50 

53  40 

47  21 

41  47 

36  55 

32  42 

29  02 

25  51 

23  05 

20  39 

18  29 

16  35 

50 

1 

OO 

57  03 

51  12 

45  53 

41  06 

36  49 

33  01 

29  37 

26  36 

23  56 

21  32 

19  23 

1    00 

lO 

59  24 

54  03 

49  02 

44  26 

40  12 

36  22 

32  52 

29  44 

26  52 

24  18 

21  58 

10 

20 

61  00 

56  07 

51  27 

47  03 

42  57 

39  09 

35  39 

32  26 

29  29 

26  46 

24  18 

20 

30 

62  06 

57  36 

53  15 

49  05 

45  09 

41  27 

38  00 

34  45 

31  46 

28  59 

26  25 

30 

40 

62  48 

5S39 

54  36 

50  41 

46  55 

43  21 

39  57 

3646 

33  45 

30  55 

28  18 

40 

50 

63  12 

59  22 

55  35 

51  53 

48  19 

44  53 

41  35 

38  26 

35  27 

32  37 

2958 

50 

2 

00 

63  23 

59  49 

56  17 

52  49 

49  24 

46  06 

42  55 

39  50 

36  54 

34  16 

31  25 

2     00 

lO 

63  22 

6003 

56  44 

53  28 

50  13 

47  03 

43  59 

41  00 

38  08 

35  21 

32  41 

10 

20 

63  13 

60  06 

56  59 

53  54 

50  50 

47  48 

44  51 

41  57 

3908 

36  25 

33  47 

20 

SO 

62  57 

60  02 

57  05 

54  09 

51  15 

48  21 

45  30 

42  42 

3958 

37  18 

34  43 

30 

12 

62  35 

59  49 

57  03 

54  16 

51  30 

48  44 

46  00 

43  18 

40  39 

38  02 

35  29 

40 

50 

62  07 

59  31 

56  53 

54  16 

51  37 

48  58 

46  20 

43  44 

41  09 

38  37 

3608 

50 

3 

OO 

61  36 

5908 

56  39 

54  08 

51  36 

49  04 

46  33 

44  03 

41  34 

39  06 

36  39 

3     00 

lO 

61  00 

58  40 

56  18 

53  55 

51  31 

49  05 

46  40 

44  14 

41  50 

39  25 

37  04 

10 

20 

60  23 

5809 

55-53 

53  36 

51  19 

4859 

46  39 

44  19 

42  00 

39  40 

37  21 

20 

30 

59  41 

57  34 

55  24 

53  14 

51  01 

4848 

46  33 

44  18 

42  03 

39  48 

37  33 

30 

« 

40 

58  57 

56  56 

54  52 

52  47 

50  41 

48  33 

46  23 

44  13 

42  03 

39  51 

37  40  ■ 

40 

50 

58  II 

56  15 

54  17 

52  18 

50  16 

48  12 

46  09 

44  03 

41  57 

39  49 

37  43 

50 

4 

OO 

57  23 

55  32 

53  39 

51  45 

49  48 

47  49 

45  49 

43  49 

41  47 

39  43 

37  40 

4     00 

10 

56  33 

54  47 

52  59 

51  08 

.49  16 

47  22 

45  27 

43  3° 

41  32 

39  33 

37  33 

10 

20 

55  42 

5%  00 

52  16 

50  31 

48  42 

46  52 

45  02 

43  09 

41  14 

39  19 

37  23 

20 

30 

54  49 

53  11 

51  31 

49  50 

48  05 

46  20 

44  33 

42  44 

40  53 

39  02 

37  10 

30 

40 

53  55 

52  20 

50  44 

49  06 

47  26 

45  45 

44  01 

42  17 

40  30 

3842 

36  52 

40 

50 

52  59 

51  28 

49  56 

48  21 

46  45 

45  07 

43  27 

41  46 

40  02 

38  19 

36  32 

50 

5 

OO 

52  02 

50  34 

49  05 

47  34 

46  02 

44  27 

42  51 

41  13 

39  33 

37  52 

36  09 

5     00 

10 

51  04 

49  39 

48  13 

46  46 

45  16 

43  45 

42  13 

40  38 

39  02 

37  24 

35  44 

10 

20 

50  04 

48  43 

47  20 

45  56 

44  30 

43  02 

41  31 

4J  00 

3827 

36  53 

35  16 

20 

30 

49  03 

47  45 

46  24 

45  03 

43  41 

42  16 

40  49 

39  21 

37  51 

36  20 

34  46 

30 

40 

48  01 

46  46 

45  28 

44  10 

42  51 

41  28 

40  05 

38  39 

37  13 

35  44 

34  13 

40 

50 

46  59 

45  46 

44  31 

43  16 

41  58 

40  40 

39  19 

37  57 

36  33 

35  07 

33  40 

50 

6 

OO 

45  55 

44  45 

43  33 

42  20 

41  05 

39  50 

38  32 

37  13 

35  51 

34  28 

33  03 

6     00 

10 

44  50 

43  43 

42  34 

41  23 

40  12 

3858 

37  42 

36  26 

35  07 

33  48 

3-'  25 

10 

20 

43  45 

42  40 

41  33 

40  26 

39  16 

38  05 

36  53 

35  38 

34  23 

33  05 

31  47 

20 

30 

42  39 

41  36 

40  31 

39  26 

38  18 

37  II 

36  00 

34  50 

33  36 

32  22 

31  05 

30 

40 

41  31 

40  31 

39  29 

38  25 

37  20 

36  15 

35  07 

33  59 

32  48 

31  36 

30  22 

40 

50 

40  22 

39  24 

38  24 

37  24 

36  22 

35  19 

34  13 

33  07 

31  59 

30  49 

-  29  38 

50 

7 

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39  13 

38  17 

37  20 

36  22 

35  21 

34  21 

33  18 

32  14 

31  08 

30  02 

28  54 

7    00 

10 

38  04 

37  10 

36  15 

35  19 

34  21 

33  22 

32  21 

31  19 

30  17 

29  13 

28  06 

10 

20 

36  54 

36  01 

3508 

34  14 

33  18 

32  22 

31  24 

30  25 

29  24 

28  23 

27  18 

20 

30 

35  42 

34  51 

34  01 

33  09 

32  15 

31  21 

30  25 

29  28 

28  30 

27  31 

26  30 

30 

40 

34  30 

33  41 

32  53 

32  03 

31  II 

30  20 

29  26 

28  32 

27  36 

2638 

25  40 

40 

50 

33  17 

32  31 

31  44 

30  57 

30  07 

29  17 

28  25 

27  33 

26  39 

25  45 

24  49 

60 

8 

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32  03 

31  19 

30  34 

29  48 

29  01 

28  14 

27  25 

26  34 

25  43 

24  50 

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8     00 

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30  49 

30  07 

29  24 

28  39 

27  54 

27  09 

26  22 

25  34 

24  45 

23  55 

23  03 

10 

20 

29  34 

28  54 

28  12 

27  31 

26  48 

26  05 

25  19 

24  34 

23  46 

22  59 

22  TO 

20 

30 

28  18 

27  40 

27  01 

26  20 

25  40 

24  58 

24  15 

23  32 

22  47 

22  01 

21  14 

30 

40 

27  01 

26  25 

25  48 

25  10 

24  32 

23  52 

23  10 

22  30 

21.47 

21  04 

20  19 

40 

50 

25  45 

25  II 

24  34 

23  59 

23  22 

22  44 

22  06 

21  27 

20  46 

20  05 

19  23 

50 

9 

OO 

24  27 

23  54 

23  20 

22  47 

22  12 

21  36 

21  00 

20  23 

19  45 

19  05 

18  25 

9     00 

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23  09 

22  38 

22  06 

21  34 

21  02 

20  28 

19  53 

19  18 

18  42 

1805 

17  27 

10 

20 

21  51 

21  22 

20  52 

20  22 

19  51 

19  19 

18  46 

18  13 

17  40 

17  05 

16  29 

20 

30 

20  31 

20  04 

1936 

19  08 

1838 

18  09 

17  38 

17  08 

1637 

16  04 

15  31 

30 

40 

19  12 

18  46 

18  30 

17  54 

17  26 

16  58 

16  30 

16  02 

15  32 

15  02 

14  31 

40 

50 

17  51 

1727 

17  03 

16  40 

16  14 

15  49 

15  22 

14  55 

14  28 

14  00 

13  31 

50 

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OO 

16  31 

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15  46 

15  24 

15  01 

14  37 

14  13 

1348 

13  23 

12  57 

12  30 

10   00 

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15  10 

14  50 

14  30 

14  09 

13  47 

13  25 

13  03 

12  40 

12  18 

II  54 

II  29 

10 

20 

13  49 

13  30 

13  12 

12  52 

12  34 

12  14 

II  53 

II  33 

II  II 

ID  50 

10  28 

20 

30 

12  27 

12  10 

II  54 

II  37 

II  19 

II  01 

10  43 

10  25 

10  06 

9  46 

9  27 

30 

40 

II  04 

10  49 

10  34 

10  20 

10  04 

948 

9  32 

9  16 

859 

8  41 

8  24 

40 

50 

9  42 

9  29 

9  16 

9  03 

8  49 

836 

8  22 

8  07 

7  52 

7  37 

7  22 

50 

11 

OO 

8  19 

8  08 

7  57 

7  46 

7  34 

7  23 

7  II 

658 

6  45 

632 

6  20 

11     00 

lO 

6  56 

6  48 

6  38 

6  29 

6  18 

6  09 

5  59 

548 

538 

528 

5  16 

10 

20 

5  33 

526 

5  18 

5  II 

5  °3 

4  55 

4  47 

4  40 

4  31 

4  22 

4  13 

fS 

30 

4  10 

4  04 

3  59 

3  54 

3  48 

3  42 

3  35 

3  30 

3  23 

3  17 

3  II 

30 

40 

2  47 

2  43 

2  40 

236 

2  32 

2  28 

2  24 

2  19 

2  16 

2  II 

2  07 

40 

50 

I  23 

I  22 

I  20 

I  18 

I  16 

I  14 

I  12 

I  10 

I  08 

I  06 

I  04 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Jiorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


233 


AZIMUTH  OR  TRUE  BEARING. 


i.ati'tude:  5 

7°. 

DECI^INATION- 

-SAME  NAME  AS— LATITUDE. 

liATITUDE  57^.    1 
1 

Honr  Angle. 

24° 

25° 

26° 

27° 

28° 

20° 

30° 

31° 

32° 

33° 

340 

350 

Honr  Angle. 

b.    m. 

o  / 

0  / 

0  / 

0  / 

0  ' 

0  ' 

0  / 

0  / 

0  r 

0  / 

0  / 

b.    m. 

O     OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

17548 

175  44 

175  38 

175  33 

175  27 

175  21 

175  14 

175  07 

174  59 

174  51 

174  42 

174  32 

10 

30 

171  38 

171  29 

171  18 

171  07 

170  55 

170  44 

170  30 

170  16 

170  01 

169  44 

169  27 

169  08 

20 

30 

167  30 

167  16 

167  00 

166  45 

166  28 

166  10 

165  50 

165  29 

165  07 

164  43 

164  18 

163  50 

30 

40 

163  26 

163  07 

*^2  47 

162  26 

162  03 

161  40 

161  14 

160  48 

160  19 

159  49 

159  15 

158  40 

40 

50 

159  24 

159  02 

15838 

158  13 

157  46 

157  17 

156  46 

156  14 

155  39 

155  02 

154  23 

153  41 

50 

1     OO 

155  29 

155  03 

154  35 

154  05 

153  34 

153  01 

152  26 

151  48 

151  09 

150  27 

149  42 

148  53 

1    00 

lO 

151  39 

151  09 

150  37 

150  04 

149  29 

148  53 

148  13 

147  31 

146  48 

146  01 

145  12 

144  18 

10 

20 

147  55 

147  22 

146  47 

146  II 

145  33 

144  53 

144  10 

143  35 

142  37 

141  47 

140  53 

139  56 

20 

30 

144  18 

143  41 

143  04 

142  25 

141  44 

141  01 

140  16 

139  28 

138  37 

137  44 

136  48 

135  47 

30 

40 

140  46 

140  08 

139  28 

13847 

138  04 

137  18 

136  31 

135  41 

^34  48 

133  53 

132  54 

131  51 

40 

50 

137  21 

136  42 

136  00 

135  18 

134  33 

133  45 

132  55 

132  03 

131  09 

130  12 

129  12 

128  08 

50 

2     OO 

134  04 

133  22 

132  38 

•131  54 

131  08 

130  20 

129  28 

128  35 

127  40 

126  41 

125  40 

124  35 

2     00 

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130  52 

130  09 

129  25 

12S  39 

127  52 

127  02 

126  10 

125  17 

124  20 

123  21 

122  19 

121  14 

la- 

20 

127  47 

127  03 

126  18 

125  32 

124  44 

123  53 

i«3  00 

122  06 

121  09 

120  10 

119  oS 

118  03 

20 

30 

124  47 

124  03 

123  17 

122  30 

121  41 

120  51 

"9  57 

no  03 

118  06 

117  07 

116  05 

115  01 

30 

40 

121  53 

121  09 

120  23 

11935 

118  46 

"7  55 

117  02 

116  07 

115  10 

114  II 

113  10 

112  06 

40 

50 

119  06 

118  21 

"7  34 

116  46 

"5  57 

115  06 

"4  13 

113  18 

112  22 

III  24 

no  23 

109  19 

50 

3     OO 

116  23 

"5  37 

114  50 

114  02 

"3  14 

112  23 

III  30 

no  36 

109  40 

108  42 

107  43 

106  40 

3   00 

10 

113  42 

112  58 

112  12 

III  24 

no  36 

109  45 

108  53 

^07  59 

107  03 

106  06 

105  07 

104  05 

10 

20 

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no  25 

10938 

108  51 

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107  12 

106  21 

105  27 

104  32 

103  36 

102  38 

lOI  38 

20 

30 

108  40 

107  55 

107  09 

106  22 

105  a3 

104  44 

103  53 

103  01 

102  06 

101  n 

100  13 

99  15 

30 

40 

106  14 

105.29 

104  44 

103  57 

103  09 

102  20 

loi  29 

100  37 

99  44 

^50 

97  54 

9656 

40 

50 

103  52 

103.07 

102  22 

loi  35 

100  48 

100  00 

99  10 

98  19 

97  27 

96  33 

9538 

94  42 

50 

4     OO 

loi  33 

100  49 

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99  18 

9831 

97  44 

96  54 

96  04 

95  13 

94  20 

93  27 

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99  16 

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97  03 

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94  41 

93  52 

93  01 

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90  22 

10 

20 

97  03 

96  19 

95  35 

94  51 

94  06 

93  20 

92  31 

91  43 

90  53 

^^ 

89  n 

88  17 

20 

30 

94  51 

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93  25 

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91  57 

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40 

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89  12 

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82  17 

50 

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88  29 

8748 

87  07 

86  25 

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84  14 

83  29 

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81  57 

81  09 

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86  25 

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85  04 

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82  15 

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80  46 

80  00 

79  14 

78  24 

10 

20 

84  23 

83  43 

83  03 

82  22 

81  41 

81  02 

80  19 

79  33 

7849 

78  05 

77  19 

76  32 

20 

30 

82  21 

81  42 

81  02 

80  22 

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79  01 

78  19 

77  36 

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75  25 

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30 

40 

80  20 

79  43 

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7824 

77  44 

77  04 

76  23 

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74  15 

73  33 

72  48 

40 

50 

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76  27 

75  47 

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74  28 

73  46 

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72  24 

71  41 

7058 

50 

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76  22 

75  45 

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72  33 

71  53 

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70  31 

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74  23 

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67  17 

10 

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72  26 

71  49 

71  13 
69  16 

70  37 

70  00 

69  23 

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20 

30 

70  27 

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66  13 

6536 

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64  19 

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30 

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66  09 

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64  21 

63  44 

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62  29 

61  51 

40 

50 

6631 

65  57 

65  24 

64  49 

64  14 

63  39 

63  04 

62  28 

61  52 

61  16 

.  6040 

60  02 

50 

7     OO 

64  34 

64  00 

63  27 

62  53 

62  19 

61  46 

61  10 

60  36 

60  01 

59  25 

5850 

5813 

7    00 

10 

62  35 

62  02 

61  30 

60  56 

60  24 

59  5«> 

59  17 

58  43 

58  09 

57  34 

57  00 

56  23 

10 

20 

6036 

60  05 

59  33 

59  00 

5829 

57  55 

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56  50 

56  17 

55  43 

55  10 

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20 

30 

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57  36 

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56  32 

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54  57 

54  25 

53  52 

53  19 

5245 

30 

40 

5638 

5608 

55  37 

55  07 

54  36 

54  05 

53  34 

53  03 

62  32 

52  00 

51  28 

5056 

40 

50 

54  38 

54  09 

53  39 

53  09 

5240 

52  09 

51  39 

51  09 

5038 

50  08 

4938 

49  05 

50 

8     OO 

52  36 

52  08 

51  39 

51  10 

50  42 

50  13 

49  43 

49  14 

4845 

48  15 

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47  15 

8     OO 

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50  35 

50  08 

49  40 

49  12 

48  43 

48  15 

4748 

47  19 

46  50 

46  22 

45  53 

45  23 

10 

20 

48  33 

48  06 

47  39 

47  12 

46  45 

46  17 

45  51 

45  23 

44  56 

44  27 

44  00 

43  31 

20 

30 

46  30 

46  04 

4538 

45  12 

44  46 

44  19 

43  53 

43  26 

43  00 

42  33 

42  06 

41  39 

30 

40 

44  26 

44  01 

43  35 

43  10 

42  45 

42  20 

41  54 
39  56 

41  29 

41  03 

40  37 

40  12 

39  46 

40 

50 

42  21 

41  57 

41  32 

41  08 

4044 

40  20 

39  31 

39  06 

38  42 

38  18 

37  53 

50 

9     OO 

40  15 

39  51 

3928 

39  04 

3841 

38  19 

3756 

37  32 

37  09 

3646 

36  22 

35  57 

8     00 

lO 

3808 

37  45 

37  23 

37  01 

36  39 

36  17 

35  55 

35  32 

35  10 

34  48 

34  26 

34  03 

10 

20 

36  00 

3538 

35  18 

3456 

34  36 

34  15 

33  54 

33  33 

33  II 

32  51 

32  29 

32  08 

20 

30 

33  51 

33  31 

33  10 

32  51 

3231 

32  11 

31  5'- 

31  32 

31  n 

30  51 

30  31 

30  n 

30 

40 

51  41 

31  22 

31  03 

30  44 

30  26 

3006 

2948 

29  29 

29  10 

28  52 

28  32 

28  13 

40 

50 

29  30 

29  13 

28  54 

2837 

28  19 

28  01 

27  45 

27  26 

27  09 

26  52 

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26  16 

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27  18 

27  01 

26  45 

26  29 

26  12 

25  56 

25  40 

25  23 

25  07 

24  50 

24  35 

24  18 

10     00 

lO 

25  05 

24  49 

24  34 

24  19 

24  04 

23  50 

23  34 

23  J9 

23  04 

22  49 

22  34 

22  19 

10 

SO 

22  52 

22  38 

22  23 

22  09 

21  54 

21  42 

21  28 

21  14 

21  01 

20  47 

20  34 

20  19 

20 

30 

20  37 

20  24 

20  12 

19  59 

19  47 

19  34 

19  22 

19  09 

18  56 

18  44 

18  31 

iS  19 
16  18 

30 

40 

18  21 

18  10 

17  59 

1748 

J7  37 

17  25 

17  14 

17  02 

16  52 

16  40 

16  29 

40 

50 

16  05 

15  56 

15  46 

15  36 

15  26 

15  16 

15  06 

14  56 

14  46 

14  36 

14  26 

14  17 

50 

11     OO 

13  49 

13  40 

13  31 

13  24 

13  15 

13  07 

12  58 

12  49 

12  40 

12  32 

12  24 

12  15 

11     00 

lO 

II  32 

II  24 

11  17 

II  10 

II  03 

10  56 

10  49 

ID  42 

10  34 

10  28 

10  20 

10  12 

10 

20 

9  14 

9  08 

9  02 

8  57 

851 

8  46 

8  40 

834 

8  28 

8  22 

8  17 

8  n 

20 

30 

6  56 

651 

647 

6  42 

639 

635 

629 

625 

6  21 

617 

613 

6  09 

30 

40 

4  37 

4  35 

4  32 

4  28 

4  26 

4  23 

4  30 

4  17 

4  15 

4  11 

4  09 

406 

40 

50 

2  19 

2  17 

2  16 

2  14 

2  12 

2  II 

2  ID 

2  08 

2  07 

2  06 

2  04 

2  02 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  deollnatlon  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  a«imuth  is  to  be  taken  for  the  required  true  bearing. 


234 


AZIMUTH  OR  TRUE  BEARING. 


liATITCDE  57°. 

DEClvINATION- 

SAME  NAME  AS— LATITUDE. 

LATITUDE  67°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

h. 

ni. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  f 

0  / 

0  / 

0  / 

0  r 

li.    III. 

0 

OO 

i8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

174  22 

174  10 

173  58 

173  44 

173  28 

173  11 

172  50 

172  28 

172  03 

171  32 

170  57 

170  15 

10 

fto 

i68  47 

168  25 

168  00 

167  32 

167  01 

166  28 

165  50 

165  06 

164  16 

163  19 

162  12 

160  53 

20 

30 

163  20 

162  47 

162  II 

161  31 

160  48 

159  59 

159  04 

158  03 

156  53 

155  33 

154  00 

152  12 

30 

40 

158  01 

157  19 

156  33 

155  43 

154  48 

153  46 

152  39 

151  22 

149  56 

148  18 

146  28 

144  19 

40 

50 

152  55 

152  05 

151  10 

150  II 

149  06 

147  56 

146  37 

145  09 

143  32 

141  42 

139  40 

137  20 

50 

1 

OO 

148  01 

147  05 

146  04 

144  58 

143  45 

142  27 

141  01 

139  25 

137  41 

135  44 

133  33 

131  08 

1     00 

lO 

143  20 

142  20 

141  13 

140  02 

138  45 

137  21 

135  49 

134  10 

132  2e 

130  19 

128  07 

125  39 

10 

20 

13855 

137  50 

136  41 

135  26 

134  04 

132  37 

131  03 

129  20 

127  28 

125  26 

123  15 

120  50 

20 

30 

134  44 

133  36 

132  24 

131  05 

129  42 

128  14 

126  38 

124  53 

123  02 

121  01 

118  52 

116  29 

30 

40 

130  46 

129  36 

128  21 

127  03 

12538 

124  09 

122  33 

120  49 

118  59 

117  00 

114  54 

112  37 

40 

50 

127  01 

125  50 

124  35 

123  16 

121  51 

120  22 

118  46 

117  04 

115  16 

113  21 

III  18 

109  06 

50 

3 

00 

123  28 

122  17 

121  01 

119  42 

118  18 

116  49 

"5  I'S 

113  36 

III  50 

109  57 

107  59 

105  53 

2     00 

" 

lO 

120  07 

118  55 

117  41 

ii5  22 

114  58 

113  32 

III  59 

no  21 

108  40 

106  50 

104  57 

102  55 

10 

20 

"6.  55 

115  44 

114  30 

113  12 

III  51 

no  25 

108  56 

107  20 

105  42 

103  57 

102  07 

100  II 

20 

30 

113  53 

112  43 

III  30 

no  J3 

108  53 

107  30 

106  03 

104  30 

102  54 

101  13 

99  27 

97  36 

30 

40 

III  00 

109  51 

1-08  39 

J07  24 

106  05 

104  44 

103  18 

loi  50 

100  17 

9839 

9658 

95  II 

40 

50 

108  15 

107  07 

105  56 

104  42 

103  25 

102  07 

100  44 

99  18 

97  48 

96  14 

94  36 

92  54 

50 

3 

OO 

105  36 

104  29 

103  20 

102  07 

100  53 

99  36 

98  16 

96  52 

95  25 

93  55 

92  22 

90  44 

3     00 

lO 

103  03 

1 01  57 

100  50 

99  40 

98  27 

97  13 

95  54 

94  33 

93  09 

91  42 

90  12 

88  39 

10 

20 

100  36 

99  32 

9826 

97  17 

96  07 

94  54 

93  38 

92  19 

90  58 

89  35 

88  08 

8638 

20 

30 

98  14 

97  II 

96  07 

95  00 

93  51 

92  41 

91  27 

90  12 

8854 

87  32 

86  09 

84  42 

30 

40 

95  57 

94  56 

93  52 

92  47 

91  41 

90  32 

89  21 

88  08 

86  52 

85  34 

84  14 

82  50 

40 

SO 

93  43 

92  44 

91  42 

90  39 

8933 

88  26 

87  18 

86  07 

84  53 

8338 

82  21 

81  00 

60 

4 

OO 

91  34 
89  27 

9036 

89  36 

88  34 

87  31 

86  26 

85  19 

84  10 

82  59 

81  46 

80  31 

79  14 

4     00 

10 

88  31 

87  32 

86  31 

85.30 

84  27 

83  23 

82  15 

81  07 

79  56 

78  44 

77  29 

10 

20 

87  24 

86  28 

85  31 

84  32 

83  33 

82  31 

81  29 

80  23 

79  18 

78  09 

76  59 

75  47 

20 

30 

85  23 

84  29 

8333 

82  35 

81  37 

80  38 

79  37 

7833 

77  29 

76  23 

75  16 

74  06 

30 

40 

83  24 

82  30 

81  36 

80  41 

79  44 

78  47 

77  47 

76  46 

75  44 

74  40 

73  33 

72  27 

40 

50 

81  27 

8035 

79  43 

7848 

77  52 

7656 

75  59 

75  00 

73  59 

72  57 

71  55 

70  49 

50 

5 

OO 

79  31 

78  41 

77  50 

76  57 

76  03 

75  08 

74  13 

73  15 

72  16 

71  16 

?2  '5 

69  II 

5     00 

lO 

77  37 

76  48 

75  58 

75  06 

74  14 

73  21 

72  27 

71  30 

70  34 

69  35 

6837 

67  35 

10 

20 

75  46 

74  58 

74  08 

73  18 

72  27 

71  35 

70  42 

6948 

6854 

67  57 

6659 

66  01 

20 

30 

73  54 

73  07 

72  19 

71  31 

70  40 

69  51 

69  00 

68  06 

67  13 

66  18 

65  23 

64  25 

30 

40 

72  03 

71  18 

70  31 

69  44 

6855 

68  06 

67  16 

6625 

65  33 

64  40 

63  46 

62  51 

40 

60 

70  14 

69  30 

68  44 

67  57 

67  II 

66  23 

65  35 

64  45 

63  54 

63  03 

62  10 

61  17 

50 

6 

OO 

68  2S 

67  41 

6657 

66  II 

65  26 

64  40 

63  53 

63  04 

62  16 

61  26 

60  35 

59  43 

6     00 

lO 

66  36 

65  54 

65  II 

64  27 

63  42 

62  57 

62  11 

61  24 

60  37 

59  48 

58  59 

5809 

10 

20 

64  48 

64  07 

63  25 

62  43 

61  59 

61  15 

60  31 

59  45 

58  59 

58  12 

57  25 

5636 

20 

30 

63  00 

62  20 

61  40 

60  57 

60  15 

59  33 

58  50 

58  05 

57  20 

5635 

55  49 

55  02 

30 

40 

6:  12 

60  34 

59  53 

59  13 

58  32 

57  51 

5708 

5625 

55  43 

54  58 

54  14 

53  27 

40 

50 

59  25 

58  47 

58  08 

57  29 

56  49 

56  09 

55  28 

54  46 

54  05 

53  22 

52  39 

51  54 

50 

7 

OO 

57  37 

57  00 

56  22 

55  44 

55  06 

54  27 

53  47 

53  07 

52  26 

51  45 

51  03 

50  20 

7     00 

10 

55  48 

55  13 

54  36 

53  59 

53  21 

52  45 

52  06 

51  27 

50  47 

50  07 

49  27 

48  46 

10 

20 

54  00 

53  26 

52  50 

52  14 

51  38 

51  02 

50  25 

49  47 

49  09 

48  30 

47  50 

47  II 

20 

30 

52  12 

51  39 

51  04 

50  29 

49  54 

49  19 

48  43 

48  06 

47  29 

46  52 

46  15 

45  35 

30 

40 

50  23 

49  51 

49  17 

48  43 

48  09 

47  36 

47  01 

46  25 

45  50 

45  13 

44  38 

44  00 

40 

50 

4834 

48  03 

47  30 

46  57 

46  25 

45  52 

45  18 

44  45 

44  10 

43  35 

43  00 

42  25 

50 

8 

OO 

46  44 

46  14 

45  43 

45  11 

44  39 

4408 

43  35 

43  03 

42  30 

41  56 

41  22 

4047 

8     00 

10 

44  54 

44  25 

43  55 

43  25 

42  54 

42  23 

41  53 

41  21 

40  49 

40  16 

39  45 

39  12 

10 

20 

43  04 

42  35 

42  06 

41  37 

41  07 

40  38 

40  08 

39  38 

39  08 

3836 

38  06 

37  34 

20 

30 

41  12 

40  44 

40  17 

39  49 

39  21 

38  52 

38  25 

37  55 

37  26 

36  57 

36  27 

35  56 

30 

40 

39  20 

3854 

3828 

38  00 

37  33 

37  07 

36  39 

36  II 

35  44 

35  16 

34  47 

34  18 

40 

50 

37  28 

37  03 

36  37 

36  II 

35  45 

35  20 

34  54 

34  27 

34  01 

33  34 

33  07 

32  39 

50 

9 

00 

35  34 

35  10 

34  47 

34  22 

33  57 

33  32 

33  08 

32  42 

32  17 

31  51 

31  26 

30  59 

9     00 

10 

33  41 

33  18 

32  55 

32  32 

32  08 

31  45 

31  21 

30  57 

30  34 

30  09 

29  45 

29  20 

10 

20 

31  46 

31  25 

31  03 

30  41 

30  19 

29  57 

29  35 

29  12 

28  49 

28  27 

28  03 

27  40 

20 

30 

29  51 

29  30 

29  10 

28  49 

28  29 

28  08 

27  47 

27  26 

27  04 

26  43 

26  21 

25  59 

30 

40 

27  54 

27  35 

27  16 

26  57 

26  37 

26  19 

25  59 

2538 

25  19 

2458 

2438 

24  17 

.40 

50 

25  59 

25  41 

25  22 

25  04 

24  46 

24  28 

24  10 

23  51 

23  32 

23  13 

22  54 

22  36 

50 

lO 

00 

24  01 

23  45 

23  28 

23  II 

22  54 

22  37 

22  21 

22  04 

21  46 

21  29 

21  II 

20  53 

10     00 

lO 

22  03 

21  48 

21  33 

21  17 

21  01 

20  46 

20  31 

20  14 

19  59 

19  43 

19  26 

19  10 

10 

20 

20  06 

19  52 

19  37 

19  23 

19  09 

18  55 

18  41 

18.26 

18  12 

17  57 

17  42 

17  27 

20 

30 

18  06 

17  54 

17  41 

17  28 

17  15 

17  03 

16  50 

16  37 

16  24 

16  II 

15  57 

15  44 

30 

40 

16  06 

15  56 

15  44 

15  32 

15  21 

15  II 

14  59 

14  47 

14  35 

r4  24 

14  12 

14  00 

40 

60 

14  07 

1358 

13  47 

13  38 

13  27 

13  17 

13  07 

12  57 

12  47 

12  37 

12  26 

12  16 

50 

11 

OO 

12  06 

II  58 

II  50 

II  41 

II  33 

II  24 

II  15 

II  07 

10  58 

10  49 

10  40 

10  31 

11     00 

10 

10  07 

9  59 

9  52 

9  45 

938 

9  31 

9  24 

9  16 

9  09 

9  02 

8  54 

8  46 

10 

20 

8  06 

8  00 

7  54 

7  48 

7  42 

7  37 

7  31 

7  25 

7  20 

7  13 

7  07 

702 

20 

30 

6  05 

6  00 

556 

5  52 

5  47 

5  43 

538 

5  34 

5  29 

5  25 

5  21 

5  16 

30 

40 

4  03 

4  00 

3  57 

3  54 

3  51 

3  49 

3  46 

3  43 

3  40 

3  37 

3  34 

3  31 

40 

50 

2  02 

2  00 

I  58 

I  57 

I  56 

I  54 

I  53 

I  51 

I  50 

I  48 

I  46 

I  45 

50 

13 

00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  !<«outh  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


235 


AZJMUTH  OR  TRUE  BEARING. 


liATlTUDE  57°. 

DECI,INATION- 

-SAME  NAME  AS— LATITUDE. 

liATITUDE:  57°. 

Hour 

Angle. 

48° 

4»° 

50° 

51° 

52° 

53° 

54° 

55° 

66° 

57° 

58° 

59° 

Hour  Angle. 

h. 

m. 

o  / 

0  / 

0  / 

0  / 

0  ' 

0  1 

0  ' 

0  / 

0  / 

0  / 

0  t 

0  t 

it.    ni. 

o 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0  00 

0    00 

lO 

169  23 

168  20 

167  00 

165  13 

162  47 

159  15 

153  41 

144  00 

124  52 

88' 57 

52  18 

32  28 

10 

20 

159  18 

157  22 

154  56 

151  51 

147  48 

142  17 

134  36 

123  28 

107  49 

87  54 

67  29 

50  51 

20 

30 

150  04 

147  31 

144  25 

140  37 

135  51 

129  47 

122  05 

112  21 

100  26 

86  51 

72  55 

60  08 

30 

40 

142  51 

138  57 

135  31 

131  27 

126  34 

120  43 

113  43 

105  29 

96  04 

85  48 

75  16 

65  07 

40 

50 

134  40 

131  36 

128  06 

124  03 

119  21 

113  55 

107  44 

100  43 

93  00 

8445 

76  17 

6758 

50 

1 

OO 

128  25 

125  21 

121  53 

"7  39 

113  35 

108  38 

103,09 

9706 

90  35 

83  42 

7638 

69  35 

1     00 

lO 

122  57 

119  58 

116  39 

H2  56 

108  52 

104  22 

99  29 

94  12 

8833 

82  39 

^635 

79  29 

10 

20 

118  II 

115  17 

112  07 

108  40 

104  53 

100  49 

96  25 

91  43 

8645 

81  33 

76  17 

70  55 

20 

30 

"3  56 

III  II 

108  II 

104  58 

loi  29 

97  44 

93  46 

8933 

85  08 

80  32 

75  49 

71  01 

30 

40 

no  10 

107  32 

104  43 

loi  42 

98  29 

95  03 

91  25 

8736 

8337 

79  28 

75  14 

7"  54 

40 

50 

106  45 

104  16 

1 01  36 

9847 

95  47 

92  37 

89  18 

8548 

82  10 

78  24 

74  32 

70  37 

SO 

2 

OO 

103  39 

loi  iG 

98  46 

96  08 

93  20 

90  24 

87  20 

84  07 

8047 

77  20 

7348 

70  12 

2     00 

lO 

100  47 

9833 

96  II 

93  41 

91  05 

88  21 

8530 

82  32 

7926 

76  16 

73  00 

69  40 

10 

20 

98  09 

96  01 

93  47 

91  26 

8859 

8625 

83  46 

81  00 

7808 

75  II 

72  10 

69  04 

20 

30 

95  40 

93  39 

91  32 

89  19 

87  01 

8437 

82  07 

79  32 

76  52 

74  06 

71  17 

68  23 

30 

40 

93  21 

91  25 

89  25 

87  19 

85  09 

82  52 

80  32 

78  06 

75  36 

73  02 

70  23 

67  41 

40 

50 

91  08 

S9  iS 

87  24 

85  25 

83  21 

81  13 

79  01 

76  43 

74  22 

71  56 

69  28 

6655 

50 

3 

OO 

89  02 

87  17 

85  28 

83  35 

81  38 

79  36 

77  31 

75  22 

73  08 

70  51 

6830 

66  06 

3     00 

lO 

87  01 

85  21 

83  37 

81  49 

79  57 

78  02 

76  04 

74  00 

71  54 

69  45 

67  31 

65  15 

10 

20 

85  05 

83  29 

81  50 

80  07 

78  21 

76  31 

74  38 

72  41 

7041 

6838 

66  32 

64  23 

20 

30 

83  13 

81  41 

80  05 

78  27 

76  46 

75  01 

73  14 

71  22 

69  29 

67  32 

65  32 

63  29 

30 

40 

3 1  24 

79  55 

78  24 

76  50 

75  14 

73  33 

71  50 

70  o>: 

68  16 

6625 

64  31 

62  34 

40 

50 

79  38 

78  13 

76  46 

75  15 

73  43 

72  07 

70  29 

6847 

67  04 

65  17 

63  28 

61  37 

50 

4 

OO 

77  55 

76  33 

75  09 

73  42 

72  13 

70  41 

69  08 

67  31 

65  52 

64  10 

62  25 

6039 

4     00 

lO 

76  12 

74  54 

73  33 

72  10 

70  45 

69  17 

67  46 

66  14 

64  39 

63  01 

61  22 

59  40 

10 

20 

74  33 

73  18 

71  59 

70  39 

69  17 

67  52 

66  27 

6458 

63  26 

61  53 

60  17 

5839 

20 

30 

72  55 

71  41 

70  27 

69  09 

67  51 

66  29 

65  'j6 

63  40 

62  13 

60  44 

59  12 

57  38 

30 

40 

71  18 

70  08 

6855 

67  41 

66  25 

65  07 

6348 

62  25 

60  59 

59  35 

58  06 

5636 

40 

50 

69  42 

6834 

67  24 

66  12 

65  00 

63  45 

62  27 

61  08 

59  48 

58  25 

57  00 

55  33 

50 

5 

OO 

68  07 

67  ox 

65  54 

64  45 

63  34 

62  22 

61  08 

59  52 

5S  34 

57  14 

55  51 

54  29 

5     00 

lO 

6633 

65  30 

64  24 

63  18 

62  10 

60  59 

59  49 

58  35 

57  20 

56  03 

54  44 

53  24 

10 

20 

65  00 

63  59 

62  55 

61  50 

60  45 

59  38 

58  29 

57  18 

56  06 

54  52 

53  37 

52  19 

20 

30 

63  27 

62  28 

61  27 

60  24 

59  21 

58  15 

57  09 

56  00 

54  51 

53  40 

52  27 

51  12 

30 

40 

61  54 

6056 

59  57 

58  57 

57  56 

56  53 

55  49 

54  43 

53  36 

52  27 

51  17 

50  05 

40 

50 

60  22 

59  26 

58  29 

57  31 

563= 

55  31 

54  29 

53  25 

52  21 

51  15 

50  07 

4858 

50 

6 

OO 

5850 

57  56 

57  01 

56  04 

55  07 

5408 

53  09 

52  07 

51  05 

50  01 

48  55 

47  49 

6     00 

lO 

57  18 

56  25 

55  32 

54  37 

S3  42 

52  45 

51  48 

50  49 

49  48 

48  47 

47  44 

46  39 

10 

20 

55  46 

54  55 

54  03 

53  II 

52  17 

51  22 

50  28 

49  29 

4832 

47  32 

46  32 

45  29 

20 

30 

54  14 

53  25 

52  35 

51  44 

50  52 

49  59 

49  05 

48  10 

47  15 

46  17 

45  18 

44  18 

30 

40 

52  41 

51  54 

51  05 

50  16 

49  26 

4835 

47  43 

46  50 

45  57 

45  01 

44  04 

43  06 

40 

50 

51  09 

50  23 

49  37 

48  49 

48  01 

47  12 

46  21 

45  30 

44  38 

43  44 

42  50 

41  54 

50 

7 

OO 

49  37 

48  52 

48  07 

47  ^2 

46  35 

45  46 

44  59 

44  09 

43  19 

42  27 

41  35 

40  41 

7     00 

lO 

48  03 

47  20 

46  37 

45  53 

45  08 

44  22 

43  35 

42  48 

41  59 

41  10 

40  19 

39  27 

10 

20 

46  30 

45  48 

45  07 

44  ^4 

43  41 

42  57 

42  12 

41  25 

40  39 

39  51 

59  03 

38  13 

20 

30 

44  57 

44  17 

43  36 

42  55 

42  13 

41  31 

40  4S 

40  04 

39  18 

38  33 

37  46 

3658 

30 

40 

43  23 

42  44 

42  05 

41  26 

40  45 

40  04 

39  23 

38  40 

37  58 

37  13 

36  28 

35  43 

40 

50 

41  48 

41  II 

40  34 

39  56 

39  18 

3838 

3758 

37  17 

3636 

35  53 

35  10 

34  26 

50 

8 

OO 

40  13 

3938 

39  01 

38  25 

3748 

37  10 

36  32 

35  53 

35  13 

34  33 

33  52 

33  09 

8     00 

lO 

3838 

38  03 

37  29 

36  54 

36  19 

35  43 

35  06 

34  28 

33  51 

33  12 

32  32 

31  52 

10 

20 

37  02 

36  29 

35  57 

35  22 

34  48 

34  14 

33  39 

33  03 

32  27 

31  50 

31  12 

30  34 

20 

30 

35  25 

34  54 

34  23 

33  51 

33  18 

32  45 

32  II 

31  37 

31  03 

30  27 

29  51 

29  15 

30 

40 

3348 

33  19 

32  48 

32  18 

31  47 

31  16 

30  44 

30  II 

2938 

29  05 

28  30 

27  55 

40 

50 

32  II 

31  43 

31  14 

30  45 

30  16 

29  46 

29  16 

28  45 

28  13 

27  41 

27  08 

26  35 

50 

9 

OO 

30  33 

30  06 

29  39 

29  12 

28  44 

28  15 

27  47 

27  17 

26  48 

26  17 

25  46 

25  15 

9     00 

lO 

2855 

28  29 

28  03 

27  37 

27  II 

26  44 

26  17 

25  49 

25  21 

24  53 

24  23 

23  54 

10 

20 

27  16 

26  52 

26  27 

26  03 

25  38 

25  13 

24  48 

24  21 

23  55 

23  28 

23  01 

22  33 

20 

30 

25  36 

25  14 

24  51 

24  28 

24  05 

23  41 

23  17 

22  52 

22  27 

22  02 

21  37 

21  n 

30 

40 

23  57 

23  36 

23  14 

22  52 

22  30 

22  08 

21  46 

21  23. 

21  00 

20  36 

20  12 

19  47 

40 

50 

22  16 

21  56 

21  37 

21  16 

20  56 

20  35 

20  14 

19  53 

19  32 

19  10 

18  47 

18  25 

50 

10 

OO 

20  36 

20  17 

19  59 

19  40 

19  21 

19  02 

18  44 

18  23 

18  04 

17  43 

17  23 

17  02 

10    00 

lO 

18  53 

18  37 

18  20 

18  03 

17  46 

17  28 

17  II 

16  52 

16  34 

16  16 

15  57 

15  37 

10 

20 

17  12 

16  57 

16  42 

16  26 

16  10 

15  54 

1538 

15  22 

15  05 

14  48 

14  32 

14  14 

20 

30 

15  30 

15  16 

15  02 

14  49 

14  34 

14  20 

14  06 

13  50 

1336 

13  21 

13  05 

12  49 

30 

40 

13  48 

13  35 

13  23 

13  II 

12  59 

12  45 

12  32 

12  19 

12  06 

II  52 

II  39 

II  25 

40 
50 

50 

12  06 

II  54 

II  43 

II  32 

II  22 

II  10 

10  59 

10  48 

10  35 

10  24 

10  12 

10  00 

11 

OO 

10  22 

10  13 

10  03 

9  54 

9  45 

9  35 

9  25 

9  15 

9  05 

855 

845 

•  8  34 

11     00 

lO 

8  39 

831 

8  24 

8  16 

8  07 

8  00 

7  51 

7  43 

7  35 

726 

7  18 

7  09 

10 

20 

655 

6  49 

6  43 

637 

631 

6  24 

6  18 

6  10 

6  04 

5  57 

5  50 

5  43 

20 

30 

5  II 

5  07 

5  02 

4  57 

4  53 

4  48 

4  43 

4  38 

4  34 

4  28 

4  23 

4  18 

30 
40 

40 

3  27 

3  24 

3  21 

3  18 

3  15 

3  12 

3  09 

3  06 

3  02 

2  59 

256 

2  52 

50 

I  44 

I  43 

I  41 

I  40 

138 

136 

I  34 

I  32 

I  31 

I  29 

I  28 

I  26 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latltade,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


286 


AZIMUTH  OR  TRUE  BEARING. 


liATITUOE  67°. 

DECL,INATION— SAME  NAME  AS— LATITUDE. 

IiATITCTDE  67°. 

Hour  Angle. 

60= 

61° 

6a° 

63° 

64° 

66° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

Ii.     m. 

0   ' 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  , 

0  ' 

0  / 

0  / 

0  / 

li.    ni. 

O     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

lO 

22  28 

16  47 

13  10 

10  42 

8  54 

7  31 

6  28 

536 

4  53 

4  18 

3  47 

10 

ao 

38  17 

30  39 

24  47 

20  29 

17  13 

14  41 

12  40 

II  01 

9  39 

8  30 

731 

ao 

30 

49  24 

40  50 

34  06 

28  48 

24  36 

21  12 

18  26 

16  08 

14  10 

12  31 

II  06 

30 

40 

55  56 

47  57 

41  12 

35  34 

30  51 

26  55 

23  36 

20  48 

18  24 

16  19 

14  32 

40 

60 

60  Oj 

52  53 

46  29 

40  5^ 

36  00 

31  48 

28  09 

24  59 

22  15 

19  50 

17  43 

60 

1     OO 

62  46 

56  19 

50  23 

45  00 

40  ID 

35  52 

32  04 

28  41 

25  42 

23  02 

20  39 

1     00 

lO 

64  29 

58  43 

53  15 

48  II 

43  30 

39  15 

35  23 

31  54 

28  44 

^§  55 

23  20 

10 

ao 

65  35 

60  23 

55  22 

50  36 

46  09 

42  00 

38  10 

3458 

31  25 

28  28 

25  47 

ao 

so 

66  14 

61  30 

56  54 

52  28 

48  14 

44  13 

40.29 

.  36  59 

33  44 

30  44 

27  57 

30 

40 

6633 

62  14 

58  00 

53  51 

49  50 

46  01 

42  24 

3857 

35  42 

32  41 

29  52 

40 

50 

66  39 

62  40 

5844 

54  51 

51  05 

47  26 

43  56 

40  35 

37  23 

34  22 

31  31 

60 

a   oo 

66  33 

62  51 

59  12 

55  35 

52  01 

48  33 

45  II 

41  55 

3848 

35  50 

33  00 

a       00 

lO 

66  17 

62  53 

59  27 

56  04 

52  41 

49  24 

46  10 

43  01 

39  59 

^l°i 

34  15 

10 

ao 

65  55 

62  44 

59  32 

56  21 

53  10 

50  01 

4656 

43  54 

40  56 

38  06 

35  19 

ao 

30 

65  27 

62  29 

59  29 

56  28 

53  27 

50  27 

47  30 

44  34 

41  43 

3856 

36  13 

30 

40 

64  55 

62  07 

59  17 

56  26 

53  34 

50  44 

47  55 

45  06 

42  20 

39  37 

3658 

40 

50 

64  19 

61  40 

59  <» 

56  18 

53  35 

50  52 

48  10 

45  28 

42  47 

40  09 

37  34 

60 

3     OO 

63  39 

61  09 

5838 

56  04 

53  29 

50  54 

48  18 

45  41 

43  08 

40  34 

38  02 

3   00 

lO 

62  56 

60  34 

58  10 

55  44 

53  16 

50  48 

48  19 

45  50 

43  20 

40  52 

38  25 

10 

ao 

62  II 

59  56 

57  39 

55  20 

52  59 

50  37 

48  14 

45  49 

43  26 

41  02 

3840 

ao 

30 

61  23 

59  15 

57  05 

54  52 

52  37 

50  21 

48  04 

45  45 

43  27 

41  08 

38  49 

30 

40 

60  33 

58  31 

56  27 

54  20 

52  II 

50  01 

47  49 

45  36 

43  23 

41  08 

38  54 

40 

60 

59  42 

57  46 

55  47 

53  45 

51  42 

49  37 

47  30 

45  22 

43  14 

41  03 

38  53 

60 

4     OO 

58  49 

56  57 

55  04 

53  07 

51  09 

49  09 

47  08 

45  04 

43  00 

40  54 

38  48 

4   00 

lO 

57  55 

5608 

54  19 

52  28 

■  50  34 

48  39 

46  42 

44  42 

42  43 

40  41 

38  39 

10 

ao 

56  59 

55  17 

53  32 

51  45 

49  56 

48  05 

46  13 

44  18 

42  22 

40  25 

38  26 

ao 

30 

56  02 

54  24 

52  43 

51  01 

49  15 

47  29 

45  41 

43  50 

41  58 

40  05 

38  09 

30 

40 

55  03 

53  29 

51  53 

50  14 

48  33 

46  50 

45  06 

43  20 

41  32 

39  42 

37  51 

40 

60 

-54  04 

52  33 

51  01 

49  26 

47  49 

46  10 

44  30 

42  46 

41.  02 

39  16 

37  29 

60 

6     OO 

53  04 

51  36 

50  07 

48  36 

47  ■^2, 

45  27 

43  50 

42  II 

40  30 

38  47 

37  03 

6     00 

lO 

52  02 

50  37 

49  12 

47  44 

46  14 

44  42 

43  08 

41  33 

39  56 

38  17 

36  35 

10 

ao 

51  00 

49  38 

48  16 

46  51 

45  25 

43  55 

42  26 

40  53 

39  19 

37  43 

36  05 

ao 

30 

49  58 

48  38 

47  18 

45  57 

44  33 

43  08 

41  41 

40  II 

38  41 

3708 

35  34 

30 

40 

48  51 

47  36 

46  20 

45  01 

43  40 

42  18 

40  54 

3928 

38  00 

36  31 

34  59 

40 

60 

47  46 

46  34 

45  20 

44  04 

42  46 

41  27 

40  06 

38  42 

37  18 

35  51 

34  23 

50 

6     OO 

46  40 

45  31 

44  19 

43  05 

41  51 

40  34 

39  16 

37  56 

36  34 

35  10 

33  45 

6     00 

lO 

45  33 

44  25 

43  17 

42  07 

40  54 

39  40 

38  25 

37  07 

35  49 

34  28 

33  05 

10 

^O 

44  25 

43  21 

42  15 

41  06 

39  56 

3845 

37  33 

36  18 

35  02 

33  44 

32  25 

20 

30 

43  17 

42  14 

41  ID 

40  04 

3858 

37  49 

36  39 

35  27 

34  14 

3258 

31  41 

30 

40 

42  08 

41  07 

40  05 

39  02 

3758 

36  51 

35  44 

34  35 

33  24 

32  12 

30  57 

40 

60 

40  58 

39  59 

39  00 

37  59 

36  57 

35  53 

34  48 

33  41 

32  33 

31  23 

30  II 

60 

7     OO 

39  47 

3850 

37  54 

36  54 

35  55 

34  54 

33  52 

32  47 

31  41 

30  34 

29  25 

7     00 

le 

38  35 

37  40 

36  46 

35  50 

34  52 

33  53 

32  53 

31  51 

30  48 

29  43 

2837 

10 

ao 

37  22 

36  30 

35  37 

34  44 

33  48 

32  52 

31  54 

30  54 

29  53 

28  51 

2748 

ao 

30 

36  10 

35  19 

34  29 

33  37 

32  44 

31  49 

30  54 

29  57 

2858 

27  58 

26  57 

30 

40 

34  56 

34  08 

33  19 

32  29 

31  38 

30  46 

29  53 

2857 

28  02 

27  04 

26  05 

40 

60 

33  42 

32  56 

32  09 

31  21 

30  32 

29  42 

28  51 

2758 

27  04 

26  10 

25  13 

60 

8     OO 

32  26 

31  42 

30  58 

30  12 

29  24 

2837 

27  48 

36  58 

26  06 

25  14 

24  19 

8     00 

lO 

31  II 

30  28 

29  46 

29  02 

28  17 

27  31 

26  45 

25  56 

25  07 

24  17 

23  25 

10 

ao 

29  54 

29  14 

28  33 

27  52 

27  09 

26  25 

25  40 

24  55 

2408 

23  19 

22  30 

ao 

30 

28  37 

27  59 

27  2a 

26  41 

26  00 

25  17 

24  36 

23  52 

23  07 

22  21 

21  34 

30 

40 

27  20 

26  44 

26  06 

25  28 

24  49 

24  10 

23  30 

22  48 

22  06 

21  22 

20  37 

40 

60 

26  01 

25  27 

24  52 

24  16 

23  40 

23  02 

22  24 

21  44 

21  04 

20  22 

19  40 

50 

9     OO 

24  43 

24  10 

23  37 

23  03 

22  28 

21  52 

21  16 

20  39 

20  01 

19  22 

18  42 

9   00 

lO 

23  24 

22  52 

22  21 

21  49 

21  16 

20  43 

20  09 

19  33 

18  58 

18  21 

17  43 

10 

ao 

22  04 

21  35 

21  05 

20  35 

20  04 

19  33 

19  01 

18  28 

17  54 

17  20 

16  43 

ao 

30 

20  44 

20  16 

19  49 

19  21 

18  51 

18  22 

17  52 

17  21 

16  49 

16  17 

15  44 

30 
40 

40 

19  23 

18  58 

18  32 

18  06 

17  39 

,17  II 

16  43 

16  14 

15  44 

15  14 

14  43 

50 

18  02 

1738 

17  14 

16  50 

16  25 

15  59 

15  33 

15  06 

14  39 

14  II 

13  42 

60 

lo   oo 

16  41 

16  19 

15  57 

15  34 

15  II 

14  48 

14  24 

13  58 

13  33 

13  07 

12  41 

10   00 
10 
ao 
30 

lO 

15  18 

14  58 

14  38 

14  17 

13  56 

13  36 

13  13 

12  50 

12  27 

12  03 

II  39 

ao 

13  56 

13  38 

13  19 

13  01 

12  42 

12  22 

12  02 

II  42 

II  20 

10  59 

10  37 

30 

12  34 

12  17 

12  00 

II  43 

II  26 

II  09 

10  51 

10  32 

10  13 

9  54 

9  34 

40 

II  II 

10  56 

10  41 

10  27 

10  II 

9  55 

9  39 

9  22 

9  06 

849 

8  31 

40 

60 

9  47 

9  34 

9  22 

9  09 

855 

841 

8  27 

8  13 

758 

7  43 

728 

60 

11    oo 

8  23 

8  12 

8  02 

7  51 

7  39 

7  27 

7  16 

7  03 

6  50 

6  38 

624 

11   00 
10  » 
ao 
30 
40 

lO 

7  00 

6  50 

6  41 

633 

6  22 

6  13 

6  03 

5  53 

5  42 

531 

5  20 

ao 

536 

5  29 

5  22 

5  14 

5  07 

4  59 

4  51 

4  42 

4  34 

4  26 

4  17 

30 

4  13 

4  07 

4  02 

3  55 

3  50 

3  44 

338 

3  32 

3  25 

3  19 

3  13 

40 

2  48 

2  45 

2  41 

2  37 

2  33 

2  29 

2  25 

2  21 

2  17 

2  12 

2  09 

60 

I  24 

I  22 

I  20 

I  18 

r  16 

I  14 

I  12 

I  10 

I  08 

I  06 

:  04^ 

60 

13     oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

i 

12   00 

In  Korth  latltnde,  when  the  star  is  risinj?  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  th«  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitmde,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  'from  South  to  East,  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  asimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


237 


AZIMUTH  OR  TRUE  BEARING. 


I^ATITUDE  58°. 

DECI.INATION- 

-SAME  NAME  AS— I^ATITUDE. 

liATlTUDB  58°. 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle'. 

li. 

m. 

o  t 

0  / 

0  / 

0  / 

0  1 

0  t 

0  1 

0  / 

0  r 

0  / 

0  ' 

0  / 

b.    m. 

O 

OO 

i8o  OO 

i8d  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

175  56 

175  51 

175  46 

175  40 

175  35 

175  30 

175  23 

175  17 

175  II 

175  03 

174  55  ' 

174  46 

10 

»o 

171  51 

171  42 

171  33 

171  23 

171  12 

171  00 

170  49 

170  36 

170  22 

170  07 

169  52 

169  35 

20 

SO 

167  50 

167  36 

167  22 

167  07 

166  51 

16635 

166  17 

165  59 

165  39 

165  17 

164  53 

164  28 

30 

40 

163  50 

163  32 

163  14 

162  55 

162  35 

162  13 

161  50 

161  25 

160  59 

160  32 

i6o  01  i 

159  30 

40 

50 

159  55 

159  33 

159  II 

158  48 

158  23 

157  57 

157  29 

156  59 

156  27 

155  54 

155  18 

154  39 

50 

1 

OO 

156  04 

155  39 

155  13 

154  46 

154  17 

153  46 

153  15 

152  41 

152  03 

151  24 

130  43 

150  00 

1    00 

lO 

152  18 

151  50 

151  21 

150  50 

150  i8 

149  43 

149  07 

148  29 

1^7  49 

147  05 

146  19 

145  31 

10 

20 

148  37 

148  07 

147  34 

147  01 

146  25 

145  47 

145  08 

144  26 

143  42 

142  56 

142  07 

141  14 

20 

30 

145  03 

144  29 

143  54 

143  19 

142  40 

142  00 

141  18 

140  33 

139  46 

138  56 

138  03 

13708 

30 

40 

141  34 

140  58 

140  22 

139  43 

139  02 

138  19 

137  35 

136  48 

136  00 

135  07 

134  12 

133  15 

40 

50 

138  II 

137  34 

136  55 

136  15 

135  33 

134  48 

134  02 

133  13 

132  22 

131  28 

130  32 

129  33 

50 

2 

OO 

134  54 

134  15 

133  35 

132  54 

132  09 

131  23 

130  35 

129  46 

128  53 

127  58 

127  01 

126  01 

2     00 

lO 

131  44 

131  04 

130  22 

129  39 

128  54 

128  07 

127  18 

126  27 

125  33 

12438 

123  40 

122  38 

10 

ao 

128  39 

127  57 

127  15 

126  31 

125  45 

124  57 

124  08 

123  17 

122  22 

121  26 

120  2b 

119  27 

20 

30 

125  39 

124  58 

124  14 

123  30 

122  43 

121  55 

121  04 

120  12 

119  18 

118  21 

117  23 

116  22 

SO 

40 

122  46 

122  03 

121  19 

120  34 

119  47 

118  58 

118  08 

117  16 

116  21 

115  25 

114  27 

113  26 

40 

50 

119  57 

119  14 

118  29 

117  44 

116  57 

116  09 

115  18 

114  25 

113  31 

112  36 

III  37 

no  37 

50 

3 

OO 

117  13 

116  29 

115  45 

115  00 

114  13 

113  23 

112  33 

III  41 

no  48 

109  52 

108  54 

107  55 

3     00 

lO 

114  33 

113  50 

113  05 

112  20 

III  33 

no  44 

109  54 

109  03 

108  09 

107  14 

106  17 

105  18 

10 

20 

III  59 

III  15 

no  31 

109  46 

108  58 

108  09 

107  20 

106  29 

105  36 

104  41 

103  46 

102  48 

20 

30 

109  28 

108  44 

108  00 

107  15 

106  28 

105  40 

104  51 

104  00 

103  07 

102  14 

loi  19 

100  23 

30 

40 

107  00 

106  17 

105  33 

104  48 

104  02 

103  14 

102  25 

10 1  36 

100  44 

99  51 

9?  57 

98  01 

40 

SO 

104  36 

103  53 

103  09 

102  25 

loi  38 

100  51 

100  03 

99  14 

98  23 

97  32 

9638 

95  44 

50 

4 

OO 

102  16 

loi  33 

100  49 

100  06 

99  20 

98  33 

97  46 

96  57 

96  07 

95  16 

94  24 

93  31 

4     00 

lO 

99  57 

99  15 

98  32 

97  48 

97  03 

96  18 

95  31 

94  42 

93  54 

93  04 

92  12 

91  19 

10 

20 

97  42 

96  59 

96  17 

95  34 

94  50 

94  05 

93  19 

92  32 

f '  '^l 

90  54 

90  04 

89  12 

20 

30 

95  29 

94  47 

94  05 

93  23 

92  39 

91  54 

91  09 

90  23 

8936 

88  47 

87  58 

87  07 

30 

40 

93  18 

92  37 

91  56 

91  13 

90  31 

89  46 

89  02 

88  16 

87  30 

8643 

85  54 

85  05 

40 

50 

91  09 

90  29 

8948 

89  07 

88  24 

87  41 

86  56 

86  12 

85  26 

84  40 

83  52 

83  05 

50 

5 

OO 

89  01 

88  22 

87  41 

?7  00 

86  19 

8536 

8453 

84  09 

83  24 

82  39 

81  52 

81  05 

5     00 

lO 

8656 

86  16 

8536 

81  56 

84  15 

83  33 

82  51 

82  08 

81  24 

8039 

79  54 

7908 

10 

20 

84  52 

8412 

83  33 

82  54 

82  13 

81  33 

80  51 

80  09 

79  26 

78  42 

77  57 

77  12 

20 

30 

82  48 

82  ID 

81  31 

80  52 

80  13 

79  32 

78  51 

78  10 

77  28 

76  45 

76  02 

75  17 

30 

40 

80  46 

80  oS 

79  30 

78  52 

78  12 

77  33 

76  53 

76  12 

75  31 

74  49 

74  06 

73  23 

40 

50 

78  45 

78  07 

77  30 

76  53 

76  14 

75  36 

74  56 

74  16 

73  36 

72  55 

72  13 

71  31 

50 

6 

OO 

76  43 

76  07 

75  30 

74  54 

74  15 

7338 

72  59 

72  21 

71  41 

71  00 

70  20 

69  39 

6     00 

lO 

74  43 

74  07 

73  31 

72  55 

72  18 

71  41 

71  03 

70  25 

69  46 

69  07 

68  27 

67  47 

10 

20 

72  44 

72  09 

71  33 

70  58 

70  21 

69  45 

69  08 

68  31 

67  52 

67  15 

6635 

6556 

ao 

30 

70'.  ^ 

70  10 

69  35 

69  00 

68  25 

6748 

67  12 

66  36 

6558 

65  22 

64  43 

64  05 

so 

40 

68  44 

68  10 

6736 

67  02 

66  27 

65  52 

65  17 

64  42 

64  05 

63  29 

62  52 

62  15 

40 

50 

6645 

66  12 

65  39 

65  05 

64  30 

63  57 

63  22 

62  47 

62  12 

61  37 

61  00 

60  24 

50 

7 

OO 

64  45 

64  12 

63  40 

63  08 

62  35 

62  01 

61  27 

60  53 

60  19 

59  45 

59  09 

5834 

7    00 

lO 

62  45 

62  13 

61  42 

61  10 

60  38 

60  05 

59  32 

5859 

58  25 

57  51 

57  17 

56  42 

10 

20 

60  46 

60  14 

59  43 

59  13 

58  40 

5808 

57  37 

57  05 

56  31 

55  59 

55  25 

54  52 

20 

30 

58  46 

58  15 

57  45 

57  14 

56  43 

56  12 

55  40 

55  10 

5438 

54  06 

53  34 

53  01 

SO 

40 

56  45 

56  15 

55  46 

55  16 

54  45 

54  16 

53  46 

53  15 

52  44 

52  14 

51  42 

51  10 

40 

50 

54  44 

54  14 

53  46 

53  17 

52  48 

52  19 

51  49 

51  19 

50  50 

50  20 

49  50 

49  19 

50 

8 

OO 

52  41 

52  13 

51  45 

51  17 

50  49 

50  20 

49  52 

49  23 

48  54 

48  25 

47  56 

47  27 

8     00 

lO 

50  39 

50  12 

49  45 

49  18 

48  50 

48  22 

47  55 

47  27 

46  59 

46  32 

46  03 

45  35 

10 

20 

48  36 

48  09 

47  43 

47  17 

46  50 

46  24 

45  57 

45  3° 

45  03 

44  37 

44  09 

43  42 

20 

30 

46  32 

46  05 

45  41 

45  16 

44  50 

44  25 

43  57 

43  32 

43  07 

42  41 

42  15 

41  48 

SO 

40 

44  27 

.44  01 

4338 

43  14 

42  48 

42  25 

42  00 

41  35 

41  09 

40  45 

40  20 

39  55 

40 

50 

•42  22 

41  57 

41  34 

41  11 

40  47 

40  23 

40  00 

39  36 

39  12 

3848 

38  23 

38  00 

50 

9 

OO 

40  14 

39  51 

39  29 

39  06 

38  44 

38  21 

37  59 

37  36 

37  13 

36  50 

36  27 

36  04 

9     00 

lO 

38  07 

37  45 

37  23 

37  02 

36  40 

36  20 

35  57 

35  35 

35  14 

34  53 

34  30 

34  09 

10 

20 

35  59 

35  37 

35  17 

34  57 

34  36 

34  17 

33  56 

33  35 

33  14 

32  54 

32  33 

32  12 

20 

30 

33  49 

33  29 

33  II 

32  51 

32  31 

32  12 

31  53 

31  33 

31  14 

30  55 

30  34 

30  15 

30 

40 

31  39 

31  20 

31  02 

30  44 

30  26 

30  08 

29  49 

29  31 

29  13 

28  55 

28  35 

28  17 

40 

50 

29  27 

29  10 

28  53 

28  36 

28  19 

28  02 

27  45 

27  28 

27  II 

26  54 

26  36 

26  19 

50 

lO 

OO 

27  16 

26  59 

26  44 

26  28 

26  12 

25  56 

25  40 

25  24 

25  08 

24  53 

24  36 

24  20 

10   00 

lO 

25  03 

24  48 

24  33 

24  iS 

24  04 

23  49 

23  34 

23  20 

23  05 

22  50 

22  35 

22  21 

10 

20 

22  50 

22  35 

22  22 

22  09 

21  55 

21  42 

21  28 

21  15 

21  01 

20  48 

20  35 

20  20 

20 

30 

20  34 

20  22 

20  10 

19  57 

19  46 

19  34 

19  22 

19  10 

18  57 

18  45 

18  32 

18  20 

SO 

40 

18  19 

18  08 

17  57 

17  46 

17  35 

17  25 

17  14 

17  03 

16  52 

16  41 

16  30 

16  19 

40 

50 

16  04 

15  53 

15  44 

15  35 

15  25 

15  15 

15  06 

14  56 

14  46 

14  37 

14  27 

14  18 

50 

11 

OO 

13  47 

13  38 

13  31 

13  22 

13  14 

13  05 

12  57 

12  49 

12  41 

12  33 

12  24 

12  16 

11     00 

lO 

11  30 

II  23 

11  16 

II  09 

II  02 

10  55 

10  49 

10  41 

10  35 

10  28 

10  21 

10  14 

10 

20 

9  12 

9  07 

9  02 

8  56 

8  50 

8  45 

8  39 

8  33 

8  29 

8  23 

8  17 

8  n 

20 

30 

6  54 

6  50 

6  46 

6  42 

638 

6  34 

6  30 

6  26 

6  22 

6  18 

6  13 

6  09 

SO 

40 

4  37 

4  34 

4  31 

4  28 

4  25 

4  23 

4  19 

4  17 

4  15 

4  II 

4  09 

4  06 

40 

50 

2  18 

2  17 

2  16 

2  15 

2  13 

2  II 

2  10 

2  09 

2  08 

2  06 

2  04 

2  03 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

1 ^ J 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  .star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


238 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  58°. 


DECLINATION-SAME  NAME  AS— LATITUDE. 


1.ATITIIDE:  58°. 


I  !  I 

Bonr  Angle.        36°        37°        38°    |    39°        40°        41°        42°        43°        44°        45°        46°   [    47°      Hour  Angle. 


b. 

O 


10 


11 


12 


ni. 
oo 

lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 
00 


8o  OO 

74  36 

69  15 

64  01 

5854 

53  57 

49  12 

44  38 

40  18 

36  09 

32  13 

28  30 

24  57 

21  35 
18  23 

15  18 
12  23 

09  35 

06  53 
04  18 
01  48 
99  23 
97  03 
94  47 

92  35 
90  25 
88  18 
86  15 
84  14 
82  15 

80  17 
78  20 
76  25 
74  32 
72  39 

70  48 

6857 
67  06 

65  16 
63  26 
61  37 
59  47 

57  58 
56  07 

54  18 
52  28 
5038 
48  48 

46  56 

45  06 
43  14 

41  21 

39  29 

37  35 

35  41 

33  47 
31  51 

29  56 
27  58 
26  02 

24  04 

22  06 
20  07 
18  08 

16  08 
14  08 

12  08 

10  07 
8  06 
6  04 

4  03 
2  02 
o  00 


180  00 
174  26 
168  56 
163  32 
158  17 
153  12 

148  11 
143  42 
139  18 
135  ok 

131  09 
127  23 

123  49 
120  27 

117  15 


180  00 

174  15 
168  34 
163  00 

157  35 
152  24 

147  26 
142  43 
138  14 
134  00 
130  00 
126  13 

122  39 

119  17 
116  05 


114  II 

113  02 

III  16 

no  08 

108  30 

107  22 

105  49 

104  43 

103  15 

102  10 

100  47 

99  43 

98  23 

97  20 

.96  04 

95  03 

93  49 

92  50 

91  39 

90  40 

8950 

88  33 

87  25 

86  30 

85  22 

84  29 

83  22 

82  29 

81  24 

8033 

79  27 

7837 

77  32 

76  43 

75  39 

74  51 

73  46 

72  59 

71  54 

71  09 

70  04 

69  20 

68  14 

67  31 

66  25 

65  42 

64  36 

63  55 

62  47 

62  06 

6058 

60  19 

59  10 

58  32 

57  22 

56  45 

55  33 

54  57 

53  45 

53  09 

51  56 

51  22 

50  06 

49  33 

48  17 

47  46 

46  27 

45  56 

44  37 

44  07 

42  47 

42  18 

40  55 

40  28 

39  03 

38  37 

37  11 

36  46 

35  17 

34  54 

33  24 

33  02 

31  30 

31  09 

29  36 

29  15 

27  41 

27  22 

25  45 

25  27 

2348 

23  32 

21  51 

21  36 

19  53 

19  40 

17  56 

17  43 

15  57 

15  46 

13  59 

13  49 

12  00 

II  51 

10  01 

9  54 

8  00 

7  55 

6  01 

556 

4  00 

358 

2  00 

I  58 

0  00 

0  00 

180  00 

174  03 

168  09 
162  24 

156  51 
151 31 

146  25 

141  37 
137  04 
132  48 
128  46 
124  58 

121  24 
118  02 
114  50 
III  49 
108  56 
106  II 

103  33 
loi  02 
9836 
96  16 
94  00 
91  48 

89  40 

87  34 

85  32 

83  33 

81  35 

79  39 

77  45 
75  52 
74  02 
72  II 
70  22 
6834 

66  46 

64  59 
63  12 
61  26 
59  39 
57  53 

56  07 
54  21 
52.34 
5048 

49  01 
47  14 

45  25 
43  38 
41  49 
40  00 
38  10 
36  20 

34  29 
32  39 
30  47 
28  55 

27  02 
25  09 

23  15 
21  20 
19  26 
17  31 

15  35 
13  39 

II  43 
9  46 
7  49 
5  52 
3  54 
I  57 
o  00 


iSo  00 

173  49 
167  42 
161  46 
156  01 
150  33 

145  21 
140  26 
135  51 
131  31 
127  28 
123  41 

120  06 
116  44 
113  33 
no  32 
107  41 
104  58 

102  22 
99  52 
97  28 
95  09 
92  55 
90  44 

88  39 
86  34 
84-33 
82  35 
80  39 
7845 

76  52 
75  O' 
73  12 
71  23 
69  35 
67  48 

66  oi 

64  15 
62  31 
60  45 
58  59 
57  14 

55  29 
53  44 
51  59 
50  13 
48  27 
46  41 

44  54 
4308 
41  21 
39  32 

37  45 
35  55 

34  06 
32  16 
30  26 
28  35 
26  43 
24  52 

22  58 
21  05 

19  13 
17  19 
15  24 
13  29 

II  34 
9  39 
7  44 
548 
3  52 
I  56 
o  00 


180  00 

173  33 
167  13 
161  03 
155  07 
149  29 

144  II 
139  II 

134  31 
130  09 
126  05 
122  17 

118  42 
115  21 
112  13 
109  13 
106  23 
103  42 

loi  08 
98  40 

96  18 
94  00 
91  48 
89  40 

87  35 
8533 
83  34 
81  38 

79  43 
77  51 

75  59 
74  09 
72  22 
70  34 
6847 
67  02 

65  16 
63  31 
61  47 
60  03 
58  19 
56  35 

54  51 
53  06 
51  23 
49  39 
47  54 
46  09 

44  23 
42  38 
40  51 
39  05 
37  19 
35  30 

33  42 
31  53 
30  04 
28  15 
26  24 
24  34 

22  42 
20  50 
18  58 
17  05 
15  13 
13  19 

II  26 
9  32 

738 
5  43 
3  49 
I  54 
o  00 


180  00 

173  17 
166  40 
160  16 
154  08 
148  19 

142  53 
137  48 
133  04 
128  40 
124  35 
120  47 

117  13 
113  54 
no  47 
107  49 
105  01 
102  22 

99  50 
97  24 
95  04 
92  49 

90  39 
88  32 

86  29 
84  29 
82  32 

80  37 
7845 
76  53 

75  03 
73  16 
71  29 

69  43 
6758 
66  14 

64  30 
62  46 
61  03 
59  20 
57  38 
55  55 

54  12 
52  29 
50  46 
49  03 
47  19 
45  36 

43  51 
42  08 
40  22 
38  37 
36  51 
35  05 

33  17 
31  30 
29  42 
27  54 
26  04 
24  16 

22  25 
20  35 
1845 
16  53 
15  01 
13  10 

II  17 
9  26 
7  32 
5  40 
3  47 
I  52 
o  00 


180  00 
172  58 
166  02 
159  22 
153  00 
147  03 

141  28 
136  18 

131  31 
127  05 
123  00 
119  12 

115  40 
112  22 
109  17 
106  21 
103  36 
IOC  59 

98  29 
96  06 
93  48 
91  36 
89  28 
87  23 


180  00 
172  35 
165  21 
158  22 
151  46 
145  36 

139  54 
134  39 
129  50 
125  23 
121  17 
117  31 

114  00 
no  45 
107  41 
104  49 


180  00 
172  II 
164  32 

157  14 
150  22 
144  01 

138  II 
132  SI 
127  59 
123  32 
119  28 
115  44 

112  15 
109  02 
106  02 
103  13 


102  07  100  -33 
99  32  I  98  02 


97  05 
94  44 
92  30 
90  19 
88  14 
86  n 


85  22 

84  14 

83  24 

82  17 

81  29 

8023 

79  36 

7833 

77  45 

76  44 

75  56 

74  57 

74  07 

73  10 

72  21 

71  25 

70  36 

69  42 

68  51 

67  59 

67  07 

66  17 

65  25 

64  35 

63  43 

62  55 

62  00 

61  13 

60  19 

59  34 

.5837 

57  53 

56  55 

56  13 

55  14 

54  33 

53  33 

52  53 

51  51 

51  12 

50  10 

49  31 

48  27 

47  51 

46  45 

46  10 

45  03 

44  29 

43  19 

42  47 

41  36 

41  05 

39  53 

39  22 

38  09 

37  40 

36  24 

35  57 

34  39 

34  12 

32  53 

32  28 

31  07 

30  43 

29  20 

2858 

27  33 

27  13 

25  45 

25  26 

23  57 

23  39 

22  09 

21  52 

20  19 

.  20  04 

18  30 

18  17 

16  40 

16  27 

14  50 

14  39 

13  00 

12  49 

II  09 

II  01 

9  18 

9  II 

7  27 

7  21 

5  35 

5  31 

3  44 

3  41 

I  51 

I  50 

0  00 

0  00 

95  38 
93  20 
91  08 
89  01 
8658 
8458 

83  02 
81  08 
79  17 
77  29 
75  42 
73  56 

72  n 
70  28 
68  46 
67  05 
65  25 
63  45 

62  06 

60  26 

5847 
5708 
55  30 
53  51 

52  12 
50  33 
4853 
47  15 
45  35 
43  55 

42  14 
40  34 
38  53 
37  II 
35  29 
33  47 

32  02 
30  20 
28  35 
26  51 
25  06 
23  21 

21  34 
19  49 
18  02 
16  15 
14  27 
12  39 

10  51 
9  03 
7  15 
5  26 
3  37 
I  49 
o  00 


180  00 
171  42 
163  36 
155  56 
148  46 
142  13 

136  16 
130  51 
12558 
121  32 
117  29 
113  47 

no  22 
107  13 
104  16 
loi  31 
98  55 
96  28 

94  07 
91  53 
89  43 
87  39 
8539 
8342 

81  48 

79  57 
78  08 
76  21 
74  37 
72  53 

71  n 
69  30 
6749 
66  09 
64  31 
62  53 

61  15 
59  37 
58  00 
56  22 
54  46 
5308 

51  30 
49  53 
48  15 
46  37 
44  58 
43  20 

41  41 
40  01 
38  21 
36  41 
35  01 
33  19 

31  37 
29  56 
28  12 
26  30 
24  46 
23  02 

21  17 
19  33 
17  47 
16  02 
14  16 
12  30 

10  43 
8  56 
7  09 
5  22 
3  34 
I  48 
o  00 


180  00 
171  07 
162  30 
154  25 
146  57 
140  12 

134  07 
128  39 
123  46 
119  21 
115  22 
III  44 

108  23 
105  18 
102  26 
99  45 
97  13 
94  50 

92  33 
90  21 
88  17 
86  15 
84  18 
82  24 


80  32 

78  44 

7658 

75  14 

73  31 

71  49 

70  09 

68  30 

6652 

65  14 

6336 

62  00 

60  24 
58  47 
57  12 
55  36 
54  00 
52  24 

50  48 
49  12 
47  36 
45  58 
44  22 
42  45 

41  07 
39  28 
37  50 
36  II 
34  32 
32  52 

31  II 

20  30 
27  50 
26  08 
24  26 
22  42 

21  00 
19  16 
17  33 
15  49 
14  03 
12  19 

10  34 
8  48 
7  03 
5  17 
3  32 
I  46 
o  00 


li. 
O 


11 


12 


ui. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


239 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  58° 


DECLINATION— SAME  NAME  AS— LATITUDE. 


LATITUDE  58°. 


HourAniTle.        48° 


li. 

O 


lO 


11 


12 


in. 
OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 
OO 


i8o  cx) 

170  26 
161  13 
152  39 
144  51 
137  53 

131  43 
126  13 
121  21 
116  59 
113  04 
109  31 

106  16 
103  16 
100  29 
97  52 
95  26 
93  06 

90  54 
88  47 
8645 
84  48 
82  54 
81  02 

79  15 
77  28 
75  45 
74  04 
72  23 
70  43 

69  05 
67  29 
65  52 
64  16 
62  41 
61  06 

59  31 
57  57 
56  23 
54  48 
53  14 
51  40 

50  05 
48  31 
46  55 
45  21 
43  45 
42  09 

40  32 
3856 
37  19 
35  41 
34  03 
32  25 

30  45 
29  06 
27  26 
25  46 
24  05 
22  24 

20  42 
19  00 

17  18 

15  35 
13  52 
12  09 

10  26 
8  41 
6  58 
5  13 
3  29 
I  45 
o  00 


49° 


180  00 
169  36 
159  40 
150  34 
142  24 

135  14 

128  59 
123  31 
118  43 
114  26 
no  37 
107  10 

104  00 
loi  07 

98  26 

95  57 
93  34 
91  19 

89  12 
87  09 
85  12 
83  17 
81  27 

79  39 

77  54 
76  12 

74  31 
72  51 
71  13 
69  37 

68  00 
6625 
64  51 
63  17 
61  43 
60  II 

5838 
57  05 
55  33 
54  00 
52  28 
50  55. 

49  22 
47  48 
46  15 
44  41 
43  07 
41  33 

39  57 
38  22 
36  47 
35  10 
33  34 
31  56 

30  19 
28  41 
27  03 
25  24 
23  44 

22  04 

20  25 
18  44 
17  03 
15  22 
13  40 
II  58 

10    16 

8  34 
651 
5  09 
3  26 
I  43 
o  00 


50° 


51° 


180  00 

16S  34 
157  46 
148  03 
139  32 
132  13 

125  56 
120  31 
115  49 
III  39 
107  58 
104  39 

loi  37 
98  51 
96  17 
93  52 
91  37 
89  28 

87  25 
8527 
8333 
81  44 

79  57 
78  13 

76  31- 
74  51 
73  13 
71  37 
70  01 
68  28 

6654 
65  21 
63  49 
62  16 
60  45 
59  14 

57  43 
56  12 

54  41 
53  II 
51  39 
50  09 

48  37 
47  05 
45  33 
44  01 
42  28 
40  55 

39  21 
3748 
36  14 
34  39 
33  04 
31  28 

29  52 
28  16 
2638 
25  01 
23  23 
21  45 

20  06 

18  27 
16  47 
15  08 
13  28 
II  48 

ID  07 

8  26 
6  45 
5  04 
3  23 
I  41 
o  00 


180  00 

167  15 
155  25 
145  00 
136  09 
128  44 

122  29 
117  II 
112  37 
108  38 
105  07 

lOI  58 

99  05 
96  28 
94  02 

91  43 
8935 
87  32 

85  34 
83  41 
81  52 
80  07 
78  25 
76  45 

75  06 
73  30 
71  55 
70  21 
68  48 
67  17 

65  45 
64  15 
62  45 
61  15 
59  46 
58  17 

56  48 
55  19 
53  50 
52  21 
50  51 
49  21 

47  52 
46  21 
44  52 
43  20 
41  50 
40  18 

•38  45 
37  14 
35  41 
34  08 
32  33 
31  00 

29  25 

27  49 
26  14 

24  39 
23  02 
21  25 

19  48 
18  10 
16  32 
14  54 
13  16 
II  37 

9  58 
8  19 

6  39 
5  00 
3  20 
I  40 
o  00 


52° 


180  00 

165  31 
152  23 
141  14 
132  06 
124  40 

118  34 
113  28 
109  08 
105  22 
102  03 
99  06 

96  24 
93  56 
91  38 
89  29 
87  26 
8530 

8339 
81  52 
80  08 
78  27 
7648 
75  13 

73  38 
72  05 
70  33 
69  03 

67  33 
66  05 

64  36 
63  07 
61  40 
60  12 
5845 
57  19 

55  51 
54  24 
52  57 
51  30 
50  02 
4833 

47  05 
45  37 
44  08 
42  39 
41  10 
39  40 

3809 
36  39 
35  07 
33  36 
32  03 
30  31 

28  57 
27  24 
25  50 
24  15 
22  40 
21  05 

19  30 
17  53 
16  17 
14  40 

13  03 
n  26 

9  48 
8  10 
6  32 
4  55 
3  17 
I  38 
o  00 


53° 


180  00 
163  09 

148  23 
136  30 
127  04 

119  57 

114  08 
109  21 
105  19 
loi  51 
9847 
96  03 

93  34 
91  17 
89  09 
87  08 

85  14 

53  25 

81  40 

79  59 

78  21 

7645 
75  II 
73  38 

72  08 
7038 
69  10 
67  43 
66  16 
64  50 

63  24 
61  59 
60  34 
59  08 

57  43 
56  18 

54  53 
53  28 
52  03 
50  37 
49  II 
47  45 

46  19 
44  52 
43  24 
41  58 
40  30 
39  02 

37  32 
36  03 
34  33 
33  03 
31  32 
30  01 

28  30 
26  57 
25  24 
23  52 
22  18 
20  45 

19  II 
17  36 
16  02 
14  27 
12  51 
II  15 

9  39 
8  03 
6  26 
4  50 
3  14 
I  37 
o  00 


54° 


55° 


180  00 

159  41 
142  57 
130  29 
121  21 
114  28 

109  08 
104  47 
loi  10 
98  03 
95  18 
92  49 

90  35 
88  29 
8632 
84  41 
82  56 
81  14 

79  36 
78  01 
76  28 
74  58 
73  28 
72  CO 

70  34 
69  09 

67  45 
66  20 
64  57 
63  33 

62  10 

60  47 
59  24 
58  02 
56  39 
55  17 

53  53 
52  30 
51  07 
49  43 
48  19 

46  55 

45  30 
44  05 
42  40 

41  14 
39  48 
38  21 

36  54 
35  27 
33  57 
32  30 
31  00 
29  30 

28  01 
26  30 
24  59 
23  28 
21  56 
20  24 

18  51 
17  18 
15  46 
14  12 
12  38 
II  04 

9  29 
7  55 
6  20 

4  45 
3  10 
I  35 
o  00 


180  00 

154  14 
135  17 

122  45 

114  18 

108  12 

103  33 
99  48 
96  41 
94  00 

91  35 
89  26 

87  26 
8534 
83  49 
82  09 
80  32 
7859 

77  29 
75  59 
74  33 
73  08 
71  44 
70  21 

6859 
67  37 
66  16 
64  56 
63  35 
62  15 

60  55 
59  35 
58  15 
56  55 
55  34 
54  14 

52  53 
51  32 
50  II 
48  49 
47  27 
46  05 

44  42 
43  18 
41  55 
40  31 
39  06 
37  41 

36  15 
34  49 
33  23 
31  56 
30  29 
29  01 

27  33 
26  03 
24  34 
23  04 
21  33 
20  03 

1833 
17  01 
15  29 
13  58 
12  25 
10  52 

9  19 
7  47 
6  13 
4  41 
3  07 
I  34 
o  00 


56° 


180  00 
144  42 
124  n 
112  55 
105  55 
loi  04 

97  23 
94  25 
91  53 
89  41 
87  41 
85  52 

84  09 
82  32 
80  59 

79  30 
78  04 
76  39 

75  15 
73  54 
72  34 
71  14 
6956 
68  38 

67  21 

66  03 
64  46 
63  29 
62  II 
60  54 

59  37 
58  21 
57  03 
55  45 
54  27 
53  09 

51  50 
50  31 
49  13 
47  53 
46  33 
45  12 

43  52 
42  30 
41  08 
39  46 
38  23 
37  00 

35  36 
34  II 
32  46 
31  21 

29  55 
28  29 

27  03 
25  35 
24  07 
22  39 
21  II 
19  42 

18  13 
16  43 
15  12 
13  42 
12  II 
10  41 

9  09 
738 
6  07 
4  35 
3  04 
1  32 
o  00 


57°" 


180  CO 

125  36 

108  17 


58° 


100 

45  1 

96 

18 

93  09 

90  42 

88 

37 

86 

49 

>*5  09 

8336 

82  08 

80 

44 

79 

22 

78 

04 

76 

45 

75  29  1 

74 

14 

73 

00 

71 

45 

70  32  1 

69 

18 

68 

05 

66 

52 

65 

39 

64 

26 

63 

13 

62 

00 

60 

46 

59  32  1 

58 

18 

57 

04 

55  50 

54  35 

53 

'9 

52  03 

50  47 

49  30 

48 

14 

46  56  1 

45 

38 

44 

20 

43 

01 

41 

41 

40 

21 

39 

00 

37  40  1 

36 

18 

34 

56 

33 

34 

32 

10 

30  47  1 

29 

22 

2758  ] 

26 

32 

25  07 

23  41 

22 

15 

20 

4« 

19 

20 

17  53 

16 

25 

14 

56 

13  27 

II 

59 

10 

30 

8 

59 

731 

6 

00 

4  31 

3 

01 

I 

30 

0 

00 

88  56 

87  53 
86  49 

85  45 
84  42 

8338 
82  34 
81  30 
80  25 
79  21 
78  17 

77  12 
76  07 
75  02 
73  56 
72  51 
71  47 

70  39 
69  32 
68  25 
67  18 
66  II 
65  03 

6356 
62  46 
61  37 
60  28 
59  18 
58  08 

56  57 
55  46 
54  34 
53  22 
52  09 
50  56 


58° 


Hour  Ansle. 


49  42 

48  28 
47  13 
45  58 
44  42 
43  25 

42  09 
40  51 
39  33 
38  14 
36  55 
35  35 

34  15 
32  54 
31  33 
30  II 
28  48 
27  26 

26  02 

24  38 
23  14 
21  49 
20  24' 
18  58 

17  32 
16  06 

14  39 
13  12 

II  45 
10  17 

8  49 
7  22 

5  53 
4  25 
2  57 
I  28 
o  00 


o  00 

51  31 
6656 

72  30 

74  56 
76  00 

76  22 
76  19 
76  02 

75  34 
75  00 
74  19 

73  34 
72  46 
71  51 
71  02 
70  07 
69  II 

68  14 

67  16 

66  16 

65  15 

64  14 

63  12 

62  08 
61  03 
59  59 
5854 
5748 
56  41 

55  33 
54  24 
53  17 

52  08 
50  57 
49  47 

4836 
47  23 
46  II 
44  58 
43  44 
42  30 

41  15 
39  59 
3843 
37  27 
36  09 
34  51 

33  33 
32  13 
30  54 
29  35 
28  13 
26  53 

25  30 
24  09 
22  46 
21  22 
19  59 
18  35 

17  II 

15  47 
14  21 

12  57 
II  31 
10  05 

8  40 
7  13 
5  47 
4  20 

2  53 
I  27 
o  00 


li. 

O 


10 


11 


12 


in. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  risinjior  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;-and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  tp.^st;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


240 


AZIMUTH  OR  TRUE   BEARING. 


I.ATITKBE  58°. 

DECLINATION— same;  NAME  AS— 

LATITUDE. 

! 

I^ATITIJDE  58°.  ' 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

h. 

in. 

o  / 

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In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  .star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  .South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


241 


AZIMUTH    OR    TRUE    BEARING. 


1  liATlTUDE  5 

9°. 

DECLINATION- 

SAME  NAME  AS— LATITUDE. 

liATITUDE  59°. 

Hour  An 

gle. 

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Hour  Angle. 

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54  56 

54  27 

53  57 

53  28 

52  58 

52  27 

51  57 

51  26 

40 

SO 

54  49 

54  22 

53  53 

53  25 

52  57 

52  29 

52  00 

51  31 

51  02 

50  32 

50  02 

49  33 

SO 

M 

OO 

52  46 

52  20 

51  52 

51  24 

50  57 

50  29 

50  01 

49  33 

49  05 

4f  36 

48  08 

47  39 

8     00 

lO 

50  43 
48  38 

50  17 

49  50 

49  24 

4858 

48  30 

48  03 

47  36 

47  09 

46  41 

46  14 

45  46 

10 

20 

48  13 

47  47 

47  22 

4656 

46  30 

46  04 

4538 

45  12 

44  45 

44  19 

43  52 

20 

30 

46  34 

46  10 

45  44 

45  20 

44  55 

44  30 

44  05 

43  40 

43  15 

42-48 

42  23 

41  58 

30 

40 

44  28 

44  05 

43  41 

43  17 

42  53 

42  28 

42  05 

41  41 

41  17 

40  51 

40  27 

40  03 

40 

SO 

42  22 

41  59 

41  36 

41  13 

40  50 

40  27 

40  04 

39  41 

39  18 

3855 

3831 

3807 

SO 

9 

OO 

40  18 

39  52 

39  31 

39  09 

38  47 

38  25 

38  02 

37  41 

37  18 

36  55 

36  33 

36  n 

9     00 

lO 

38  06 

37  46 

37  24 

37  03 

36  43 

36  22 

36  00 

35  40 

35  19 

34  57 

34  36 

34  15 

10 

20 

3558 

35  38 

35  18 

34  58 

3438 

34  19 

3358 

3338 

33  19 

3258 

3238 

32  i8 

20 

30 

3348 

33  29 

33  10 

32  51 

32  33 

32  14 

31  55 

31  36 

31  17 

30  57 

30  39 

30  20 

30 

40 

31  37 

31  19 

31  01 

30  44 

30  26 

30  08 

29  51 

29  33 

29  16 

2857 

28  40 

28  21 

40 

SO 

29  25 

29  09. 

28  52 

2836 

28  20 

28  03 

27  47 

27  30 

27  13 

2656 

26  39 

26  23 

50 

lO 

OO 

27  13 

26  5S 

26  43 

26  27 

26  12 

25  56 

25  42 

25  25 

25  10 

24  55 

24  39 

24  23 

10     00 

lO 

25  00 

24  46 

24  32 

24  18 

24  03 

23  49 

23  35 

23  21 

23  07 

22  52 

22  38 

22  23 

10 

20 

22  47 

22  33 

22  21 

22  08 

21  55 

21  42 

21  28 

21  15 

21  02 

20  49 

20  36 

20  23 

20 

30 

20  33 

20  20 

20  09 

19  57 

19  46 

19  34 

19  22 

19  10 

18  57 

18  46 

18  34 

18  22 

30 

40 

18  17 

18  07 

17  56 

17  45 

17  35 

17  24 

17  14 

17  03 

16  53 

16  "42 

16  31 

16  21 

40 

50 

16  01 

15  52 

15  43 

15  33 

15  25 

15  15 

15  06 

14  57 

14  47 

14  37 

14  28 

14  19 

SO 

11 

OO 

13  45 

13  37 

13  29 

13  21 

13  13 

13  05 

12  57 

12  49 

12  41 

12  33 

12  25 

12  17 

11'    00 

10 

II  28 

II  22 

n  15 

II  08 

II  02 

10  54 

10  48 

10  42 

10  35 

10  28 

10  21 

10  15 

10 

20 

9  12 

9  06 

9  01 

855 

8  50 

8  44 

8  39 

8  34 

8  28 

823 

8  18 

8  13 

20 

30 

653 

6  50 

6  46 

6  42 

638 

633 

6  29 

625 

6  21 

617 

6  13 

6  10 

30 

40 

4  36 

4  33 

4  31 

428 

4  25 

4  22 

4  20 

4  17 

4  14 

4  12 

4  09 

4  07 

40 

SO 

2  18 

2  17 

2  15 

2  14 

2  13 

2  11 

2  10 

2  09 

2  07 

2  06 

2  05 

2  03 

SO 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  \a  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


41224°— 16- 


-16 


242 


AZIMUTH  OR  TRUE  BEARING. 


liAXITUDE  5»°. 


DECLINATION— SAME  NAME  AS— LATITUDE. 


LATITUDE  .51»°. 


Hour  Angle  • 


h. 

O 


lO 


11 


12 


nil 

OO 
10 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
SO 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

00 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
ID 
20 
30 
40 
50 
00 


36° 

o 

/ 

i8o 

00 

174  50 

i6q 

42 

164 

40 

159  43 

154  55 

150 

19 

145  51 

141 

36 

137  30 

133  37 

129  54 

126 

22 

122 

59 

"9  45 

i;6 

40 

"3  43 

no 

54 

108 

10 

105  32 

103 

00 

100 

33 

98 

10 

95  51 

93 

36 

91 

24 

89 

15 

«7 

09 

«5 

04 

H3 

03 

81 

02 

79  04 

77  07 

75 

It 

73 

16 

71 

23 

69 

30 

6736I 

65 

45 

63 

.54 

62 

02 

60 

II 

58 

20 

56 

28 

54  37 

52  46 

50  55 

49  03 

47 

10 

45 

18 

43 

25 

41 

32 

39 

38 

37  43 

'  3548 

1  33  53 

31 

57 

30 

00 

28 

03 

26  06 

24 

07 

22 

09 

20 

10 

18 

II 

16 

II 

14 

10 

12 

10 

10 

08 

8 

07 

6 

05 

4  03 

2 

02 

0 

00 

37° 


180  00 
174  40 
169  24 
164  13 
159  09 
154  15 

149  31 
144  59 
140  40 
136  32 
132  36- 
128  52 

125  19 
121  55 
118  42 

115  37 
112  40 
109  51 

107  08 
104  31 
102  00 
99  33 
97  12 
94  54 

92  40 
90  29 
88  22 
86  17 
84  14 
82  13 

80  14 
78  17 
76  20 
74  26 
72  32 
70  39 

68  47 
6655 
65  05 
63  14 
61  23 

59  34 

57  44 
55  54 
54  03 
52  13 
50  23 
48  32 

46  40 
44  50 
42  58 
41  05 
39  12 
37  19 

35  25 
33  31 
31  36 
29  41 
27  44 
25  48 

23  51 
21  53 
19  56 
17  58 
16  00 
14  00 

12  01 
10  01 
8  02 
6  01 
4  01 
2  00 
o  00 


38° 


180  00 

174  31 
169  05 
163  45 
158  32 
153  31 

148  41 
144  05 
139  41 
135  30 
131  32 
127  47 

124  12 
120  49 

117  36 
114  31 
III  34 

105  46 

106  04 
103  28 
100  59 

98  34 
96  13 

93  56 
91  44 

89  34 
87  28 
85  22 
83  23 
81  23 

79  25 
77  29 
75  34 
73  40 
71  47 
69  56 

68  05 
66  14 
64  25 
62  34 
60  46 
5857 

57  08 
55  18 
53  29 
51  40 
49  51 
48  01 

46  10 
44  21 
42  30 
4b  38 
3847 
36  55 

35  02 
33  09 
31  15 
29  21 
27  26 
25  31 

23  36 
21  39 

19  43 
17  46 

15  49 
13  51 

II  52 
9  55 
7  56 
5  57 
358 
I  59 
o  00 


3»° 


180  00 
174  20 
168  43 
163  13 
157  53 
152  44 

147  48 
143  05 
13838 
134  25 
130  24 
126  38 

123  03 
119  40 
116  26 
113  22 
no  27* 
107  39 

104  58 
102  24 
99  55 
97  32 
95  12 
92  57 

9046 
8838 
8633 
84  30 
82  30 
80  31 

7835 
76  39 
74  47 
72  54 
71  02 
69  12 

67  22 
'"'5  32 
63  44 
61  55 
60  07 
58  19 

56  31 

54  43 
52  55 
51  07 

49  18 
47  31 

45  41 
43  52 
42  02 
40  12 
38  21 
36  31 

3438 
32  47 
30  54 
29  02 
27  08 
25  14 

23  19 
21  24 
19  30 
17  34 
15  37 
13  41 

II  45 
948 
7  51 
5  53 
356 
I  58 
o  00 


40° 

41° 

42° 

43° 

44° 

0  / 

0  / 

0  / 

0  / 

0  / 

180  00 

180  00 

180  00 

180  00 

180  00 

174  08 

173  55 

173  39 

173  23 

173  05 

168  19 

167  54 

167  25 

166  52 

166  15 

162  38 

162  01 

161  19 

160  33 

159  41 

157  08 

156  20 

155  28 

154  29 

153  24 

-151  51 

150  55 

149  53 

148  44 

147  30 

146  49 

145  45 

144  36 

143  20 

141  57 

142  02 

140  52 

139  38 

138  17 

136  47 

137  31 

136  17 

134  59 

133  33 

132  02 

133  14 

131  58 

130  37 

129  10 

127  36 

129  12 

127  54 

126  33 

125  04 

123  28 

125  24 

124  05 

122  43 

121  15 

119  40 

121  49 

120  29 

119  07 

117  39 

116  06 

118  25 

117  07 

115  45 

114  18 

112  47 

115  12 

113  55 

112  35 

III  09 

109  40 

112  09 

no  53 

109  34 

108  10 

106  42 

109  15 

108  00 

106  42 

105  21 

103  55 

106  29 

105  15 

103  59 

102  40 

lOI  16 

103  50 

102  37 

loi  24 

TOO  06 

9845 

loi  17 

100  05 

9853 

9738 

96  20 

98  49 

97  40 

96  29 

95  16 

94  01 

96  27 

95  20 

94  11 

93  00 

91  46 

94  09 

93  04 

91  57 

90  45 

8936 

91  55 

90  52 

89  47 

88  40 

8730 

89  47 

88  44 

87  41 

86  36 

85  28 

87  39 

86  38 

85  37 

84  33 

83  28 

8536 

84  36 

8336 

82  35 

81  31 

8335 

82  37 

81  39 

80  39 

79  37 

81  35 

8039 

79  43 

7845 

77  45 

79  38 

78  44 

77  49 

76  52 

75  55 

77  44 

76  50 

75  56 

75  02 

74  05 

75  49 

7458 

74  06 

73  12 

72  18 

73  57 

73  06 

72  16 

71  24 

70  31 

72  06 

71  16 

70  27 

69  37 

68  46 

70  16 

69  27 

68  40 

67  51 

67  00 

68  27 

67  40 

6654 

66  06 

65  17 

6638 

65  53 

65  07 

64  21 

63  34 

64  49 

64  06 

63  21 

62  36 

61  51 

63  03 

62  19 

61  36 

60  53 

60  09 

61  15 

60  33 

59  52 

59  10 

58  26 

59  27 

58  47 

58  07 

57  26 

56  44 

57  41 

57  06 

56  23 

55  43 

55  02 

55  54 

55  16 

54  39 

54  00 

■53  20 

54  07 

53  30 

52  53 

52  16 

51  37 

52  20 

51  44 

51  09 

50  33 

49  56 

50  33 

4958 

49  25 

48  49 

48  14 

48  46 

48  13 

47  39 

47  05 

46  32 

46  59 

46  27 

45  55 

45  22 

44  49 

45  11 

44  39 

44  08 

43  36 

43  05 

43  22 

42  52 

42  23 

41  53 

41  22 

41  34 

41  05 

40  37 

40  08 

39  39 

39  46 

39  18 

3850 

38  22 

37  54 

37  56 

37  29 

37  03 

3636 

36  10 

3606 

35  41 

35  15 

34  51 

34  25 

34  16 

33  51 

3328 

33  04 

32  39 

32  25 

32  01 

31  40 

31  17 

30  54 

30  34 

30  12 

29  51 

29  29 

29  08 

28  42 

28  21 

28  02 

27  42 

27  20 

26  49 

26  30 

26  II 

25  52 

25  34 

24  57 

24  39 

24  22 

24  04 

23  46 

1 

23  04 

22  47 

22  31 

22  15 

21  58 

21  10 

20  54 

20  40 

20  25 

20  09 

19  17 

19  02 

18  49 

18  35 

18  22 

17  22 

17  09 

16  57 

16  45 

16  32 

15  27 

15  15 

15  05 

14  54 

14  43 

13  31 

13  22 

13  12 

13  03 

12  53 

II  36 

II  28 

II  20 

II  II 

11  03 

9  41 

9  34 

9  26 

9  20 

9  13 

7  45 

7  39 

7  34 

7  29 

7  22 

5  49 

5  45 

5  40 

536 

5  32 

3  52 

3  50 

3  47 

3  44 

3  41 

I  56 

1  55 

1  53 

I  52 

I  51 

0  00 

1 

0  00 

0  00 

0  00 

0  00 

45° 


180  00 
172  43 
165  36 
158  42 
152  II 
146  05 

140  25 

135  10 
130  21 

125  54 
121  47 
118  00 

114  27 
III  09 
108  05 
105  10 
102  25 
99  50 

97  21 
94  58 
92  41 
90  29 
88  22 
86  18 

84  19 
82  21 
80  26 
78  34 
76  43 
74  55 

73  07 
71  21 

69  37 
67  52 
66  09 
64  27 

62  45 
61  04 
59  23 
57  42 
56  01 
54  21 

52  40 
50  59 
49  18 
47  37 
45  56 
44  15 

42  33 
40  51 
39  09 
37  26 
35  42 
33  59 

32  14 
30  30 
28  45 
27  00 
25  14 
23  28 

21  41 
19  54 
18  07 
16  19 
14  31 
12  43 

10  55 
9  06 
7  16 
528 
3  39 
I  50 
o  00 


46° 


180  00 
172  18 
164  47 

157  35 
150  48 

144  31 

138  43 
133  23 
128  31 
124  03 
119  58 
116  II 

112  41 
109  27 
106  24 
103  33 
100  52 
98  19 

95  53 
93  33 
91  20 
89  10 
87  06 
85  04 

83  06 
81  II 
79  19 
77  28 
75  40 
73  53 

72  07 
70  24 
68  41 
66  59 
65  16 
6336 

61  55 
60  16 

5836 
56  57 
55  17 
53  38 

51  59 
50  19 
%8  40 
47  00 
45  20 
43  40 

42  00 
40  19 
3838 
36  56 
35  15 
33  32 

31  49 
30  06 
28  22 
26  39 
24  54 
23  09 

21  24 
19  38 
17  53 
16  06 
14  20 
12  33 

ID  46 
859 

7  II 
5  24 
3  36 


47° 


Hour  Angle. 


180  00 
171  50 
163  53 
156  18 

149  15 
142  44 

136  48' 
131  24 
126  30 
122  02 
117  58 
"4  15 

no  48 
107  37 
104  39 
loi  51 
99  12 
9^  44 


92  04 
89  53 
87  48 
8546 
8347 

81  53 
79  59 
78  09 
76  21 

74  35 
72  51 

71  07 
69  25 
67  44 
66  03 
64  23 
62  44 

61  05 
59  27 
57  50 
5^  II 
54  33 
52  55 

51  17 
49  39 
48  01 
46  23 

44' 45 
43  06 

41  27 
39  48 
3808 
36  27 
34  47 
33  05 

31  24 
29  42 
28  00 
26  17 

24  34 
22  51 

21  07 
19  23 
17  38 
15  54 
14  08 
12  23 

10  38 
851 
7  05 
5  19 
3  33 
I  46 
o  00 


ll. 

O 


10 


11 


12 


ni. 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  Tforth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


243 


AZIMUTH  OR  TRUE  BEARING. 


L-ATITUDE  5 

»°. 

DECLINATION- 

-SAME  NAME  AS-I^TITUDE. 

LATITUDE  59°. 

Honr  Angle. 

48° 

4»° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hoar  Angle. 

b. 

in. 

o  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

b.    m. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

171  16 

170  37 

169  48 

168  48 

167  31 

165  50 

163  31 

160  09 

154  49 

145  24 

126  21 

■'ss'^' 

10 

20 

162  39 

161  M 

160  02 

158  12 

155  53 

152  54 

149  00 

143  38 

136  01 

124  55 

108  48 

8751 

20 

30 

154  50 

153  06 

151  03 

148  36 

145  36 

141  53 

137  12 

131  12 

123  28 

113  30 

loi  06 

8647 

30 

40 

147  28 

'45  23 

142  59 

140  09 

13648 

132  46 

127  54 

122  01 

114  54 

106  23 

96  32 

fs^s 

40 

50 

140  45 

138  28 

135  51 

132  52 

129  23 

125  19 

120  36 

115  05 

108  42 

loi  26 

93  20 

8438 

50 

1 

OO 

134  41 

132  18 

129  56 

126  34 

123  07 

119  II 

114  43 

109  39 

103  59 

97  41 

90  50 

83  34 

1     00 

lO 

129  14 

126  48 

124  06 

121  07 

117  45 

114  01 

109  52 

105  14 

100  10 

94  39 

8843 

82  29 

10 

20 

124  19 

121  55 

119  15 

116  20 

113  09 

109  37 

105  47 

10 1  33 

96  59 

92  05 

86  52 

81  24 

20 

30 

119  53 

117  31 

"4  57 

112  09 

109  07 

105  52 

102  14 

98  22 

94  14 

8949 

85  10 

80  19 

30 

40 

"5  52 

113  33 

III  05 

loS  26 

105  34 

102  27 

9908 

95  35 

91  48 

87  48 

8336 

79  14 

40 

50 

112  II 

109  59 

107  36 

105  04 

102  22 

99  27 

96  21 

93  05 

8936 

8557 

82  07 

7809 

50 

2 

OO 

108  48 

106  40 

104  24 

102  00 

99  26 

9643 

93  50 

90  47 

87  34 

84  12 

80  42 

77  04 

2    00 

lO 

105  41 

103  39 

101  29 

99  II 

9648 

94  12 

91  30 

^  41 

85  40 

.82  34 

79  20 

75  58 

10 

20 

102  47 

100  49 

98  46 

96  35 

94  18 

91  52 

89  19 

86  40 

8353 

81  00 

77  59 

74  53 

20 

30 

100  04 

98  11 

96  12 

94  10 

91  58 

8941 

87  17 

8447 

82  11 

79  29 

76  40 

73  46 

30 

40 

97  30 

95  42 

93  49 

91  50 

8946 

8736 

85  21 

83  00 

80  33 

78  01 

75  23 

72  40 

40 

50 

95  05 

93  20 

91  32 

8939 

87  42 

8538 

8330 

81  17 

7858 

76  35 

74  07 

71  34 

50 

3 

OO 

92  46 

91  06 

89  23 

87  35 

8542 

8345 

81  44 

7938 
78  01 

77  27 

75  12 

72  52 

70  27 

3     00 

lO 

90  33 

8857 

87  18 

85  35 

83  48 

81  56 

80  01 

75  57 

73  49 

71  36 

69  20 

10 

20 

88  26 

8653 

85  18 

83  40 

81  58 

80  II 

78  21 

76  27 

74  30 

72  27 

70  22 

68  13 

20 

30 

86  23 

8454 

83  23 

81  48 

80  II 

7829 

76  44 

74  55 

73  04 

71  07 

69  08 

67  05 

30 

40 

84  24 

82  59 

81  31 

80  00 

78  26 

76  49 

75  09 

73  25 

71  39 

6948 

67  54 

65  57 

40 

50 

82  28 

81  06 

79  42 

78  15 

76  45 

75  12 

73  36 

71  57 

70  14 

68  29 

66  41 

64  49 

50 

4 

OO 

8036 

79  17 

7756 

76  32 

75  06 

73  36 

72  04 

70  29 

68  51 

67  10 

65  26 

63  40 

4    00 

lO 

78  45 

77  30 

76  II 

74  51 

73  27 

72  01 

70  33 

6903 

67  28 

65  52 

64  13 

62  31 

10 

20 

76  58 

75  45 

74  29 

73  II 

71  51 

70  28 

69  04 

67  37 

66  07 

64  35 

62  59 

61  22 

20 

30 

75  13 

74  02 

72  49 

71  34 

70  17 

6857 

6736 

66  12 

64  46 

63  16 

61  46 

60  12 

30 

40 

73  29 

72  19 

71  09 

69  57 

6843 

67  27 

66  08 

6448 

63  25 

62  00 

60  32 

59  02 

40 

50 

71  46 

7040 

69  32 

68  22 

67  11 

6556 

64  41 

63  24 

62  04 

60  42 

59  17 

57  51 

50 

5 

OO 

70  05 

69  00 

67  55 

6647 

65  39 

64  27 

63  15 

61  59 

60  43 

59  23 

5803 

56  40 

5     00 

lO 

68  24 

67  22 

66  19 

65  13 

64  07 

62  58 

61  49 

60  36 

59  22 

58  06 

56  49 

55  28 

10 

20 

6645 

65  44 

64  44 

63  41 

62  36 

61  30 

60  23 

59  13 

58  02 

56  49 

55  33 

54  16 

20 

30 

6506 

64  08 

63  09 

62  08 

61  06 

60  01 

5857 

57  50 

56  41 

55  30 

54  18 

53  04 

30 

40 

63  28 

62  31 

61  34 

60  36 

59  36 

58  34 

57  31 

56  27 

55  21 

54  12 

53  03 

51  51 

40 

50 

61  51 

6057 

60  01 

59  04 

5807 

57  P7 

56  06 

55  03 

54  00 

52  54 

51  47 

5038 

50 

6 

OO 

60  14 

59  21 

58  28 

57  32 

5636 

55  39 

54  40 

5340 

5238 

51  35 

50  30 

49  24 

6    00 

lO 

5837 

57  46 

56  54 

56  00 

55  06 

54  II 

53  15 

52  16 

51  17 

50  15 

49  13 

48  09 

10 

20 

57  01 

56  11 

55  21 

54  30 

5338 

52  44 

51  49 

50  52 

49  55 

48  57 

47  57 

46  55 

20 

30 

55  25 

54  37 

5348 

5258 

52  08 

51  16 

50  23 

49  29 

4834 

47  36 

4638 

45  39 

30 

40 

53  48 

53  02 

52  15 

51  27 

5038 

49  47 

4857 

48  05 

47  II 

46  16 

45  20 

44  23 

40 

50 

52  II 

51  26 

50  41 

49  55 

49  08 

48  20 

47  31 

46  40 

45  49 

44  56 

44  02 

43  07 

50 

7 

OO 

50  35 

49  52 

49  08 

48  23 

4738 

46  51 

46  04 

45  15 

44  26 

43  35 

42  43 

41  50 

7    00 

lO 

4858 

48  16 

47  34 

46  51 

46  07 

45  23 

44  37 

43  50 

43  03 

42  13 

41  23 

40  32 

10 

20 

47  21 

46  42 

46  01 

45  19 

44  36 

43  54 

43  10 

42  24 

41  39 

40  51 

40  03 

39  14 

20 

30 

45  45 

45  06 

44  27 

43  47 

43  06 

42  25 

41  42 

40  59 

40  15 

39  30 

38  43 

37  56 

30 

40 

44  08 

43  31 

42  53 

42  14 

41  35 

40  55 

40  14 

39  33 

3851 

38  07 

37  23 

3637 

40 

50 

42  30 

41  55 

41  18 

4041 

40  04 

39  25 

3846 

38  06 

3726 

36  44 

36  01 

35  18 

50 

8 

OO 

40  52 

40  18 

39  44 

39  07 

38  32 

37  55 

37  17 

36  39 

36  00 

35  19 

34  39 

33  57 

8     00 

lO 

39  14 

38  41 

38  08 

37  34 

36  59 

36  24 

3548 

35  II 

34  34 

33  56 

33  17 

32  37 

10 

20 

37  36 

37  04 

36  32 

35  59 

35  27 

34  52 

34  18 

33  44 

3308 

32  31 

31  54 

31  16 

20 

30 

3558 

35  27 

34  57 

34  25 

33  54 

33  22 

32  49 

32  15 

31  42 

31  07 

30  31 

29  55 

30 

40 

34  18 

33  47 

33  21 

32  50 

32  20 

31  49 

31  19 

30  47 

30  14 

29  41 

29  07 

28  33 

40 

50 

32  38 

32  II 

31  43 

31  15 

30  46 

30  17 

2947 

29  17 

2847 

28  15 

27  43 

27  10 

50 

» 

OO 

3058 

30  32 

30  06 

29  39 

29  II 

28  44 

28  17 

2747 

27  18 

26  49 

26  18 

25  47 

9     00 

lO 

29  18 

28  53 

28  28 

28  02 

27  37 

27  II 

26  45 

26  16 

25  50 

25  22 

24  53 

24  24 

lO 

20 

27  37 

27  13 

26  50 

26  26 

26  02 

25  37 

25  13 

24  47 

24  21 

23  55 

23  28 

23  00 

20 

30 

25  56 

25  34 

25  12 

24  49 

24  27 

24  03 

23  40 

23  16 

22  52 

22  27 

22  01 

21  36 

30 

40 

24  14 

23  54 

23  33 

23  12 

22  51 

22  29 

22  08 

21  45 

21  23 

20  59 

20  35 

20  12 

40 

50 

22  32 

22  12 

21  54 

21  34 

21  15 

20  55 

20  34 

20  13 

19  53 

19  31 

19  09 

18  47 

50 

lO 

OO 

20  49 

20  32 

20  14 

19  56 

1938 

19  19 

19  01 

18  42 

18  22 

18  02 

17  43 

17  22 

10     00 

lO 

19  06 

18  51 

1835 

18  17 

18  01 

17  44 

17  26 

17  09 

16  52 

16  33 

16  15 

15  56 

10 

20 

17  24 

17  09 

16  54 

16  39 

16  24 

16  08 

15  53 

15  37 

15  21 

15  04 

14  47 

14  30 

20 

30 

15  40 

15  27 

15  13 

15  00 

14  47 

14  32 

14  18 

14  04 

13  49 

13  35 

13  19 

13  04 

30 

40 

13  57 

13  45 

13  33 

13  21 

13  08 

12  56 

12  44 

12  31 

12  18 

12  05 

II  51 

II  37 

40 

50 

12  II 

12  02 

II  51 

II  41 

11  31 

II  20 

II  09 

1058 

10  47 

10  34 

10  23 

10  II 

50 

11 

OO 

10  28 

10  19 

10  10 

10  01 

953 

9  43 

9  34 

9  24 

9  14 

9  04 

855 

844 

11     00 

lO 

8  44 

837 

8  29 

8  22 

8  14 

8  06 

7  59 

7  50 

7  42 

7  33 

7  25 

7  17 

10 

20 

6  59 

6  54 

6  48 

6  42 

6  35 

6  29 

-  623 

6  It) 

6  10 

6  03 

556 

5  50 

20 

30 

5  14 

5  10 

5  05 

5  01 

4  56 

4  52 

4  47 

4  42 

438 

4  32 

4  28 

4  22 

30 

40 

3  30 

3  27 

3  24 

3  21 

3  18 

3  15 

•3  12 

3  09 

3  05 

3  02 

2  59 

2  55 

40 

50 

.  I  45 

I  43 

I  42 

I  40 

I  39 

I  37 

1  36 

I  34 

I  33 

I  31 

I  29 

1  27 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


244 


AZIMUTH  OR  TRUE   BEARING. 


liATITUDE  59° 


DECI^INATION— SAME  NAME  AS— LATITCi)E. 


LATITUDE  59°. 


Hour  Angle. 


li. 

O 


11 


12 


m. 

oo 

10 
20 
30 
40 
50 

OO 
lO 

ao 

30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
SO 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


60° 


50  41 

66  22 

72  04 

74  34 

75  42 

76  06 
76  05 
7548 
75  20 
74  45 
74  05 

73  20 
72  31 
71  41 
70  48 
69  53 
68  57 

67  59 
67  00 
66  00 
64  59 
63  57 
62  54 

61  51 
60  47 
59  41 
58  36 
57  30 
56  22 

55  15 
54  <» 
52  58 

51  48 
50  38 
49  27 

48  16 
47  05 
45  52 
44  38 
43  24 
42  II 

40  56 


39  41 

38  25 

37  09 

35  51 

34  34 

33  15 

31  57 

30  37 

29  18 

27  57 

26  37 

25  17 

23  54 

22  32 

21  10 

19  47 

18  24 

17  01 

15  36 

14  13 

12  48 

II  24 

9  59 

833 

708 

5  43 

4  17 

2  51 

I  26 

0  00 

o  00 

30  56 

49  12 

58  43 

63  55 

66  54 

68  39 

69  37 

70  07 
70  16 
70  II 
69  55 

69  31 
69  00 
68  25 

67  45 
67  01 
66  15 

65  27 

64  36 

63  43 
62  49 
61  54 
60  57 

5958 
5858 
57  59 
56  57 
55  55 
54  51 

53  47 
52  43 
51  36 

50  30 
49  22 
48  15 

47  06 
45  57 
44  47 
43  36 
42  24 

41  13 

40  00 

3847 
37  33 
36  19 
35  04 
3348 

32  32 

31  15 
29  58 
28  40 
27  22 
26  03 

24  43 
23  24 
22  04 
20  43 
19  22 
18  01 

16  39 
15  17 
13  54 
12  32 
II  09' 
9  47 

8  23 
6  59 
5  35 
4  12 
2  48 
I  24 
o  00 


62° 


o  00 
21  14 
37  13 

47  41 

54  22 
5839 

61  29 

63  19 

64  29 
6«;  12 
6536 

65  44 

65  39 
65  26 
65  05 
64  38 
64  06 
63  31 

62  51 
62  09 

61  24 
60  37 
59  47 
5856 

58  03 
57  09 
56  13 

55  16 
54  17 
53  18 

52  17 
51  16 

50  13 
49  10 

48  06 
47  01 

45  55 
44  48 
43  41 
42  33 
41  24 
40  13 

39  04 
37  52 
36  41 
35  28 
34  16 
33  02 

31  48 
30  33 
29  18 
28  02 
26  46 
25  29 

24  II 
22  53 
21  34 
20  16 
1856 
17  38 

16  18 
14  57 
13  37 
12  16 
10  55 
9  34 

8  12 
6  50 
5  28 
4  06 
2  44 


63° 


o  00 

15  46 
29  03 

39  02 

46  10 
51  12 

54  46 
57  16 

59  02 

60  14 

61  02 
61  31 

61  46 
61  49 
61  42 
61  29 
61  09 
60  43 

60  12 
59  39 
59  02 

<S  21 
57  38 
56  53 

56  06 

55  16 
54  24 
53  32 
5238 
51  43 

50  45 
49  48 
48  49 

47  48 
46  47 

45  45 

44  41 

43  38 

42  32 

41  27 

40  21 
39  13 

38  05 
3656 
35  47 
34  37 
33  25 
32  14 

31  02 

alii 
27  22 
26  08 
24  53 

23  38 
22  21 
21  05 
19  48 
18  31 
17  13 

15  55 
14  37 
13  18 
II  59 
10  39 
9  21 

8  00 
6  41 
5  21 
4  01 
2  40 
I  20 
o  00 


64° 


o  00 
12  20 
23  20 
32  20 

39  21 

44  39 

48  37 

51  35 

53  47 

55  23 

56  34 

57  22 

57  54 

58  12 
58  20 
58  18 
58  09 
57  53 

57  32 
57  06 
56  37 
56  03 
55  26 

54  46 

54  05 
53  20 

52  34 
51  40 
50  56 
50  05 

49  II 
48  17 
47  21 
46  24 

45  26 
44  27 

43  27 
42  25 
41  23 

40  20 
39  16 
38  II 


65° 


37 

05 

35  59 

34  51 

33  43 

32  35 

31 

25 

30 

16 

29  05 

2753 
26  42 

25  30 

24 

17 

23 

03 

21 

49 

20 

35 

16 

19 
04 

48 

15  33 
14  16 

12 

59 

11 

42 

10 
9 

25 
08 

750 
6  32. 

5 

13 

3  55 

0 

00 

o  00 

9  59 
19  10 
27  08 
33  43 
38  57 

43  06 
46  20 
48  50 
50  46 

52  13 

53  18 

54  05 
54  37 

54  56 

55  07 
5508 
55  02 


54  32 

54  09 

53  43 

53 

12 

52 

38 

52 

02 

51 

22 

50  41 

49 

58 

49 

12 

48 

24 

66° 


8  15 
16  03 
23  02 
29  03 
34  04 

38  12 
41  33 
44  14 

46  21 

48  02 

49  21 

50  20 

51  05 
51  36 

51  56 

52  07 
52  09 

52  06 
51  56 
51  39 
51  20 
50  56 
50  28 

49  57 
49  22 
48  46 
48  06 

47  25 


67° 


68° 


48  24 

47  35 

46  42 
45  56 

46  44 

45  09 

45  52 

44  21 

44  58 

43  29 

44  03 

42  38 

43  07 

41  45 

42  09 

40  51 

41  10 

39  55 

40  12 

3858 

39  II 

38  00 

38  09 

37  01 

37  07 

36  01 

36  04 

35  01 

35  00 

34  00 

33  55 

32  57 

32  49 

31  54 

31  43 

30  49 

30  36 

29  45 

29  28 

2839 

28  19 

27  33 

27  10 

26  26 

26  00 

25  18 

24  50 

24  K) 

23  39 

23  01 

22  27 

21  52 

21  16 

20  42 

20  04 

19  32 

18  50 

18  20 

17  37 

17  09 

16  23 

15  58 

15  09 

14  45 

13  54 

13  33 

12  40 

12  20 

II  25 

II  07 

10  09 

9  53 

854 

8  40 

738 

726 

6  22 

6  12 

5  05 

4  57 

3  49 

3  43 

•2  33 

2  29 

I  16 

I  14 

0  00 

0  00 

o  00 
6  58 
13  38 
19  45 
25  II 

29  54 

33  53 
37  13 
3958 

42  14 

44  05 

45  32 

46  42 

47  36 

48  17 

48  46 

49  06 
49  17 

49  21 
49  17 
49  09 
4855 
4837 
48  14 

47  49 
47  19 
46  47 
46  13 
45  36 
44  57 

44  15 

43  32 
42  46 
41  59 
41  II 
40  21 


o  00 
558 
II  42 
17  05 
21  58 
26  18 

30  05 
33  20 
36  06 
3825 

40  20 

41  55 

43  13 

44  14 

45  03 

45  40 

46  07 
46  25 

46  36 
46  40 
46  37 
46  30 
46  17 
46  01 

45  40 
45  16 
44  48 
44  18 
43  45 
43  10 

42  32 
41  53 
41  II 
40  27 
39  42 
3855 


60° 


39  30 

3807 

38  37 

37  17 

37  43 

36  27 

3648 

35  34 

35  51 

34  40 

34  54 

33  46 

33  56 

32  50 

32  57 

31  53 

31  57 

30  56 

30  56 

2|58 

29  55 

28  52 

27  58 

27  48 

26  57 

26  44 

25  55 

25  40 

24  53 

24  34 

23  50 

23  28 

22  46 

22  21 

21  42 

21  14 

20  36 

20  06 

19  30 

18,58 

18  24 

17  49 

17  18 

16  40 

16  II 

15  30 

15  03 

14  21 

13  55 

13  10 

12  47 

II  5& 

II  38 

10  48 

10  30 

9  37 

9  20 

8  26 

8  II 

7  13 

7  01 

6  01 

5  51 

4  50 

4  41 

3  37 

3  31 

2  25 

2  21 

I  12 

I  10 

0  00 

0  00 

o  00 
5  08 
10  08 

14  52 
19  14 

23  12 

26  44 

29  51 

32  32 

34  50 
3648 

38  27 

39  49 

40  58 

41  53 

42  36 

43  10 
43  35 

43  51 

44  01 
44  05 
44  03 
43  56 
43  45 

43  29 
43  10 
42  46 
42  21 
41  52 
41  21 

40  46 
40  10 
39  32 
3853 
38  10 
57  27 

36  41 

35  54 
35  07 
34  17 

33  27 
32  35 

31  42 

30  48 
29  53 
2857 
28  01 

27  02 

26  04 
25  04 

24  04 
23  03 
22  02 
21  00 

19  57 
1854 
17  50 
16  45 

15  41 
14  35 

13  29 
12  23 
II  17 
10  10 
9  03 
7  56 

648 
5  40 
4  32 
3  24 
2  16 
I  08  I 
o  00  I 


70° 


0  00 
4  28 
8  30 

13  00 
16  55 

20  32 

23  48 

26  42 

29  17 

31  33 

33  31 

35  II 

3638 

37  50 

38  49 

39  37 

40  17 

40  47 

41  09 
41  25 
41  34 
41  37 
41  35 
41  28 

41  17 
41  02 
4043 
40  21 
39  57 
39  29 

3859 
38  27 
37  52 
37  15 

36  37 
35  57 

35  15 

34  31 
33  46 
33  00 

32  12 
31  23 

30  32 
29  41 
28  48 

27  55 
27  01 
26  06 

25  10 

24  13 
23  15 
22  16 

21  17 
20  17 

19  17 
18  16 
17  14 
16  12 

15  o? 
14  06 

13  03 
II  59 
10  54 
9  50 
8  45 
7  40 

6  35 
5  29 
4  24 
3  18 
2  12 

1  06 
o  00* 


Hour  Angle. 


O 


10 


11 


12 


lU. 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  'North  latitude,  when  the  star  is  rising  or  Eas  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


245 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  60°. 

DECLINATION- 

SAME  NAME  AS— LATITUDE. 

LATITUDE  60°. 

Hour  angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hoar  angle. 

Ii. 

m. 

0   ; 

0  1 

0  / 

0  / 

0  / 

0  / 

0   / 

0  / 

0  / 

0  / 

0  ' 

0  • 

li.    m. 

O 

OO 

iSo  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

iSo  00 

180  00 

180  00 

180  00 

0    00 

lO 

176  07 

176  03 

176  00 

175  55 

175  50 

175  46 

175  40 

175  35 

175  29 

175  23. 

175  17 

175  09 

10 

20 

172  14 

172  07 

171  59 

171  50 

171  42 

171  32 

171  22 

171  12 

171  00 

170  48 

170  35 

170  21 

20 

30 

168  25 

168  12 

168  00 

167  48 

167  35 

167  21 

167  06 

J66  50 

166  34 

166  16 

165  57 

165  36 

30 

40 

164  36 

164  20 

164  05 

163  48 

163  31 

163  12 

162  53 

162  33 

162  II 

161  48 

161  24 

160  56 

40 

50 

160  51 

160  31 

160  13 

159  52 

159  31 

159  09 

158  45 

158  20 

157  54 

157  26 

156  56 

156  23 

60 

1 

OO 

157  09 

156  47 

156  24 

156  01 

155  36 

155  II 

154  43 

154  14 

153  43 

153  10 

152  36 

151  59 

1     00 

lO 

153  30 

15306 

152  41 

152  14 

151  46 

151  17 

15046 

150  13 

149  38 

149  02 

148  24 

147  42 

10 

20 

149  57 

149  30 

149  02 

148  32 

148  01 

147  29 

146  56 

146  20 

145  42 

145-  02 

144  20 

143  35 

20 

30 

146  28 

145  59 

145  29 

144  56 

144  22 

143  48 

143  11 

142  33 

141  53 

141  09 

140  24 

139  37 

30 

40 

143  04 

142  33 

142  00 

141  25 

140  50 

140  13 

'39  35 

13853 

138  II 

137  26 

13638 

135  49 

40 

50 

139  46 

139  12 

13838 

138  02 

137  24 

136  45 

136  05 

135  22 

134  38 

133  51 

133  02 

132  10 

50 

2 

OO 

136  31 

135  57 

135  21 

134  43 

13404 

133  24 

132  41 

131  57 

131  n 

130  23 

129  33 

128  39 

2     00 

10 

133  23 

132  47 

132  09 

131  31 

130  50 

130  09 

129  25 

128  40 

127  52 

127  03 

126  12 

125  17 

10 

20 

130  20 

129  43 

129  04 

128  24 

127  43 

127  00 

126  15 

125  29 

124  42 

123  51 

122  59 

122  04 

20 

30 

127  20 

126  43 

126  03 

125  22 

124  40 

12358 

123  12 

122  25 

"I  ^^ 

120  45 

119  53 

118  57 

30 

40 

124  26 

123  47 

123  08 

122  26 

121  44 

121  00 

120  15 

119  27 

118  38 

117  47 

116  54 

115  59 

40 

50 

121  37 

120  58 

120  17 

"9  35 

118  52 

118  08 

117  22 

116  35 

115  46 

114  55 

114  02 

113  07 

50 

3 

OO 

118  52 

118  12 

117  32 

116  49 

116  06 

115  22 

114  36 

113  48 

112  59 

112  09 

in  16 

1:0  21 

3     00 

lO 

116  II 

115  31 

114  50 

114  07 

113  23 

112  40 

III  54 

III  06 

no  18 

109  27 

108  34 

107  40 

10 

20 

"3  33 

"2  53 

112  12 

III  30 

no  46 

no  03 

.109  17 

108  29 

107  41 

106  51 

105  59 

105  05 

20 

30 

III  00 

no  19 

109  39 

108  57 

108  13 

107  30 

io6  44 

105  57 

105  09 

104  19 

103  27 

102  35 

30 

40 

108  30 

107  50 

107  09 

106  27 

105  44 

105  00 

104  15 

103  28 

102  41 

loi  51 

loi  00 

100  08 

40 

50 

Tc6  04 

105  23 

104  42 

104  00 

103  17 

102  35 

lOI  49 

loi  03 

100  16 

99  27 

9838 

97  47 

50 

4 

OO 

103  40 

102  59 

102  19 

101  37 

100  55 

100  12 

99  27 

9843 

97  56 

9708 

96  18 

9528 

4     00 

10 

lOI  18 

100  38 

99  59 

99  16 

98  35 

97  53 

97  09 

96  24 

95  37 

94  50 

94  02 

93  13 

10 

20 

9859 

98  21 

97  40 

96  59 

96  18 

95  36 

94  53 

94  08 

93  23 

92  36 

9148 

91  00 

20 

30 

96  43 

96  04 

95  24 

94  44 

94  03 

93  22 

92  39 

91  55 

91  II 

90  25 

8938 

!f  5' 

30 

40 

94  29 

93  50 

93  II 

92  32 

91  51 

91  10 
89  00 

90  28 

8945 

89  01 

88  16 

8730 

8643 

40 

50 

92  17 

91  38 

91  00 

90  20 

8940 

88  18 

8736 

8653 

86  09 

85  24 

8438 

50 

5 

OO 

90  05 

8927 

8849 

88  II 

87  31 

8652 

86  10 

85  29 

8447 

8403 

83  20 

82  34 

5     00 

lO 

8756 

87  19 

86  42 

8603 

85  24 

84  45 

8405 

8324 

82  42 

81  59 

81  16 

80  32 

10 

20 

85  49 

85  II 

84  34 

83  57 

83  18 

82  40 

82  00 

81  21 

8039 

7958 

79  16 

78  33 

20 

30 

8341 

83  05 

82  29 

81  52 

81  14 

8036 

79  57 

79  18 

7838 

77  57 

77  16 

76  33 

30 

40 

81  35 

81  00 

80  24 

79  47 

79  10 

78  33 

77  54 

77  16 

7636 

75  57 

75  17 

74  35 

40 

50 

79  32 

78  57 

78  21 

77  45 

7709 

76  32 

75  55 

75  17 

7438 

73  59 

73  19 

72  38 

50 

6 

OO 

77  27 

76  52 

76  17 

75  42 

75  07 

74  30 

73  53 

73  16 

72  39 

72  00 

71  22 

7043 

6     00 

lO 

75  23 

74  50 

74  15 

73  41 

73  05 

72  30 

71  53 

71  18 

7040 

70  03 

69  25 

6847 

10 

20 

75  21 

72  48 

72  14 

71  39 

71  05 

70  30 

6956 

69  20 

6843 

68  07 

67  30 

66  53 

20 

30 

71  18 

70  45 

70  T2 

6939 

69  04 

68  32 

67  57 

67  22 

66  46 

66  IX 

65  34 

6458 

30 

40 

'69  15 

68  44 

68  11 

6738 

6765 

6632 

6558 

65  24 

64  49 

64  14 

63  39 

63  04 

40 

50 

6713 

66  42 

66  10 

6538 

65  04 

64  33 

64  00 

63  27 

62  53 

62  19 

61  45 

61  10 

50 

7 

OO 

65  II 

64  40 

64  09 

63  37 

6306 

62  35 

62  02 

61  30 

60  57 

60  23 

59  50 

59  17 

7     00 

lO 

63  08 

6238 

62  07 

61  37 

61  05 

W3  35 

60  03 

59  33 

59  00 

5828 

57  56 

57  22 

10 

20 

61  06 

6036 

60  06 

59  37 

59  06 

5836 

5^°5 

57  35 

57  05 

56  33 

56  01 

5528 

20 

30 

59  03 

5835 

58  05 

57  36 

57  07 

56  37 

5608 

55  3: 

55  07 

54  37 

54  07 

53  35 

30 

40 

57  00 

56  32 

56  04 

55  35 

55  07 

54  39 

54  10 

53  40 

53  11 

52  42 

52  n 

51  41 

40 

60 

54  57 

54  29 

54  02 

53  34 

53  06 

52  39 

52  10 

51  43 

51  14 

5045 

50  16 

49  47 

SO 

8 

OO 

52  52 

52  26 

51  59 

51  32 

51  05 

5038 

50  TI 

49  43 

49  16 

48  49 

48  21 

47  53 

8     00 

lO 

50  48 

50  22 

49  56 

49  30 

49  04 

4838 

48  12 

47  46 

47  19 

46  52 

46  25 

4558 

10 

20 

48  43 

48  18 

47  53 

47  28 

47  03 

46  37 

46  12 

45  47 

45  21 

44  .55 

44  30 

44  03 

20 

30 

46  37 

46  13 

45  49 

45  25 

4500 

44  36 

44  12 

43  47 

43  23 

4258 

42  33 

42  08 

30 

40 

44  30 

44  07 

43  45 

43  21 

4258 

42  35 

42  II 

41  47 

41  23 

40  59 

40  36 

40  12 

40 

50 

42  23 

42  02 

41  40 

41  16 

4054 

40  32 

40  09 

39  47 

39  24 

39  01 

3839 

38  15 

50 

9 

OO 

40  15 

39  54 

39  33 

39  11 

38  50 

38  28 

38  07 

37  46 

37  23 

37  02 

36  40 

36  18 

9     00 

lO 

38  o-/ 

37  47 

37  26 

37  05 

3645 

36  25 

36  04 

35  44 

35  23 

35  03 

34  42 

34  21 

10 

20 

35  57 

35  39 

35  19 

35  00 

34  40 

34  21 

34  01 

33  42 

33  22 

33  02 

32  43 

32  23 

20 

30 

33  48 

33  29 

33  II 

32  52 

32  35 

32  16 

31  57 

31  39 

31  21 

31  02 

30  43 

30  24 

30 

40 

31  36 

31  20 

31  02 

30  44 

30  27 

30  10 

29  53 

29  36 

29  18 

29  00 

28  43 

28  26 

40 

50 

29  25 

29  09 

2853 

2837 

28  20 

28  04 

27  47 

27  32 

27  16 

26  59 

26  42 

26  26 

50 

lO 

OO 

27  12 

26  57 

2643 

26  27 

26  13 

25  57 

25  42 

25  27 

25  12 

24  57 

24  42 

24  26 

10     00 

lO 

25  00 

2445 

24  31 

24  17 

24  03 

23  49 

23  36 

23  22 

23  08 

22  54 

22  40 

22  26 

10 

20 

22  46 

22  33 

22  20 

22  08 

21  54 

21  42 

21  29 

21  17 

21  04 

20  51 

20 '38 

20  26 

20 

30 

20  31 

20  19 

20  08 

19  56 

19  44 

19  34 

19  22 

19  II 

1859 

18  48 

18  "36 

18  25 

30 

40 

18  16 

18  06 

17  55 

17  45 

17  35 

17  24 

17  14 

17  04 

16  54 

16  43 

16  33 

16  23 

40 

50 

16  00 

15  51 

15  42 

15  33 

15  23 

15  15 

15  05 

14  57 

14  48 

1438 

14  29 

14  20 

50 

11 

OO 

13  44 

13  36 

13  28 

13  20 

13  12 

13  04 

12  58 

12  50 

12  41 

12  33 

12  26 

12  18 

11     00 

lO 

II  27 

11  20 

II  14 

II  07 

II  01 

10  55 

10  48 

10  41 

10  35 

10  29 

10  22 

10  16 

10 

20 

9  10 

9  05 

9  00 

855 

8  49 

8  45 

8  39 

833 

8  29 

823 

8  18 

8  13 

20 

30 

652 

6  49 

6  45 

6  41 

637 

633 

6  29 

625 

6  20 

.   617 

6  14 

6  10 

30 

40 

4  35 

4  33 

4  30 

4  28 

4  25 

4'22 

4  20 

418 

4  15 

4  12 

4  10 

4  07 

40 

50 

2  18 

J  17 

2  15 

2  14 

2  13 

2  II 

2  09 

2  08 

2  07 

2  06 

2  04 

2  03 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Soath  latltade,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


246 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  60°. 

DECLINATION— 

SAME  NAME  A,S -LATITUDE 

LATITUDE  60°. 

Hour  Angle. 

36° 

37° 

38° 

3»° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

b.    m. 

0  / 

0  1 

0  / 

0  / 

0  / 

0  t 

0  / 

0  / 

0  t 

0  / 

0  / 

0  / 

ll.      Ul.   1 

O     OO 

180  00 

180  00 

180  00 

180  00 

180  CK> 

180  00 

180  00 

180  00 

180  00  ' 

180  00 

180  00 

180  00 

0    00  1 

10 

175  02 

174  54 

174  45 

174  35 

174  25 

174  13 

174  00 

173  46 

173  29  ' 

173  11 

172  51 

172  27 

10 

20 

170  06 

169  50 

169  33 

169  13 

168  52 

168  29 

168  04 

167  36 

167  05 

166  30 

165  49 

165  03 

20 

30 

165  14 

164  51 

164  25 

163  57 

163  27 

162  53 

162  17 

161  36 

160  51 

160  00 

159  03 

15758 

30 

40 

160  28 

159  57 

159  24 

158  49 

158  09 

157  27 

156  40 

155  48 

154  52 

153  48 

152  36 

151  16 

40 

50 

155  50 

155  13 

154  33 

153  51 

153  04 

152  13 

151  17 

150  17 

149  10 

147  56 

146  34 

145  01. 

50 

1     00 

151  19 

150  37 

149  52 

149  03 

148  10 

147  13 

146  10 

145  03 

143  48 

142  26 

140  55 

139  15 

1     00 

10 

146  59 

146  11 

145  21 

144  28 

143  30 

142  27 

141  20 

140  06 

138  46 

137  19 

135  42 

133  55 

10 

20 

142  48 

141  57 

14J  03 

140  05 

139  03 

137  57 

136  45 

135  27 

134  04 

132  32 

130  53 

129  04 

20 

30 

138  46 

137  53 

136  56 

135  55 

134  50 

133  40 

132  26 

131  06 

129  39 

128  06 

126  24 

124  35 

30 
40 

40 

134  56 

134  00 

133  00 

131  57 

130  50 

129  39 

128  22 

127  01 

125  34 

123  59 

122  17 

120  29 

50 

131  15 

130  17 

129  17 

128  12 

127  03 

125  51 

124  33 

123  12 

121  43 

120  09 

118  28 

116  41 

50 

2     00 

127  44 

126  44 

r25  42 

124  37 

123  28 

122  15 

120  57 

119  35 

118  08 

n6  36 

114  54 

113  09 

2     00 

10 

124  21 

123  21 

122  18 

121  13 

120  04 

118  50 

117  32 

116  II 

114  45 

113  13 

III  35 

109  53 

10 

20 

121  07 

120  07 

119  04 

117  58 

116  48 

115  36 

114  19 

112  58 

III  34 

no  03 

108  29 

106  48 

20 

30 

iiS  00 

117  00 

"5  57 

114  53 

113  43 

112  32 

III  16 

109  56 

108  33 

107  05 

105  33 

103  55 

30 

40 

115  01 

114  02 

113  00 

III  55 

no  46 

109  35 

108  21 

107  03 

105  42 

104  16 

102  46 

lOI  II 

40 

50 

112  10 

III  II 

no  09 

109  05 

107  57 

106  48 

105  34 

104  19 

102  59 

loi  35 

100  08 

98  37 

50 

3     00 

109  25 

108  26 

107  25 

106  22 

105  16 

104  07 

102  55 

loi  41 

100  24 

99  02 

97  37 

96  09 

3     00 

10 

106  45 

105  47 

104  46 

103  44 

102  39 

loi  32 

100  21 

99  09 

97  54 

96  35 

95  13 

93  47 

10 
20 

20 

104  10 

103  13 

102  13 

loi  12 

100  09 

99  03 

97  54 

96  44 

95  31 

94  14 

92  54 

91  32 

30 

loi  41 

100  44 

99  46 

98  46 

97  44 

96  39 

95  33 

94  24 

93  13 

91  58 

90  41 

89  21 

30 

40 

99  16 

98  20 

97  23 

96  24 

95  23 

94  20 

93  15 

92  08 

90  59 

89  47 

88  32 

87  17 

40 

50 

96  54 

95  59 

95  04 

94  06 

93  06 

92  05 

91  01 

8956 

88  49 

8738 

86  26 

85  12 

50 

4     00 

94  37 

93  43 

92  48 

91  52 

90  54 

89  54 

88  52 

8749 

8643 

85  35 

84  25 

S3  13 

4    00 

10 

92  22 

91  29 

90  35 

89  41 

88  44 

8745 

86  44 

85  43 

84  40 

83  34 

82  26 

81  16 

10 

20 

90  10 

89  19 

88  26 

87  32 

8637 

85  40 

84  42 

8342 

82  39 

81  35 

80  30 

79  22 

20 

30 

88  01 

87  12 

86  19 

85  28 

84  33 

8337 

82  40 

81  42 

80  42 

79  40 

78  36 

77  30 

30 

40 

85  55 

8506 

84  16 

83  24 

82  32 

81  37 

80  42 

79  45 

78  47 

77  46 

76  45 

75  40 

40 

50 

8351 

83  03 

82  13 

81  24 

80  32 

79  39 

78  45 

77  50 

76  53 

75  54 

74  54 

73  52 

50 

5     00 

81  48 

81  01 

80  13 

79  24 

78  34 

77  42 

76  50 

75  56 

75  01 

74  04 

73  06 

72  06 

5     00 

10 

79  47 

79  01 

78  14 

77  27 

76  37 

75  46 

74  56 

74  04 

73  10 

72  15 

71  19 

70  21 

10 

20 

77  48 

77  03 

76  17 

75  31 

74  43 

73  54 

73  04 

72  13 

71  21 

70  27 

69  33 

68  37 

20 

30 

75  50 

75  06 

74  21 

73  37 

72  49 

72  02 

71  12 

70  24 

69  33 

68  40 

67  48 

6653 

30 

40 

73  53 

73  10 

72  27 

71  42 

70  56 

70  09 

69  22 

6835 

67  46 

6655 

66  04 

65  II 

40 

60 

71  57 

71  16 

70  33 

69  50 

69  06 

68  20 

67  34 

66  48 

66  00 

65  II 

64  21 

63  30 

50 

6     00 

70  02 

69  21 

6839 

67  57 

67  14 

6631 

65  46 

65  01 

64  14 

63  26 

62  38 

61  48 

6     00 

10 

68  08 

67  27 

66  46 

66  06 

65  24 

64  41 

6358 

63  13 

62  29 

61  42 

60  55 

60  07 

10 

20 

66  14 

65  35 

64  56 

64  16 

63  35 

62  54 

62  II 

61  29 

60  45 

59  59 

59  14 

5828 

20 

30 

64  21 

63  43 

63  04 

62  26 

61  46 

61  05 

60  24 

59  43 

58  59 

58  16 

57  32 

56  47 

30 

40 

62  27 

61  50 

61  13 

60  35 

59  56 

59  17 

58  37 

^7  57 

57  16 

56  33 

55  51 

55  07 

40 

60 

60  34 

59  59 

59  22 

5846 

5808 

57  30 

56  51 

56  12 

55  32 

54  51 

54  10 

53  27 

50 

7     00 

58  42 

58  07 

57  31 

5656 

56  20 

55  43 

55  05 

54  27 

53  49 

53  09 

52  29 

51  48 

7     00 

10 

56  49 

56  15 

55  40 

55  06 

54  30 

53  54 

53  19 

52  42 

52  05 

51  27 

50  48 

50  08 

10 
20 
30 
40 

20 

54  56 

54  23 

53  50 

53  17 

52  42 

52  08 

51  32 

50  57 

50  21 

49  43 

49  06 

48  29 

30 

53  04 

52  32 

51  59 

51  27 

50  54 

50  20 

49  46 

49  12 

48  37 

48  01 

47  25 

46  48 

40 

51  II 

50  40 

50  09 

49  37 

49  05 

48  33 

48  00 

47  26 

46  53 

46  19 

45  44 

45  08 

50 

49  18 

48  48 

48  18 

4748 

47  17 

46  45 

46  13 

45  41 

45  09 

44  36 

44  02 

43  27 

50 

8     00 

47  24 

46  55 

46  26 

45  57 

45  27 

44  57 

44  26 

43  55 

43  24 

42  51 

42  20 

41  47 

8     00 
10 

10 

45  31 

45  02 

44  34 

44  07 

43  38 

43  09 

42  39 

42  09 

41  39 

41  09 

40  38 

40  07 

20 

43  36 

43  09 

42  43 

42  16 

41  48 

41  20 

40  51 

40  24 

39  55 

39  24 

3856 

38  26 

20 

30 

41  42 

41  16 

40  50 

40  25 

39  58 

39  32 

39  04 

3837 

38  10 

37  41 

37  13 

36  44 

30 

40 

39  47 

39  22 

3857 

38  33 

38  08 

37  42 

37  16 

36  50 

36  24 

35  57 

35  30 

35  01 

40 
50 

50 

37  52 

37  29 

37  05 

36  41 

36  17 

35  52 

35  28 

35  03 

34  38 

34  II 

33  47 

33  19 

9     00 

35  56 

35  33 

35  11 

34  49 

34  25 

34  02 

33  39 

33  15 

32  51 

32  27 

32  03 

31  37 

9     00 
10 
20 
30 
40 
60 

10 

33  59 

33  38 

33  17 

32  56 

32  34 

32  12 

31  49 

31  27 

31  04 

3541 

30  18 

29  54 

20 

32  03 

31  43 

31  23 

31  03 

30  42 

30  21 

30  01 

29  39 

29  17 

28  56 

28  34 

28  II 

30 

30  05 

29  47 

29  27 

29  08 

28  49 

28  29 

28  09 

27  50 

27  29 

27  09 

26  49 

26  28 

40 

28  08 

27  50 

27  32 

27  14 

26  56 

26  38 

26  19 

26  01 

25  42 

25  22 

25  03 

24  43 

50 

26  10 

25  53 

25  37 

25  20 

25  02 

24  46 

24  29 

24  II 

23  53 

23  36 

23  18 

23  00 

10   00 

24  12 

23  56 

23  40 

23  25 

23  09 

22  53 

22  37 

22  21 

22  05 

21  48 

21  31 

21  15 

10     00 
10 

10 

22  13 

21  58 

21  43 

21  30 

21  15 

21  00 

20  45 

20  31 

20  16 

20  00 

19  45 

19  30 

20 

20  13 

20  00 

19  46 

19  34 

19  21 

19  07 

1853 

18  40 

18  26 

18  12 

17  59 

17  44 

20 

30 

18  12 

18  01 

17  49 

17  38 

17  26 

17  13 

17  01 

16  49 

16  36 

16  25 

16  n 

15  59 

30 
40 
50 

40 

16  12 

16  01 

15  51 

15  41 

15  30 

15  19 

15  09 

14  58 

14  47 

14  36 

14  25 

14  13 

50 

14  11 

14  02 

13  53 

13  44 

13  35 

13  25 

13  15 

13  06 

12  57 

12  46 

12  37 

12  25 

11     00 

12  II 

12  02 

II  55 

II  47 

II  38 

II  30 

II  22 

II  14 

II  06 

10  58 

10  50 

10  40 

11     00 

10 

10  09 

10  02 

9  49 

9  43 

9  36 

9  29 

9  22 

9  15 

9  09 

9  01 

855 

10 
20 
30 
40 
50 
12    00 

20 

8  07 

•  8  02 

7  56 

7  51 

7  46 

7  41 

736 

730 

7  25 

7  19 

7  13 

7  07 

30 

6  06 

6  02 

558 

5  50 

5  45 

5  42 

538 

5  34 

5  29 

5  25 

5  21 

40 

4  04 

4  01 

3  59 

3  56 

3  54 

3  51 

3  48 

3  45 

3  42 

3  39 

3  36 

3  33 

50 

2  02 

2  01 

2  00 

I  58 

I  56 

I  55 

I  54 

I  53 

I  51 

I  50 

I  48 

I  47 

12     00 

0  00 

0  00 

0  00 

0  00 

0.00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckonad  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


247 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  60°. 

DECLINATION- 

SAME 

NAME  AS— LATITUDE. 

l.atiti;jde:  60°. 

Hour  Angle. 

48° 

4»° 

50= 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

li.    m. 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

h.    ni. 

0     OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

o    00 

lO 

171  59 

171  27 

170  48 

170  01 

169  03 

167  47 

166  09 

163  54 

160  36 

155  24 

146  09 

127  09 

10 

20 

164  10 

163  08 

161  55 

160  26 

15838 

156  23 

153  2S 

149  37 

144  20 

136  48 

125  40 

109  20 

20 

30 

156  43 

155  17 

153  35 

151  35 

149  10 

146  13 

142  33 

137  55 

131  57 

124  12 

114  oS 

loi  28 

30 

40 

149  44 

147  58 

145  57 

143  35 

140  47 

137  28 

133  29 

128  38 

122  43 

115  32 

106  53 

96  48 

40 

60 

143  16 

141  19 

139  04 

136  30 

133  31 

130  03 

126  01 

121  16 

115  42 

109  15 

loi  50 

93  32 

50 

1     00 

137  22 

135  16 

132  55 

130  14 

127  12 

123  45 

119  49 

115  20 

no  13 

104  26 

98  00 

9058 

1     00 

10 

131  59 

129  49 

127  25 

124  44 

121  44 

118  22 

114  37 

no  25 

105  44 

100  33 

94  54 

88  49 

10 

20 

127  05 

124  54 

122  30 

119  51 

116  57 

113  43 

no  10 

106  15 

loi  58 

97  19 

92  17 

86  56 

20 

30 

122  36 

120  27 

118  05 

115  31 

112  42 

109  39 

106  18 

102  40 

98  44 

94  30 

8959 

85  12 

30 

40 

118  30 

116  23 

114  05 

III  37 

108  55 

106  01 

102  53 

99  31 

95  54 

92  01 

IZ55 

83  37 

40 

50 

114  45 

112  41 

iio  27 

108  05 

105  31 

102  47 

99  49 

96  41 

93  20 

8947 

86  02 

82  07 

50 

2     00 

III  16 

109  16 

107  07 

104  51 

102  25 

99  49 

97  03 

94  06 

90  59 

8743 

84  16 

80  40 

2     00 

10 

108  03 

106  06 

104  03 

loi  52 

99  33 

97  06 

94  30 

91  45 

2?  50 

85  47 

82  36 

79  17 

10 

20 

105  02 

103  10 

lOI  12 

99  07 

9654 

94  35 

92  07 

8932 

8649 

8359 

81  00 

77  55 

20 

30 

102  13 

100  25 

98  31 

96  32 

94  26 

92  13 

8953 

87  28 

8455 

82  15 

79  28 

7636 

30 

40 

99  32 

97  48 

95  59 

94  05 

92  05 

89  59 

87  47 

8529 

83  05 

8035 

77  59 

75  17 

40 

50 

97  01 

95  21 

93  37 

91  47 

89  52 

8753 

85  48 

8338 

81  21 

7859 

76  33 

74  01 

50 

3     00 

94  37 

93  01 

91  20 

89  09 

89  35 

8746 

8552 

83  53 

81  49 

79  40 

77  27 

7508 

72  45 

3     00 

10 

92  18 

9046 

8729 

8545 

8356 

82  02 

80  04 

78  02 

75  56 

73  44 

71  28 

10 

20 

90  05 

8836 

87  04 

85  28 

83  48 

82  04 

80  16 

78  24 

7627 

74  27 

72  21 

70  14 

20 

30 

8758 

8632 

85  02 

8330 

81  55 

80  15 

7832 

76  45 

74  53 

72  59 

71  01 

6859 

30 

40 

85  55 

84  31 

83  05 

81  37 

80  04 

78  30 

7651 

75  09 

73  23 

71  33 

69  41 

67  45 

40 

50 

8355 

8235 

81  12 

7946 

78  18 

7647 

75  12 

73  34 

71  53 

70  08 

68  20 

66  30 

50 

4     00 

81  57 

80  40 

79  21 

77  59 

76  34 

75  06 

73  35 

72  01 

70  24 

6845 

67  02 

65  15 

4     00 

10 

80  03 

78  49 

77  32 

76  13 

74  51 

73  27 

72  00 

70  30 

6857 

67  21 

65  43 

64  01 

10 

20 

78  12 

76  59 

75  46 

74  30 

73  II 

71  50 

70  26 

69  00 

67  30 

65  59 

64  24 

62  47 

20 

30 

76  22 

75  13 

74  02 

72  48 

71  31 

70  14 

6853 

67  31 

6605 

64  37 

63  05 

61  33 

30 

40 

74  35 

73  28 

72  19 

71  07 

69  54 

68  40 

67  22 

66  02 

64  40 

63  15 

61  47 

60  18 

40 

50 

72  49 

71  44 

7038 

69  29 

68  18 

67  06 

6551 

64  34 

63  15 

61  54 

60  30 

59  04 

50 

5     00 

71  04 

70  01 

6857 

67  51 

6642 

65  32 

64  20 

6306 

61  50 

60  32 

59  II 

57  49 

5     00 

10 

69  21 

68  20 

67  17 

66  14 

6508 

64  00 

62  51 

61  40 

60  26 

59  10 

57  53 

56  34 

10 

20 

6739 

66  40 

65  39 

6438 

63  33 

62  29 

61  22 

60  13 

59  02 

57  50 

56  35 

55  18 

20 

30 

6558 

65  00 

64  02 

63  03 

62  01 

60  57 

59  53 

5846 

57  39 

56  28 

55  16 

54  03 

30 

40 

64  17 

63  22 

62  25 

61  27 

60  27 

59  27 

58  24 

57  21 

56  15 

55  06 

53  57 

52  47 

40 

50 

6236 

61  44 

6048 

59  53 

5855 

57  57 

5656 

55  55 

5451 

53  46 

52  39 

51  31 

50 

6     00 

60  57 

6005 

59  " 

58  18 

57  23 

5626 

55  27 

54  29 

53  27 

52  24 

51  19 

50  14 

6     00 

10 

59  18 

5828 

57  57 

56  44 

55  51 

54  56 

53  59 

53  03 

52  03 

51  03 

50  00 

4858 

10 

20 

57  39 

5651 

56  02 

55  II 

54  19 

53  26 

52  32 

51  36 

50  39 

49  41 

48  41 

47  40 

20 

■  30 

56  01 

55  14 

54  27 

5338 

52  47 

51  55 

51  03 

50  10 

49  15 

48  19 

47  21 

46  22 

30 

40 

54  22 

53  37 

52  51 

52  04 

51  15 

50  26 

49  35 
48  07 

48  44 

47  51 

4656 

46  01 

45  04 

40 

50 

52  45 

52  01 

51  15 

5030 

49  43 

4855 

47  17 

46  26 

45  33 

44  40 

43  45 

50 

7     00 

5t  06 

50  23 

49  40 

48  56 

48  II 

47  25 

4638 

45  50 

45  01 

44  II 

43  19 

42  26 

7     00 

10 

49  27 

48  46 

48  04 

47  21 

46  39 

45  54 

45  09 

44  23 

43  36 

42  47 

41  57 

41  07 

10 

20 

47  49 

47  10 

46  29 

45  48 

45  07 

44  24 

43  40 

42  55 

42  10 

41  24 

40  36 

39  47 

20 

30 

46  II 

45  33 

44  54 

44  14 

43  34 

42  53 

42  10 

41  28 

40  44 

40  00 

39  14 

38  27 

30 

40 

44  32 

43  55 

43  18 

42  40 

42  01 

41  22 

40  41 

40  00 

39  18 

3835 

37  51 

37  07 

40 

50 

42  53 

42  17 

41  41 

41  05 

40  28 

39  50 

39  II 

38  32 

37  51 

37  10 

36  28 

35  46 

50 

8     00 

41  14 

4040 

40' 05 

39  30 

3854 

3818 

3741 

37  03 

36  25 

35  45 

35  04 

34  23 

8     00 

10 

39  34 

39  01 

3828 

37  55 

37  21 

3646 

36  10 

35  34 

34  57 

34  20 

33  41 

33  01 

10 

20 

37  54 

37  24 

36  51 

36  19 

35  47 

35  14 

34  40 

3405 

33  30 

32  54 

32  17 

31  39 

20 

30 

36  14 

35  44 

35  14 

34  43 

34  12 

33  40 

33  08 

32  36 

32  02 

31  27 

30  51 

30  16 

30 

40 

34  33 

34  05 

33  36 

3308 

3238 

32  07 

31  36 

31  05 

30  33 

30  00 

29  27 

28  53 

40 

50 

32  53 

32  26 

31  59 

31  31 

31  03 

30  34 

30  04 

29  35 

29  05 

2833 

28  01 

27  29 

50 

9     00 

31  12 

30  46 

30  20 

29  54 

29  27 

2859 

28  32 

28  03 

27  35 

27  05 

26  35 

26  04 

9     00 

10 

29  30 

29  06 

28  41 

28  17 

27  51 

27  26 

26  59 

26  33 

26  05 

25  37 

25  09 

24  40 

10 

20 

27  48 

27  25 

27  02 

26  39 

26  15 

2551 

25  26 

25  02 

24  35 

24  09 

23  42 

23  16 

20 

30 

26  06 

25  44 

25  23 

25  02 

2438 

24  16 

23  53 

23  30 

23  05 

22  40 

22  16 

21  51 

30 

40 

24  24 

24  04 

2343 

23  23 

23  01 

22  41 

22  19 

21  57 

21  34 

21  II 

20  48 

^S^^S 

40 

50 

22  41 

22  22 

22  03 

21  44 

21  24 

21  05 

20  44 

20  24 

20  03 

19  42 

19  20 

i8  58 

50 

10     00 

20  58 

^^ 

20  23 

20  06 

19  47 

19  29 

19  II 

18  52 

1833 

18  13 

17  52 

17  33 

10     00 

10 

19  14 

18  42 

18  25 

18  09 

17  52 

17  36 

17  18 

17  00 

16  42 

16  25 

16  05 

10 

20 

17  30 

17  16 

17  01 

16  47 

16  31 

16  16 

16  c» 

15  45 

15  29 

15  12 

14  56 

14  39 

20 

30 

15  46 

15  33 

15  20 

15  07 

14  53 

14  40 

14  26 

14  12 

13  57 

13  42 

13  27 

13  12 

30 

40 

14  02 

13  50 

13  38 

13  26 

13  15 

13  02 

12  49 

12  37 

12  24 

12  II 

II  58 

II  44 

40 

50 

12  17 

12  06 

II  56 

II  46 

II  35 

II  25 

II  14 

II  03 

10  52 

10  41 

10  29 

10  17 

50 

11     00 

10  31 

10  24 

10  15 

10  06 

9  56 

9  47 

938 

9  29 

9  19 

9  09 

859 

8  49 

11     00 

10 

8  47 

8  40 

832 

825 

8  17 

8  10 

8  02 

7  55 

746 

738 

7  30 

7  22 

10 

20 

7  01 

656 

6  50 

6  45 

6  39 

632 

6  26 

6  19 

613 

6  06 

6  00 

5  53 

20 

30 

51^ 

5  12 

507 

5  03 

4  59 

4  54 

4  50 

4  44 

4  40 

4  35 

4  30 

4  25 

30 

40 

3  31 

328 

3  25 

3  22 

3  19 

3  16 

3  13 

3  10 

307 

3  04 

3  00 

^57 

40 

50 

I  45 

I  44 

I  42 

I  41 

I  39 

I  38 

I  36 

I  35 

I  33 

I  32 

I  30 

1  28 

50 

12     00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  honr  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


248 


AZIMUTH    OR   TRUE    BEARING. 


i^atitude:  60°. 

DECLINATION-SAME  NAME  AS— 

LATITUDE. 

liATlTUDE  60°. 

i 

Honr 

Angl«. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

h. 

m. 

O  1 

0  / 

0  / 

0  f 

0  / 

0  r 

0  / 

0  / 

0  > 

0  / 

0  / 

h.   '  ni. 

O 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

10 

"ss'ss 

49  50 

30  07 

20  36 

15  16 

II  53 

936 

7  57 

6  40 

5  42 

4  54 

10 

20 

87  50 

<55  44 

48  19 

36  19 

28  13 

22  35 

18  31 

15  27 

13  06 

II  12 

9  40 

20 

30 

8645 

71  36 

5756 

46  46 

38  05 

31  25 

26  16 

22  14 

19  00 

16  23 

14  13 

30 

40 

85  40 

74  12 

66  20 

53  31 

45  14 

38  21 

32  44 

28  07 

24  17 

21  07 

18  26 

40 

50 

8435 

75  22 

57  54 

50  18 

43  40 

37  57 

33  03 

28  54 

25  20 

22  16 

50 

1 

OO 

83  30 

7548 

68  08 

60  47 

53  55 

47  40 

42  05 

37  10 

32  50 

29  03 

^§  43 

1     00 

lO 

82  24 

75  48 

69  10 

62  41 

5628 

50  41 

45  21 

40  30 

36  09 

32  15 

28  46 

10 

20 

81  19 

75  33 

69  42 

63  54 

58  17 

52  55 

47  53 

43  12 

38  54 

34  59 

31  25 

20 

30 

80  14 

75  06 

69  53 

64  40 

59  33 

54  35 

49  50 

45  22 

41  10 

37  18 

33  42 

30 

40 

79  08 

74  29 

69  48 

65  04 

60  23 

55  47 

51  21 

47  04 

43  02 

39  14 

35  40 

40 

50 

78  02 

73  50 

69  33 

65  14 

60  54 

5638 

52  27 

48  25 

44  32 

40  50 

37  19 

50 

2 

OO 

7656 

73  05 

69  09 
68  40 

65  II 

61  II 

57  12 

53  16 

49  26 

45  43 

42  09 

38  43 

2     00 

lO 

75  50 

72  17 

64  59 

61  16 

57  33 

53  50 

50  12 

.  46  39 

43  12 

39  52 

10 

20 

74  44 

71  26 

68  04 

64  39 

61  10 

57  41 

54  12 

5045 

47  21 

44  02 

40  48 

20 

30 

73  37 

70  33 

67  25 

64  12 

6057 

57  41 

54  23 

51  07 

47  52 

44  41 

41  33 

30 

40 

72  30 

6938 

66  41 

63  41 

6038 

57  33 

54  25 

51  20 

4?  ^ 

45  10 

42  09 

40 

50 

71  23 

68  41 

6556 

63  06 

60  13 

57  18 

54  21 

51  24 

48  26 

45  30 

42  35 

50 

3 

OO 

70  16 

67  44 

65  07 

62  27 

59  44 

5658 

54  10 

51  21 

48  31 

45  42 

42  53 

3     00 

lO 

69  08 

6645 

64  16 

61  45 

59  10 

56  33 

53  53 

51  12 

48  29 

45  47 

43  04 

10 

20 

68  01 

65  44 

63  23 

61  00 

58  33 

56  04 

53  31 

5058 

48  21 

45  46 

4308 

20 

30 

6653 

64  43 

62  30 

60  13 

57  53 

55  30 

53  06 

50  39 

48  09 

45  39 

43  08 

30 

40 

65  44 

63  40 

61  34 

59  24 

57  10 

54  55 

52  36 

50  15 

47  52 

45  29 

43  02 

40 

50 

64  35 

62  38 

60  37 

58  33 

56  25 

54  16 

52  03 

49  48 

47  30 

45  13 

42  52 

50 

4 

OO 

6326 

61  34 

5938 

57  40 

55  39 

53  34 

51  27 

49  18 

47  06 

44  53 

42  37 

4     00 

lO 

62  17 

60  29 

58  38 

56  45 

-  54  49 

52  50 

50  49 

48  45 

4638 

44  30 

42  20 

10 

20 

61  07 

59  23 

57  38 

55  50 

53  59 

52  04 
51  16 

50  08 

48  09 

46  06 

44  04 

41  58 

20 

30 

59  57 

58  18 

56  37 

54  52 

53  06 

49  25 

47  30 

45  33 

43  35 

41  33 

30 

40 

5846 

57  12 

55  34 

53  54 

•52  12 

50  27 

48  39 

46  50 

44  57 

43  03 

41  05 

40 

50 

57  35 

56  04 

54  31 

52  55 

51  17 

49  35 

47  52 

46  07 

44  18 

42  29 

4035 

50 

5 

OO 

56  24 

54  57 

53  27 

51  55 

50  20 

48  43 

47  03 

45  21 

43  37 

41  52 

40  02 

5     00 

lO 

55  12 

5348 

52  22 

50  53 

49  23 

47  49 

46  13 

44  35 

42  54 

41  13 

39  27 

10 

20 

54  00 

52  39 

51  16 

49  51 

48  23 

46  54 

45  22 

43  47 

42  10 

40  32 

3849 

20 

30 

52  47 

51  30 

50  09 

48  47 

47  23 

45  57 

44  28 

42  57 

41  24 

39  49 

38  II 

30 

40 

51  34 

50  19 

49  02 

47  43 

46  22 

44  59 

43  34 

42  05 

40  36 

^2°i 

37  30 

40 

50 

50  21 

49  08 

47  55 

46  38 

45  21 

44  01 

42  38 

41  14 

39  47 

38  18 

36  47 

50 

6 

OO 

49  07 

47  57 

46  45 

45  33 

44  17 

43  00 

41  40 

40  20 

3856 

37  31 

36  03 

6     00 

lO 

47  52 

46  45 

45  37 

44  26 

43  14 

41  59 

40  43 

39  24 

38  04 

3642 

35  17 

10 

20 

46  37 

45  33 

44  27 

43  19 

42  09 

40  58 

39  44 

38  29 

37  II 

35  52 

34  30 

20 

30 

45  22 

44  20 

43  15 

42  II 

41  03 

39  55 

38  44 

37  31 

36  16 

35  00 

33  42 

30 

40 

44  06 

43  06 

42  04 

41  02 

39  57 
3851 

38  51 

37  43 

36  33 

35  21 

3408 

32  52 

40 

50 

42  50 

41  52 

40  53 

39  53 

37  47 

36  41 

35  34 

34  24 

33  13 

32  01 

50 

7 

OO 

41  33 

40  37 

39  40 

3842 

37  43 

36  41 

35  39 

34  34 

33  27 

32  19 

31  09 

7     00 

lO 

40  15 

39  22 

38  27 

37  32 

36  34 

35  35 

34  35 

33  32 

32  29 

31  23 

30  16 

10 

20 

3857 

3806 

37  13 

36  20 

35  25 

34  29 

33  30 

32  31 

31  30 

30  27 

29  22 

20  { 

30 

37  39 

36  50 

35  59 

35  08 

34  15 

33  21 

32  26 

31  29 

30  29 

29  29 

28  27 

30 

40 

36  21 

35  33 

34  45 

33  56 

33  05 

32  13 

31  20 

30  25 

29  29 

28  31 

27  31 

40 

50 

35  01 

34  16 

33  30 

32  43 

31  54 

31  04 

'  30  13 

29  21 

28  26 

27  31 

26  34 

60 

8 

OO 

33  41 

32  58 

32  14 

31  29 

30  43 

29  55 

29  06 

28  16 

27  24 

26  31 

25  37 

8    do 

10 

32  21 

31  41 

3058 

30  15 

29  30 

28  45 

27  58 

27  10 

26  21 

25  30 

2438 

10 

20 

31  01 

30  21 

29  41 

29  00 

28  17 

27  34 

26  50 

26  04 

25  17 

24  29 

23  39 

20 
30 
40 
50 

30 

29  40 

29  02 

28  24 

27  45 

27  04 

26  23 

25  41 

24  57 

24  12 

23  27 

22  38 

40 

28  18 

27  43 

27  06 

26  29 

25  51 

25  12 

24  31 

23  50 

23  07 

22  24 

21  38 

50 

2656 

26  22 

2548 

25  13 

24  37 

23  59 

23  21 

22  41 

22  02 

21  20 

20  38 

8 

OO 

25  34 

25  02 

24  29 

23  56 

23  21 

22  46 

22  10 

21  33 

20  55 

20  16 

19  35 

9     00 
10 
20 

10 

24  II 

23  40 

23  10 

22  39 

22  06 

21  33 

20  59 

20  24 

19  48 

19  12 

18  33 

20 

22  48 

22  20 

21  51 

21  21 

20  51 

20  20 

19  48 

19  15 

18  41 

18  06 

17  30 

30 

21  24 

20  57 

20  31 

20  03 

19  34 

19  06 

1836 

18  04 

17  32 

17  01 

16  28 

30 
40 
50 

40 

20  00 

1936 

19  10 

18  44 

18  17 

17  51 

17  23 

16  55 

16  25 

15  55 

15  24 

50 

1836 

18  13 

17  50 

17  26 

17  02 

1636 

16  10 

15  43 

15  17 

14  49 

14  20 

lO 

OO 

17  12 

16  51 

16  29 

16  06 

15  44 

15  21 

14  57 

14  32 

14  07 

13  41 

13  15 

10   00 

10 
20 
30 
40 
50 

lO 

15  47 

15  27 

15  08 

14  47 

14  27 

14  06 

13  43 

13  21 

12  57 

12  34 

12  og 

20 

14  22 

14  04 

13  46 

13  27 

13  08 

12  49 

12  29 

12  09 

II  48 

II  27 

II  05 

30 

12  56 

12  40 

12  24 

12  07 

11  50 

II  33 

II  15 

10  57 

10  38 

10  19 

9  59 

40 

II  31 

II  16 

II  02 

10  48 

10  32 

10  17 

10  01 

9  45 

9  28 

9  II 

»  53 

50 

10  05 

9  52 

9  40 

9  27 

9  14 

9  00 

8  46 

8  32 

8  18 

8  03 

7  47 

11 

00 

8  39 

8  28 

8  17 

8  06 

7  54 

7  43 

7  32 

7  19 

7  07 

654 

641 

11  00 
10 
20 
30 
40 
50 

12  00 

lO 

7  12 

7  03 

6  54 

6  45 

636 

6  27 

6  17 

6  06 

556 

5  45 

5  34 

20 

5  46 

5  39 

5  32 

5  24 

5  17 

5  10 

5  01 

4  54 

4  45 

4  36 

4  28 

30 

4  20 

■4  14 

4  09 

4  04 

3  57 

3  52 

3  46 

3  40 

3  34 

3  27 

3  21 

40 

2  53 

2  49 

2  46 

2  43 

2  39 

2  35 

2  31 

2  26 

2  22 

2  19 

2  14 

50 

I  27 

I  25 

I  23 

I  21 

I  19 

I  17 

I  15 

I  13 

I  II 

I  09 

I  07 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

In  North  latitude,  -when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
■when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


249 


AZIMUTH    OR    TRUE    BEARING. 


1,ATITUDE  61<^. 

DECLINATION— SAME  NAME  AS— LATITUDE. 

I.ATITUDE  61°. 

Hour  Angle. 

a4o 

a5° 

a6° 

a7° 

a8° 

a9° 

30° 

31° 

38° 

33° 

34° 

35° 

Hour  Angle. 

b.    m. 

o  / 

0  ./ 

0  / 

0  / 

0  / 

0  / 

0  r 

0  / 

0  ' 

0  ' 

0  / 

li.    m. 

O     OO 

i8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

176  13 

176  09 

176  05 

176  01 

175  57 

175  53 

175  48 

175  43 

175  38 

175  32 

175  26 

175  20 

10 

ao 

172  25 

172 18 

172  II 

172  03 

171 55 

171 47 

171  37 

171  27 

171  17 

171  06 

170  54 

170  42 

ao 

30 

168  41 

16S  30 

168  18 

168  06 

167  54 

167  41 

167  28 

167  13 

166  58 

166  42 

166  25 

166  06 

30 

40 

164  57 

164  43 

164  28 

164  13 

163  57 

163  40 

163  22 

163  03 

162  44 

162  23 

161  59 

161  36 

40 

50 

161  15 

160  59 

160  41 

160  22 

160  02 

159  42 

159  20 

158  57 

158  33 

158  08 

157  40 

157  10 

50 

1     OO 

157  39 

157 18 

156  57 

156  35 

156  12 

155  48 

155  23 

154  56 

154  28 

15358 

153  27 

152  53 

1   00 

lO 

154  04 

153  41 

153  18 

152  53 

152  27 

151  59 

151  31 

151  01 

150  29 

149  56 

149  20 

148  42 

10 

ao 

150  33 

150  09 

149  43 

149  15 

148  46 

148  17 

147  45 

147  12 

146  36 

146  00 

145  21 

144  40 

20 

30 

147  08 

146  41 

146  12 

145  42 

145 II 

144  39 

144  05 

143  28 

142  51 

142  12 

141  29 

140  45 

30 

40 

143  46 

143 17 

142  45 

142  14 

141 41 

141 06 

140  30 

139  52 

139  12 

138  31 

137  46 

137  00 

40 

50 

140  30 

139  59 

139  26 

13852 

138  17 

137  41 

137  03 

136  22 

135  41 

134  57 

134  II 

133  23 

50 

a   oo 

137  18 

136  44 

136  10 

135  35 

134  59 

134  21 

133  41 

132  59 

132  16 

131  31 

130  43 

129  53 

a   00 

lO 

134  10 

133  36 

133  00 

132  24 

131  46 

131  07 

130  26 

129  43 

128  59 

128  12 

127  23 

126  33 

10 

ao 

131  08 

130  32 

129  55 

129  18 

128  39 

127  58 

127  17 

126  33 

125  47 

125  00 

124  10 

123  19 

ao 

30 

128  08 

127  32 

126  55 

126  17 

125 .37 

124  56 

124  13 

123  29 

122  43 

121  55 

121  04 

120  12 

30 

40 

125  15 

124  38 

124  00 

123  20 

122  40 

121 58 

121  15 

120  30 

119  44 

118  56 

118  05 

117  13 

40 

50 

122  26 

121  48 

121  09 

120  30 

119  49 

119  06 

118  23 

117  37 

116  50 

116  03 

115  12 

114  20 

50 

3     OO 

119  40 

119  01 

118  22 

117  42 

117  01 

116  19 

115  35 

114  49 

114  02 

113  14 

112  24 

III  32 

3   00 

lO 

116  58 

116 19 

115  40 

114  59 

114  18 

113  36 

112  52 

112  06 

III  20 

no  31 

109  41 

108  50 

10 

ao 

114  19 

113  42 

113  02 

112  21 

III  40 

no  57 

no  13 

109  28 

108  4^ 

107  54 

107  04 

106  12 

ao 

30 

III  46 

III  06 

no  27 

109  46 

109  05 

108  23 

107  39 

106  54 

106  08 

105  21 

104  31 

103  40 

30 

40 

109  14 

108  36 

107  56 

107  15 

106  34 

105  52 

105  09 

104  23 

103  37 

102  51 

102  02 

loi  13 

40 

50 

106  46 

106  07 

105  28 

104  47 

104  06 

103  24 

102  42 

loi  57 

loi  12 

100  25 

99  37 

98  47 

50 

4     OO 

104  22 

103  43 

103  04 

102  23 

loi  43 

loi  00 

ICO  18 

99  34 

98  49 

98  03 

97  16 

96  27 

4   00 

lO 

lOI  58 

loi  20 

100  41 

100  01 

99  20 

9840 

97  57 

97  13 

96  29 

95  43 

94  57 

94  09 

10 

ao 

99  38 

99  00 

98  21 

97  42 

97  01 

96  20 

95  39 

94  56 

94  12 

9328 

92  42 

91  54 

ao 

30 

97  20 

96  43 

96  04 

95  24 

94  45 

94  04 

93  23 

92  41 

8946 

91  14 

90  29 

8943 

30 

40 

95  04 

94  27 

93  48 

93  10 

92  31 

91  51 

91  10 

90  28 

89  03 

88  18 

8733 

40 

-  50 

92  50 

92  13 

91  36 

90  58 

90  19 

89  40 

89  00 

88  18 

8736 

8654 

86  10 

8525 

50 

5     OO 

90  37 

90  01 

89  23 

88  46 

88  08 

87  29 

86  49 

86  09 

85  28 

84  46 

84  04 

83  20 

5   00 

lO 

88  26 

87  51 

87  14 

86  36 

85  59 

85  20 

84  41 

84  02 

8-?  22 

82  41 

81  59 

81  15 

10 

ao 

86  17 

85  42 

85  05 

84  28 

83  51 

83  14 

82  36 

81  56 

81  16 

80  36 

79  55 

79  13 

ao 

30 

84  08 

83  34 

82  58 

82  22 

81  45 

81  08 

80  31. 

79  52 

79  13 

7833 

77  53 

77  II 

30 

40 

82  02 

81  26 

80  51 

80  16 

79  40 

79  03 

78  26 

77  48 

77  10 

76  32 

75  53 

75  12 

40 

50 

79  56 

79  21 

78  47 

78  II 

77  36 

77  00 

76  24 

75  47 

75  09 

7432 

73  53 

73  13 

50 

6     OO 

77  49 

77  15 

76  42 

76  07 

75  33 

7458 

74  22 

73  45 

7308 

72  32 

71  54 

71  15 

6   00 

lO 

75  43 

75  II 

74  37 

74  03 

73  30 

72  55 

72  20 

71  45 

71  09 

70  32 

^  55 

69  17 

10 

ao 

73  41 

73  07 

72  35 

72  01 

71  28 

70  54 

70  20 

69  45 

69  10 

6835 

6758 

67  21 

ao 

30 

71  36 

71  04 

70  32 

69  59 

69  26 

68  52 

68  19 

67  45 

67  II 

66  36 

66  01 

65  25 

30 

40 

6931 

69  00 

68  29 

67  57 

67  25 

6652 

66  19 

65  46 

65  12 

6438 

64  04 

63  29 

40 

50 

67  28 

6657 

66  26 

65  55 

65  23 

64  51 

64  20 

63  47 

63  14 

62  42 

62  08 

61  34 

50 

7           OO 

65  25 

64  54 

64  24 

63  53 

63  22 

62  51 

62  20 

61  48 

61  17 

60  44 

60  12 

59  38 

7       00 

10 

63  20 

62  51 

62  21 

61  51 

61  22 

60  51 

60  21 

59  50 

59  18 

58  47 

58  15 

57  43 

10 

ao 

61  16 

60  48 

60  19 

59  50 

59  21 

5851 

58  22 

57  51 

57  20 

56  50 

56  19 

55  48 

ao 

30 

59  13 

5845 

58  17 

5748 

57  20 

56  51 

56  22 

55  53 

55  23 

54  53 

54  23 

53  53 

30 

40 

5708 

5641 

56  14 

55  46 

55  18 

54  50 

54  22 

53  53 

53  25 

52  56 

52  27 

51  57 

40 

50 

55  04 

54  37 

54  10 

53  44 

53  17 

52  49 

52  22 

51  54 

51  27 

50  59 

50  31 

50  01 

50 

8     OO 

52  58 

52  33 

52  06 

51  40 

51  15 

50  48 

50  22 

49  55 

49  29 

49  01 

48  34 

48  06 

8   00 

lO 

50  53 

50  28 

50  04 

49  38 

49  12 

48  47 

48  22 

47  55 

47  30 

47  04 

46  37 

46  10 

10 

ao 

48  48 

48  23 

47  59 

47  35 

47  10 

46  45 

46  20 

45  56 

45  30 

45  06 

44  40 

44  16 

ao 

30 

46  41 

46  17 

45  54 

45  30 

45  07 

44  43 

44  19 

43  56 

43  31 

43  07 

42  42 

42  18 

30 

40 

44  34 

44  II 

43  48 

43  26 

43  03 

42  40 

42  18 

41  54 

41  32 

41  08 

40  44 

40  21 

40 

50 

42  25 

42  04 

41  42 

41  20 

40  59 

40  37 

40  15 

39  53 

39  31 

39  09 

38  47 

38  24 

50 

9     OO 

40  18 

39  57 

39  35 

39  14 

38  54 

3833 

38  12 

37  51 

37  30 

37  10 

36  48 

36  26 

9   :oo 

lO 

38  08 

37  48 

37  28 

37  09 

3648 

3628 

36  09 

35  49 

35  28 

35  oS 

34  48 

34  28 

10 

ao 

35  58 

35  40 

35  21 

35  02 

34  43 

34  24 

34  05 

33  46 

33  26 

3308 

32  49 

32  30 

20 

30 

3348 

33  30 

33  12 

32  54 

32  36 

32  18 

32  00 

31  42 

31  24 

31  07 

3?  48 

30  31 

30 

40 

31  36 

31  19 

31  03 

30  46 

30  29 

30  12 

29  55 

2938 

29  22 

29  05 

28  48 

28  31 

40 

50 

29  24 

29  08 

28  52 

28  37 

28  21 

28  06 

27  50 

27  34 

27  18 

27  03 

26  47 

26  31 

50 

lo   oo 

27  12 

26  57 

26  42 

26  28 

26  13 

25  59 

25  44 

25  29 

25  15 

25  00 

24  45 

24  30 

10   00 

lO 

24  58 

24  44 

24  31 

24  18 

24  04 

23  51 

23  38 

23  24 

23  10 

22  57 

22  43 

22  29 

10 

ao 

22  44 

22  32 

22  20 

22  07 

21  55 

21  43 

21  31 

21  18 

21  06 

20  54 

20  41 

20  28 

ao 

30 

20  30 

20  iS 

20  08 

19  56 

19  45 

19  34 

19  23 

19  II 

19  00 

18  49 

18  38 

18  27 

30 

40 

18  14 

18  05 

17  55 

17  45 

17  35 

17  25 

17  15 

17  05 

16  54 

16  45 

16  34 

16  25 

40 

50 

15  59 

15  50 

15  41 

15  33 

15  24 

15  15 

15  06 

14  58 

14  49 

14  41 

14  32 

14  23 

50 

11   oo 

13  43 

13  35 

13  27 

13  20 

13  12 

13  05 

12  57 

12  50 

12  43 

12  35 

12  27 

12  20 

11   00 

lO 

II  26 

II  20 

II  14 

II  07 

II  01 

10  55 

10  i}9 

ID  42 

10  36 

10  29 

10  23 

10  17 

10 

ao 

9  09 

9  04 

9  00 

8  54 

849 

844 

8  40 

834 

8  29 

8  24 

8  19 

8  14 

ao 

30 

S52 

6  48 

6  44 

6  41 

637 

633 

6  30 

6  26 

6  22 

6  18 

6  14 

6  II 

30 

40 

4  35 

4  32 

4  30 

4  27 

4  25 

4  22 

4  20 

4  17 

4  '§ 

4  13 

4  10 

4  07 

40 

50 

2  18 

2  17 

2  15 

2  13 

2  12 

2  II 

2  10 

2  09 

2  08 

2  07 

2  05 

2  03 

50 

la   oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

0  00 

0  00 

0  00 

12   00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


250 


AZIMUTH  OR  TRUE   BEARING. 


liATITUDE  61°. 

DECLINATION- 

-SAME  NAME  AS— I^ATITUDE. 

1.ATITUJBE  61°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

46° 

46° 

47° 

Hour  Angle. 

Ii. 

111. 

o  / 

0  / 

0  1 

0  ' 

0  ' 

0  ' 

0  ' 

0  ' 

0  1 

0  / 

0  / 

0  1 

li.    ni. 

o 

00 

i8o  OO 

180  00 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0     00 

lO 

175  13 

175  06 

174  58 

174  49 

174  40 

174  30 

174  18 

174  05 

173  52 

173  36 

173  18 

172  59 

10 

20 

170  28 

170  13 

169  58 

169  41 

169  22 

169  03 

168  40 

168  15 

167  47 

167  18 

166  43 

166  04 

20 

30 

165  46 

165  25 

165  02 

164  37 

164  :o 

163  40 

163  08 

162  32 

161  53 

161  10 

160  20 

159  25 

30 

40 

161  10 

160  42 

160  13 

159  40 

159  05 

158  27 

157  46 

157  00 

156  10 

155  15 

154  13 

153  02 

40 

50 

156  40 

156  06 

155  31 

154  52 

154  10 

153  25 

152  35 

151  41 

150  42 

149  37 

148  24 

147  03 

50 

1 

OO 

152  17 

151  39 

150  58 

150  13 

149  25 

148  34 

147  38 

146  37 

145  30 

144  17 

142  56 

141  28 

1     00 

10 

148  02 

147  20 

146  34 

145  44 

144  52 

143  56 

142  54 

141  48 

140  36 

139  17 

137  50 

136  16 

10 

20 

143  56 

143  10 

142  21 

141  27 

140  30 

139  30 

138  25 

137  15 

135  58 

134  36 

133  05 

131  27 

20 

30 

139  58 

139  09 

138  18 

137  20 

136  21 

135  18 

134  09 

132  55 

131  37 

130  II 

128  37 

126  58 

30 

40 

136  II 

135  20 

134  24 

133  25 

132  24 

131  18 

130  07 

128  52 

127  31 

126  04 

124  31 

122  50 

40 

50 

132  32 

131  38 

130  42 

129  41 

128  38 

127  30 

126  19 

125  02 

123  41 

122  13 

120  40 

119  00 

50 

2 

OO 

129  01 

128  06 

127  08 

126  06 

125  03 

123  54 

122  42 

121  25 

12003 

118  36 

117  04 

115  25 

2     00 

lO 

125  39 

124  43 

123  44 

122  42 

121  37 

120  29 

119  17 

118  00 

116  38 

115  12 

113  40 

112  04 

10 

20 

122  24 

121  29 

120  30 

119  27 

118  22 

117  14 

116  01 

114  45 

113  24 

112  00 

no  30 

10855 

20 

30 

119  18 

118  21 

117  23 

116  19 

115  15 

114  07 

112  56 

III  40 

no  21 

108  57 

107  30 

105  57 

30 

40 

116  18 

115  22 

114  23 

113  20 

112  16 

III  09 

109  58 

108  44 

107  25 

106  05 

104  39 

103  08 

40 

50 

"3  25 

112  29 

III  31 

no  28 

109  25 

108  19 

107  08 

105  56 

104  39 

103  19 

10 1  56 

100  29 

50 

a 

OO 

no  37 

109  42 

loS  44 

107  43 

106  40 

105  34 

104  26 

103  15 

102  00 

100  43 

99  21 

97  57 

3     00 

lO 

107  56 

107  01 

106  03 

105  03 

104  01 

102  56 

loi  49 

100  39 

99  26 

98  II 

96  52 

95  30 

10 

20 

105  19 

104  25 

103  29 

^02  29 

loi  28 

100  25 

99  19 

9S  II 

9659 

95  47 

94  29 

93  09 

20 

30 

102  48 

loi  54 

100  58 

100  00 

99  00 

97  57 

96  54 

95  47 

94  38 

93  26 

92  II 

90  54 

30 

40 

100  20 

99  27 

9832 

97  34 

9636 

95  35 

94  32 

93  28 

92  20 

91  II 

8958 

88  43 

40 

50 

97  56 

97  04 

96  10 

95  14 

94  16 

93  17 

92  17 

91  13 

90  07 

8859 

8749 

8636 

50 

4 

OO 

95  37 

94  45 

93  52 

92  58 

92  02 

91  04 

90  03 

89  01 

8758 

8652 

85  44 

84  33 

4     00 

lO 

93  19 

92  30 

91  37 

90  43 

8948 

8852 

87  53 

8653 

85  50 

84  47 

83  41 

82  33 

10 

20 

91  05 

90  16 

89  26 

88  33 

87  39 

8644 

85  47 

84  48 

8348 

82  46 

81  41 

80  35 

20 

30 

8855 

88  07 

87  17 

86  24 

85  32 

84  38 

83  43 

82  45 

.81  47 

80  46 

79  44 

78  40 

30 

40 

8645 

8558 

85  10 

84  19 

S3  28 

82  36 

81  42 

80  46 

79  49 

78  50 

77  49 

76  47 

40 

50 

8439 

8353 

8305 

82  15 

81  25 

80  34 

79  42 

78  48 

77  52 

76  55 

75  56 

74  56 

50 

5 

OO 

82  34 

81  49 

81  02 

80  14 

79  25 

7835 

77  44 

76  50 

75  57 

75  01 

74  05 

73  06 

5     00 

10 

80  32 

79  47 

79  01 

78  14 

77  26 

76  37 

7548 

74  56 

74  03 

73  09 

72  14 

71  17 

10 

20 

78  30 

77  47 

77  02 

76  16 

75  29 

74  42 

73  53 

73  03 

72  n 

71  19 

70  25 

69  31 

20 

30 

76  29 

75  47 

75  03 

74  18 

73  33 

72  47 

71  59 

71  10 

70  21 

69  30 

68  38 

67  44 

30 

40 

74  30 

73  49 

73  06 

72  22 

71  39 

70  53 

70  07 

69  20 

6832 

67  42 

6651 

65  59 

40 

50 

72  32 

71  52 

71  II 

70  28 

69  45 

69  01 

68  16 

67  30 

66  43 

65  55 

65  07 

64  17 

50 

0 

OO 

K  35 

6956 

69  16 

6834 

67  52 

67  09 

6625 

65  40 

64  55 

64  08 

63  21 

62  32 

6     00 

10 

6839 

68  01 

67  21 

66  40 

65  59 

65  18 

64  35 

63  51 

63  07 

62  22 

61  36 

60  49 

10 

20  • 

66  44 

66  06 

65  28 

64  48 

64  09 

6328 

62  46 

62  04 

61  21 

60  37 

59  52 

59  07 

20 

30 

64  48 

64  II 

63  34 

62  55 

62  17 

61  37 

60  57 

60  16 

59  34 

58  52 

58  09 

57  24 

30 

40 

62  53 

62  18 

61  41 

61  03 

60  26 

5948 

59  09 

58  27 

57  48 

57  07 

56  25 

55  42 

40 

50 

60  59 

60  24 

59  49 

59  12 

5836 

5758 

57  21 

56  42 

56  03 

55  23 

54  42 

54  00 

60 

7 

OO 

59  05 

5830 

57  56 

57  21 

56  46 

56  09 

55  32 

54  55 

54  17 

53  39 

52  59 

52  18 

7     00 

lO 

57  10 

56  37 

56  04 

55  29 

54  55 

54  20 

53  44 

53  08 

52  31 

.  51  54 

51  15 

50  37 

10 

20 

55  16 

54  44 

54  12 

53  38 

53  05 

52  31 

51  57 

51  21 

50  46 

50  10 

49  33 

48  56 

20 

30 

53  22 

52  52 

52  20 

51  47 

51  15 

50  43 

50  09 

49  35 

49  00 

48  26 

47  51 

47  14 

30 

40 

51  27 

50  58 

50  27 

49  56 

49  25 

4853 

48  21 

47  49 

47  15 

46  42 

46  07 

45  32 

40 

50 

49  34 

49  04 

4835 

48  05 

47  35 

47  04 

46  33 

46  02 

45  29 

44  57 

44  24 

43  50 

50 

8 

OO 

47  39 

47  10 

46  42 

46  12 

45  43 

45  14 

44  44 

44  14 

43  43 

43  12 

42  40 

42  09 

8     00 

10 

45  43 

45  17 

44  50 

44  21 

43  54 

43  26 

42  57 

42  27 

41  57 

41  28 

40  57 

40  26 

10 

20 

43  49 

43  23 

42  57 

42  29 

42  03 

41  36 

41  08 

40  39 

40  II 

39  43 

39  13 

38  44 

20 

30 

41  53 

41  28 

41  03 

40  37 

40  12 

39  45 

39  19 

38  52 

38  25 

37  57 

37  30 

37  01 

30 

40 

39  58 

39  33 

39  09 

38  44 

38  20 

37  55 

37  30 

37  03 

3638 

36  12 

35  45 

35  18 

40 

50 

38  01 

37  39 

37  16 

37  52 

36  28 

36  05 

35  40 

35  16 

34  51 

34  26 

34  00 

33  35 

50 

9 

OO 

36  04 

35  43 

35  21 

34  58 

34  36 

34  13 

33  50 

33  26 

33  03 

32  39 

32  16 

31  51 

9     00 

lO 

34  07 

33  47 

33  25 

33  04 

32  43 

32  21 

32  00 

31  38 

31  15 

30  53 

30  30 

30  06 

10 

20 

32  10 

31  50 

31  31 

31  10 

30  50 

32  30 

30  10 

29  48 

29  27 

29  07 

28  45 

28  21, 

20 

30 

30  12 

29  53 

29  35 

29  15 

2857 

28  38 

28  19 

27  59 

27  39 

27  20 

26  59 

26  39 

30 

40 

28  13 

27  56 

27  39 

27  21 

27  03 

26  45 

26  27 

26  09 

25  50 

25  31 

25  12 

24  53 

40 

50 

26  15 

25  59 

25  42 

25  26 

25  08 

24  52 

24  35 

24  18 

24  01 

23  43 

23  26 

23  09 

50 

10 

OO 

24  15 

24  00 

23  45 

23  30 

23  14 

23  00 

22  44 

22  28 

22  II 

21  56 

21  39 

21  23 

10     00 

lO 

22  15 

22  02 

21  48 

21  33 

21  20 

21  05 

20  51 

20  36 

20  22 

20  07 

19  52 

19  37 

10 

20 

20  15 

20  03 

19  51 

19  38 

19  25 

19  12 

1859 

18  46 

18  32 

18  19 

18  05 

17  51 

20 

30 

18  15 

18  03 

17  53 

17  41 

17  30 

17  18 

17  06 

16  54 

16  42 

16  30 

16  17 

16  05 

30 

40 

16  15 

16  04 

15  54 

15  43 

15  34 

15  23 

15  13 

15  02 

14  51 

14  40 

14  29 

14  18 

40 

50 

14  14 

14.05 

13  55 

13  46 

13  38 

13  28 

13  19 

13  09 

12  59 

12  50 

12  41 

12  32 

60 

11 

OO 

12  12 

12  05 

II  57 

II  48 

II  40 

II  33 

II  25 

II  17 

II  09 

II  01 

10  53 

10  44 

11     00 

10 

10  TO 

10  04 

958 

941 

9  45 

938 

9  32 

9  25 

9  17 

9  II 

9  05 

857 

10 

20 

8  08 

8  03 

758 

7  53 

7  48 

7  43 

738 

7  32 

726 

7  22 

7  16 

7  10 

20 

30 

6  07 

6  02 

5  59 

5  55 

5  51 

5  47 

5  43 

5  39 

5  35 

5  31 

526 

5  23 

30 

40 

4  04 

4  02 

3  59 

3  57 

3  54 

3  52 

3  49 

3  46 

3  44 

3  41 

338 

40 

SO 

2  03 

2  01 

I  59 

158 

I  57 

I  56 

I  55 

I  53 

I  51 

I  50 

I  49 

I  48 

SO 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hou'-  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


251 


AZIMUTH  OR  TRUE  BEARING. 


I.ATITUUE  61°. 

DECIvINATION- 

-SAME  NAME  AS— I^ATITUDE. 

liATITUDE!  61°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

ll. 

lu. 

o  / 

0  1 

0  / 

0  / 

0  1 

0  ' 

0  ' 

0  / 

0  ' 

0  / 

0  / 

0  / 

b..    m. 

O 

OO 

iSo  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

172  36 

172  08 

171  37 

171  00 

170  13 

169  17 

168  05 

166  28 

164  17 

161  05 

155  59 

146  54 

10 

20 

165  20 

164  28 

163  28 

162  16 

160  49 

159  05 

156  52 

154  02 

150  15 

145  04 

137  36 

126  28 

20 

30 

158  21 

15708 

155  44 

154  05 

152  07 

149  45 

146  52 

143  15 

138  40 

132  45 

124  58 

114  47 

30 

40 

151  44 

150  14 

148  31 

146  31 

144  12 

141  28 

138  10 

134  13 

129  23 

123  28 

116  12 

107  25 

40 

50 

145  3-2 

143  51 

141  54 

139  42 

137  09 

134  12 

130  46 

126  44 

121  59 

116  23 

109  50 

102  lb 

50 

I 

OO 

139  49 

137  58 

135  54 

133  34 

130  55 

127  54 

124  27 

120  30 

115  58 

no  48 

104  56 

98  41 

1     00 

lO 

134  31 

132  35 

130  27 

128  03 

125  23 

122  24 

119  01 

115  14 

in  00 

106  15 

100  58 

95  II 

10 

20 

129  39 

127  40 

125  32 

123  07 

120  29 

117  34 

114  20 

no  44 

106  47 

102  26 

97  40 

92  31 

20 

30 

125  09 

123  10 

121  02 

118  41 

116  06 

113  17 

no  12 

106  49 

103  08 

9908 

94  48 

90  10 

30 

40 

121  OI 

119  04 

Ufa  57 

114  39 

112  10 

109  27 

106  31 

103  21 

99  55 

96  14 

92  17 

8805 

40 

SO 

117  13 

115  17 

113  13 

no  59- 

10835 

106  01 

103  14 

100  15 

97  02 

9338 

90  00 

86  09 

50 

2 

OO 

113  39 

III  46 

109  45 

107  37 

105  18 

102  51 

100  14 

97  25 

94  25 

91  15 

87  54 

84  21 

2     00 

lO 

no  20 

108  31 

106  34. 

104  30 

102  18 

99  57 

97  28 

94  49 

92  01 

89  03 

8555 

82  40 

10 

20 

107  15 

105  28 

103  36 

101  36 

99  30 

97  16 

94  54 

92  25 

8946 

87  00 

84  05 

81  03 

20 

30 

104  19 

102  36 

100  48 

98  53 

96  52 

94  44 

92  30 

90  08 

87  40 

85  04 

82  20 

79  29 

30 

40 

loi  34 

99  54 

98  10 

96  20 

94  24 

92  22 

90  14 

88  00 

85  40 

83  13 

8039 

77  59 

40 

50 

9858 

97  21 

95  40 

93  54 

92  04 

90  08 

88  c6 

8559 

83  46 

81  26 

79  01 

76  31 

50 

3 

OO 

96  27 

94  54 

93  18 

91  36 

89  50 

8759 

86  03 

84  02 

81  56 

79  43 

77  27 

75  05 

3     00 

lO 

94  04 

92  33 

9.1  01 

8923 

8742 

8556 

84  05 

82  10 

80  10 

78  04 

75  55 

73  40 

10 

20 

91  46 

90  20 

88  50 

87  16 

85  39 

8356 

82  12 

80  21 

78  27 

76  28 

74  25 

72  17 

20 

30 

89  34 

88  10 

8643 

85  13 

8340 

82  03 

80  21 

7836 

76  46 

74  54 

72  56 

70  55 

30 

40 

87  26 

86  04 

84  42 

83  14 

81  44 

80  II 

78  34 

76  53 

75  10 

73  21 

71  29 

69  34 

40 

50 

85  22 

84  02 

82  43 

8:  18 

79  52 

78  22 

76  50 

75  13 

73  33 

71  51 

70  04 

68  19 

50 

4 

OO 

83  21 

82  05 

8047 

79  26 

7804 

7638 

75  08 

73  35 

72  00 

70  21 

68  39 

66  54 

4     00 

lO 

81  22 

80  09 

78  54 

77  36 

76  16 

74  53 

73  27 

71  59 

70  27 

68  52 

67  14 

65  33 

10 

20 

79  27 

78  16 

77  04 

75  49 

74  32 

73  11 

71  49 

70  24 

6856 

67  25 

65  52 

64  14 

20 

30 

77  34 

7625 

75  16 

74  03 

72  49 

71  31 

70  12 

68  51 

67  25 

65  59 

64  29 

62  55 

30 

40 

75  43 

74  36 

73  29 

72  19 

71  08 

6837 

67  18 

6556 

64  33 

63  07 

61  37 

40 

50 

73  53 

72  50 

71  44 

70  36 

69  27 

68  16 

67  02 

65  46 

64  28 

63  07 

61  44 

60  19 

50 

5 

OO 

72  05 

71  03 

70  00 

6855 

67  48 

6639 

65  28 

64  15. 

62  59 

61  42 

60  22 

5859 

5     00 

lO 

70  19 

69  19 

68  19 

67  15 

66  II 

65  03 

63  55 

62  44 

61  31 

60  17 

59  01 

57  41 

10 

20 

6834 

6736 

6637 

65  35 

64  33 

63  29 

62  23 

61  15 

60  05 

58  53 

57  39 

56  22 

20 

30 

66  50 

65  53 

64  56 

63  57 

62  57 

61  55 

60  51 

59  45 

58  37 

57  28 

56  17 

55  03 

30 

40 

65  07 

64  13 

63  17 

62  19 

61  21 

60  20 

59  19 

58  16 

57  10 

56  04 

54  5'> 

53  45 

40 

50 

63  24 

62  31 

61  38 

60  42 

59  46 

5847 

57  48 

56  47 

55  44 

54  40 

53  34 

52  25 

50 

6 

OO 

61  42 

60  51 

59  59 

59  06 

58  II 

57  15 

56  17 

55  18 

54  17 

53  15 

52  12 

51  06 

6     00 

lO 

60  00 

59  II 

58  20 

57  28 

5636 

55  41 

54  45 

53  49 

52  51 

51  51 

50  50 

49  46 

10 

20 

58  20 

57  32 

56  43 

55  53 

55  02 

54  10 

53  17 

52  22 

51  25 

50  26 

49  28 

48  27 

20 

30 

56  39 

55  53 

55  06 

54  17 

5328 

52  37 

51  45 

50  52 

49  58 

49  02 

48  05 

47  06 

30 

40 

5558 

54  13 

53  28 

52  41 

51  54 

51  05 

50  15 

49  23 

4831 

47  36 

46  42 

45  46 

40 

50 

53  i8 

52  34 

51  50 

51  05 

50  20 

49  32 

48  45 

47  55 

47  04 

46  13 

45  20 

44  25 

50 

7 

OO 

51  37 

50  56 

50  14 

49  29 

48  45 

48  00 

47  14 

46  26 

45  37 

44  48 

43  57 

43  04 

7     00 

lO 

49  57 

49  17 

4836 

47  54 

47  II 

46  28 

45  43 

44  57 

44  10 

43  22 

42  33 

41  43 

10 

20 

48  17 

47  37 

4658 

46  18 

45  37 

44  54 

44  12 

43  27 

42  43 

41  56 

41  10 

40  21 

20 

30 

46  37 

45  59 

45  21 

44  42 

44  02 

43  23 

42  41 

41  58 

41  14 

40  30 

39  45 

3859 

30 

40 

44  57 

44  21 

43  44 

43  06 

42  28 

41  49 

41  09 

40  29 

39  47 

39  04 

38  20 

37  36 

40 

50 

43  16 

42  41 

42  06 

41  30 

40  54 

40  16 

3938 

3859 

38  19 

37  38 

36  57 

36  14 

50 

8 

OO 

41  35 

41  01 

40  28 

39  54 

39  19 

38  43 

38  06 

37  29 

36  51 

36  n 

35  31 

34  50 

8     00 

lO 

39  54 

39  22 

3850 

38  17 

37  43 

37  09 

36  34 

35  58 

35  21 

34  44 

34  06 

33  27 

10 

20 

38  14 

37  42 

37  12 

36  39 

3608 

35  35 

35  01 

34  27 

33  52 

33  16 

32  40 

32  02 

20 

30 

36  33 

36  02 

35  33 

35  03 

34  33 

34  01 

33  28 

32  56 

32  22 

31  49 

31  14 

3038 

30 

40 

34  51 

34  22 

33  54 

33  25 

32  57 

32  26 

31  56 

31  24 

30  53 

30  21 

2948 

29  14 

40 

50 

3308 

32  41 

32  15 

31  47 

31  20 

30  52 

30  23 

29  53 

29  22 

28  53 

28  «i 

27  49 

50 

9 

OO 

31  26 

31  00 

30  35 

30  09 

29  43 

29  16 

28  49 

28  21 

27  52 

27  23 

26  53 

26  23 

9     00 

lO 

29  43 

29  19 

2856 

28  31 

28  06 

27  40 

27  15 

26  48 

26  22 

25  54 

25  26 

2458 

10 

20 

28  01 

27  38 

27  16 

26  52 

26  29 

26  04 

25  40 

25  15 

24  50 

24  25 

23  59 

23  32 

20 

30 

26  17 

2556 

25  35 

25  12 

24  51 

24  28 

24  06 

23  42 

23  18 

22  54 

22  30 

22  05 

30 

40 

24  34 

24  13 

23  54 

23  34 

23  13 

22  52 

22  31 

22  09 

21  47 

21  24 

21  02 

20  38 

40 

50 

22  50 

22  31 

22  13 

21  54 

21  35 

21  15 

20  56 

20  36 

20  15 

19  54 

19  33 

19  II 

50 

ID 

OO 

21  06 

20  49 

20  32 

20  14 

^§  57 

19  39 

19  21 

19  02 

18  43 

18  23 

18  04 

17  44 

10     00 

lO 

19  22 

19  05 

18  50 

18  34 

18  l8 

18  02 

17  45 

17  27 

17  10 

16  52 

16  34 

16  15 

10 

20 

17  36 

17  22 

17  08 

16  54 

16  39 

16  24 

16  09 

15  54 

15  38 

15  22 

15  05 

14  48 

20 

30 

15  52 

15  39 

15  27 

15  14 

15  00 

14  46 

14  33 

14  19 

14  04 

13  49 

13  35 

13  20 

30 

40 

14  07 

13  55 

13  44 

13  32 

13  20 

13  09 

12  56 

12  44 

12  31 

12  18 

12  05 

II  51 

40 

50 

12  21 

12  II 

12  02 

II  52 

II  42 

II  31 

II  20 

II  08 

10  57 

10  46 

10  35 

10  23 

50 

11 

OO 

10  36 

ID  27 

10  19 

10  10 

10  02 

9  52 

9  42 

9  34 

9  24 

9  14 

9  04 

855 

11     00 

lO 

8  50 

843 

8  36 

8  29 

8  22 

8  13 

8  06 

758 

7  50 

7  43 

7  34 

7  25 

10 

20 

7  05 

6  59 

653 

6  47 

6  41 

635 

6  29 

623 

6  16 

6  10 

6  04 

5  57 

20 

30 

5  18 

5  14 

5  10 

5  05 

5  01 

4  57 

4  52 

4  47 

4  42 

4  37 

4  33 

4  28 

30 

40 

3  32 

3  29 

3  27 

3  23 

3  20 

3  17 

3  '§ 

3  12 

3  09 

3  05 

3  02 

2  58 

40 

50 

I  46 

I  45 

I  44 

I  42 

I  41 

I  39 

I  38 

I  35 

I  34 

I  32 

I  31 

I  29 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


252 


AZIMUTH    OR   TRUE    BEARING. 


liATITCOE  61°. 

DECLINATION— SAME  NAME  AS— 

I.ATITUDE. 

LATITUDE  61°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

6»° 

70° 

Hour  Angle. 

b. 

in. 

o  / 

0  ' 

0  / 

0  / 

0  ; 

0  / 

0  / 

0  / 

0  / 

0  r 

Ii.    m. 

O 

OO 

i8o  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

128  00 

8854 

48  56 

29  19 

19  56 

14  44 

II  28 

9  14 

7  37 

6  24 

5  27 

10 

20 

109  54 

87  49 

65  05 

47  22 

35  23 

27  22 

21  50 

17  50 

14  51 

12  33 

10  43 

20 

30 

loi  52 

86  43 

71  07 

57  07 

45  48 

37  06 

30  28 

25  23 

21  24 

18  15 

15  41 

30 

40 

97  P6 

8538 

73  48 

62  34 

5238 

44  14 

37  21 

31  44 

27  10 

23  22 

20  15 

40 

50 

93  44 

84  32 

75  01 

65  44 

57  05 

49  21 

42  39 

36  54 

32  02 

27  53 

24  22 

SO 

1 

OO 

91  08 

83  26 

75  30 

6736 

60  02 

53  01 

46  41 

41  03 

36  05 

31  45 

27  59 

1     00 

lO 

88  56 

82  20 

75  32 

68  41 

62  00 

55  39 

49  44 

44  19 

39  26 

35  02 

31  08 

10 

20 

87  01 

81  14 

75  17 

69  15 

63  18 

57  31 

52  01 

46  53 

42  07 

37  46 

33  51 

20 

30 

85  16 

80  08 

74  50 

69  27 

64  05 

58  49 

53  44 

.4853 

44  19 

40  04 

36  09 

30 

40 

f3  39 

79  02 

74  15 

69  24 

64  31 

59  42 

54  58 

50  25 

46  04 

41  57 

38  06 

40 

50 

82  08 

77  55 

73  36 

69  10 

64  42 

60  15 

55  51 

51  34 

47  25 

43  28 

39  42 

SO 

2 

OO 

80  39 

76  49 

72  51 

6847 

64  41 

60  34 

56  27 

52  25 

48  30 

44  41 

41  02 

2     00 

lO 

79  15 

75  42 

72  03 

68  18 

64  30 

60  39 

56  49 

53  01 

49  17 

45  38 

42  07 

10 

20 

77  52 

74  35 

71  12 

67  42 

64  10 

60  36 

57  00 

53  24 

49  52 

46  23 

42  59 

20 

30 

76  31 

73  28 

70  18 

67  04 

63  45 

60  24 

57  01 

53  38 

50  16 

46  55 

43  39 

30 

40 

75  12 

72  21 

69  23 

66  21 

63  15 

60  05 

56  54 

53  42 

50  30 

47  18 

44  09 

40 

50 

73  58 

71  13 

68  27 

65  35 

62  40 

59  42 

56  41 

53  39 

50  36 

47  32 

44  31 

SO 

3 

OO 

72  38 

70  05 

67  28 

64  47 

62  01 

59  13 

56  22 

53  28 

50  34 

47  39 

44  45 

3     00 

lO 

71  21 

6857 

66  28 

6356 

61  20 

58  40 

55  58 

53  12 

50  26 

47  38 

44  51 

10 

20 

70  06 

67  49 

65  28 

63  04 

60  36 

5803 

55  29 

52  52 

50  13 

47  32 

44  52 

20 

30 

68  49 

66  40 

64  27 

62  09 

5948 

57  24 

54  57 

52  27 

49  55 

47  22 

44  47 

30 

40 

67  34 

65  31 

63  24 

61  14 

59  00 

56  42 

54  22 

51  59 

49  33 

47  05 

44  37 

40 

50 

66  19 

64  22 

62  21 

60  16 

58  09 

55  57 

53  44 

51  26 

49  07 

46  45 

44  22 

SO 

4 

OO 

65  04 

63  13 

61  17 

59  18 

57  16 

55  II 

53  02 

50  52 

48  38 

46  22 

44  04 

4     00 

lO 

63  49 

62  03 

60  12 

58  19 

.56  22 

54  22 

52  19 

50  13 

48  06 

45  55 

43  42 

10 

20 

62  35 

60  52 

59  06 

57  18 

55  26 

53  31 

51  34 

49  33 

47  30 

45  24 

43  18 

20 

30 

61  20 

59  42 

58  01 

56  17 

54  29 

52  39 

50  4^ 

48  51 

46  53 

44  51 

42  48 

30 

40 

60  06 

5831 

56  54 

55  14 

53  31 

51  45 

49  57 

48  06 

46  13 

44  16 

42  18 

40 

SO 

5850 

57  20 

55  46 

54  II 

52  33 

50  51 

49  06 

47  20 

45  30 

43  38 

41  45 

SO 

5 

OO 

57  35 

56  08 

5438 

53  07 

51  31 

49  54 

48  14 

46  31 

44  47 

42  59 

41  09 

5     00 

lO 

56  20 

54  56 

53  30 

52  01 

50  31 

48  57 

47  20 

45  41 

44  01 

42  19 

40  31 

10 

20 

55  05 

53  44 

52  21 

50  56 

49  28 

47  58 

46  25 

44  50 

43  13 

41  33 

39  50 

20 

30 

53  48 

52  31 

51  12 

49  49 

48  25 

46  57 

45  29 

43  58 

42  24 

40  47 

3850 

30 

40 

52  31 

51  17 

50  00 

48  42 

47  21 

45  57 

44  31 

43  04 

41  33 

40  OQ 

38  25 

40 

50 

51  16 

50  04 

48  50 

47  35 

46  17 

44  55 

43  33 

42  08 

40  41 

39  12 

37  41 

SO 

6 

OO 

49  59 

48  50 

47  39 

46  25 

45  10 

43  53 

42  34 

41  12 

39  49 

38  22 

36  54 

6     00 

lO 

48  41 

47  35 

46  27 

45  16 

44  04 

42  49 

41  33 

40  15 

38  54 

37  30 

3606 

10 

20 

"^1   ?l 

46  20 

45  14 

44  07 

4258 

41  45 

40  31 

39  16 

37  59 

36  39 

35  17 

20 

30 

46  06 

45  05 

44  01 

42  56 

41  49 

40  41 

39  30 

38  16 

37  02 

35  45 

34  27 

30 

40 

44  48 

43  49 

42  48 

41  45 

40  41 

39  35 

38  27 

37  16 

36  05 

34  50 

33  35 

18 

50 

43  30 

42  33 

41  34 

40  33 

39  32 

3827 

37  22 

36  14 

35  05 

33  54 

32  42 

7 

OO 

42  II 

41  16 

40  20 

39  21 

38  23 

37  20 

36  18 

35  13 

34  06 

32  58 

31  48 

7     00 

10 

40  52 

39  58 

39  04 

38  08 

37  II 

36  12 

35  12 

34  10 

33  06 

32  00 

30  53 

10 

20 
30 

3932 

3841 

37  49 

3656 

36  01 

35  03 

34  06 

33  06 

32  05 

31  01 

29  57 

20 

38  12 

37  23 

3633 

35  42 

34  49 

33  54 

32  59 

32  01 

31  03 

30  02 

29  01 

30 

40 

36  51 

36  04 

35  16 

34  27 

33  37 

32  44 

31  51 

30  56 

30  00 

29  02 

28  03 

40 

60 

35  30 

34  45 

34  00 

33  13 

32  25 

31  34 

30  43 

29  50 

28  57 

28  01 

27  04 

SO 

8 

OO 

34  08 

33  26 

32  42 

31  56 

31  10 

30  22 

29  33 

28  43 

27  52 

26  59 

26  05 

8     00 

lO 

32  47 

32  06 

31  24 

30  41 

29  57 

29  11 

28  25 

27  37 

26  48 

25  57 

25  05 

10 

20 

31  25 

30  46 

30  06 

29  24 
28  08 

28  42 

27  59 

27  15 

26  29 

25  43 

24  54 

24  04 

20 

30 

30  02 

29  25 

28  47 

27  28 

26  47 

26  04 

25  21 

24  36 

23  50 

23  03 

30 

40 

2839 

28  04 

27  28 

26  51 

26  13 

25  34 

24  53 

24  12 

23  30 

22  46 

22  02 

40 

50 

27  16 

26  43 

26  08 

25  33 

24  57 

24  20 

23  42 

23  02 

22  22 

21  41 

21  00 

SO 

» 

OO 

25  52 

25  20 

24  48 

24  15 

23  41 

23  06 

22  30 

21  53 

21  14 

20  35 

1956 

9     00 

10 

24  28 

23  58 

23  27 

22  56 

22  24 

21  51 

21  17 

20  42 

20  07 

19  30 

18  53 

10 

20 

23  04 

22  36 

22  07 

21  37 

21  07 

20  36 

20  05 

19  32 

18  59 

18  24 

17  49 

20 

30 

21  39 

21  13 

20  45 

20  18 

19  50 

19  21 

18  51 

18  21 

17  50 

17  17 

16  43 

30 

40 

20  14 

19  49 

19  24 

18  59 

18  33 

18  05 

17  37 

17  09 

16  39 

16  09 

1538 

40 

50 

1849 

18  26 

18  03 

17  39 

17  14 

16  49 

16  23 

15  57 

15  30 

15  02 

14  34 

SO 

10 

OO 

17  23 

17  02 

16  40 

16  IQ 

15  57 

15  33 

15  09 

14  45 

14  19 

13  54 

13  28 

10     00 

lO 

15  57 

1538 

15  18 

14  58 

14  37 

14  16 

13  55 

13  32 

13  08 

12  45 

12  21 

10 

20 

14  32 

14  14 

13  56 

13  38 

13  19 

12  59 

12  39 

12  19 

II  59 

II  37 

II  15 

20 

30 

13  04 

12  48 

I2i32 

12  17 

II  59 

II  42 

II  24 

II  06 

10  47 

10  28 

10  09 

30 

40 

II  38 

II  24 

11  10 

10  55 

10  40 

10  24 

10  09 

9  52 

936 

9  19 

9  03 

40 

50 

10  14 

9  59 

9  46 

9  33 

9  21 

9  07 

853 

8  39 

8  25 

8  ID 

7  54 

SO 

11 

OO 

.  844 

8  34 

8  23 

8  12 

8  02 

7  49 

738 

7  25 

7  13 

7  00 

6  47 

11     00 

lO 

7  17 

7  08 

6  59 

6  50 

6  41 

631 

6  21 

6  II 

6  00 

5  50 

5  40 

10 

20 

5  49 

5  43 

536 

5  29 

5  21 

5  13 

5  05 

4  57 

4  49 

4  40 

4  32 

20 

30 

4  22 

4  17 

4  12 

4  07 

4  01 

3  55 

3  49 

3  43 

3  37 

3  30 

3  23 

30 

40 

2  55 

2  51 

2  48 

2  44 

2  40 

2  36 

2  32 

2  29 

2  25 

2  20 

2  16 

40 

50 

I  27 

I  26 

I  24 

I  22 

I  21 

I  18 

I  17 

I  14 

I  12 

I  10 

I  08 

50 

12 

OO 

0  00 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


253 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  63°. 

D^CIJNATION— SAME  NAME  AS— LATITUDE 

liATITUDB:  63°. 

Hour  Angle. 

34° 

35° 

36° 

37° 

38° 

39° 

30° 

31° 

33" 

33° 

34° 

35° 

Hour  Angle. 

li. 

lU. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  /" 

0  / 

0  / 

0  / 

0  ' 

0  / 

li.     m. 

O 

OO 

i8o  oo 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0     00 

10 

176  18 

176  15 

176  II 

176  07 

176  04 

175  59 

175  55 

175  50 

175  46 

175  41 

175  35 

175  29 

10 

20 

172  36 

172  29 

172  22 

172  15 

172  07 

171  59 

171  51 

171  42 

171  33 

171  23 

171  12 

171  00 

30 

30 

168  55 

16S  47 

168  36 

168  25 

168  14 

168  02 

167  49 

167  36 

167  22 

167  07 

166  52 

16635 

30 

40 

165  16 

165  03 

164  50 

164  36 

164  21 

164  06 

163  49 

163  32 

163  14 

162  54 

162  34 

162  12 

40 

50 

161  40 

161  24 

161  08 

160  50 

160  32 

160  13 

159  53 

159  32 

159  10 

158  46 

158  21 

157  55 

50 

1 

OO 

158  07 

157  48 

157  28 

15708 

156  46 

156  24 

156  01 

155  36 

155  II 

154  44 

154  15 

153  47 

1     00 

lO 

154  36 

154  15 

153  52 

153  30 

153  05 

152  40 

152  14 

151  45 

151  16 

150  46 

150  13 

149  38 

10 

20 

151  09 

150  45 

150  21 

149  55 

149  28 

149  01 

148  31 

14S  00 

147  29 

146  55 

146  19 

145  41 

30 

30 

147  45 

147  20 

146  53 

146  25 

145  56 

145  26 

144  54 

144  21 

143  46 

143  09 

142  31 

141  50 

30 

40 

144  26 

143  59 

143  30 

143  01 

142  29 

141  57 

141  23 

140  47 

140  10 

139  32 

138  51 

138  07 

40 

50 

141  12 

140  43 

140  12 

139  40 

139  08 

13833 

13758 

137  21 

136  41 

136  01 

135  18 

134  33 

50 

% 

OO 

138  01 

137  31 

13658 

136  25 

135  51 

135  15 

134  38 

133  59 

133  18 

132  36 

131  51 

130  04 

3     00 

lO 

134  55 

134  22 

133  49 

133  14 

132  39 

132  02 

131  24 

130  43 

130  01 

129  18 

12833 

127  45 

10 

30 

131  52 

131  20 

130  46 

130  10 

129  33 

12855 

128  16 

127  34 

126  51 

126  07 

125  20 

124  31 

20 

30 

128  55 

128  21 

127  45 

127  09 

126  32 

125  52 

125  12 

124  30 

123  46 

123  01 

122  13 

121  25 

30 

40 

126  01 

125  26 

124  51 

124  13 

123  34 

122  55 

122  14 

121  32 

120  47 

120  01 

1 19  14 
116  20 

118  24 

40 

50 

123  12 

122  36 

122  00 

121  22 

120  42 

120  02 

119  21 

118  38 

117  54 

117  07 

115  29 

50 

3 

OO 

120  26 

119  50 

119  13 

"835 

"7  55 

117  15 

116  33 

115  50 

115  05 

114  19 

113  31 

112  41 

3     00 

lO 

117  43 

117  07 

116  30 

"5  51 

115  12 

1)4  30 

113  48 

113  05 

112  20 

III  34 

no  47 

109  57 

10 

30 

115  05 

H4  28 

113  50 

113  12 

112  32 

III  51 

in  09 

no  25 

109  41 

108  55 

108  08 

107  18 

20 

30 

112  29 

III  52 

III  15 

no  36 

109  56 

109  15 

108  34 

107  51 

107  06 

106  20 

105  33 

104  44 

30 

40 

109  57 

109  20 

.108  43 

108  04 

107  24 

106  43 

106  02 

105  19 

104  34 

103  50 

103  03 

102  14 

40 

50 

107  28 

106  51 

106  13 

105  34 

104  55 

104  15 

103  33 

102  50 

102  06 

loi  21 

100  35 

99  47 

50 

4 

OO 

105  02 

104  25 

103  47 

103  09 

102  29 

loi  50 

loi  08 

100  26 

99  42 

9858 

98  13 

97  25 

4     00 

lO 

102  38 

102  01 

loi  24 

100  45 

100  06 

99  36 

98  44 

98  03 

97  20 

96  37 

95  51 

95  05 

10 

30 

100  16 

99  39 

99  03 

9825 

97  45 

97  06 

96  26 

95  45 

95  02 

94  18 

93  34 

92  47- 

30 

30 

97  56 

97  20 

96  43 

96  06 

95  27 

94  48 

94  08 

93  27 

92  46 

92  03 

91  19 

90  34 

30 

40 

95  39 

95  04 

94  27 

93  49 

93  II 

92  32 

91  53 

91  12 

90  31 

89  50 

89  07 

88  23 

40 

50 

93  24 

92  48 

92  12 

91  35 

90  57 

90  19 

89  40 

89  00 

88  20 

87  39 

86  56 

86  13 

50 

5 

OO 

91  09 

90  34 

8959 

89  22 

8845 

88  07 

87  28 

86  49 

86  10 

8529 

84  47 

8405 

5     00 

lO 

8857 

88  22 

87  47 

87  II 

8634 

85  57 

85  19 

84  41 

84  01 

83  21 

82  40 

81  58 

10 

20 

86  46 

86  12 

8537 

85  01 

84  25 

8348 

83  II 

82  33 

81  54 

81  15 

80  35 

79  54 

30 

30 

84  36 

84  02 

83  27 

82  52 

82  16 

81  40 

81  03 

80  27 

79  49 

79  10 

7831 

77  50 

30 

40 

82  26 

81  53 

81  19 

80  44 

80  10 

79  34 

78  57 

78  22 

77  45 

77  06 

76  28 

75  49 

40 

50 

80  19 

79  46 

79  12 

7838 

78  05 

77  29 

76  54 

76  18 

75  42 

75  05 

74  27 

73  48 

50 

6 

OO 

78  12 

77  40 

77  06 

76  33 

75  59 

75  24 

74  49 

74  15 

73  39 

73  03 

72  26 

71  48 

6     00 

lO 

76  05 

75  33 

75  00 

74  28 

73  54 

73  21 

72-47 

72  12 

71  37 

71  02 

70  25 

6948 

10 

30 

73  59 

73  28 

72  56 

72  23 

71  51 

71  18 

70  45 

70  II 

69  37 

69  02 

68  27 

67  51 

30 

30 

71  54 

71  23 

70  51 

•  70  19 

69  48 

69  16 

6843 

68  09 

6736 

67  02 

66  28 

65  52 

30 

40 

69  48 

69  17 

6847 

68  16 

67  45 

67  13 

66  41 

66  09 

6536 

65  03 

64  30 

63  55 

40 

50 

67  43 

67  14 

66  44 

66  13 

65  42 

65  12 

64  40 

6408 

6336 

63  04 

62  31 

61  57 

50 

7 

OO 

6538 

65  09 

64  40 

64  10 

63  40 

6309 

6239 

62  09 

.  61  37 

61  05 

60  33 

60  01 

7     00 

lO 

63  32 

63  04 

62  35 

62  06 

61  37 

61  08 

6038 

60  07 

59  38 

59  07 

5836 

58  04 

10 

30 

61  28 

61  00 

60  32 

60  04 

59  35 

59  06 

5837 

5808 

57  39 

57  09 

5638 

56  07 

30 

30 

59  23 

5856 

58  28 

58  00 

57  33 

57  05 

56  37 

5608 

55  40 

55  10 

54  41 

54  II 

30 

40 

57  17 

56  51 

56  24 

55  57 

55  30 

55  03 

54  36 

5408 

53  41 

53  12 

.  52  43 

52  14 

40 

50  . 

55  12 

5446 

54  20 

53  54 

5328 

53  02 

52  34 

52  07 

51  41 

51  14 

50  47 

50  18 

50 

8 

OO 

53  05 

52  40 

52  15 

51  50 

51  24 

50  59 

50  33 

50  07 

49  41 

49  15 

48  47 

48  21 

8     00 

lO 

50  59 

50  35 

50  II 

49  45 

49  21 

4857 

4832 

48  06 

47  42 

47  16 

46  50 

46  23 

10 

30 

4852 

48  29 

48  06 

47  41 

47  18 

46  54 

46  29 

46  06 

45  42 

45  16 

44  52 

44  27 

•  30 

30 

46  45 

46  22 

46  00 

45  37 

45  13 

44  51 

44  27 

44  04 

43  41 

43  17 

42  54 

42  29 

30 

40 

44  37 

44  15 

43  53 

43  31 

43  09 

42  47 

42  25 

42  03 

41  40 

41  17 

40  54 

40  31 

40 

50 

42  28 

42  08 

41  46 

41  25 

41  04 

40  43 

40  21 

40  00 

39  39 

.  39  17 

3855 

3833 

50 

9 

OO 

40  19 

39  59 

39  39 

39  18 

3858 

3839 

38  18 

37  57 

37  37 

37  16 

36  55 

36  34 

9     00 

lO 

38  09 

37  50 

37  31 

37  12 

36  52 

36  33 

26  13 

35  54 

35  35 

35  15 

34  55 

34  35 

10 

30 

35  59 

35  41 

35  22 

35  04 

34  46 

34  27 

34  09 

33  51 

33  32 

33  14 

32  55 

32  35 

20 

30 

3348 

33  31 

33  14 

32  57 

32  39 

32  22 

32  04 

31  46 

31  29 

31  12 

30  54 

30  36 

30 

40 

31  36 

31  20 

31  04 

30  47 

30  32 

30  15 

29  59 

29  42 

29  25 

29  09 

28  52 

2835 

40 

50 

29  24 

29  09 

2853 

28  38 

28  23 

28  08 

27  53 

27  37 

27  22 

27  07 

26  51 

26  35 

50 

lO 

OO 

27  II 

26  57 

26  43 

26  29 

26  14 

26  01 

25  46 

25  32 

25  17 

25  03 

24  49 

24  35 

10   00 

lO 

24  57 

24  45 

24  31 

24  18 

24  06 

23  52 

23  39 

23  26 

23  13 

23  00 

22  46 

22  33 

10 

30 

22  43 

22  31 

22  19 

22  07 

21  56 

21  44 

21  32 

21  20 

21  09 

20  56 

20  44 

20  31 

20 

30 

20  29 

20  18 

20  07 

19  57 

19  46 

19  34 

19  24 

19  13 

19  02 

18  51 

18  41 

18  30 

30 

40 

18  13 

18  04 

17  54 

17  44 

17  35 

17  25 

17  15 

17  06 

16  57 

16  46 

16  37 

16  27 

40 

50 

1558 

15  49 

15  41 

15  33 

15  24 

15  15 

15  07 

1458 

14  50 

14  42 

14  33 

14  24 

50 

11 

OO 

13  42 

13  35 

13  27 

13  20 

13  13 

13  05 

12  58 

12  51 

12  44 

12  36 

12  29 

12  21 

11     00 

lO 

II  25 

II  20 

•  II  14 

II  08 

II  02 

10  55 

10  49 

10  43 

10  36 

10  31 

10  24 

10  18 

10 

30 

9  09 

9  04 

8  59 

8  54 

8  49 

8  45 

8  39 

8  35 

8  29 

8  25 

8  20 

8  15 

20 

30 

651 

6  49 

6  45 

6  41 

637 

633 

6  29 

6  26 

623 

6  iS 

6  14 

6  II 

30 

40 

4  35 

4  33 

4  29 

4  27 

4  25 

4  22 

4  20 

4  17 

4  15 

4  13 

4  10 

4  08 

•  40 

50 

2  17 

2  16 

2  15 

2  14 

2  12 

2  II 

2  10 

2  09 

2  07 

2  06 

2  05 

2  03 

50 

la 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

13     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  So«th  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle,  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


254 


AZIMUTH  OR  TRUE  BEARING. 


liATITCDE  62°. 

DECLINATION— 

SAME  NAME  AS— LATITUDE. 

liATlTIJDE  62°. 

Hour  Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hoar  Angle. 

b. 

in. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  ' 

0  / 

0  ' 

0  / 

0  ' 

0  1 

b.    m. 

O 

OO 

i8o  oo 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

175  24 

175  17 

175  09 

175  02 

174  54 

174  44 

174  35 

174  24 

174  II 

173  58 

173  42 

173  25 

10 

20 

170  49 

170  35 

170  21 

170  06 

169  49 

169  32 

169  12 

168  50 

168  27 

168  00 

167  30 

166  57 

20 

30 

166  17 

165  58 

165  37 

165  15 

164  50 

164  24 

163  55 

163  24 

162  49 

162  10 

161  28 

160  40 

30 

40 

161  48 

161  23 

160  57 

160  28 

159  56 

159  23 

158  46 

158  05 

157  21 

156  32 

155  38 

154  37 

40 

50 

157  25 

156  56 

156  24 

155  48 

155  II 

154  30 

153  47 

15258 

152  05 

151  08 

150  04 

148  53 

60 

1 

OO 

153  11 

152  36 

151  59 

151  18 

150  35 

149  48 

14858 

148  03 

147  03 

145  59 

144  48 

143  29 

1     00 
10 

lO 

149  02 

148  23 

147  41 

146  56 

146  08 

145  17 

144  22 

143  22 

142  16 

141  05 

139  49 

138  24 

20 

145  00 

144  18 

143  33 

142  45 

141  52 

140  57 

139  58 

138  54 

137  44 

136  29 

135  08 

133  39 

20 
30 
40 
50 

30 

141  07 

140  22 

139  34 

138  42 

137  47 

136  48 

135  46 

134  38 

133  26 

132  08 

130  44 

129  12 

40 

137  22 

136  34 

135  44 

134  50 

133  52 

132  52 

131  47 

130  36 

129  22 

128  02 

126  37 

125  04 

50 

133  46 

132  56 

132  03 

131  08 

130  08 

129  06 

127  59 

126  48 

125  32 

124  12 

122  46 

121  12 

2 

OO 

130  16 

129  25 

128  31 

127  33 

126  33 

125  30 

124  22 

123  10 

121  53 

120  33 

119  07 

117  34 

2    00 

lO 

126  55 

126  03 

125  07 

124  09 

123  08 

122  04 

120  56 

119  44 

118  27 

117  07 

115  42 

114  10 

10 

20 

123  41 

122  47 

121  53 

120  53 

119  52 

118  48 

117  40 

116  27 

115  12 

113  53 

112  28 

no  58 

20 

30 

120  33 

119  40 

118  44 

117  45. 

116  43 

115  39 

114  32 

113  21 

112  05 

no  47 

109  24 

107  56 

30  ! 

40 

"7  33 

116  39 

115  43 

114  44 

"3  42 

112  39 

III  32 

no  22 

109  08 

107  50 

106  29 

105  04 

40 

50 

"4  39 

113  45 

112  50 

III  51 

no  49 

109  46 

108  41 

107  31 

106  17 

105  03 

103  44 

102  19 

50 

3 

OO 

III  50 

no  56 

no  02 

109  03 

108  03 

107  00 

105  55 

104  46 

103  35 

102  22 

loi  03 

99  42 

3     00 

lO 

109  07 

108  13 

107  18 

106  21 

105  21 

104  20 

103  16 

102  08 

100  59 

99  46 

98  31 

97  11 

10 

20 

106  29 

105  35 

104  41 

103  45 

102  46 

loi  45 

100  42 

99  36 

9828 

97  17 

96  04 

94  47 

20 

30 

103  35 

103  02 

102  09 

loi  13 

100  15 

99  16 

98  14 

97  10 

96  02 

94  53 

93  42 

92  27 

30 

40 

loi  24 

100  34 

99  41 

9846 

97  49 

9651 

95  50 

94  47 

93  42 

92  35- 

91  26 

90  12 

40 

50 

9858 

9809 

97  17 

96  22 

95  26 

94  30 

93  31 

92  29 

91  25 

90  20 

89  12 

88  02 

50 

4 

OO 

96  37 

95  48 

94  56 

94  03 

93  08 

92  13 

91  16 

90  14 

89  12 

88  09 

8703 

8554 

4     00 

lO 

94  17 

93  28 

92  39 

91  47 

90  53 

8958 

8g  02 

88  03 

87  03 

86  01 

84  57 

83  50 

10 

20 

92  01 

91  14 

90  24 

89  34 

88-41 

8748 

8653 

85  55 

8456 

83  54 

8253 

81  49 

20 

30 

89  48 

89  02 

88  12 

87  22 

86  31 

85  40 

84  45 

83  49 

82  52 

81  54 

.  8053 

79  50 

30 

40 

8738 

86  51 

86  04 

85  15 

84  25 

83  33 

82  42 

81  47 

80  51 

79  53 

7855 

77  54 

40 

50 

85  28 

84  44 

8357 

8309 

82  20 

81  30 

8039 

79  45 

7851 

77  55 

76  59 

76  00 

60 

5 

OO 

83  21 

82  37 

81  52 

81  05 

80  17 

79  28 

7838 

77  46 

76  54 

76  00 

75  04 

74  06 

5     00 

lO 

81  16 

80  33 

79  48 

79  02 

78  16 

77  28 

76  40 

75  49 

7458 

74,05 

73  II 

72  16 

10 

20 

79  13 

78  30 

77  46 

77  02 

76  16 

75  30 

74  43 

73  53 

73  03 

72  12 

71  20 

70  26 

20 

30 

77  10 

76  28 

75  46 

75  02 

74  17 

73  33 

72  47 

71  59 

71  09 

70  20 

69  30 

68  36 

30 

40 

75  09 

74  28 

73  47 

73  04 

72  20 

71  37 

70  52 

70  05 

69  17 

68  29 

67  40 

66  49 

40 

60 

73  10 

72  30 

71  49 

71  08 

70  26 

69  42 

6858 

68  13 

67  26 

66  40 

65  52 

65  03 

60 

6 

OO 

71  10 

70  31 

69  52 

69  II 

68  30 

67  48 

67  05 

66  21 

6536 

64  51 

64  04 

63  17 

6     00 

lO 

69  II 

6834 

67  55 

67  15 

6635 

65  55 

65  14 

64  30 

63  46 

63  03 

62  17 

61  31 

10 

20 

67  15 

6637 

66  00 

65  22 

64  42 

64  03 

63  23 

62  40 

61  58 

61  16 

60  32 

59  46 

20 

30 

65  17 

64  42 

64  04 

63  27 

62  49 

62  11 

61  32 

60  50 

60  09 

59  28 

5846 

58  02 

30 

40 

63  20 

62  45 

62  09 

61  33 

6056 

60  19 

59  41 

59  01 

58  21 

57  42 

57  00 

56  18 

40 

50 

61  24 

60  50 

60  i5 

59  40 

59  05 

5828 

57  51 

57  13 

56  34 

55  55 

55  16 

54  35 

SO 

7 

OO 

59  29 

5856 

58  22 

57  48 

57  12 

56  37 

56  02 

55  24 

54  47 

54  09 

53  30 

52  51 

7     00 

lO 

57  32 

57  00 

56  28 

55  54 

55  20 

54  46 

54  II 

53  35 

52  59 

52  23 

51  45 

51  07 

10 

20 

55  37 

55  05 

54  34 

54  02 

53  29 

52  56 

52  22 

51  47 

51  12 

50  36 

50  01 

49  24 

20 

30 

53  41 

53  II 

52  40 

52  09 

51  37 

51  05 

50  33 

49  59 

49  25 

48  51 

48  17 

47  40 

30 

40 

51  46 

51  16 

50  46 

50  17 

49  45 

49  15 

48  43 

48  II 

47  38 

47  05 

46  32 

45  57 

40 

50 

49  50 

49  22 

4852 

48  23 

47  54 

47  25 

46  54 

46  23 

45  51 

45  20 

44  48 

44  14 

60 

8 

OO 

47  54 

47  26 

46  59 

46  30 

46  02 

45  34 

45  04 

44  34 

44  03 

43  33 

43  02 

42  31 

8     00 

lO 

45  58 

45  32 

45  05 

44  38 

44  10 

43  42 

43  15 

42  46 

42  16 

41  47 

41  17 

40  47 

10 

. 

20 

44  01 

43  37 

43  II 

42  44 

42  17 

41  51 

41  23 

40  57 

40  28 

40  00 

39  32 

39  04 

20 

30 

42  05 

41  41 

41  16 

40  51 

40  25 

40  00 

39  34 

39  08 

38  41 

38  14 

37  47 

37  19 

30 

40 

40  08 

39  45 

39  21 

3857 

38  33 

38  08 

37  44 

37  18 

36  53 

36  28 

36  01 

35  35 

40 

50 

38  II 

37  49 

37  26 

37  03 

36  40 

36  16 

35  54 

35  29 

35  04 

34  40 

34  16 

33  50 

50 

9 

OO 

36  13 

35  52 

35  30 

35  09 

34  46 

34  25 

34  02 

33  39 

33  16 

32  53 

32  29 

32  05 

9     00 

lO 

34  15 

33  55 

33  34 

33  14 

32  52 

32  33 

32  II 

31  49 

31  27 

31  05 

30  43 

30  21 

10 

20 

32  17 

31  58 

31  39 

31  20 

30  59 

30  40 

30  20 

29  59 

29  38 

29  17 

28  57 

28  35 

20 

30 

30  18 

30  00 

29  42 

29  23 

29  05 

28  47 

28  28 

28  08 

27  49 

27  29 

27  10 

26  50 

30 

40 

28  19 

28  02 

27  45 

27  28 

27  II 

26  53 

26  36 

26  17 

25  59 

25  41 

25  22 

25  03 

40 

50 

26  20 

26  04 

25  48 

25  32 

25  16 

25  00 

24  43 

24  26 

24  09 

23  53 

23  35 

23  18 

50 

30 

OO 

24  20 

24  05 

23  50 

23  36 

23  21 

23  06 

22  50 

22  34 

22  19 

22  04 

21  48 

21  34 

10     00 

lO 

22  20 

22  07 

21  53 

21  39 

21  25 

21  II 

20  57 

20  43 

20  28 

20  14 

19  59 

.19  45 

10 

20 

20  19 

20  07 

19  54 

19  43 

19  30 

19  17 

19  04 

18  51 

18  38 

18  24 

18  II 

1758 

20 

30 

18  18 

18  08 

17  56 

17  45 

17  33 

17  22 

17  II 

1658 

16  47 

16  35 

16  23 

16  II 

30 

40 

16  17 

16  07 

15  57 

15  47 

15  37 

15  27 

15  17 

15  06 

14  55 

14  44 

14  35 

14  23 

40 
50 

50 

14  15 

14  07 

1358 

13  50 

13  40 

13  32 

13  22 

13  14 

13  04 

12  54 

12  45 

12  36 

11 

OO 

12  14 

12  07 

11  58 

II  51 

II  43 

II  36 

II  28 

n  21 

II  13 

II  05 

10  56 

10  49 

11     00 

10 

10  12 

10  05 

10  00 

9  53 

9  46 

9  40 

9  34 

9  27 

9  21 

9  14 

9  07 

9  01 

10 

20 

8  10 

8  05 

7  59 

7  54 

7  49 

7  44 

7  40 

7  35 

7  29 

7  24 

7  18 

7  13 

20 

30 

6  06 

6  04 

6  00 

556 

5  53 

5  48 

5  45 

5  41 

5  37 

5  33 

5  28 

5  25 

30 
40 
60 

40 

4  05 

4  03 

4  00 

3  57 

3  55 

3  52 

3  50 

3  47 

3  44 

3  41 

3  40 

3  37 

50 

2  03 

2  01 

2  00 

I  59 

258 

I  56 

I  55 

I  53 

I  53 

I  51 

I  50 

I  48 

12 

OO 

0  00 

0  00 

0  oc 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuthi  s  to  be  taken  for  the  required  true  bearing. 


255 


AZIMUTH  OR  TRUE  BEARING. 


I^ATITUOE  62°. 

DECUNATION- 

-SAME  NAME  AS-LATITUDE. 

liATITlTDC:  62°. 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

540 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

b. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

b.    ui.  1 

O 

OO 

i8o  oo 

180  00 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0     OO 

10 

173  o6 

172  44 

172  17 

171  47 

171  II 

170  27 

169  31 

168  21 

166  49 

164  40 

161  33 

156  36 

10 

20 

i66  19 

165  37 

164  46 

163  47 

162  3S 

161  14 

159  31 

157  23 

154  36 

150  55 

145  47 

138  25 

20 

30 

159  45 

158  44 

157  3* 

156  II 

154  35 

152  40 

150  21 

147  31 

144  06 

139  26 

133  32 

125  47 

30 

40 

153  29 

152  13 

150  45 

149  04 

147  07 

144  50 

142  08 

13854 

13458 

130  10 

124  14 

116  56 

40 

50 

147  34 

146  05 

144  25 

142  31 

140  21 

137  50 

134  55 

131  30 

127  31 

122  43 

117  05 

no  27 

50 

1 

OO 

142  01 

140  24 

138  34 

136  32 

134  14 

131  37 

12837 

125  10 

121  13 

116  39 

III  25 

105  27 

1     00 

lO. 

136  51 

155  07 

133  13 

131  06 

128  44 

126  04 

123  05 

119  43 

115  54 

III  38 

106  47 

loi  25 

10 

20 

132  02 

130  16 

12S  18 

126  10 

123  47 

121  09 

118  14 

114  58 

III  22 

107  20 

102  54 

98  03 

20 

30 

1-27  34 

125  46 

12348 

121  39 

119  18 

116  44 

113  54 

no  47 

107  23 

10338 

99  32 

9508 

30 

40 

123  25 

121  37 

119  40 

"7  33 

115  15 

112  45 

no  02 

107  03 

103  51 

100  22 

96  35 

92  33 

40 

50 

119  33 

117  47 

115  50 

113  47 

III  33 

109  08 

106  32 

103  44 

100  41 

97  26 

93  57 

90  14 

50 

2 

OO 

"5  57 

114  II 

1X2  18 

no  18 

108  08 

105  50 

103  20 

100  39 

97  49 

94  46 

91  31 

!!°5 

2     00 

lO 

112  33 

no  52 

109  01 

107  04 

104  59 

102  46 

100  23 

97  52 

95  10 

92  20 

89  17 

86  06 

10 

20 

109  24 

107  44 

105  56 

104  03 

102  03 

99  55 

97  40 

95  16 

92  43 

90  02 

87  12 

84  13 

20 

30 

106  24 

104  45 

103  02 

it)i  14 

99  17 

97  15 

95  07 

92  49 

90  25 

8753 

85  13 

82  26 

30 

40 

103  33 

loi  58 

100  18 

98  32 

96  42 

94  45 

92  41 

90  32 

^  '5 

^551 

83  21 

8044 

-40 

50 

100  51 

99  19 

97  42 

96  01 

94  14 

92  23 

90  24 

88  20 

86  11 

8356 

81  33 

79  05 

50 

3 

OO 

98  18 

9648 

95  14 

93  37 

91  54 

90  07 

88  14 

86  16 

84  13 

82  04 

79  50 

77  29 

3     00 

lO 

95  48 

94  23 

92  52 

91  18 

89  39 

8756 

86  08 

84  16 

82  18 

80  16 

7807 

75  55 

10 

20 

93  27 

92  03 

90  35 

89  05 

87  30 

8551 

84  08 

82  21 

80  29 

78  33 

76  30 

74  24 

20 

30 

91  10 

89  49 

88  24 

8657 

85  26 

83  51 

82  12 

80  29 

7842 

76  51 

74  55 

72  55 

30 

40 

8857 

87  39 

86  17 

8453 

83  25 

81  54 

80  19 

7840 

7658 

75  II 

73  21 

71  27 

40 

50 

86  48 

85  33 

84  14 

8253 

81  2S 

80  00 

7830 

7654 

75  17 

73  34 

71  49 

70  00 

SO 

4 

OO 

84  44 

83  31 

82  14 

8056 

79  35 

78  10 

76  42 

75  12 

73  37 

72  00 

70  18 

6835 

4     00 

lO 

82  42 

8r  31 

80  17 

79  01 

77  42 

76  22 

74  57 

73  3C 

71  59 

70  26 

6849 

67  09 

10 

20 

8043 

79  34 

78  23 

77  10 

75  54 

74  36 

73  15 

71  51 

70  24 

6854 

67  21 

65  45 

20 

30 

7846 

77  39 

76  31 

75  20 

74  06 

72  51 

71  33 

70  12 

68  49 

67  23 

65  54 

64  22 

30 

40 

76  52 

75  47 

74  41 

73  32 

72  21 

71  09 

69  53 

6835 

67  15 

65  53 

64  a6 

62  59 

40 

50 

74  59 

73  57 

72  53 

71  47 

7038 

6928 

68  15 

6659 

65  42 

64  23 

63  01 

61  36 

50 

5 

OO 

73  08 

72  07 

71  04 

70  01 

6855 

6747 

6636 

65  24 

64  II 

62  53 

61  35 

60  13 

5     00 

10 

71  19 

70  20 

69  20 

68  18 

67  14 

66  09 

65  01 

63  51 

62  39 

61  26 

60  09 

58  51 

10 

20 

69  31 

6834 

67  35 

6636 

65  34 

64  30 

63  25 

62  18 

61  08 

5958 

58  44 

57  29 

20 

30 

67  43 

66  48 

65  52 

64  54 

63  54 

62  53 

61  50 

60  45 

59  39 

58  30 

57  19 

5606 

30 

40 

65  57 

65  04 

6409 

63  13 

62  15 

61  16 

60  16 

59  13 

58  09 

57  02 

55  54 

54  44 

40 

50 

64  13 

63  22 

62  28 

61  33 

60  37 

5940 

5842 

57  42 

56  40 

55  36 

54  29 

53  23 

50 

6 

OO 

62  28 

6i  38 

60  46 

59  54 

59  00 

5803 

5708 

56  10 

55  09 

54  09 

53  04 

52  00 

6     00 

10 

60  44 

59  55 
58  14 

59  06 

58  15 

57  23 

56  29 

55  34 

5438 

53  40 

52  41 

51  40 

5038 

10 

20 

59  01 

57  25 

56  37 

55  47 

54  55 

54  02 

5308 

52  n 

51  14 

50  15 

49  15 

20 

30 

57  17 

56  33 

55  46 

54  59 

54  09 

53  20 

52  28 

51  36 

50  43 

4948 

48  51 

47  53 

30 

40 

55  35 

54  51 

54  06 

53  20 

52  33 

51  45 

50  55 

50  05 

49  13 

48  20 

47  26 

46  30 

40 

50 

53  53 

53  «> 

"52  27 

51  42 

50  57 

50  II 

49  23 

4834 

47  45 

46  54 

46  00 

45  07 

50 

7 

OO 

52  II 

51  29 

50  48 

50  04 

49  21 

48  37 

47  50 

47  03 

46  16 

45  26 

44  35 

43  44 

7     00 

lO 

50  28 

4908 

48  27 

47  45 

47  02 

46  17 

45  32 

44  46 

43  58 

43  10 

42  20 

10 

20 

48  47 

48  08 

47  29 

46  49 

46  09 

45  27 

44  44 

44  01 

43  16 

42  31 

41  44 

40  57 

20 

30 

47  05 

46  27 

45  50 

45  12 

44  32 

43  52 

43  12 

42  30 

41  47 

41  03 

40  18 

39  32 

30 

40 

45  23 

44  47 

44  -0 

43  34 

4::  56 

42  18 

41  39 

40  58 

40  17 

39  35 

38  52 

38  08 

40 

50 

43  41 

43  06 

42  31 

41  56 

41  20 

4043 

40  05 

39  26 

3848 

38  07 

37  25 

36  44 

50 

8 

OO 

4158 

41  25 

40  51 

40  17 

39  43 
38  06 

3908 

38  32 

37  55 

37  16 

3638 

35  59 

35  18 

8     00 

lO 

40  16 

39  45 

39  12 

38  40 

37  33 

3658 

36  23 

35  46 

35  10 

34  32 

33  53 

10 

20 

3834 

38  03 

37  32 

37  01 

36  30 

35  58 

35  24 

34  50 

34  16 

33  41 

33  05 

32  28 

20 

30 

36  51 

36  22 

35  52 

35  23 

34  52 

34  22 

33  50 

33  18 

32  45 

32  12 

31  37 

31  02 

30 

40 

3508 

34  41 

34  12 

33  44 

33  15 

32  46 

32  16 

31  45 

31  14 

30  42 

30  09 

2936 

40 

50 

33  24 

32  57 

32  32 

32  05 

31  38 

31  10 

30  41 

30  12 

29  42 

29  12 

28  40 

28  09 

50 

9 

OO 

31  41 

31  16 

30  50 

30  26 

30  00 

29  33 

29  05 

2838 

28  10 

27  41 

27  12 

26  43 

9     00 

lO 

29  57 

29  34 

29  09 

28  46 

28  21 

27  56 

27  31 

27  04 

26  38 

26  11 

25  43 

25  15 

10 

ao 

28  13 

27  51 

27  29 

27  06 

26  43 

26  20 

25  56 

25  31 

25  06 

24  40 

24  15 

23  47 

20 

30 

26  30 

26  08 

25  47 

25  26 

25  05 

24  42 

24  20 

23  56 

23  34 

23  09 

22  45 

22  20 

30 
40 

40 

2444 

24  25 

24  05 

23  45 

23  25 

23  05 

22  44 

22  23 

22  00 

21  38 

21  16 

20  52 

50 

23  OQ 

22  42 

22  23 

22  05 

21  46 

21  27 

21  07 

20  47 

20  27 

20  06 

19  45 

19  24 

50 

lO 

OO 

21  15 

20  58 

20  41 

20  24 

20  06 

19  49 

19  31 

19  13 

1854 

1835 

18  15 

17  56 

10     00 

lO 

19  30 

19  14 

1858 

18  43 

18  27 

18  11 

17  54 

17  37 

17  20 

17  02 

16  45 

16  27 

10 

20 

17  44 

17  30 

17  16 

17  01 

16  47 

16  32 

16  17 

16  02 

15  46 

15  30 

15  14 

14  58 

20 

30 

15  58 

15  46 

15  33 

15  20 

15  07 

14  54 

14  40 

14  27 

14  13 

1358 

13  44 

13  28 

30 

40 

14  13 

14  01 

13  50 

1338 

13  27 

13  15. 

13  03 

12  51 

12  38 

12  25 

12  12 

II  59 

40 

50 

12  27 

12  17 

12  07 

II  57 

II  47 

II  36 

II  27 

11  15 

II  04 

10  52 

10  41 

10  30 

50 

n 

OO 

10  40 

10  31 

10  23 

10  14 

10  05 

t% 

948 

9  39 

9  29 

9  20 

9  10 

9  00 

11     00 

lO 

854 

8  47 

8  40 

832 

8  25 

8  10 

8  02 

7  54 

7  46 

738 

730 

10 

20 

708 

7  OI 

655 

6  50 

6  44 

638 

633 

6  26 

6  20 

6  14 

6  07 

6  00 

20 

30 

5  20 

516 

5  12 

5  07 

5  03 

4  59 

4  54 

4  49 

4  45 

4  40 

4  36 

4  30 

30 

40 

3  34 

3  31 

328 

3  25 

3  22 

3  19 

3  16 

3  14 

3  10 

3  07 

3  03 

3  00 

40 

50 

I  47 

I  45 

I  44 

I  42 

I  41 

I  40 

I  38 

I  37 

I  35 

I  33 

I  32 

I  30 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

1 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
•when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  deellnatlon  are  of  direrent  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  l)earing. 


256 


AZIMUTH  OR  TRUE  BEARING. 


liATlTUDE  68°. 

DECI.INATION— SAME  NAME  AS— 

IvATITUDE. 

liATITUDE  62°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

6»° 

70° 

Hour  Augle. 

b. 

m. 

o   / 

0  / 

0  / 

0  1 

0  I 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

b.    ni. . 

.  0 

OO 

i8o  oo 

180  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0    00 

10 

147  40 

128  52 

88m 

48  00 

27  54 

19  17 

14  12 

II  01 

852 

7  18 

6  06 

10 

20 

127  19 

no  32 

87  48 

64  23 

46  24 

34  25 

26  29 

21  04 

17  09 

14  14 

12  00 

20 

30 

"5  30 

102  17 

86  41 

70  35 

56  15 

44  49 

36  06 

29  31 

24  29 

20  35 

17  29 

30 

40 

107  59 

97  24 

^5  35 

73  23 

61  49 

51  40 

43  12 

36  18 

30  42 

26  09 

22  27 

40 

50 

102  43 

93  59 

84  28 

74  40 

65  05 

56  13 

48  21 

41  35 

3548 

30  57 

26  50 

50 

1 

OO 

98  44 

91  18 

83  22 

75  10 

67  01 

59  16 

52  05 

45  38 

39  56 

34  57 

30  38 

1    00 

lO 

95  30 

89  04 

82  16 

75  14 

68  09 

61  17 

54  46 

48  44 

43  14 

38  17 

33  53 

10 

20 

92  46 

87  07 

81  09 

75  00 

68  50 

6238 

56  41 

51  04 

45  49 

41  00 

36  37 

20 

30 

90  24 

85  20 

80  02 

74  34 

69  01 

63  28 

58  02 

52  50 

47  52 

43  13 

38  55 
40  48 

30  i 

40 

88  14 

83  41 

78  55 

74  00 

68  59 

63  57 

5858 

54  06 

49  26 

44  59 

40 

50 

86  17 

82  08 

77  49 

73  20 

68  46 

64  10 

59  34 

55  02 

50  38 

46  24 

42  20 

50 

2 

OO 

84  27 

80  39 

76  41 

72  36 

68  24 

64  10 

59  54 

55  40 

51  32 

47  29 

43  36 

2     00 

lO 

8244 

79  13 

75  34 

71  47 

67  55 

64  00 

60  02 

56  05 

52  10 

48  19 

44  35 

10 

20 

81  06 

77  59 

74  27 

70  57 

67  21 

63  41 

60  00 

56  17 

52  35 

48  56 

45  21 

20 

30 

79  31 

76  28 

73  19 

70  04 

66  42 

f3  18 

59  49 

56  20 

52  50 

49  21 

45  56 

30 

40 

77  59 

75  09 

72  II- 

69  08 

66  00 

62  48 

59  52 

56  15 

52  56 

'  49  38 

46  20 

40 

SO 

76  30 

73  50 

71  03 

68  II 

65  14 

62  13 

59  09 

56  03 

52  54 

49  45 

46  39 

50 

3 

OO 

75  03 

72  32 

69  55 

67  13 

64  26 

61  35 

5841 

55  44 

52  45 

49  45 

46  44 

3     00 

lO 

73  38 

71  14 

68  46 

66  13 

63  35 

60  54 

5809 

55  21 

52  31 

49  39 

46  45 

10 

20 

72  13 

6958 

67  37 

65  13 

62  43 

60  II 

57  34 

54  54 

52  12 

49  27 

46  41 

20 

30 

70  50 

68  40 

66  28 

64  10 

61  48 

59  24 

56  55 

54  22 

51  47 

49  II 

46  31 

30 

40 

69  28 

67  26 

65  19 

63  08 

60  M 
59  50 

5835 

56  12 

5348 

51  20 

48  50 

46  17 

40 

50 

68  07 

66  10 

64  09 

62  05 

57  45 

55  29 

53  10 

50  49 

48  25 

45  57 

50 

4 

OO 

66  46 

64  55 

62  59 

61  00 

58  57 

56  52 

54  42 

52  30 

50  14 

47  57 

45  35 

4     00 

lO 

6526 

63  40 

61  49 

59  55 

57  58 

5558 

53  54 

51  47 

49  37 

47  25 

45  09 

10 

20 

64  06 

62  24 

60  39 

5850 

5658 

55  02 

53  04 

51  03 

48  58 

46  50 

44  40 

20 

30 

62  47 

61  09 

59  28 

57  44 

■  55  56 

54  06 

52  II 

50  16 

48  16 

46  13 

44  08 

30 

40 

61  28 

59  54 

58  17 

56  37 

54  53 

5308 

51  19 

49  27 

47  32 

45  34 

43  34 

40 

50 

60  09 

5838 

57  05 

55  29 

53  50 

52  08 

50  24 

4837 

46  47 

44  54 

42  57 

SO 

5 

OO 

58  49 

57  22 

55  53 

54  21 

52  46 

51  09 

49  28 

47  45 

45  59 

44  10 

42  18 

5     00 

lO 

57  30 

56  06 

54  41 

53  12 

51  40 

50  07 

48  30 

46  51 

45  10 

43  25 

41  37 

10 

20 

56  10 

54  51 

53  28 

52  04 

50  36 

49  05 

47  32 

45  57 

44  19 

42  38 

40  55 

20 

30 

54  51 

53  34 

32  15 

50  53 

49  28 

48  02 

46  33 

45  02 

43  27 

41  50 

40  10 

30 

40 

53  32 

52  18 

51  OI 

49  43 

48  22 

4658 

45  32 

44  04 

42  33 

40  59 

^3l 

40 

50 

52  13 

51  02 

49  48 

48  32 

47  14 

45  54 

44  31 

43  06 

41  39 

40  09 

50 

6 

OO 

50  53 

49  44 

48  34 

47 '21 

46  05 

44  49 

43  29 

42  07 

40  42 

39  16 

37  47 

6     00 

lO 

49  33 

48  27 

47  19 

46  09 

44  57 

43  42 

42  26 

41  07 

39  46 

38  23 

36  57 

10 

20 

48  13 

47  10 

46  04 

44  56 

43  47 

42  35 

41  22 

40  06 

38  48 

37  28 

36  05 

20 

30 

46  53 

45  52 

44  49 

43  44 

42  36 

41  28 

40  16 

39  04 

37  49 

36  33 

35  13 

30 

40 

45  32 

44  34 

43  33 

42  30 

41  25 

40  20 

39  12 

38  01 

36  49 

.35  35 

34  19 

40 

50 

44  11 

43  14 

42  16 

41  17 

40  14 

39  II 

3806 

3658 

35  48 

•  34  38 

33  24 

50 

7 

OO 

42  51 

41  36 

41  00 

40  02 

39  03 

38  01 

3658 

35  54 

34  47 

33  38 

32  28 

7     00 

10 

41  29 

40  36 

39  42 

38  47 

37  50 

36  51 

35  51 

34  49 

33  45 

32  39 

31  31 

10 

20 

40  07 

39  17 

38  25 

37  31 

3636 

35  41 

34  43 

33  43 

32  42 

31  39 

30  33 

20 

30 

38  45 

37  57 

37  07 

36  17 

35  24 

34  29 

33  33 

32  37 

31  38 

30  37 

29  35 

30 

40 

37  23 

3*5  36 

35  49 

35  00 

34  10 

33  18 

32  25 

31  29 

30  33 

29  35 

28  35 

40 

50 

36  00 

35  16 

34  30 

33  44 

32  55 

32  06 

31  14 

30  22 

29  28 

28  33 

27  36 

50 

8 

OO 

34  36 

33  54 

33  II 

32  27 

31  40 

30  53 

30  04 

29  14 

28  23 

27  30 

26  35 

8     00 

lO 

33  14 

32  33 

31  51 

31  08 

30  24 

29  39 

28  53 

28  05 

27  16 

26  26 

25  33 

10 

20 

31  49 

31  12 

30  32 

29  51 

29  08 

28  26 

27  42 

2656 

26  09 

25  21 

24  31 

20 

30 

30  26 

29  49 

29  II 

28  32 

27  52 

27  12 

26  29 

25  46 

25  01 

24  16 

23  28 

30 

40 

29  02 

28  26 

27  51 

27  14 

26  35 

25  57 

25  16 

24  36 

23  54 

23  10 

22  25 

40 

50 

27  36 

27  04 

26  30 

25  54 

25  19 

24  42 

24  04 

23  25 

22  45 

22  04 

21  21 

50 

9 

OO 

26  II 

25  40 

25  08 

24  35 

24  01 

23  27 

22  51 

22  14 

21  36 

20  57 

20  16 

9     00 

lO 

24  46 

24  17 

23  46 

23  15 

22  43 

22  II 

21  37 

21  02 

20  27 

19  49 

19  II 

10 

20 

23  21 

22  53 

22  24 

21  55 

21  25 

20  55 

20  22 

19  50 

19  16 

18  42 

18  07 

20 

30 

21  55 

21  28 

21  02 

20  35 

20  06 

1938 

19  08 

18  38 

18  06 

17  33 

1658 

30 

40 

20  28 

20  04 

19  39 

19  14 

18  47 

18  20 

17  53 

17  24 

16  55 

16  26 

15  54 

40 

50 

19  02 

18  39 

18  16 

17  53 

17  28 

17  03 

16  37 

16  II 

15  44 

15  17 

14  47 

50 

lO 

OO 

17  35 

17  14 

16  53 

16  32 

16  09 

15  46 

15  22 

14  58 

14  33 

14  07 

13  41 

10     00 

10 

16  08 

15  49 

15  29 

15  09 

14  49 

14  28 

14  06 

13  44 

13  21 

12  57 

12  34 

10 

20 

14  40 

14  24 

14  06 

13  48 

13  29 

13  10 

12  50 

12  30 

12  10 

II  48 

II  26 

20 

30 

13  13 

12  58 

12  42 

12  25 

12  09 

II  52 

II  34 

II  16 

10  57 

10  38 

10  18 

30 

40 

11  46 

:i  32 

II  18 

II  04 

10  48 

10  32 

10  17 

10  02 

9  45 

9  28 

9  10 

40 

50 

10  18 

10  06 

9  53 

9  41 

9  28 

9  14 

9  01 

8  46 

832 

8  17 

8  02 

50 

11 

OO 

8  50 

8  39 

S  29 

8  17 

8  07 

■  7  55 

7  44 

7  31 

7  19 

706 

653 

11     00 

lO 

7  22 

7  13 

7  04 

655 

6  46 

637 

627 

6  17 

6  06 

556 

5  44 

10 

20 

5  54 

5  46 

5  40 

5  32 

5  24 

5  17 

5  09 

5  02 

4  53 

4  45 

4  35 

20 

30 

4  25 

4  20 

4  15 

4  10 

4  03 

358 

3  52 

3  46 

3  40 

3  34 

3  27 

30 

40 

256 

2  54 

2  50 

2  46 

2  42 

2  39 

2  35 

2  31 

2  26 

2  23 

2  18 

40 

50 

I  29 

I  26 

I  25 

I  24 

I  21 

I  20 

I  17 

I  15 

I  14 

I  II 

I  09 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


257 


AZIMUTH    OR   TRUE    BEARING. 


I.ATITVDE:  63°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

I^ATITUDE  63°. 

Hour  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

1 
Honr  Angle. 

h. 

m. 

O  1 

0  / 

0  1 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  1 

0  / 

0  / 

h.     ni. 

O 

OO 

i8o  oo 

180  00 

180  00 

180  00 

180  00 

180  00 

l8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0     00 

lO 

176  22 

176  19 

176  16 

176  12 

176  09 

176  06 

176  01 

175  58 

175  54 

175  48 

175  44 

175  39 

10  ; 

20 

172  45 

172  39 

172  33 

172  26 

172  19 

172  12 

172  04 

171  56 

171  47 

171  39 

171  28 

171  18 

20  1 

30 

169  10 

169  01 

168  51 

168  41 

16830 

168  20 

168  08 

167  56 

167  43 

167  30 

167  16 

167  00 

30  ; 

40 

165  35 

165  22 

165  II 

16458 

164  43 

164  29 

164  15 

16358 

163  42 

163  24 

163  06 

162  45 

40 

50 

162  01 

161  48 

i6l  32 

161  17 

161  00 

160  42 

160  24 

160  04 

159  43 

159  22 

158  59 

15836 

50 

1 

OO 

15833 

158  15 

157  58 

157  39 

157  19 

156  59 

156  37 

156  14 

155  51 

155  25 

154  59 

154  30 

1        00 

! 

lO 

155  05 

154  46 

154  26 

154  C4 

153  42 

153  19 

152  53 

152  28 

152  01 

151  33 

151  02 

150  31 

10 

20 

151  42 

151  20 

150  58 

150  34 

150  08 

149  43 

149  16 

148  48 

148  17 

147  46 

147  13 

14638 

20 

30 

148  21 

147  57 

147  33 

147  07 

146  39 

146  II 

145  41 

145  II 

144  39 

144  05 

143  29 

142  51 

30 

40 

145  04 

144  39 

144  13 

143  44 

143  15 

142  45 

142  14 

141  40 

141  06 

140  30 

139  52 

139  12 

40 

50 

141  52 

141  24 

140  56 

140  26 

139  56 

139  23 

138  51 

138  15 

137  40 

137  01 

136  21 

135  39 

50 

2 

OO 

13843 

138  14 

13744 

1^7  13 

136  40 

136  07 

135  32 

134  56 

134  18 

133  38 

132  56 

132  14 

n       00 

lO 

135  38 

135  08 

134  37 

134  04 

133  30 

132  56 

132  20 

131  42 

131  03 

130  22 

129  38 

12855 

10 

20 

132  37 

132.05 

131  34 

131  00 

130  25 

129  50 

129  12 

12833 

127  53 

127  II 

126  26 

125  41 

20 

30 

129  40 

129  08 

128  34 

128  00 

127  24 

126  47 

126  09 

125  29 

124  48 

124  06 

123  21 

122  34 

30  j 

40 

126  46 

126  12 

125  40 

125  04 

124  27 

123  49 

123  II 

122  30 

121  49 

121  05 

120  20 

119  34 

40 

50 

123  57 

123  23 

122  49 

122  12 

121  35 

120  58 

120  18 

"9  37 

"8  55 

118  12 

117  26 

116  39 

50  1 

3 

OO 

121  II 

120  36 

120  02 

119  25 

118  47 

118  09 

117  29 

116  49 

116  06 

115  22 

114  36 

113  50 

3       00 

lO 

118  28 

117  53 

117  18 

116  41 

116  03 

"5  24 

114  44 

114  03 

113  21 

112  37 

III  51 

III  04 

10  1 

20 

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114  38 

114  01 

:i3  22 

112  44 

112  04 

III  23 

no  40 

109  56 

109  n 

108  24 

20  1 

30 

"3  13 

112  38 

112  01 

III  25 

no  46 

no  08 

109  27 

108  46 

108  04 

107  20 

106  34 

105  48 

30  1 

40 

110  39 

no  04 

109  28 

108  51 

108  13 

107  34 

106  54 

106  13 

105  31 

104  47 

104  02 

103  16 

40 

50 

108  09 

107  34 

106  58 

106  20 

105  42 

105  04 

104  24 

103  43 

103  01 

102  18 

101  33 

10047 

50 

4 

OO 

105  41 

105  07 

104  31 

103  54 

103  16 

102  37 

loi  57 

loi  17 

100  35 

99  52 

9908 

98  23 

4     00  ' 

lO 

103  16 

102  41 

102  06 

loi  28 

100  50 

100  12 

99  33 

9853 

98  12 

97  29 

96  45 

96  01 

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20 

100  53 

100  iS 

99  43 

99  06 

98  29 

97  51 

97  12 

96  31 

95  51 

95  09 

94  26 

93  42 

20 

30 

9832 

97  58 

97  23 

96  46 

96  09 

95  31 

94  53 

94  13 

93  32 

92  51 

92  09 

91  26 
89  13 

30  i 

40 

96  14 

95  39 

95  04 

94  28 

93  52 

93  14 

92  36 

91  57 

91  17 

9036 

8954 

40  ! 

50 

93  57 

93  22 

92  48 

92  12 

91  36 

90  59 

90  21 

8943 

8904 

88  23 

8742 

87  00 

50 

5 

OO 

91  41 

91  07 

9032 

8958 

89  21 

8844 

88  08 

87  29 

8651 

86  II 

8531 

84  50 

5     00 

lO 

8927 

8853 

88  19 

8744 

87  09 

8633 

8556 

85  19 

8441 

84  02 

83  23 

82  42 

10 

20 

87  14 

86  41 

86  08 

8533 

8459 

84  23 

83  46 

83  10 

82  32 

81  54 

81  15 

8035 

20 

30 

8503 

84  30 

83  57 

83  23 

82  49 

82  13 

81  38 

81  01 

80  25 

79  47 

79  08 

78  30 

30 

40 

82  52 

82  20 

81  47 

81  14 

80  40 

8005 

79  30 

78  55 

78  19 

77  42 

77  04 

76  26 

40 

50 

8043 

80  11 

79  39 

79  06 

7832 

77  59 

77  24 

7648 

76  14 

7538 

75  01 

74  24 

50 

6 

OO 

7835 

78  02 

77  31 

7658 

76  26 

75  52 

75  18 

74  44 

74  10 

73  34 

72  59 

72  22 

6     00 

10 

76  25 

75  54 

75  24 

74  52 

74  19 

73  46 

73  13 

72  40 

72  06 

71  31 

7056 

70  21 

10 

20 

74  19 

73  49 

73  18 

72  47 

72  15 

71  42 

71  10 

70  37 

70  05 

69  30 

68  56 

68  21 

20 

30 

72  12 

71  41 

71  12 

70  40 

70  10 

6938 

69  06 

6834 

68  02 

67  28 

6655 

66  21 

30 

40 

70  05 

6935 

69  06 

6835 

6805 

67  35 

67  03 

6632 

66  00 

65  28 

64  54 

64  22 

40 

50 

6758 

67  29 

•67  00 

6631 

66  01 

65  32 

65  00 

64  30 

63  59 

63  27 

62  55 

62  23 

50 

7 

OO 

65  52 

65  23 

64  55 

64  26 

63  57 

63  28 

62  58 

62  29 

6i  58 

61  27 

6056 

60  25 

7     00 

lO 

63  46 

63  17 

62  50 

62  22 

6153 

61  25 

6056 

60  26 

59  57 

59  27 

5856 

58  26 

10 

20 

61  39 

61  12 

6045 

60  18 

59  50 

59  22 

58  54 

58  25 

57  57 

57  27 

5658 

56  28 

20 

30 

59  32 

59  07 

5840 

58  14 

57  47 

57  19 

56  52 

56  24 

55  56 

55  28 

54  59 

54  31 

30 

40 

57  26 

57  00 

5636 

56  08 

55  43 

55  16 

54  50 

54  22 

53  56 

53  28 

53  00 

52  32 

40 

50 

55  20 

54  54 

54  30 

5404 

53  39 

53  14 

52  47 

52  22 

51  55 

51  29 

51  02 

50  35 

50 

8 

OO 

53  13 

52  49 

52  24 

52  00 

51  34 

51  09 

50  45 

50  19 

49  54 

49  28 

49  02 

48  36 

8     00 

lO 

51  05 

50  42 

50  18 

49  54 

49  31 

49  07 

48  42 

48  18 

47  54 

47  29 

47  03 

4638 

10 

20 

4858 

48  34 

48  12 

47  49 

4726 

47  02 

46  39 

46  16 

45  52 

45  28 

45  04 

44  40 

20 

30 

46  49 

46  27 

46  06 

45  43 

45  21 

4458 

44  36 

44  13 

43  50 

43  27 

43  04 

42  42 

30 

40 

44  41 

44  19 

43  58 

43  37 

43  16 

42  54 

42  32 

42  10 

41  49 

41  27 

41  05 

4043 

40 

50 

42  31 

42  II 

41  51 

41  30 

41  09 

4049 

40  28 

40  08 

39  46 

39  26 

39  04 

38  43 

50 

9 

OO 

40  21 

40  02 

39  43 

39  23 

39  <^ 

3543 

3824 

3804 

37  44 

37  24 

37  04 

36  43 

9     00 

lO 

38  II 

37  52 

37  34 

37  16 

3656 

3638 

36  19 

36  00 

35  42 

35  22 

35  03 

34  44 

10 

20 

36  01 

35  42 

35  25 

35  07 

34  49 

34  32 

34  13 

33  56 

33  39 

33  20 

33  02 

32  44 

20 

30 

33  49 

33  32 

33  15 

3258 

32  42 

32  25 

32  08 

31  52 

31  35 

31  17 

31  00 

30  43 

30 

40 

31  36 

31  20 

31  05 

30  50 

30  34 

30  18 

30  02 

29  46 

29  31 

29  14 

2858 

28  42 

40 

50 

29  23 

29  09 

28  54 

28  40 

28  25 

28  II 

27  55 

27  41 

27  26 

27  II 

26  57 

26  41 

50 

lO 

OO 

27  II 

26  57 

26  44 

26  30 

26  16 

26  03 

25  49 

25  35 

25  21 

25  07 

24  53 

24  40 

10     00 

10  • 

24  56 

24  44 

24  32 

24  19 

24  06 

23  54 

23  41 

23  29 

23  16 

23  02 

22  50 

22  37 

10 

20 

22  43 

22  31 

22  20 

22  08 

21  57 

21  45 

21  34 

21  22 

21  II 

20  58 

20  46 

20  35 

20 

30 

20  28 

20  18 

20  07 

19  57 

19  47 

19  36 

19  26 

19  15 

19  04 

18  54 

1843 

1833 

30 

40 

18  12 

18  04 

17  54 

17  45 

17  35 

17  27 

17  17 

17  08 

1658 

16  48 

16  39 

16  29 

40 

50 

15  57 

15  49 

15  41 

15  33 

15  25 

15  16 

15  08 

15  00 

14  52 

14  43 

14  35 

14  27 

50 

11 

OO 

13  41 

13  35 

13  27 

13  21 

13  14 

13  06 

12  59 

12  52 

12  45 

12  37 

12  30 

12  23 

11     00 

lO 

II  25 

II  19 

"  13 

II  07 

II  01 

10  55 

10  49 

10  43 

10  38 

10  32 

10  25 

10  20 

10 

20 

9  oS 

9  03 

859 

8  54 

849 
638 

845 

8  40 

8  36 

831 

825 

8  21 

8  16 

20 

30 

652 

6  48 

644 

6  40 

6  34 

6  30 

6  26 

623 

6  19 

615 

6  12 

30 

40 

4  34 

4  32 

4  30 

428 

4  25 

4  22 

4  20 

4  18 

4  15 

4  13 

4  II 

4  08 

40 

50 

2  17 

2  16 

2  14 

2  14 

2  12 

2  12 

2  10 

2  09 

2  08 

2  07 

2  06 

2  04 

50 

18 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Jforth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  ^st;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


41224°— 16- 


-17 


258 


AZIMUTH    OR  TRUE    BEARING. 


liATITUDX:  63°. 

DECt,INATION- 

-SAME  NAME  AS— I^ATITUDE. 

liATITUDE  63°. 

Hour 

Angle. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

h. 

ni. 

O   ' 

0  ' 

0  ' 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  / 

0  / 

li.    ni. 

O 

OO 

i8o  00 

180  00 

180  00 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

175  33 

175  27 

175  21 

175  13 

175  06 

174  58 

174  49 

174  39 

174  29 

174  18 

174  04 

173  50 

10 

SO 

171  08 

170  55 

170  42 

170  29 

170  14 

169  59 

169  41 

169  22 

169  01 

168  38 

168  12 

167  44 

ao 

30 

166  44 

166  27 

166  08 

165  47 

165  26 

165  03 

164  37 

164  09 

163  40 

163  06 

162  29 

16 1  47 

30 

40 

162  24 

162  03 

161  38 

161  11 

160  43 

160  13 

159  40 

159  05 

158  25 

157  42 

156  55 

156  02 

40 

50 

158  13 

157  42 

157  12 

156  42 

156  07 

155  31 

154  51 

154  09 

153  21 

152  31 

151  34 

15°  31 

50 

1 

OO 

154  00 

153  28 

152  55 

152  18 

151  40 

150  57 

150  12 

149  23 

148  30 

147  32 

146  28 

145  18 

1     00 

lO 

149  57 

149  21 

148  44 

148  03 

147  20 

146  32 

145  42 

144  48 

143  50 

142  46 

141  37 

140  22 

10 

ao 

146  01 

145  22 

144  40 

143  57 

143  09 

142  19 

141  24 

140  26 

139  23 

138  15 

137  02 

135  42 

ao 

30 

142  12 

141  30 

140  45 

139  58 

139  08 

138  14 

137  17 

136  15 

135  09 

13.-  58 

132  41 

131  18 

30 

40 

138  30 

137  46 

136  59 

136  09 

135  17 

134  19 

133  20 

132  17 

131  07 

129  54 

128  34 

127  n 

40 

50 

134  56 

134  09 

133  20 

132  29 

131  35 

130  36 

129  34 

128  29 

127  19 

126  04 

124  45 

123  19 

50 

2 

OO 

131  28 

130  39 

129  50 

128  56 

12S  00 

127  01 

125  58 

12452 

123  41 

122  25 

121  05 

119  40 

a    00 

lO 

128  08 

127  18 

126  27 

'25  33 

-•24  36 

123  36 

122  32 

121  25 

120  T3 

118  58 

117  38 

116  14 

10 

20 

124  54 

124  04 

123  12 

122  16 

121  19 

120  19 

119  15 

118  08 

116  56 

115  41 

114  22 

112  58 

20 

30 

121  46 

120  55 

120  03 

119  07 

118  10 

117  09 

116  05 

114  59 

113  48 

112  34 

III  15 

109  52 

30 

40 

118  46 

"7  54 

117  01 

116  06 

115  09 

114  08 

113  04 

III  57 

no  47 

109  34 

108  17 

106  56 

40 

50 

"5  50 

114  59 

114  06 

113  II 

112  14 

III  13 

no  10 

109  04 

107  55 

106  43 

105  27 

104  08 

50 

3 

OO 

113  00 

112  10 

11^  16 

no  22 

109  25 

ic8  25 

107  23 

106  18 

105  10 

103  58 

102  44 

loi  27 

3    00 

lO 

no  16 

109  25 

108  32 

107  38 

106  41 

105  43 

104  41 

103  37 

102  30 

101  21 

100  08 

98  52 

10 

20 

107  36 

106  45 

105  53 

104  59 

104  04 

103  06 

102  05 

101  02 

9956 

9848 

97  37 

96  23 

20 

30 

105  00 

104  10 

103  18 

102  25 

101  30 

100  33 

99  33 

9832 

97  28 

96  21 

95  12 

94  00 

30 

40 

102  29 

loi  39 

100  48 

99  56 

99  02 

9805 

97  07 

96  07 

95  04 

93  59 

92  51 

91  41 

40 

50 

100  CI 

99  12 

98  21 

97  30 

96  37 

95  42 

94  44 

93  45 

92  44 

91  41 

90  35 

8927 

50 

4 

OO 

97  37 

96  48 

96  00 

95  09 

94  17 

93  22 

92  26 

91  28 

90  28 

89  26 

88  22 

87  16 

4    00 

lO 

95  ^5 

94  27 

93  40 

92  49 

.91  59 

91  05 

90  10 

89  14 

88  15 

87  15 

86  12 

85  09 

10 

20 

92  57 

92  10 

91  22 

90  34 

89  44 

8852 

8758 

87  03 

86  05 

85  06 

84  07 

83  04 

20 

30 

90  42 

8956 

89  09 

88  21 

87  32 

86  40 

85  48 

84  54 

8359 

83  01 

82  02 

81  02 

30 

40 

88  29 

8743 

8658 

86  II 

85  22 

8433 

83  41 

82  49 

81  54 

8059 

80  02 

79  02 

40 

50 

86  17 

8533 

84  49 

84  02 

83  15 

82  26 

81  37 

8045 

79  52 

7858 

78  02 

77  05 

50 

5 

OO 

84  08 

83  25 

82  41 

81  56 

81  09 

80  22 

79  33 

7843 

77  52 

76  59 

76  04 

75  09 

5    00 

10 

82  01 

81  18 

8035 

79  51 

79  06 

78  19 

77  31 

76  43 

75  53 

75  01 

74  09 

73  14 

10 

ao 

79  56 

79  13 

78  31 

77  48 

77  05 

76  18 

75  32 

74  45 

73  56 

73  06 

72  14 

71  22 

20 

30 

77  50 

77  10 

76  28 

75  47 

75  04 

74  19 

73  34 

72  48 

72  00 

71  II 

70  21 

69  30 

30 

40 

75  47 

75  07 

74  27 

73  45 

73  04 

72  20 

71  36 

70  52 

70  05 

69  18 

68  29 

67  40 

40 

50 

73  46 

73  07 

72  28 

71  48 

71  06 

70  25. 

69  41 

68  58 

68  12 

67  26 

6639 

6552 

50 

6 

OO 

71  45 

71  06 

70  28 

69  49 

69  09 

68  28 

67  46 

67  04 

66  19 

65  35 

64  49 

64  02 

6     00 

10 

69  44 

69  07 

68  29 

67  51 

67  13 

66  32 

65  51 

65  10 

64  27 

'  63  43 

62  59 

62  IS 

10 

ao 

67  46 

67  09 

6633 

6556 

6518 

6438 

6358 

63  19 

62  37 

61  54 

61  !2 

60  28 

20 

30 

65  47 

65  II 

6436 

63  59 

63  22 

62  44 

62  06 

61  27 

60  47 

60  05 

59  24 

58  41 

30 

40 

63  48 

63  14 

62  39 

62  04 

61  28 

60  51 

60  13 

59  36 

5856 

58  15 

57  36 

5656 

40 

50 

61  51 

61  16 

60  43 

60  08 

59  34 

5858 

58  22 

57  45 

57  06 

56  28 

55  49 

55  09 

50 

7 

OO 

59  53 

59  20 

5847 

58  14 

57  41 

57  06 

56  30 

55  54 

55  17 

54  41 

54  02 

5324 

7     00 

lO 

57  55 

57  23 

56  51 

56  19 

55  46 

55  12 

54  39 

54  04 

53  28 

52  52 

52  15 

51  38 

10 

ao 

55  58 

55  27 

54  56 

54  24 

53  53 

53  21 

52  47 

52  14 

51  40 

51  C4 

50  29 

49  54 

20 

30 

54  01 

53  31 

53  02 

52  31 

52  00 

51  28 

50  57 

50  25 

49  51 

49  17 

48  43 

48  09 

30 

40 

52  04 

51  35 

51  06 

50  37 

50  07 

49  36 

49  06 

48  35 

48  02 

47.29 

46  57 

46  23 

40 

50 

50  07 

49  39 

49  II 

48  42 

48  14 

47  44 

47  14 

46  45 

46  14 

45  42 

45  II 

44  39 

50 

8 

oo 

48  09 

47  42 

47  16 

46  48 

46  21 

45  52 

45  23 

44  54 

44  25 

43  54 

43  25 

4253 

8     00 

lO 

46  12 

45  46 

45  20 

44  54 

44  28 

44  00 

43  33 

43  05 

42  36 

42  07 

41  38 

41  08 

10 

ao 

44  15 

43  49 

43  25 

43  00 

42  34 

42  08 

41  41 

41  15 

40  47 

40  19 

39  52 

39  23 

20 

30 

42  17 

41  54 

41  30 

41  05 

40  41 

40  15 

39  50 

39  25 

3858 

38  32 

38  05 

37  37 

30 

40 

40  20 

39  56 

39  34 

39  10 

3847 

38  22 

37  59 

37  34 

37  09 

36  43 

36  18 

35  52. 

40 

50 

38  21 

37  59 

37  38 

37  15 

36  52 

36  3.0 

3606 

35  43 

35  20 

34  56 

34  31 

34  07 

50 

O 

oo 

36  23 

36  02 

35  40 

35  20 

3458 

34  36 

34  14 

33  53 

33  29 

33  06 

32  44 

32  20 

»     00 

lO 

34  23 

34  04 

33  44 

33  24 

33  04 

32  44 

32  22 

32  01 

31  39 

31  19 

30  56 

30  34 

10 

ao 

32  25 

32  06 

31  48 

31  28 

31  09 

30  49 

30  30 

30  II 

29  50 

29  29 

29  09 

28  48 

20 

30 

30  25 

30  07 

29  50 

29  32 

29  14 

28  55 

2837 

28  19 

28  00 

27  40 

27  21 

27  02 

30 

40 

28  26 

28  09 

27  52 

27  36 

27  19 

27  02 

26  45 

26  27 

26  09 

25  51 

25  32 

25  15 

40 

50 

26  26 

26  09 

25  55 

25  39 

25  23 

.  25  07 

24  51 

24  34 

24  18 

24  01 

23  45 

23  28 

50 

lO 

oo 

24  25 

24  10 

23  57 

23  42 

23  27 

23  13 

22  57 

22  42 

22  27 

22  12 

21  56 

21  40 

^  10     00 
10 

10 

22  24 

22  II 

21  58 

21  44 

21  31 

21  17 

21  03 

20  50 

20  36 

20  22 

20  07 

19  53 

20 

20  23 

20  11 

19  59 

19  47 

19  35 

19  22 

19  10 

18  58 

18  44 

18  32 

18  18 

18  05 

20 

30 

18  21 

18  11 

18  00 

17  49 

1738 

17  27 

17  15 

17  04 

16  53 

16  41 

16  29 

16  17 

30 

40 

16  20 

16  10 

16  01 

15  51 

15  41 

15  31 

15  21 

15  II 

15  00 

14  50 

14  39 

14  29 

40 

50 

14  18 

14  10 

14  01 

13  53 

13  44 

13  35 

13  26 

13  17 

13  09 

12  59 

12  50 

12  40 

50 

11 

OO 

12  16 

12  08 

12  01 

II  53 

II  47 

II  39 

II  31 

II  23 

II  15 

n  08 

n  00 

10  53 

11     00 

lO 

10  13 

10  08 

10  01 

9  55 

9  50 

9  43 

9  37 

9  31 

9  23 

9  17 

9  12 

9  04 

10 

ao 

8  II 

8  06 

8  01 

756 

7  51 

7  46 

7  41 

7  37 

7  31 

7  26 

7  21 

7  15 

20 

30 

6  08 

6  05 

6  or 

5  57 

5  54 

5  50 

5  46 

5  42 

538 

5  34 

5  30 

5  27 

30 

40 

4  06 

4  04 

4  01 

3  59 

356 

3  54 

3  51 

3  48 

3  46 

3  43 

3  40 

3  37 

40 
50 

50 

2  03 

2  02 

2  01 

I  59 

I  58 

I  57 

I  55 

I  54 

I  53 

I  51 

I  50 

I  48 

la 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


259 


AZIMUTH  OR  TRUE  BEARING. 


IiATITUDE  63°. 

DECLINATION— 

SAME  NAME  AS— LATITUDE 

LATITUDE  63-. 

Honr  Angle. 

i  48° 

490 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

5»° 

Hoar  Angle. 

b.    m. 

1 

!  °  ' 

0  / 

0  / 

0  / 

0  / 

0  / 

0  f 

0  / 

0  / 

0  / 

0  / 

0  ' 

h.    m. 

O     OO 

'  i8o  OO 

180  00 

180  00 

180  00 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

173  33 

173  14 

172  53 

172  28 

171  58 

171  23 

170  40 

169  47 

168  38 

167  08 

165  05 

162  02 

10 

20 

167  II 

16635 

165  53 

165  04 

164  08 

163  00 

161  39 

159  59 

157  53 

155  II 

151  35 

146  35 

20 

30 

161  01 

160  08 

159  08 

157  59 

156  39 

155  04 

153  13 

150  58 

148  II 

144  42 

140  14 

134  24 

30 

40 

155  03 

153  56 

152  42 

151  17 

149  38 

147  43 

145  29 

142  50 

139  39 

135  46 

130  59 

125  04 

40 

50 

149  23 

148  05 

146  39 

145  00 

143  09 

141  00 

13832 

135  40 

132  17 

128  16 

123  31 

117  50 

50 

1     OO 

144  01 

142  36 

141  00 

139  13 

137  13 

134  56 

132  20 

129  22 

125  56 

121  58 

117  23 

112  06 

1     00 

lO 

138  59 

137  26 

135  45 

133  52 

131  47 

129  26 

126  47 

123  49 

120  26 

116  37 

112  17 

107  24 

10 

20 

134  15 

13238 

130  54 

128  58 

126  50 

124  29 

121  50 

118  55 

115  39 

112  00 

107  57 

103  26 

20 

30 

129  50 

128  II 

126  24 

124  27 

122  19 

"9  57 

117  24 

U4  33 

III  25 

107  58 

104  10 

100  01 

30 

40 

125  39 

124  01 

122  14 

120  18 

118  II 

"5  53 

113  22 

no  38 

107  39 

104  23 

100  51 

97  00 

40 

50 

121  47 

120  08 

iiS  22 

116  27 

114  23 

112  09 

109  43 

107  05 

104  15 

loi  11 

97  52 

94  19 

50 

2     OO 

118  09 

116  30 

"4  45 

112  52 

110  52 

108  41 

106  21 

103  51 

loi  09 

98  15 

95  10 

91  50 
8933. 

2     00 

lO 

114  43 

113  06 

III  23 

109  33  i  107  36 

105  30 

103  15 

100  52 

98  18 

95  34 

92  39 

10 

20 

III  29 

109  54 

108  14 

106  27 

104  33 

102  32 

100  23 

9805 

95  40 

93  05 

90  20 

87  26 

20 

30 

108  25 

106  52 

105  14 

103  30 

loi  40 

99  44 

97  41 

95  29 

93  II 

90  44 

88  10 

8525 

SO 

40 

105  30 

103  59 

102  25 

100  44 

9859 

97  06 

95  07 

93  03 

90  50 

88  32 

86  05 

83  31 

40 

50 

102  44 

loi  16 

99  45 

9807 

96  25 

94  37 

92  43 

9043 

88  38 

86  26 

84  07 

81  41 

50 

3     OO 

100  06 

9840 

97  " 

95  37 

9358 

92  14 

90  26 

8831 

86  32 

84  26 

82  14 

79  56 

3     00 

lO 

97  33 

96  10 

94  43 

93  12 

91  37 

8958 

88  13 

86  24 

84  29 

82  30 

80  25 

78  13 

10 

20 

95  07 

93  46 

92  23 

90  54 

89  22 

87  47 

86  06 

84  22 

82  32 

8038 

7838 

76  34 

20 

30 

92  46 

91  27 
89  13 

90  06 

88  41 

87  12 

85  40 

8404 

82  23 

80  38 

78  50 

7656 

74  57 

30 

40 

§2  ^ 

8754 

8632 

8507 

8338 

82  05 

80  29 

7849 

77  04 

75  15 

73  22 

40 

60 

88  16 

8703 

85  47 

8427 

83  05 

81  39 

80  ID 

78  37 

77  01 

75  21 

73  37 

71  49 

50 

4     OO 

86  08 

8456 

8343 

82  25 

81  06 

79  44 

78  18 

76  49 

75  17 

73  41 

72  or 

70  iS 

4     00 

lO 

84  02 

82  52 

81  41 

So  27 

79  10 

77  50 

76  28 

75  02 

73  34 

72  02 

70  26 

68  48 

10 

20 

81  59 

80  52 

79  43 

78  31 

77  17 

76  01 

74  41 

73  18 

71  53 

70  25 

6853 

67  18 

20 

30 

79  59 

7f  54 

77  47 

76  37 

75  26 

74  12 

72  55 

71  36 

70  14 

6849 

67  21 

65  50 

30 

40 

78  01 

7658 

75  54 

74  46 

73  37 

72  25 

71  II 

69  55 

68  36 

67  14 

65  50 

64  22 

40 

50 

76  06 

75  04 

74  02 

72  56 

71  50^ 

70  41 

69  29 

68  15 

6659 

65  40 

64  19 

62  55 

50 

5     OO 

74  " 

73  « 

72  n 

71  07 

70  03 

6e57 

67  47 

6637 

65  24 

64  08 

62  49 

61  29 

5     00 

lO' 

72  19 

71  21 

70  22 

69  21 

68  19 

67  14 

6608 

64  59 

6348 

6236 

61  20 

60  02 

10 

20 

70  27 

69  33 

6835 

6736 

6635 

6533 

64  29 

63  22 

62  14 

61  05 

59  52 

5836 

20 

30 

6838 

67  44 

66  49 

05  52 

64  53 

6352 

62  51 

61  47 

60  41 

59  33 

58  23 

57  12 

30 

40 

66  49 

6557 

65  03 

64  08 

63  II 

62  12 

61  13 

60  II 

59  08 

58  03 

5655 

55  45 

40 

50 

65  02 

64  II 

63  19 

62  25 

61  31 

60  34 

59  37 

58  36 

57  36 

56  32 

55  28 

54  21 

50 

6     OO 

^3  15 

6226 

61  35 

60  43 

59  51 

5855 

58  00 

57  02 

56  04 

55  02 

54  00 

52  55 

6     00 

lO 

61  28 

60  41 

59  51 

59  02 

58  10 

57  18 

56  24 

5528 

54  31 

53  33 

52  33 

51  30 

10 

20 

59  44 

5857 

58  10 

57  22 

56  32 

55  42 

54  49 

53  55 

53  01 

52  04 

51  05 

50  05 

20 

30 

57  54 

57  13 

56  28 

55  40 

54  52 

54  03 

53  13 

52  21 

51  28 

50  34 

49  38 

48  41 

30 

40 

56  13 

55  30 

54  46 

54  00 

53  14 

52  26 

51  38 

5048 

49  57 

49  04 

48  II 

47  15 

40 

50 

54  29 

53  47 

53  04 

52  20 

51  36 

50  50 

50  03 

49  15 

48  26 

47  35 

4643 

45  49 

50 

7     OO 

52  45 

52  05 

51  23 

50  41 

4958 

49  14 

48  28 

47  42 

46  54 

46  06 

45  15 

44  25 

7     00 

lO 

51  00 

50  22 

49  41 

49  01 

48  19 

47  37 

46  53 

46  08 

45  23 

44  36 

43  48 

42  58 

10 

20 

49  17 

4839 

48  00 

47  21 

46  41 

46  00 

45  18 

44  35 

43  52 

43  06 

42  20 

41  33 

20 

30 

47  33 

46  57 

46  20 

45  41 

45  04" 

44  24 

43  44 

43  02 

42  20 

41  37 

40  52 

40  07 

30 

40 

45  49 

45  14 

44  39 

44  02 

43  26 

42  48 

42  09 

41  29 

40  49 

40  07 

39  25 

3841 

40 

50 

44  06 

43  32 

4258 

42  23 

41  49 

41  II 

40  34 

39  56 

39  16 

38  37 

37  57 

37  14 

50 

8     OO 

42  22 

41  49 

41  16 

40  43 

40  09 

39  33 

3857 

38  21 

37  44 

37  06 

3628 

35  48 

8     00 

lO 

40  38 

40  07 

39  35 

3904 

38  31 

37  57 

37  24 

36  48 

36  13 

35  36 

34  59 

34  21 

10 

20 

38  54 

38  24 

37  55 

37  23 

36  52 

36  21 

3548 

35  14 

34  41 

34  06 

33  30 

32  54 

20 

30 

37  10 

36  42 

36  13 

35  43 

35  14 

34  43 

34  12 

33  40 

3308 

32  35 

32  01 

31  26 

30 

40 

35  26 

34  59 

34  32 

34  02 

33  35 

33  06 

32  36 

32  06 

31  36 

31  04 

30  32 

^58 

40 

50 

33  41 

33  16 

32  50 

32  23 

31  56 

31  28 

31  01 

30  32 

30  03 

29  32 

29  02 

28  31 

50 

9           OO 

31  56 

31  32 

31  07 

30  42 

30  17 

29  51 

29  24 

2857 

28  29 

28  01 

27  32 

27  02 

8     00 

lO 

30  II 

29  49 

29  26 

29  01 

2837 

28  13 

27  47 

27  22 

2656 

26  29 

26  01 

25  33 

10 

20 

28  27 

28  05 

27  43 

27  21 

2658 

2635 

26  II 

25  46 

25  22 

24  57 

24  32 

24  05 

20 

30 

26  41 

26  21 

26  00 

25  40 

25  18 

24  56 

24  34 

24  II 

2348 

23  25 

23  00 

22  36 

30 

40 

24  55 

24  37 

24  17 

2358 

23  38 

23  17 

22  57 

22  36 

22  14 

21  52 

21  30 

21  07 

40 

50 

23  10 

22  52 

22  34 

22  16 

21  58 

21  39 

21  19 

21  00 

20  40 

20  20 

19  59 

19  37 

50 

lO     OO 

21  24 

21  08 

20  52 

20  35 

20  17 

19  59 

19  42 

19  24 

19  06 

18  46 

18  28 

18  07 

10     00 

lO 

19  38 

19  23 

19  08 

18  52 

18  36 

18  20 

18  04 

17  48 

17  31 

17  13 

16  56 

16  37 

10 

20 

17  52 

17  38 

17  24 

17  10 

1656 

16  41 

16  26 

16  II 

15  56 

15  40 

15  25 

15  08 

20 

30 

16  05 

15  53 

15  40 

15  27 

15  15 

15  01 

14  49 

14  35 

14  21 

14  07 

13  53 

•3  37 

30 

40 

14  19 

14  07 

13  56 

13  45 

13  33 

13  22 

13  10 

12  58 

12  46 

12  33 

12  20 

12  07  ( 

40 

50 

12  31 

12  22 

12  13 

12  03 

II  52 

II  42 

II  31 

11  21 

II  II 

10  59 

10  48 

10  36 

50 

11     OO 

10  44 

10  36 

10  28 

10  19 

10  II 

10  02 

9  53 

944 

9  34 

9  25 

9  16 

9  06 

11     00 

lO 

857 

850 

843 

836 

8  29 

8  22 

8  15 

8  07 

7  59 

7  51 

7  43 

7  35 

10 

20 

7  10 

7  05 

6  59 

653 

6  48 

6  41 

635 

6  30 

6  23 

617 

6  II 

6  05 

20 

30 

5  23 

5  18 

5  14 

5  10 

5  05 

5  01 

4  57 

4  52 

448 

4  43 

438 

4  33 

30 

40 

3  35 

3  33 

3  30 

3  27 

3  24 

3  21 

3  18 

3  15 

3  12 

3  09 

3  05 

3  02 

40 

SO 

I  47 

I  46 

I  44 

I  43 

I  42 

I  40 

I  39 

1  37 

I  36 

I  35 

I  33 

I  31 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

p  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are- reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


260 


AZIMUTH  OR  TRUE   BEARING. 


liATITUDE:  63°. 

DECLINATION— SAME  NAME  AS- 

LATITUDE. 

liATITUDE  63°. 

Sour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

b. 

ni. 

O   ' 

0  1 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0 

It.    ni. 

O 

OO 

i8o  OO 

180  00 

180  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

10 

157  12 

148  29 

129  46 

88 '53 

47  01 

27  36 

18  37 

13  40 

10  35 

8  29 

6  58 

10 

20 

139  17 

128  13 

III  II 

8746 

6338 

45  23 

33  26 

25  36 

20  15 

16  28 

13  37 

20 

30 

126  38 

116  15 

102  45 

86  39 

70  02 

55  21 

43  46 

35  02 

28  30 

23  33 

19  43 

30 

40 

117  41 

108  36 

97  45 

85  33 

72  55 

61  02 

50  41 

42  07 

35  12 

29  38 

25  09 

40 

50 

III  06 

103  14 

94  14 

84  26 

74  17 

64  24 

55  19 

47  19 

40  27 

34  41 

29  50 

50 

1 

OO 

106  01 

99  08 

91  30 
89  14 

83  19 

74  50 

66  25 

58  26 

51  05 

44  34 

38  47 

33  47 

1     00 

10 

loi  55 

95  51 

82  II 

74  55 

67  37 

60  ^2 

53  50 

47  40 

42  05 

37  06 

10 

20 

98  28 

93  03 

87  14 

81  04 

74  42 

68  15 

61  55 

55  49 

50  04 

44  43 

39  50 

20 

30 

95  30 

90  37 

85  26 

79  57 

74  17 

!^33 

62  49 

57  13 

51  52 

46  47 

42  04 

30 

40 

92  52 

88  27 

83  45 

78  49 

73  45 

6833 

63  21 

58  12 

53  12 

48  24 

43  51 

40 

50 

90  30 

86  26 

82  10 

77  42 

73  05 

68  21 

6336 

58  50 

54  10 

49  39 

45  18 

50 

2 

OO 

88  19 

8435 

80  40 

76  34 

72  21 

68  00 

63  37 

59  19 

54  51 

50  35 

46  26 

2     00 

lO 

86  17 

82  50 

79  13 

75  26 

71  33 

^l  ^l 

63  28 

59  23 

55  17 

51  15 

47  18 

10 

20 

84  23 

81  II 

77  49 

74  19 

70  42 

66  58 

63  12 

59  21 

55  32 

51  43 

47  57 

20 

30 

82  34 

79  34 

76  26 

73  10 

69  48 

66  21 

62  49 

59  13 

55  36 

51  59 

48  24 

30 

40 

80  49 

78  01 

75  04. 

72  02 

6852 

6538 

62  20 

5857 

55  33 

52  07 

48  42 

40 

50 

79  10 

7631 

73  45 

70  53 

6756 

64  53 

61  46 

5835 

55  22 

52  06 

4851 

50 

3 

OO 

77  33 

75  03 

72  27 

69  45 

66  58 

64  06 

61  09 

5808 

55  05 

51  59 

4f  53 

3     00 

lO 

75  57 

73  36 

71  09 

65  57 

63  15 

60  28 

57  37 

54  43 

51  46 

48  48 

10 

20 

74  26 

72  10 

69  51 

67  26 

64  57 

62  22 

59  44 

57  01 

54  16 

51  28 

48  37 

20 

30 

72  55 

70  47 

68  34 

66  17 

63  55 

61  28 

5858 

56  24 

53  47 

51  06 

48  22 

30 

40 

71  26 

69  24 

67  18 

65  07 

62  52 

60  33 

58  10 

55  42 

53  13-' 

50  39 

48  03 

40 

50 

69  57 

68  02 

66  01 

63  57 

61  49 

59  36 

57  20 

54  59 

52  36 

50  09 

47  39 

50 

4 

OO 

6832 

66  40 

64  45 

62  47 

60,45 

58  37 

56  27 

54  14 

51  56 

49  36 

47  13 

4     00 

lO 

67  05 

65  19 

63  29 

61  36 

.  59  39 

57  38 

55  34 

53  25 

51  14 

49  00 

4641 

10 

20 

65  40 

6358 

62  14 

60  25 

58  34 

56  37 

54  39 

52  36 

50  30 

48  21 

46  08 

20 

30 

64  16 

62  38 

6058 

59  14 

57  26 

55  35 

53  42 

51  44 

11 

4740 

45  33 

30 

40 

62  52 

61  18 

59  43 

5803 

56  20 

54  34 

52  44 

50  51 

46  57 

44  55 

40 

50 

61  29 

59  59 

58  27 

56  51 

55  12 

53  30 

51  46 

49  57 

48  06 

46  12 

44  14 

50 

5 

00 

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58  39 

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55  38 

54  03 

52  26 

50  45 

49  01 

47  15 

45  25 

43  32 

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58  43 

57  19 

55  54 

54  26 

52  55 

51  21 

49  44 

48  05 

46  22 

44  36 

42  43 

10 

20 

57  19 

56  00 

54  38 

53  13 

51  46 

50  15 

48  42 

47  07 

45  28 

43  47 

42  02 

20 

30 

55  57 

54  41 

53  21 

52  00 

50  35 

49  09 

47  40 

46  07 

44  32 

42  55 

41  14 

30  • 

40 

54  35 

53  20 

52  05 

50  46 

49  26 

48  02 

46  36 

45  07 

43  36 

42  02 

40  25 

40 

50 

53  12 

52  01 

50  48 

49  32 

48  15 

46  54 

45  32 

44  06 

42  39 

41  09 

39  35 

50 

6 

OO 

51  49 

50  41 

49  31 

48  18 

47  03 

45  46 

44  26 

43  05 

41  40 

40  13 

3843 

6     00 

10 

50  26 

49  2c 

48  13 

47  03 

45  51 

44  37 

43  20 

42  02 

40  40 

39  17 

37  50 

10 

20 

49  05 

48  01 

46  56 

45  48 

44  39 

4328 

42  15 

40  58 

39  41 

38  19 

36  57 

20 

30 

47  41 

46  40 

4538 

44  33 

43  26 

42  17 

41  07 

39  53 

38  39 

37  22 

36  01 

30 

40 

46  18 

45  19 

44  20 

43  17 

42  13 

41  06 

39  59 

3848 

37  36 

36  22 

35  05 
34  <^ 

40 

50 

44  55 

43  59 

43  01 

42  01 

40  59 

39  55 

38-50 

37  42 

36  33 

35  22 

50 

7 

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43  32 

42  37 

41  42 

40  44 

39  45 

38  44 

37  42 

3636 

35  30 

34  2? 

33  10 

7     00 

lO 

42  08 

41  16 

40  23 

39  27 

3831 

37  32 

36  32 

35  29 

34  25 

33  20 

32  II 

10 

20 

40  44 

39  54 

39  03 

38  10 

37  16 

36  18 

35  21 

34  21 

33  20 

32  17 

31  12 

20 

30 

39  20 

38  32 

37  43 

36  52 

36  00 

35  06 

34  10 

33  13 

32  15 

31  14 

30  12 

30 

40 

37  56 

37  10 

36  22 

35  34 

34  44 

33  52 

33  00 

32  04 

31  08 

30  10 

29  10 

40 

50 

36  31 

35  48 

35  02 

34  15 

33  27 

3238 

3148 

30  55 

30  02 

29  06 

28  08 

50 

8 

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35  07 

34  24 

33  41 

32  56 

32  10 

31  23 

3035 

29  43 

2853 

28  00 

27  06 

8     00 

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33  41 

33  01 

32  20 

31  37 

30  54 

30  09 

20  22 

28  34 

27  46 

26  55 

26  03 

10 

20 

32  16 

31  37 

30  59 

30  18 

2936 

^8  53 

28  09 

27  23 

26  37 

25  49 

24  59 

20 

30 

30  51 

30  14 

29  37 

28  58 

28  18 

27  37 

26  56 

26  12 

25  28 

24  42 

23  55 

30 

40 

29  25 

28  50 

28  15 

27  38 

27  00 

26  21 

25  42 

25  01 

24  18 

23  35 

22  50 

40 

50 

27  59 

27  25 

26  52 

26  17 

25  41 

25  05 

24  27 

2348 

23  08 

22  27 

21  45 

50 

9 

OO 

26  32 

26  01 

25  29 

24  56 

24  22 

23  47 

23  12 

22  35 

21  57 

21  19 

20  38 

9     00 

lO 

25  05 

24  36 

24  06 

23  35 

23  03 

22  30 

21  57 

21  22 

20  46 

20  10 

'??? 

10 

20 

23  39 

23  II 

22  43 

22  13 

21  44 

21  12 

20  41 

20  09 

19  35 

19  01 

18  26 

20 

30 

22  II 

21  45 

21  19 

20  51 

20  23 

19  54 

19  25 

18  55 

18  24 

17  52 

17  18 

30 

40 

20  43 

20  19 

19  55 

19  29 

19  03 

18  36 

18  09 

17  41 

17  12 

16  42 

16  10 

40 

50 

19  16 

1853 

18  31 

18  07 

17  42 

17  18 

16  53 

16  26 

16  00 

15  31 

15  03 

50 

lO 

OO 

17  48 

17  27 

17  06 

16  44 

16  22 

15  59 

15  36 

15  12 

14  47 

14  22 

13  55 

10  *   00 

lO 

16  19 

16  00 

15  41 

15  21 

15  01 

14  40 

14  19 

13  57 

13  34 

13  II 

12  46 

10 

20 

14  51 

14  34 

14  16 

13  58 

13  40 

13  21 

13  02 

12  41 

12  21 

II  59 

11  37 

20 

30 

13  23 

13  07 

12  51 

12  35 

12  19 

12  02 

II  44 

II  26 

II  07 

10  48 

10  28 

30 

40 

II  53 

II  40 

II  26 

11  12 

10  57 

10  42 

10  26 

10  10 

9  53 

9  37 

9  19 

40 

50 

10  25 

10  13 

10  01 

948 

9  36 

9  22 

9  09 

854 

8  40 

825 

8  10 

50 

11 

00 

856 

8  46 

8  36 

824 

8  13 

8  02 

7  50 

738 

7  25 

7  13 

7  00 

11     00 

lO 

7  27 

7  18 

7  09 

7  00 

652 

6  42 

632 

6  22 

6  II 

6  02 

5  50 

10 

20 

5  58 

5  51 

5  44 

5  37 

5  29 

5  22 

5  14 

506 

4  57 

4  49 

4  40 

20 

30 

4  28 

4  23 

4  18 

4  12 

4  07 

4  01 

3  55 

3  49 

3  43 

3  37 

3  30 

30 

40 

2  59 

256 

2  52 

2  48 

2  45 

2  41 

2  37 

2  33 

2  29 

2  25 

2  20 

40 

50 

I  29 

I  28 

I  27 

I  24 

I  22 

I  21 

I  18 

I  17 

I  14 

I  12 

I  II 

50 

12 

OO 

0  r 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  .  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


261 


AZIMUTH  OR  TRUE  BEARING. 


I.ATITUItE  64°. 

DEClvINATION- 

-SAME  NAME  AS— LATITUDE. 

LATITUDE  64°. 

Hoar  Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

b. 

m. 

o  / 

0  > 

0  / 

0  r 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

li.    m. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

176  27 

176  24 

176  21 

176  18 

176  14 

176  II 

176  08 

176  04 

176  00 

175  56 

175  51 

175  47 

10 

20 

172  54 

172  48 

172  43 

172  36 

172  31 

172  24 

172  16 

172  09 

172  01 

171  52 

171  44 

171  34 

20 

30 

169  23 

169  14 

169  06 

16857 

168  47 

168  37 

168  26 

168  15 

168  04 

167  51 

167  38 

167  24 

30 

40 

165  52 

165  42 

165  29 

165  18 

165  05 

164  52 

164  38 

164  23 

164  08 

163  52 

163  35 

163  17 

40 

50 

162  24 

162  u 

161  56 

161  42 

161  26 

161  09 

160  53 

160  35 

160  17 

159  56 

159  35 

159  14 

50 

1 

OO 

15858 

15842 

158  26 

158  08 

157  50 

157  31 

157  II 

156  50 

156  28 

156  04 

155  41 

155  15 

1     00 

lO 

155  34 

155  16 

154  57 

154  37 

154  17 

153  54 

153  32 

153  08 

152  44 

152  18 

151  49 

151  20 

10 

•20 

152  13 

151  54 

151  32 

151  10 

15047 

150  23 

149  57 

149  32 

149  04 

148  35 

148  04 

147  33 

20 

30 

148  56 

148  33 

148  10 

147  47 

147  21 

146  55 

146  27 

145  58 

145  28 

144  58 

144  25 

143  50 

30 

40 

145  42 

145  17 

144  52 

144  26 

143  59 

143  31 

143  02 

142  30 

141  58 

141  25 

140  50 

140  13 

40 

SO 

142  31 

142  05 

141  39 

141  II 

140  42 

140  12 

139  41 

139  09 

13834 

137  59 

137  23 

13643 

50  i 

2 

OO 

139  24 

138  57 

138  28 

137  59 

137  29 

136  57 

136  24 

135  50 

135  15 

134  38 

133  59 

133  19 

2     00 

lO 

136  20 

135  51 

135  22 

134  51 

134  20 

13347 

133  13 

132  38 

132  01 

131  23 

130  43 

130  01 

10 

20 

133  20 

132  50 

132  20 

131  49 

131  15 

130  42 

130  07 

129  30 

128  52 

128  13 

127  32 

126  50 

20 

30 

130  23 

129  53 

129  21 

128  49 

128  15 

127  40 

127  04 

126  27 

125  48 

125  08 

124  27 

123  42 

30 

40 

127  30 

126  59 

126  26 

125  54 

125  18 

124  43 

124  07 

123  29 

122  49 

122  08 

121  25 

120  42 

40 

50 

124  41 

124  09 

123  36 

123  02 

122  27 

121  50 

121  13 

120  35 

119  55 

119  14 

118  31 

117  47 

50 

3 

OO 

121  55 

121  23 

120  48 

120  15 

119  39 

119  02 

118  25 

117  45 

117  04 

116  23 

115  40 

114  56 

3     00 

lO 

119  12 

118  39 

118  06 

117  30 

116  54 

116  17 

115  39 

114  59 

114  19 

113  37 

112  54 

112  09 

10 

20 

116  32 

115  58 

1:5  24 

114  50 

114  13 

113  36 

112  57 

112  18 

III  37 

no  55 

no  13 

109  28 

20 

30 

"3  55 

113  21 

112  47 

112  12 

III  36 

110  58 

no  20 

109  40 

109  00 

108  18 

107  35 

106  51 

30  , 

40 

III  22 

11047 

no  12 

109  38 

109  02 

108  24 

107  46 

107  06 

106  25 

105  44 

105  01 

104  17 

40  i 

50 

108  50 

108  16 

107  41 

107  07 

106  30 

105  53 

105  14 

104  35 

103  55 

103  13 

102  31 

loi  47 

50  1 

4 

OO 

106  22 

105  48 

105  13 

104  38 

104  02 

103  25 

102  47 

102  08 

loi  27 

100  46 

100  C4 

99  21 

4     00 

lO 

103  55 

103  21 

102  46 

102  II 

loi  36 

100  58 

100  20 

99  41 

99  02 

98  21 

97  40 

96  57 

10  i 

20 

lOI  31 

10057 

100  22 

99  48 

99  II 

98  35 

97  57 

97  19 

96  39 

95  59 

95  18 

94  36 

20 

30 

99  08 

9836 

98  01 

97  26 

96  50 

96  13 

95  37 

9458 

94  20 

93  40 

93  00 

92  18 

30 

40 

96  49 

96  16 

95  41 

95  07 

94  32 

93  56 

93  19 

92  41 

92  02 

91  23 

90  43 

90  02 

40 

50 

94  30 

93  57 

93  22 

92  49 

92  15 

91  38 

91  02 

90  25 

8947 

89  08 

88  28 

87  48 

50 

5 

OO 

92  13 

91  40 

91  07 
88  51 

90  33 

8958 

89  23 

8847 

88  10 

87  33 

8654 

86  16 

8536 

5     00 

lO 

8958 

89  25 

88  19 

8745 

87  09 

8634 

8558 

85  21 

.  84  43 

84  05 

8326 

10 

20 

87  44 

87  II 

8638 

86  06 

85  32 

84  57 

84  23 

83  47 

83  II 

82  33 

81  56 

81  18 

20 

30 

8530 

8458 

84  26 

83  54 

83  21 

82  47 

82  12 

81  36 

81  02 

80  25 

79  48 

79  II 

30 

40 

f3  ^9 

82  46 

82  14 

81  43 

81  10 

8036 

80  03 

79  28 

78  53 

78  17 

77  42 

77  04 

40  1 

50 

8i  08 

8036 

80  05 

79  34 

79  02 

78  28 

77  55 

77  21 

76  47 

76  12 

75  36 

75  00 

50 

6 

OO 

7f  57 

78  27 

77  55 

77  25 

76  53 

76  21 

7548 

75  15 

74  40 

74  06 

73  32 

72  56 

6     00 

lO 

7648 

76  17 

75  47 

75  17 

74  45 

74  13 

73  42 

7308 

72  35 

72  01 

71  28 

70  53 

10 

20 

74  39 

74  09 

73  39 

73  10 

72  39 

72  07 

71  36 

71  04 

70  32 

^9  59 

69  26 

6852 

20 

30 

72  30 

72  01 

71  31 

71  02 

70  33 

70  02 

69  31 

6859 

68  28 

6756 

67  23 

66  50 

30 

40 

70  22 

69  54 

69  24 

6856 

68  26 

6756 

67  26 

6656 

66  24 

65  53 

65  21 

64  50 

40  1 

50 

68  14 

6746 

67  18 

66  49 

66  21 

65  51 

65  22 

6453 

64  22 

63  51 

63  20 

62  49 

50  : 

7 

OO 

66  07 

65  39 

65  11 

64  44 

64  16 

63  47 

63  18 

62  49 

62  19 

61  50 

61  20 

60  49 

7     00 

lO 

6358 

633: 

63  05 

62  38 

62  II 

61  42 

61  15 

60  46 

60  17 

59  48 

59  18 

58  49 

10 

20 

61  51 

61  25 

6058 

60  32 

60  05 

5938 

59  II 

5843 

58  15 

57  47 

57  19 

56  49 

20 

30 

59  44 

59  18 

5852 

5827 

5801 

57  34 

57  08 

5640 

56  13 

55  46 

55  18 

54  50 

30 

40 

57  36 

57  II 

56  46 

56  21 

55  56 

55  30 

55  04 

54  38 

54  09 

53  45 

53  18 

52  51 

40 

50 

55  29 

55  04 

54  40 

54  16 

53  51 

53  26 

53  01 

52  36 

52  10 

51  44 

51  18 

50  52 

50 

8 

OO 

53  20 

52  56 

52  33 

52  10 

51  45 

51  21 

50  57 

50  32 

50  08 

49  42 

49  17 

48  i52 

8     00 

lO 

51  II 

50  49 

50  27 

50  04 

49  41 

49  17 

48  54 

48  29 

48  06 

47  42 

47  17 

46  53 

10 

20 

49  03 

48  42 

48  19 

47  58 

47  34 

47  12 

46  50 

46  27 

46  03 

45  40 

45  17 

44  53 

20 

30 

46  54 

46  33 

46  II 

45  51 

45  28 

45  06 

44  45 

44  23 

44  01 

43  39 

43  16 

42  54 

30 

40 

44  44 

44  24 

44  03 

43  43 

43  22 

43  02 

42  41 

42  19 

41  58 

41  37 

41  16 

40  54 

40 

50 

42  34 

42  15 

41  55 

41  36 

41  17 

40  56 

40  36 

40  16 

39  55 

39  35 

39  14 

38  54 

50 

9 

OO 

40  24 

40  05 

39  46 

3928 

3908 

3849 

3830 

38  12 

37  52 

37  32 

37  12 

36  52 

9     00 

lO 

38  13 

37  55 

37  38 

37  20 

37  02 

36  43 

36  25 

36  07 

35  48 

35  30 

35  10 

34  52 

10 

20 

36  02 

35  45 

35  28 

35  II 

34  54 

34  36 

34  19 

34  02 

33  45 

33  27 

33  09 

32  51 

20 

30 

33-50 

33  34 

33  18 

33  02 

32  45 

32  29 

32  13 

31  56 

31  40 

31  24 

31  07 

•30  50 

30 

40 

31  38 

31  22 

31  07 

30  52 

32  37 

30  21 

30  06 

29  51 

29  35 

29  20 

29  03 

28  48 

40 

50 

29  24 

29  10 

2855 

28  42 

28  28 

28  13 

27  59 

27  45 

27  30 

27  16 

27  01 

26  47 

50 

lO 

OO 

27  II 

2658 

26  45 

26  32 

26  19 

26  05 

25  52 

25  39 

25  25 

25  II 

2458 

24  44 

10    00 

lO 

24  57 

24  45 

24  33 

24  21 

24  09 

23  56 

23  44 

23  31 

23  19 

23  06 

22  54 

22  41 

10 

20 

22  42 

22  31 

22  21 

22  10 

21  58 

21  47 

-  21  36 

21  24 

21  13 

21  01 

20  50 

20  39 

20 

30 

20  28 

20  18 

20  08 

1958 

1948 

19  37 

19  27 

19  17 

19  07 

18  56 

18  46 

1836 

30 

40 

18  13 

18  03 

17  54 

17  46 

17  36 

17  27 

17  18 

17  09 

17  00 

16  51 

16  42 

16  32 

40 

50 

15  57 

15  49 

15  41 

15  33 

15  25 

15  18 

15  09 

15  01 

14  54 

1445 

14  38 

14  29 

50 

11 

OO 

1341 

13  34 

13  27 

13  21 

13  13 

13  06 

13  00 

12  53 

12  46 

12  39 

12  32 

12  25 

11     00 

lO 

II  25 

II  19 

11  13 

11  07 

II  01 

10  56 

10  50 

10  44 

10  39 

10  33 

10  2-7 

10  21 

10 

20 

9  08 

9  04 

858 

854 

8  50 

8  45 

8  41 

836 

831 

8  26 

8  22 

8  17 

20 

30 

651 

6  47 

6  44 

6  41 

637 

633 

631 

6  27 

624 

6  20 

617 

613 

30 

40 

4  34 

4  32 

4  29 

4  27 

4  25 

4  23 

4  20 

418 

4  16 

4  14 

4  II 

4  09 

40 

50 

2  17 

2  16 

2  15 

2  14 

2  12 

2  12 

2  10 

2  10 

2  08 

2  06 

2  ot> 

2  04 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latltade,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


262 


AZIMUTH  OR  TRUE   BEARING. 


IjATITITDE:  64°. 


DECLINATION— SAME  NAME  AS— LATITUDE. 


latitude:  64°. 


Hour  Angle. 


36° 


37° 


38° 


39°        40° 


41° 


48.0 


43° 


44°        45° 


46° 


47° 


Hour  Angle. 


O 


lO 


11 


12 


m. 

oo 

10 

so 

30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


So  OO 

75  42 

71  25 

67  09 
62  58 
58  50 

54  47 
50  49 
4658 
43  12 
39  34 
36  02 

32  36 
29  17 
26  04 
22  57 

19  55 
17  00 

14  09 
II  22 
08  41 
06  04 

03  31 
01  02 

98  36 
96  12 
93  52 
91  34 
89  20 
87  06 

8455 
82  45 
80  38 
78  32 

76  27 
74  23 

72  19 
70  18 

68  17 
66  16 
64  16 
62  17 


60 

18 

58 

19 

56 

20 

54 

21 

52 

23 

50 

25 

48 

2S 

46 

28 

44 

29 

42  30 

40  31 

38 

32 

36 

33 

34  33 

32  33 

30  33 

28 

32 

26 

32 

24  31 

22 

29 

20 

27 

18 

25 

16 

23 

14 

21 

12 

18 

10 

16 

8 

12 

6 

10 

4  07 

2 

03 

0 

00 

180  00 

175  37 
171  14 
166  54 
162  37 
158  25 

154  18 

150  17 
146  22 
142  34 
138  53 
135  20 

131  52 
128  32 
125  17 
122  09 
119  07 
116  12 


113  21 
110  35 

107  53 
105  17 
102  44 
100  15 

97  50 
95  27 
93  08 
90  51 
38  36 
86  24 

84  14 
82  04 

79  58 
77  53 
75  48 
73  46 

71  43 
69  41 
67  42 
65  42 
63  43 
61  44 

5946 

57  47 
55  50 
53  53 
51  55 
49  57 

48  00 
46  02 
44  05 
42  07 
40  09 
38  10 

36  13 
34  13 
32  15 
30  16 
28  16 
26  16 

24  17 
22  16 
20  16 
18  15 
16  14 
14  13 

12  II 
10  09 
8  07 
6  06 
4  04 
2  03 
o  00 


180  00 

175  30 
171  02 
166  37 
162  15 
15758 

153  47 
149  42 
145  45 
141  53 
138  09 
134  33 

131  04 
127  43 
124  28 
121  20 
118  18 
115  21 

112  31 

109  45 
107  04 
104  28 
loi  55 
99  27 

97  03 
94  40 
92  22 
90  06 
87  52 
85  40 

83  31 
81  22 
79  16 
77  12 
75  08 
73  07 


71 

05 

69  05 

67 

06 

65 

07 

63 

09 

61 

II 

59 

14 

57 

16 

55 

20 

53 

23 

51 

27 

49  30 

47  34 
45  37 
43  40 
41  44 
39  47 
37  49 

35  52 
33  55 
31  57 
29  58 
28  00 
26  01 

24  02 
22  03 
20  04 
18  04 
16  04 
14  04 

12  04 
10  04 
8  03 
6  03 
4  02 
2  01 
o  00 


180  00 
175  25 
170  51 
166  20 
161  52 
157  30 

153  15 
149  05 
145  04 
141  10 
137  24 
133  46 

130  16 
126  53 
123  37 
120  28 
117  25 
114  29 

"I  39 
108  53 
106  12 

103  37 
loi  05 
98  38 

96  14 
93  53 
91  34 
89  19 
87  07 
&4  56 

82  47 
80  40 
78  35 
76  31 

74  29 
72  28 

70  27 
68  28 
66  31 
64  32 
62  35 
60  38 

58  41 
56  45 
54  49 
52  54 
5058 
49  03 

47  07 
45  12 
43  16 
41  20 

39  25 
37  28 

35  32 
33  35 
31  39 
29  41 
27  43 
25  46 

23  48 
21  51 
19  52 
17  53 
15  54 
13  56 


II  57 
958 
758 
558 
3  59 
2  00 
o  00 


180  00 
175  18 
170  37 
166  00 
161  27 
156  59 

152  39 
148  26 
144  21 
140  24 
136  35 
132  56 

129  23 
125  59 
122  43 

119  34 
116  31 

113  35 

no  45 

107  59 
105  20 
102  44 
100  14 
97  46 

95  24 
93  03 
00  46 
88  3t 
86  20 
84  10 

82  02 
79  56 
77  53 
75  50 
7348 
71  48 

69  49 
67  50 
65  53 
6356 
61  59 
60  04 

58  09 
56  12 
54  18 
52  23 
50  29 
4835 

46  40 
44  45 
42  50 
40  56 
39  01 
37  06 

35  " 
33  15 
31  20 
29  23 
27  27 
25  30 

23  34 
21  37 
19  40 
17  43 
1545 
1348 

II  50 
9  52 

7  54 
5  55 
3  57 
I  58 
o  00 


80  00 

75  10 

70  23 

65  39 
61  00 

56  27 

52  01 

47  44 

43  35 

39  35 

35  43 
32  02 

28  28 
25  03 

21  47 
1837 

15  34 

12  38 

0948 
07  03 

04  24 
01  50 
99  20 
96  53 

94  31 
92  II 

8956  I 
8742 
8531 
83  22 

81  16 
79  II 
77  09 
75  06  I 
73  05 

71  08 

69  08 
67  II 
65  15 
63  19 
61  23 
59  29 

57  35 
55  40 

53  46 
51  53 
49  59 

48  06 

46  12 

44  18 
42  26 

40  31 
38  37 

36  43 

34  50 
32  55 
31  00 

29  06 
27  II 
25  15 

23  20 
21  24 
19  28, 
17  32 
15  35 

13  39 

II  42 
9  45 
7  49 

5  52 
3  54 
I  58 
o  00 


180  00 
175  03 
170  08 
165  16 
160  30 
155  51 

151  20 
146  58 
142  45 
138  42 

134  49 
131  04 

127  30 
124  04 
120  46 
117  37 
114  33 
III  38 

108  49 
106  04 
103  26 
100  52 

98  23 
95  58 

93  36 
91  18 
89  03 
8651 
84  42 
82  34 

80  29 
78  24 
76  23 
74  22 
72  23 
70  25 

68  27 
66  31 
64  36 
62  41 
60  47 
58  54 


180  00 

174  55 
169  50 
164  51 
159  58 
155  13 

150  36 
146  09 
141  53 
137  46 
133  50 
130  04 

126  28 
123  01 
119  44 
116  33 
113  31 
no  36 

107  47 
105  04 
102  26 
99  54 
97  26 
95  02 

92  41 
90  24 
88  10 
8559 
83  51 
81  45 

79  40 
77  37 
75  37 
73  37  i 
7t  39 
69- 42 

67  46  , 
65  51 
63  57 
62  03 
60  10 
58  17 


57  01 

56  25 

55  06 

54  32 

53  14 

52  41 

51  22 

50  50 

49  29 

48  59 

47  36 

47  07 

45  44 

45  16 

43  52 

43  24 

41  59 

41  33 

40  06 

39  41 

38  13 

37  50 

36  21 

35  59 

34  28 

34  06 

32  35 

32  14 

30  41 

30  22 

28  48 

28  29 

26  54 

26  36 

25  00 

24  43 

23  05 

22  51 

21  10 

20  57 

19  16 

19  03 

17  22 

17  10 

15  26 

15  15 

13  31 

13  22 

11  35 

n  28 

9  39 

9  33 

7  43 

7  39 

5  47 

5  44 

3  52 

3  49 

I  56 

I  55 

0  00 

0  00 

180  00 
174  45 
169  33 
164  25 
159  23 
154  32 

149  49 
145  17 
140  56 
136  46 
132  48 
129  00 

125  23  ( 
121  55 
118  37 
115  27 
112  25 
109  31 

106  43 
104  01 
loi  23 

98  53 
96  -26 
94  02 

91  44 
89  28 

87  15 
85  05 
82  59 
80  54 

78  50 
76  49 
74  49 
72  51 
70  54 
68  58 

67  04 
65  09 
63  17 
61  24 
59  31 
57  40 

55  49 
53  58 
52  07 
50  17 
48  28 
46  37 

44  47 
42  56 
41  07 
39  16 

37  26  I 
35  35  j 

33  44 

31  53  I 
30  02 
28  II 
26  19 
24  27  j 

22  36  i 
20  43 
18  51 
16  59 
15  06 
13  13 

II  20 

9  27 
7  34 
5  41 
3  47 
I  53 
o  00 


180  00 

174  35 
169  12 

163  55 
158  45 
153  45 

148  57 
144  20 
139  54 
135  40 
131  40 
127  51 

124  13 
120  45 
117  27 
114  17 
III  16 
108  22 

105  34 
102  53 
100  18 
97  48 
95  23 
93  01 

9044 
88  30 
86  18 
84  09 
82  03 
80  00 

77  58 

75  58 

74  01 

72  03 

70  08 

68  13 

66  20 
64  26 
62  35 
60  44 
5852 
57  03 

55  13 
53  23 
51  33 
49  44 
47  56 
46  06 

44  17 
42  29 
40  39 
38  50 
37  01 
35  12 

33  22 
31  31 
29  42 
27  52 
26  01 
24  II 

22  20 
20  30 
1838 
16  47 
14  55 
13  04 

II  13 
9  20 
7  28 
536 
3  45 
I  52 
o  00 


80  00 

74  23 

68  50 
63  22 
58  04 
52  55 

48  00 
43  17 
38  48 
34  31 

30  28 

26  38 

22  58 

19  31 
16  13 
13  04 
10  02 
07  10 

04  24 
01  44 
99  10 
96  41 
94  18 
91  58 

89  42 
87  29 
85  19 
83  12 

81  08 
79  06 

77  05 

75  07 
73  10 
71  14 

69  20 
67  27 

65  35 
63  43 
61  53 
60  03 
58  13 
56  24 

54  35 
52  46 
50  59 

49  II 
47  23 
45  35 

43  47 
42  00 
40  12 
38  24 
36  36 
34  48 

32  59 

31  10 
29  22 

27  32 
25  44 

23  55 

22  05 
20  15 
18  26 
16  35 
14  45 
12  55 

n  04 
9  14 
7  23 
5  32 
3  42 
I  50 
o  00 


180  00 
174  II 
168  25 
162  46 
157  18 
152  01 

146  58 
142  09 
137  35 
133  16 
129  II 
125  20 

121  39 
118  II 
114  54 
III  45 
108  46 

105  55 

103  10 
100  32 
98  00 
95  33 
93  10 
90  52 

88  39 
86  26 
84  19 
82  13 
80  II 
78  II 

76  II 

74  15 
72  19 
70  24 
68  32 
66  40 

64  50 
62  59 

61    ID 

59  21 

57  33 
55  45 

53  57 
52  II 
50  23 
4837 
46  50 
45  04 

43  17 
41  31 
39  44 
37  57 
36  10 
34  23 

32  36 
30  49 
29  02 

27  14 
25  25 
23  38 

21  50 
20  01 
18  13 
16  24 
14  35 
12  46 

10  57 
9  07 
7  18 
5  29 
3  39 
I  50 
o  00 


o 


11 


12 


ni. 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  .South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  .supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


263 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  64°. 

DECI^INATION 

-SAME  NAME  AS— I,ATITUDE 

I^ATITrDK  64°. 

Hour  Angle. 

48° 

45>3 

50° 

51° 

52° 

530 

54° 

55° 

56° 

570 

58° 

590 

Hour  Ahigle. 

b. 

ni. 

o  ' 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  f 

0  ' 

0  t 

0  / 

0  / 

0  / 

fa.    m. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  CO 

180  00 

180  00 

180  00 

180  00 

180  00 

i8o  tx> 

180  00 

180  00 

0    00 

lO 

17356 

173  41 

173  23 

173  01 

172  37 

172  09 

171  34 

170  53 

170  02 

168  56 

167  28 

165  28 

10 

20 

167  57 

167  26 

166  51 

166  II 

165  23 

164  29 

163  23 

162  04 

160  27 

(58  29 

155  51 

152  19 

20 

30 

162  07 

161  22 

160  31 

159  32 

158  25 

157  07 

15536 

153  47 

151  35 

148  52 

145  27 

141  04 

30 

40 

156  27 

155  29 

154  25 

153  12 

151  49 

150  13 

148  22 

146  10 

143  33 

140  25 

136  35 

131  51 

40- 

50 

151  01 

149  53 

148  38 

147  13 

145  37 

143  48 

141  42 

139  17 

136  26 

133  06 

129  06 

124  21 

50 

1 

OO 

145  51 

144  35 

143  II 

141  37 

139  53 

137  54 

135  39 

133  06 

130  09 

126  44 

122  46 

118  II 

1     00 

lO 

140  55 

139  33 

138  04 

136  24 

134  33 

132  29 

130  10 

127  32 

124  34 

121  12 

117  22 

112  59 

10 

20 

136  17 

134  52 

133  18 

131  34 

129  39 

127  33 

125  12 

122  34 

119  39 

116  26 

112  42 

10835 

20 

30 

131  55 

130  26 

128  50 

127  04 

125  07 

123  01 

120  40 

118  06 

115  15 

112  06 

108  36 

104  45 

30 

40 

127  47 

126  17 

124  39 

122  54 

120  57 

118  51 

116  33 

I14  02 

III  17 

108  16 

104  59 

loi  22 

40 

50 

123  54 

122  23 

120  46 

119  00 

117  05 

115  02 

112  46 

no  21 

107  41 

104  49 

loi  42 

98  20 

50 

2 

OO 

120  14 

118  44 

117  07 

115  22 

Hi  29 

III  28 

109  17 

106  56 

104  24 

loi  41 

98  44 

95  34 

2     00 

lO 

116  47 

"5  17 

113  41 

III  58 

no  08 

108  10 

106  03 

103  48 

loi  23 

9847 

96  00 

93  02 

10 

20 

113  30 

112  01 

no  27 

108  46 

106  59 

105  05 

103  03 

100  53 

9834 

96  06 

9328 

90  40 

20 

30 

no  23 

108  56 

107  24 

105  46 

104  00 

102  10 

100  13 

98  08 

95  55 

93  35 

91  05 

88  26 

30  , 

40 

107  25 

106  00 

104  29 

102  54 

loi  12 

99  26 

97  32 

95  32 

93  26 

91  12 

^50 

86  21 

40 

50 

1Q4  30 

103  07 

loi  39 

100  09 

9833 

96  50 

95  01 

93  07 

91  05 

8857 

8643 

84  21 

50 

3 

OO 

loi  53 

100  31 

99  06 

97  36 

96  01 

94  21 

92  37 

9046 

8850 

8649 

8440 

82  26 

3     00 

lO 

99  17 

97  56 

96  33 

95  06 

93  35 

91  59 

90  17 

88  32 

86  40 

84  44 

82  42 

80  34 

10 

ao 

96  45 

95  29 

94  08 

92  43 

91  13 

8941 

88  03 

86  23 

8437 

8245 

80  49 

78  47 

-  20 

30 

94  21 

93  05 

91  47 

90  25 

8859 

8730 

8556 

84  19 

8237 

80  51 

78  59 

77  03 

30 

40 

9200 

91  47 

89  31 

88  12 

8649 

85  23 

83  53 

82  19 

80  41 

78  59 

77  12 

75  22 

40 

50 

89  44 

8833 

87  19 

8603 

8442 

83  19 

81  53 

80  22 

7848 

77  10 

75  28 

73  42 

50 

4 

OO 

87  31 

8623 

85  II 

83  57 

82  39 

81  19 

79  55 

78  28 

7658 

75  24 

73  47 

72  05 

4     00 

lO 

85  22 

84  15 

83  05 

81  54 

8038 

79  21 

78  01 

76  37 

75  10 

73  40 

72  06 

70  28 

10 

20 

83  16 

82  II 

81  03 

79  54 

78  41 

77  27 

76  09 

74  48 

73  24 

71  58 

70  27 

6854 

20 

30 

81  13 

80  09 

79  04 

77  56 

76  47 

75  34 

74  19 

73  01 

71  41 

70  17 

68  51 

67  20 

30 

40 

79  II 

78  II 

77  07 

76  02 

74  54 

73  44 

72  31 

71  16 

6958 

6839 

67- 15 

1  6548 

40 

50 

77  13 

76  14 

75  II 

7408 

73  02 

71  55 

70  45 

69  33 

68  17 

67  01 

65  40 

64  17 

50 

5 

OO 

75  15 

74  18 

73  18 

72  16 

69  25 

70  08 

69  00 

67  50 

6638 

65  24 

64  06 

6247 

5     00 

lO 

73  20 

72  24 

71  26 

70  27 

68  21 

67  16 

66  09 

65  00 

63  48 

62  34 

61  17 

10 

20 

71  26 

70  31 

6936 

6839 

67  39 

6637 

65  34 

64  29 

63  22 

62  13 

6i  01 

59  47 

20 

30 

69  34 

68  40 

67  47 

6651 

65  54 

64  54 

63  52 

62  51 

61  45 

60  39 

59  29 

58  18 

30 

40 

67  42 

66  51 

6558 

65  04 

b4  09 

63  II 

62  12 

61  n 

60  09 

59  04 

5758 

56  50 

40 

50 

65  52 

65  03 

64  II 

63  20 

62  26 

6i  30 

60  33 

59  34 

58  34 

57  32 

56  28 

55  21 

50 

6 

OO 

64  03 

63  14 

62  25 

^i  35 

60  42 

•  59  49 

5853 

57  57 

56  59 

55  59 

54  57 

53  53 

6     00 

lO 

62  14 

61  27 

60  39 

59  50 

5859 

58  08 

57  15 

56  20 

55  24 

54  26- 

53  27 

52  25 

10 

20 

60  26 

59  41 

58  55 

58  08 

57  19 

56  28 

55  37 

54  45 

53  50 

52  54 

51  57 

50  57 

20 

30 

5839 

57  55 

57  10 

56  24 

55  37 

5448 

53  59 

5308 

52  15 

51  22 

50  26 

49  30 

30 

40 

56  52 

56  09 

55  26 

54  42 

5356 

53  09 

52  21 

51  32 

50  42 

49  50 

48  57 

48  02 

40 

50 

55  06 

54  25 

53  43 

53  «> 

52  16 

51  31 

50  44 

49  57 

49  08 

48  19 

47  27 

46  35 

50 

7 

OO 

53  20 

52  40 

52  00 

51  18 

50  35 

49  52 

49  07 

48  22 

47  35 

46  47 

45  57 

45  07 

7     00 

lO 

51  34 

50  55 

50  16 

49  36 

4855 

48  14 

47  30 

46  47 

46  01 

45  15 

44  28 

43  39 

10 

20 

49  47 

49  II 

4833 

47  55 

47  15 

46  35 

45  53 

45  12 

44  28 

43  44 

42  57 

42  II 

20 

30 

48  03 

47  27 

46  50 

46  14 

45  35 

44  56 

44  17 

43  37 

42  55 

42  12 

41  29 

40  43 

30 

40 

46  17 

45  43 

45  08 

44  32 

43  56 

43  18 

42  40 

42  01 

41  21 

40  40 

3958 

39  15 

40 

50 

44  31 

43  59 

43  25 

42  51 

42  16 

41  40 

41  03 

40  26 

39  47 

3908 

38  28 

37  47 

50 

8 

OO 

42  46 

42  14 

41  43 

41  09 

40  36 

40  02 

39  26 

3851 

38  13 

37  36 

3658 

36  18 

.  8     00 

lO 

41  01 

40  31 

40  00 

39  29 

3856 

3823 

37  49 

37  16 

36  40 

36  05 

35  27 

34  49 

10 

20 

39  16 

38  46 

38  17 

37  47 

37  16 

36  44 

36  12 

35  40 

35  06 

34  32 

33  57 

33  20 

20 

30 

37  30 

37  02 

36  34 

36  05 

35  36 

35  °6 

34  35 

34  05 

33  32 

33  00 

32  26 

31  52 

30 

40 

35  44 

35  19 

34  51 

34  24 

33  55 

33  27 

32  58 

32  28 

31  58 

31  26 

30  55 

30  22 

40 

50 

33  59 

33  33 

33  08 

32  42 

32  16 

31  48 

31  21 

30  52 

30  24 

29  54 

29  23 

28  52 

50 

9 

OO 

32  12 

31  49 

31  25 

31  00 

30  34 

3009 

29  43 

29  16 

28  48 

28  20 

27  53 

27  23 

9     00 

lO 

30  27 

30  04 

29  41 

29  18 

2854 

28  30 

28  05 

27  40 

27  14 

26  48 

26  21 

25  53 

10 

20 

28  41 

28  19 

27  57 

27  36 

27  13 

26  50 

26  27 

26  03 

25  39 

25  14 

24  49 

24  23 

20 

30 

26  54 

26  34 

26  14 

25  53 

25  32 

25  II 

24  48 

24  27 

24  05 

23  44 

23  17 

22  53 

30 

40 

25  07 

24  49 

24  30 

24  II 

23  51 

23  31 

23  10 

22  51 

22  29 

22  07 

21  45 

21  22 

40 

50 

23  21 

23  04 

22  46 

22  28 

22  09 

21  51 

21  32 

21  13 

20  54 

20  33 

20  12 

19  52 

50 

lO 

OO 

21  34 

21  18 

21  02 

20  45 

20  29 

20  II 

19  54 

1936 

19  17 

1859 

18  40 

18  21 

10     00 

lO 

19  47 

19  32 

19  17 

19  02 

1847 

18  30 

18  14 

17  59 

17  41 

17  24 

17  08 

16  50 

10 

20 

18  00 

17  46 

17  32 

17  18 

1704 

16  51 

16  36 

16  21 

16  06 

15  51 

15  34 

15  19 

20  1 

30 

16  12 

16  00 

1548 

15  35 

15  23 

15  09 

14  57 

14  44 

14  29 

14  16 

14  02 

13  47 

30 

40 

14  25 

14  13 

14  03 

13  52 

13  41 

13  29 

13  18 

13  06 

12  54 

12  41 

12  28 

12  15 

40 

50 

12  37 

12  27 

12  18 

12  08 

II  58 

II  48 

II  38 

II  28 

II  17 

II  07 

10  55 

10  44 

50 

11 

OO 

10  49 

10  41 

10  32 

10  24 

10  16 

10  07 

958 

9  50 

9  40 

9  31 

9  22 

9  13 

11     00 

lO 

9  01 

854 

8  47 

8  40 

833 

8  26 

8  19 

8  II 

8  04 

7  57 

7  49 

7  40 

10 

20 

7  13 

7  07 

702 

6  56 

651 

645 

6  39 

634 

6  27 

6  21 

6  15 

6  09 

20 

30 

5  25 

5  20 

5  16 

5  13 

5  09 

5  04 

4  59 

455 

4  50 

4  46 

4  41 

4  37 

30 

40 

336 

3  33 

3  31 

3  29 

326 

3  23 

3  19 

3  17 

3  14 

3  II 

3  07 

3  05 

40 

50 

I  49 

1  47 

I  46 

I  44 

I  43 

I  42 

I  40 

I  39 

I  36 

I  35 

I  34 

I  32 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East:  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


264 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE;  64°. 

DECUNATION— SAME  NAME  AS- 

I^ATITUDE. 

liATITUDE  64°. 

Hour  Angle. 

60C 

61° 

62° 

63° 

64° 

65° 

66° 

67°| 

68° 

69° 

70° 

Hour  Angle. 

b. 

ni. 

o  / 

0  ' 

0  r 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  r 

0  / 

0  / 

b.    ni. 

o 

OO 

i8o  oo 

180  00 

180  00 

180  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0     00 

lO 

162  32 

157  51 

149  18 

130  45 

88  52 

45  59 

26  43 

17  56 

13  07 

10  08 

8  06 

10 

20 

147  21 

140  II 

129  08 

1"  54 

87  45 

62  51 

44  19 

32  23 

24  41 

19  27 

15  45 

20 

30 

135  17 

127  32 

117  03 

103  16 

86  38 

69  26 

54  23 

42  40 

33  51 

27  29 

22  37 

30 

40 

'^§  ^t 

118  30 

109  15 

,98  07 

85  30 

72  27 

60  12 

49  39 

41  00 

34  03 

2833 

40 

50 

118  38 

III  49 

103  47 

94  32 

84  23 

73  52 

63  40 

54  21 

46  06 

39  18 

33  30 

50 

1 

OO 

112  49 

106  38 

99  36 

91  44 

83  15 

74  28 

65  47 

57  33 

50  02 

43  23 

37  35 

1     00 

lO 

108  02 

102  26 

96  13 

89  23 

82  07 

74  35 

67  02 

59  44 

52  51 

46  34 

40  54 

10 

30 

104  01 

9856 

93  22 

87  22 

81  00 

74  24 

67  44 

61  II 

54  54 

4859 

43  33 

20 

30 

100  31 

95  54 

90  53 

85  31 

79  52 

74  00 

68  03 

62  08 

56  22 

50  51 

45  40 

30 

40 

-  97  27 

93.13 

88  39 

83  49 

78  44 

73  28 

68  05 

62  41 

57  24 

52  14 

47  19 

40 

50 

94  42 

90  48 

86  38 

82  13 

77  36 

72  49 

67  55 

62  59 

5805 

53  16 

48  36 

60 

a 

OO 

92  II 

^35 

84  44 

80  41 

76  27 

72  04 

67  35 

63  03 

58  29 

53  59 

49  35 

2     00 

lO 

8952 

86  30 

8255 

79  13 

75  19 

71  17 

67  08  • 

62  56 

58  41 

54  27 

50  17 

10 

20 

8742 

84  34 

81  15 

77  48 

74  II 

70  26 

6635 

62  40 

5842 

54  44 

50  47 

20 

30 

8539 

82  43 

7938 

76  24 

73  02 

69  33 

6558 

62  18 

58  35 

54  50 

51  06 

30 

40 

83  43 

8057 

78  04 

75  02 

71  53 

6838 

65  16 

61  50 

58  20 

54  47 

51  16 

40 

50 

8i  51 

79  16 

76  32 

73  42 

70  44 

67  41 

64  31 

61  18 

'  57  59 

54  38 

51  17 

50 

3 

OO 

80  04 

77  37 

75  02 

72  22 

69  35 

66  42 

63  43 

60  41 

57  34 

54-23 

51  12 

3     00 

lO 

78  20 

76  01 

73  35 

71  03 

68  25 

65  42 

62  53 

60  00 

57  03 

54  02 

51  00 

10 

> 

20 

76  40 

74  27 

72  09 

69  45 

67  15 

64  41 

62  01 

59  17 

56  29 

53  38 

50  44 

20 

30 

75  01 

72  55 

70  43 

68  27 

66  06 

63  39 

61  08 

58  32 

55  52 

53  09 

50  22 

30 

40 

73  26 

71  26 

69  20 

67  10 

64  55 

6236 

60  12 

57  44 

55  12 

52  35 

49  57 

40 

50 

71  51 

69  57 

67  57 

65  54 

63  45 

61  32 

59  15 

56  54 

54  29 

51  59 

49  28 

50 

4 

OO 

70  19 

6830 

6635 

64  37 

62  34 

60  28 

58  16 

56  03 

53  44 

51  21 

48  56 

4     00 

lO 

68  47 

67  02 

65  13 

63  21 

61  23 

59  22 

57  17 

55  09 

52  56 

50  40 

48  20 

10 

20 

67  17 

6536 

63  52 

62  04 

60  12 

58  17 

56  16 

54  14 

52  07 

49  56 

47  42 

20 

30 

65  48 

64  11 

62  32 

60  48 

'  59  01 

57  10 

55  16 

53  18 

51  16 

49  II 

47  03 

30 

40 

64  20 

62  47 

61  II 

59  32 

57  49 

56  02 

54  13 

52  21 

50  24 

4823 

46  21 

40 

50 

62  51 

61  23 

59  50 

58  16 

56  37 

54  55 

53  10 

51  22 

49  29 

47  35 

45  37 

50 

5 

OO 

61  24 

59  59 

5830 

5658 

55  24 

53  47 

52  06 

50  22 

48  34 

46  43 

44  50 

5     00 

10 

59  57 

58  35 

57  10 

55  43 

54  12 

5238 

51  01 

49  21 

4738 

45  51 

44  03 

10 

20 

58  31 

57  12 

55  50 

54  26 

52  59 

51  29 

49  55 

48  20 

46  41 

44  58 

43  14 

20 

30 

57  05 

55  49 

54  30 

53  09 

51  45 

50  19 

48  49 

47  17 

45  42 

44  03 

42  23 

30 

40 

55  38 

54  25 

53  10 

51  52 

50  31 

49  08 

47  42 

46  14 

44  42 

43  08 

41  31 

40 

50 

54  13 

53  03 

51  50 

50  35 

49  17 

47  57 

46  35 

45  10 

43  42 

42  11 

40  38 

60 

6 

OO 

52  47 

51  40 

50  29 

49  17 

48  03 

46  46 

45  26 

44  05 

42  40 

41  12 

39  43 

6     00 

lO 

51  22 

50  16 

49  09 

48  00 

46  48 

45  34 

44  17 

43  00 

41  37 

40  13 

38  48 

10 

20 

49  57 

48  54 

47  49 

46  43 

45  33 

44  22 

43  09 

41  53 

40  34 

39  14 

37  51 

20 

30 

'48  31 

47  31 

46  29 

45  24 

44  18 

43  10 

41  59 

40  46 

39  31 

38  13 

36  53 

30 

40 

47  05 

46  07 

45  07 

44  05 

43  02 

41  56 

40  48 

3938 

3826 

37  II 

35  55 

40 

50 

45  40 

44  44 

43  46 

42  47 

41  46 

40  43 

39  37 

38  30 

37  21 

36  09 

34  56 

60 

7 

OO 

44  15 

43  21 

42  25 

41  29 

40  29 

39  29 

3826 

37  22 

36  15 

35  06 

33  55 

7     00 

lO 

42  48 

41  57 

41  03 

40  08 

39  12 

38  14 

37  14 

36  12 

3508 

34  02 

32  55 

10 

20 

41  23 

4033 

39  42 

38  49 

37  55 

36  59 

36  02 

35  02 

34  01 

32  57 

31  52 

20 

30 

39  57 

39  09 

38  20 

37  30 

3638 

35  44 

34  49 

33  52 

32  53 

31  52 

30  50 

30 

40 

38  31 

37  45 

36  57 

36  10 

35  20 

34  29 

33  35 

32  41 

31  44 

30  47 

29  47 

40 

50 

37  04 

36  21 

35  35 

34  49 

34  01 

33  13 

32  22 

31  30 

30  36 

29  40 

2843 

50 

8 

OO 

35  37 

34  56 

34  12 

33  28 

32  43 

31  56 

31  07 

30  17 

29  26 

28  33 

27  40 

8     00 

'lO 

34  10 

33  31 

32  50 

32  08 

31  24 

30  40 

29  53 

29  05 

28  16 

27  26 

26  34 

10 

20 

32  44 

32  05 

31  26 

30  46 

30  05 

29  22 

28  38 

27  53 

27  07 

26  18 

25  29 

20 

30 

31  16 

30  40 

30  02 

29  24 

2845 

28  05 

27  23 

26  40 

25  56 

25  10 

24  23 

30 

40 

29  49 

29  15 

2839 

28  02 

27  25 

26  47 

26  07 

25  27 

24  44 

24  01 

23  17 

40 

50 

28  22 

27  49 

27  15 

26  41 

26  05 

25  29 

24  52 

24  13 

23  32 

22  52 

22  10 

50 

» 

OO 

26  53 

26  23 

25  51 

25  18 

24  44 

24  10 

23  34 

22  58 

22  21 

21  41 

21  01 

9           00 

lO 

25  24 

24  56 

24  25 

23  55 

23  24 

22  51 

22  18 

21  44 

21  08 

20  32 

19  54 

10 

20 

23  57 

23  30 

23  01 

22  33 

22  03 

21  33 

21  01 

20  29 

19  56 

19  21 

18  47 

20 

30 

22  28 

22  02 

21  36 

21  09 

20  41 

20  13 

19  44 

19  13 

18  42 

18  10 

1738 

30 

40 

20  59 

20  35 

20  II 

19  45 

19  20 

1853 

18  26 

1758 

17  29 

16  58 

16  29 

40 

50 

19  29 

19  08 

18  45 

18  22 

17  58 

17  34 

17  07 

16  42 

16  15 

15  47 

15  19 

60 

lO 

OO 

18  00 

17  41 

17  19 

16  58 

16  36 

16  13 

15  50 

15  26 

15  01 

14  35 

14  10 

10     00 

lO 

16  32 

16  13 

.  15  53 

15  33 

15  14 

14  53 

14  31 

14  10 

13  47 

13  24 

13  00 

10 

20 

15  02 

14  45 

14  27 

14  10 

13  51 

13  32 

13  13 

12  53 

12  33 

12  12 

II  50 

20 

30 

13  32 

13  17 

13  01 

12  46 

12  29 

12  12 

II  55 

II  37 

II  18 

10  59 

10  39 

30 

40 

12  02 

11  48 

II  34 

II  21 

II  06 

10  51 

10  35 

10  20 

10  03 

946 

9  29 

40 

50 

10  32 

ID  21 

10  08 

9  56 

9  43 

9  30 

9  16 

9  03 

848 

8  33 

8  18 

50 

11 

OO 

9  03 

852 

8  41 

831 

8  20 

8  09 

7  57 

7  45 

7  33 

721 

7  07 

11     00 

10 

7  32 

7  23 

7  15 

706 

657 

647 

637 

6  28 

6  18 

6  07 

5  57 

10 

20 

6  01 

5  55 

5  49 

541 

5  34 

526 

5  19 

5  II 

5  02 

4  54 

4  46 

20 

30 

4  32 

4  27 

4  21 

4  15 

4  10 

4  04 

3  59 

3  53 

3  47 

3  4f' 

3  34 

30 

?R 

3  01 

258 

2  54 

2  51 

2  47 

2  43 

2  39 

2  35 

2  31 

2  26 

2  23 

40 

50 

I  31 

1  29 

I  27 

I  26 

I  24 

I  21 

I  20 

I  17 

I  16 

I  14 

I  Ii 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulbted  azimuths  are  reckoned  from  South  to  West.  , 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taben  for  the  required  true  bearing. 


265 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  65°. 

DECLINATION- 

-SAME  NAME  AS— I^ATITUDE. 

LATITUDE  65°. 

Hour 

Angle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

li. 

m. 

o  / 

0  / 

0  / 

0  / 

0  r 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  r 

b.     m. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0     00 

lO 

176  31 

176  29 

176  26 

176  23 

176  20 

176  17 

176  14 

176  10 

176  06 

17603 

175  59 

175  55 

10 

20 

173  03 

172  58 

172  52 

172  47 

172  40 

172  35 

172  28 

172  21 

172  14 

172  06 

171  59 

m  50 

20 

30 

169  36 

169  28 

169  20 

169  II 

169  03 

16853 

168  43 

168  33 

168  22 

168  n 

167  59 

167  46 

30 

40 

166  og 

165  59 

16548 

165  37 

16525 

165  13 

165  01 

164  48 

164  33 

164  18 

164  03 

163  46 

40 

50 

162  45 

162  32 

162  19 

162  05 

161  51 

161  36 

161  20 

161  04 

160  47 

160  28 

160  10 

159  49 

50 

1 

OO 

159  22 

159  08 

158  52 

15836 

158  19 

158  01 

157  42 

157  24 

157  03 

156  42 

156  20 

155  56 

1     00 

lO 

156  02 

155  45 

155  27 

155  08 

154  49 

154  29 

154  08 

153  47 

153  24 

152  59 

152  34 

152  08 

10 

20 

152  44 

152  25 

152  05 

151  45 

151  23 

151  01 

150  37 

150  13 

149  47 

149  21 

148  53 

148  23 

20 

30 

149  29 

149  08 

148  47 

148  24 

148  01 

147  36 

147  10 

146  44 

146  16 

145  47 

145  17 

144  45 

30 

40 

146  17 

145  55 

145  31 

145  07 

144  41 

144  15 

143  47 

143  19 

142  49 

142  18 

141  46 

141  12 

40  • 

50 

143  08 

142  44 

142  19 

141  53 

141  27 

140  59 

140  39 

139  59 

139  28 

13854 

138  20 

137  44 

50 

2 

OO 

140  03 

139  37 

139  10 

138  43 

138  15 

137  45 

137  15 

136  43 

136  10 

135  35 

135  00 

-34  21 

2     00 

lO 

137  00 

136  34 

136  06 

135  37 

13508 

134  37 

134  05 

133  32 

132  57 

132  21 

131  44 

131  05 

1" 

20 

134  00 

133  33 

133  05 

132  35 

132  04 

131  32 

13059 

130  25 

129  49 

129  13 

128  35 

127  54 

20 

30 

131  06 

130  36 

130  07 

129  36 

129  04 

128  32 

127  58 

127  22 

126  46 

126  08 

125  29 

124  48 

30 

40 

128  13 

127  43 

127  12 

126  41 

126  09 

125  35 

125  00 

124  24 

123  47 

123  09 

122  28 

121  47 

40 

50 

125  23 

124  53 

124  22 

123  50 

123  17 

122  43 

122  C7 

121  31 

120  53 

120  14 

119  34 

118  51 

50 

3 

OO 

122  38 

122  07 

121  35 

121  03 

120  29 

"9  54 

119  18 

118  41 

118  03 

117  24 

116  43 

116  01 

3     00 

lO 

119  54 

119  23 

118  51 

118  18 

117  44 

117  08 

116  32 

1 1-5  55 

115  16 

114  36 

113  56 

113  12 

10 

20 

117  15 

•u6  43 

116  10 

115  36 

115  02 

114  27 

IT3  50 

113  13 

112  34 

III  54 

in  14 

no  30 

20 

30 

"4  37 

T14  05 

"3  32 

112  58 

112  24 

III  49 

III  12 

no  34 

109  55 

109  16 

108  35 

107  52 

30 

40 

112  03 

III  30 

no  57 

no  23 

109  49 

109  13 

108  37 

107  58 

107  20 

106  40 

106  00 

105  17 

40 

50 

109  31 

108  58 

108  25 

107  51 

107  16 

106  41 

106  04 

105  26 

104  48 

104  09 

103  28 

102  45 

50 

4 

OO 

107  01 

106  29 

105  56 

105  22 

104  48 

104  12 

103  35 

102  57 

102  18 

1 01  40 

loi  00 

100  18 

4     00 

lO 

104  33 

104  00 

103  27 

102  53 

102  19 

loi  44 

loi  07 

100  30 

99  52 

99  13 

98  33 

97  52 

10 

20 

102  08 

lOI  36 

loi  03 

100  29 

99  54 

99  19 

98  43 

98  07 

97  28 

96  49 

96  10 

95  28 

20 

30 

99  45 

99  12 

^"^^ 

98  06 

97  32 

9656 

96  21 

95  44 

95  06 

94  29 

93  50 

93  09 

30 

40 

97  24 

96  5i 

96  18 

95  46 

95  12 

94  37 

94  01 

93  25 

92  4; 

92  10 
8953 

91  32 

90  51 

40 

50 

95  04 

94  32 

93  59 

93  26 

92  53 

92  18 

91  43 

91  08 

90  30 

89  15 

8835 

50 

5 

OO 

92  45 

92  14 

91  41 

91  09 

9035 

90  01 

89  26 

88  50 

88  14 

8738 

87  00 

86  21 

5     00 

lO 

g^ 

89  57 

89  25 

8853 

88  19 

87  46 

87  12 

8637 

86  01 

85  25 

84  48 

84  09 

10 

20 

87  42 

87  II 

86  38 

8605 

-  85  32 

8458 

84  24 

83  48 

83  13 

8236 

81  59 

20 

30 

8558 

85  28 

8456 

84  25 

83  53 

83  19 

82  46 

82  12 

81  38 

81  03 

80  27 

79  51 

30 

40 

83  44 

83  15 

82  43 

82  12 

81  40 

81  09 

8035 

80  02 

7928 

78  54 

78  19 

77  42 

40 

50 

81  32 

81  03 

8033 

80  01 

79  30 

78  59 

78  26 

77  55 

77  20 

76  46 

76  12 

75  37 

50 

6 

OO 

79  20 

7851 

78  22 

77  50 

77  20 

76  49 

76  18 

75  45 

75  12 

74  39 

74  06 

73  31 

6     00 

lO 

77  09 

76  41 

76  II 

75  41 

75  " 

74  40 

74  09 

73  38 

73  05 

72  32 

72  00 

71  26 

10 

20 

75  00 

74  31 

74  03 

73  32 

73  03 

72  33 

72  02 

71  31 

70  59 

70  29 

6956 

69  22 

20  j 

30 

72  50 

72  21 

71  53 

71  24 

70  55 

70  25 

69  55 

69  25 

6854 

68  24 

67  52 

67  19 

30 

40 

70  40 

70  12 

69  45 

69  16 

68  48 

68  19 

67  50 

67  20 

66  50 

66  19 

65  49 

65  17 

40 

50 

6831 

68  04 

67  37 

67  09 

66  41 

66  13 

65  44 

65  14 

64  45 

64  16 

63  46 

63  14 

50  ! 

1 

7 

OO 

(56  22 

6556 

65  29 

65  02 

64  35 

64  06 

6338 

63  10 

62  41 

62  12 

61  44 

61  13 

7     00 

lO 

64  13 

63  47 

63  21 

62  55 

62  27 

62  01 

61  33 

61  06 

6038 

60  09 

59  41 

59  12 

10 

20 

62  04 

61  39 

6x  13 

60  48 

60  21 

59  55 

59  28 

59  02 

5834 

5807 

57  39 

57  II 

20 

30 

59  56 

59  31 

59  06 

5841 

5815 

57  50 

57  24 

56  57 

56  31 

56  05 

55  39 

55  10 

30 

40 

57  47 

57  23 

56  59 

56  34 

56  09 

55  45 

55  20 

.54  54 

54  28 

54  02 

53  36 

53  09 

40 

50 

55  38 

55  15 

54  51 

54  27 

54  04 

53  40 

53  15 

52  50 

52  25 

52  00 

51  35 

51  09 

50 

8 

OO 

53  29 

53  06 

52  43 

52  20 

51  57 

51  34 

51  10 

50  45 

50  22 

49  57 

49  33 

49  08 

8    00 

lO 

51  20 

5058 

50  36 

50  13 

49  51 

49  28 

49  05 

48  42 

48  19 

47  56 

47  32 

47  07 

10 

20 

49  09 

48  49 

48  27 

48  06 

47  44 

47  22 

47  00 

46  38 

46  t6 

45  53 

45  31 

45  07 

20 

30 

47  00 

46  39 

46  19 

45  58 

45  38 

45  16 

44  55 

44  34 

44  12 

43  50 

43  28 

43  06 

30 

40 

44  50 

44  30 

44  10 

43  51 

43  30 

43  1° 

42  49 

42  29 

42  08 

41  47 

41  27 

41  05 

40 

50 

+2  39 

42  20 

42  01 

41  42 

41  23 

41  04 

40  44 

40  24 

40  04 

39  44 

39  25 

39  04 

50 

9 

OO 

40  28 

40  ID 

39  51 

39  33 

39*15 

38  57 

38  38 

38  18 

38  00 

37  41 

37  22 

37  02 

9     00 

lO 

38  16 

37  59 

37  41 

37  25 

37  07 

36  5f> 

36  31 

36  14 

35  56 

35  38 

35  20 

35  01 

10 

20 

36  04 

35  48 

35  32 

35  15 

34  59 

34  42 

3+  25 

34  08 

33  51 

33  34 

33  17 

32  59 

20 

30 

33  52 

33  37 

33  21 

33  05 

32  50 

32  34 

32  17 

32  02 

31  46 

31  30 

31  14 

30  57 

30 

40 

31  39 

31  24 

31  09 

30  55 

30  40 

30  26 

30  10 

29  56 

29  41 

29  26 

29  n 

2855 

40 

50 

29  26 

29  12 

28  58 

2845 

2831 

28  17 

28  04 

27  49 

27  35 

27  21 

27  06 

26  53 

50 

lO 

OO 

27  12 

26  59 

26  46 

26  33 

26  21 

26  08 

25  55 

25  43 

25  29 

25  16 

25  04 

24  49 

10     00 

lO 

24  57 

24  46 

24  34 

24  22 

24  10 

23  59 

23  47 

23  35 

23  22 

23  10 

22  59 

2247 

10 

20 

22  43 

22  32 

22  22 

22  II 

22  00 

21  49 

21  38 

21  27 

21  17 

21  05 

20  55 

20  43 

20 

30 

20  28 

20  18 

20  09 

19  59 

19  49 

19  39 

19  30 

19  19 

19  09 

19  00 

18  50 

18  40 

30 

40 

18  12 

18  03 

17  55 

17  46 

17  37 

17  29 

17  20 

17  It 

17  02 

16  53 

16  45 

16  36 

40 

50 

15  56 

15  49 

15  42 

15  34 

15  27 

15  18 

15  II 

15  03 

14  55 

14  47 

14  39 

14  32 

60 

11 

OO 

13  41 

13  34 

13  27 

13  21 

13  14 

13  08 

13  01 

12  55 

12  48 

12  41 

12  34 

12  28 

11     00 

lO 

II  25 

II  19 

II  13 

II  09 

II  02 

10  56 

10  51 

10  45 

10  40 

10  34 

10  29 

10  23 

10 

20 

9  08 

9  04 

859 

855 

851 

8  46 

841 

836 

832 

8  27 

8  24 

8  19 

20 

30 

651 

6  48 

6  44 

6  41 

638 

6  34 

631 

627 

624 

6  21 

6  18 

6  14 

30 

40 

4  34 

4  32 

4  29 

4  27 

4  25 

4  23 

4  21 

4  19 

4  16 

4  14 

4  12 

4  09 

40 

50 

2  17 

2  16 

2  15 

2  14 

2  13 

2  II 

2  10 

2  09 

2  08 

2  07 

2  06 

2  05 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  >'orth  latitade,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  Istitnde,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  W^est. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


266 


AZIMUTH  OR  TRUE  BEARING. 


liATlTUDE  65°. 


DKCLINATION-SAME  NAME  AS— I^ATITUDE. 


LATITUDE  65°. 


Hour  Angle. 


o 


lO 


11 


12 


m. 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 

ao 

30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


36° 


i8o  OO 

li 

175  5° 

171  40 

167  34 

i( 

163  29 

i( 

159  28 

155  32 

151  39 

147  52 

144  10 

140  36 

137  06 

133  42 

130  24 

127  12 

124  06 

121  03 

118  08 

115  17 

112  29 

109  46 

107  08 

104  34 

102  02 

99  34 
97  09 
94  48 
92  28 
90  II 
8756 

85  42 
83  32 
81  22 
79  13 
77  06 
75  00 

72  56 
70  52 
68  49 
66  47 

64  45 
62  44 

60  43 
5842 
56  43 
54  42 
52  43 
50  43 

48  43 
46  43 
44  44 
42  44 
40  44 
38  44 

36  43 
34  42 
32  42 

30  41 
28  39 
2638 

24  36 
22  34 
20  32 
18  30 
16  26 
14  24 

12  21 
10  17 
8  14 
6  II 
4  07 
2  04 
o  00 


370 


38° 


180  00 
175  45 
171  31 
167  20 
163  10 
159  05 

155  05 
151  09 

147  20  I 
143  35  I 
139  58  \ 
136  26 

133  00 
129  42  I 
126  29 
123  20 
120  19 
117  22 

"4  31 
III  43 
J09  01 
106  23 
103  49 
loi  18 

98  51 
96  26 
94  04 
91  46 
89  29 
87  15 

85  02 
82  52 

80  43 
78  35 
76  28 
74  24 

72  20 
70  17 
68  16 
66  14 

64  13 
62  13 

60  12 
58  12 
56  14 
54  14 
52  16 
50  17 

48  18 
46  20 
44  20 
42  21 
40  23 
38  23 

36  24 
34  24 
32  24 
30  24 
28  24 
26  24 

24  23 
22  21 
20  20 
18  19 
16  18 
14  16 

12  14 
10  12 
8  10 
6  08 
4  05 
2  03 
o  00 


390 


40° 


41° 


42° 


43° 


44° 


45° 


46° 


47° 


180  00 
175  40  I 
171  21  : 
167  04 
162  50 
158  41 

154  36 
150  37 
146  44 
142  58 
139  18 
135  45 

132  17 
128  57 
125  43 
122  34 
119  31 
"6  35 

"3  44 
no  56 
io8  14 
105  36 
103  02 
100  32 

98  06 

95  41 
93  20 
91  02 
8847 
8633 

84  21 
82  II 
80  03 
77  56 
75  50 
73  47 

7>  44 
69  42 
67  41 

65  39 
63  40 
6 1  40 

59  41 
57  43 
55  44 
53  46 
51  48 
49  50 

47  52 
45  55 
43  57 
41  59 
40  00 
38  02 

36  04 
34  05 
32  06 
30  07 
28  09 
26  oS 

24  09 
22  10 
20  09 


1»  09 
16  08 

14 

08 

12 

07 

10 

06 

8 

05 

6 

03 

4 

02 

2 

01 

0 

00 

80  00 
75  34 
71  10  1 

66  48 

62  29  j 

58  15 

54  06 

50  02 

46  08 

42  18 
3835 
35  00 

31  31 

28  09 

24  55 
21  45 
1843 
15  46 

12  54 
10  07 
07  25 
04  47 
02  14 
99  44 

97  18 
94  54 
92  34 
90  17 
88  03 
85  50 

83  39 

81  30 
79  22 
77  16 
75  II 
73  09 

71  06 

69  05 

67  05 
65  05 

63  06 
61  08 

59  10 
57  12 

55  14 
53  17 

51  20 

49  23 

47  26 
45  29 

43  32 
41  36 
39  38 
37  41 

35  43 
33  46 
31  49 

29  50 
■  27  52 

25  54 

23  56 
21  57 
19  58 
17  58 
15  59 
14  00 

12  00 
10  01 
8  00 
6  00 
4  00 
2  00 
o  00 


180  00 
175  28 
170  58 
166  30 
162  06 
157  48 

153  35 
149  28 
145  28 
141  35 
137  50 
134  13 

130  43 
127  19 
124  04 
120  54 
117  51 
114  54 

112  03 
109  15 
106  34 

103  57 
loi  24 
98  55 

96  30 

94.07 
91  48 
8931 
87  17 
85  05 

82  55 
80  47 
78  41 
76  35 
74  31 
72  30 

70  28 
68  28 
66  29  ] 
64  30  1 
62  32 
60  35 

5838 
56  40  I 
54  44  j 
52  48  i 
50  52 
4856 

46  59  1 
45  04  I 
43  08  ; 
41  12  1 
39  16 
37  20 

35  23 
33  26 
31  30 
29  33 
27  36 
25  39 


180  00 
175  22 
170  46 
166  12 
161  42 
157  18 

153  00 
148  49 
144  47 
140  51 
137  02 
133  23 

129  52 
126  28 
123  II 
120  01 
116  57 
114  00 

III  09 
108  22 
105  41 
103  05 
100  32 
98  04 

95  40 
93  18 
90  59 
8843 
8631 
84  20 

82  10 
80  03 

77  58 
75  54 
73  51 
71  51 

69  49 
67  50 
65  52 
63  54 
61  57 
60  01 

5805 
56  09 
54  13 
52  18 
50  23 
48  29 

46  33 
44  38 
42  43 

40  48 


180  CO  180  00  180  00 

175  16  :  175  07  174  59 

170  32  '  170  16  !  170  01 

165  51  !  165  29  165  06 

161  16  160  48  I  160  16 

156  46  I  156  12  I  155  34 


152  24 
148  08 
144  01 
140  03 
136  13 
132  31 

128  58 
125  32 
122  15 
119  04 
116  00 
113  04 

no  13 
107  27 
104  46 
102  10 
99  39 
97  II 

94  47 
92  27 
90  09 
87  54 
8543 
83  33 

81  25 
79  18. 
77  15 
75  II 
73  09 
71  10 

69  10 
67  II 

65  15 
63  18 
61  22 
59  25 

57  31 
55  35 
53  41 
51  48 
49  53 
48  00 

46  05 

44  II 
42  18 
40  24 


38  53 

38  30 

36  59 

3636 

35  03 

3441 

33  07 

32  48 

31  12 

30  53 

29  16 

28  59 

27  20 

27  03 

25  24 

25  09 

23  42 

23  27 

21  43 

21  31 

19  46 

19  35 

1748 

17  38 

15  50 

15  40 

13  52 

13  44 

II  53 

II  46 

948 

7  5^ 

7  51 

5  57 

5  53 

3.'i8 

356 

1  59 

I  58 

0  00 

0  00 

23  13 

21  17 
19  22 
17  27 
15  31 

13  35 

II  39 
9  42 
7  46 
5  50 
3  53 
156 
o  00 


151  44 
147  24 
143  14 
139  II 
135  19 
131  36 

128  01 
124  35 
121  16 
118  05 
115  02 
112  05 

109  14 
106  29 
103  50 
loi  14 
98  44 
96  17 

93  54 
91  35 
89  18 

87  05 
84  54 
82  45 

80  37 
78  32 
76  29 
74  27 
72  26 
70  28 

68  29 
66  32 

64  36 
62  41 
60  45 
58  50 

5656 
55  02 
53  09 
51  16 
49  23 
47  31 

45  38 
43  45 
41  53 
40  00 
3807 
36  14 

34  20 
32  28 
30  34 
28  40 
26  47 
24  53 

22  59 
21  05 
19  10 
17  16 
15  22 
13  27 

II  32 
9  36 

7  42 
5  46 
3  51 
I  55 
o  00 


151  01 
146  36 
142  22 
138  16 
134  21 
130  36 

126  59 
123  33 
120  14 

117  03 
114  00 
III  03 

108  13 
105  28 
102  49 
100  15 
97  46 
95  20 

92  58 
90  39 
88  24 
86  12 
84  02 
81  54 

79  48 
77  45 
75  43 
73  42 
71  43 
69  45 

6748 
65  51 
63  57 
62  02 
60  08 
58  15 

56  22 
54  29 
52  36 
50  44 
4853 
47  01 

45  09 
43  18 
41  27 
39  35 
37  42 
35  51 

33  59 
32  07 
30  15 
28  23 
26  30 
24  38 

22  44 
20  51 
18  58 
17  05 
15  II 
13  18 


180  00 
174  51 
169  43 
164  40 
159  43 
154  55 


125  55 
122  27 

119  08 
115  58 
"2  54 
109  58 

107  09 
104  26 
loi  48 

99  15 
96  46 
94  21 

92  01 
89  44 
87  29 
85  19 
83  10 
81  03 

7859 
76  56 

74  55 
72  56 
7058 
69  01 

67  05 
65  10 
63  16 
61  23 
59  30 
5738 

55  46 
53  54 
52  03 
50  12 


33  37 
31  46 
29  55 
28  04 
26  12 
•24  21 

22  29 

20  37 
18  45 
16  54 
15  01 
13  09 


48  22  , 

47  50 

46  32  1 

46  01 

44  40  1 

44  II 

42  50  1 

42  22 

40  59 

40  33 

39  10 

38  44 

37  18 

36  54 

35  28 

35  04 

33  15  • 
31  25 
29  35  ' 
27  46 
25  55 
24  05  i 

22  15 

20  24  i 
18  34 
16  42 

14  51  I 
13  00  i 


II  24 

II  16 

II  09 

9  30 

9  24 

9  18 

7  3t> 

731 

7  27 

5  43 

538. 

5  35 

3  4« 

3  46 

3  43 

I  54 

I  53 

I  52 

0  00 

0  00 

0  00 

180  00 

174  29 

169  02 

163  40 
158  26 

153  22 
148  30 

143  49 

139  21 
135  06 
131  04 
127  13 

123  33 

120  04 
117  46 

"3  35 
"0  33 
107  39 

104  52 
102  10 
99  34 
97  03 
94  39 
92  17 

90  00 
8745 
85  34 
83  26 
81  20 
79  16 

77  15 
75  15 
73  16 
71  19 
69  24 
67  30 

6538 
63  44 
61  54 
60  02 
58  II 
56  22 

54  33 
52  43 
50  55 
49  06 
47  18 
45  30 

43  41 
41  53 
40  05 
38  17 
36  29 
34  41 

32  52 
31  03 
29  16 
27  27 
25  37 
23  49 

21  59 
20  10 
18  21 
16  31 
14  41 
12  51 

II  02 

9  II 
7  21 

5  31 
3  41 
I  51 
o  00 


jMour  Angle. 


li. 

O 


10 


11 


12 


ni. 
00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
60 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  ?(orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising;  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


267 


AZIMUTH  OR  TRUE  BEARING. 


I^ATITIDE  65°. 


DECIvINATION— SAME  NAME  AS— LATITUDE. 


I^ATITUDE  65°. 


Hour  Angle. 


li. 

O 


lO 


11 


12 


OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
iO 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 

so 

30 
40 
50 

OO 
lO 

ao 

30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 

ao 

30 
40 
50 

OO 
lO 

ao 

30 
40 
30 

OO 
lO 

ao 

30 
40 
50 

OO 
lO 

ao 

30 
40 
50 

OO 
lO 

ao 

30 
40 
50 
OO 


48° 

490  i 

o  / 

0  ,  i 

i8o  OO 

180  06  ' 

174  17 

174  03 

i63  38 

168  II 

163  05 

162  26 

157  41 

156  52  I 

152  28 

151  30 

147  29 

146  23 

142  43 

141  30 

138  II 

136-54 

133  53 

132  32 

129  48 

128  25 

125  56 

124  33 

122  15 

120  51 

lis  47 

117  23 

115  28 

114  05 

112  18 

no  56 

109  17 

107  56 

106  24 

105  05 

103  38 

102  21 

100  s8 

99  43 

98  24 

97  10  1 

95  55 

94  44 

93  31 

92  22 

91  12 

90  03 

8856 

87  50 

8643 

8538 

&»  33 

83  30 

82  26 

81  26 

80  23 

79  23 

78  21 

77  23, 

76  20 

75  24 

?4  22 

73  28  ! 

72  25 

71  32  : 

70  30 

6939 

6835 

67  46  1 

6644 

6555; 

64  47 

64  04  i 

63  00 

62  15 

61  10 

60  27 

59  21 

5838  , 

57  32 

56  50  ' 

55  43 

55  03  : 

53  55 

53  17  1 

52  0^ 

51  30  ! 

50  19 

49  44 

4833 

4758 

46  46 

46  12 

44  59 

44  27 

1 

43  " 

■42  41 

41  25 

40  55 

3938 

39  10 

37  50 

37  24 

36  04 

3538 

34  17 

3352 

32  30 

32  07 

30  43 

30  21 

28  55 

28  35 

27  08 

26  49 

25  19 

25  01 

23  32 

23  16 

21  44 

21  29 

1956 

19  42 

18  08 

1755  ! 

16  20 

i6  08  : 

14  31 

14  21 

12  43 

12  33 

10  53 

10  45 

9  05 

8  58 

716 

7  " 

5^ 

5  24 

338 

3  35 

I  49 

I  48 

0  00 

0  00 

50° 


180  00 

173  48  1 
167  41 

161  43  i 
155  57 
150  25 

145  10  : 
140  II  I 
135  30 
131  05 
126  56 
123  03  ■ 

119  22  i 

"5  54  : 
112  36 
109  29 
106  31 
103  42  , 

loi  00 
98  23 
95  53 
93  29 
91  08 
88  52 

86  40 
8431 
82  25 
80  22  j 
78  22 
76  23 

74  26 
72  31 
70  38 
68  46 
6655 
65  05 

63  16 
61  28 
59  41 
57  55 
5608 
54  22 

52  37 
50  52 
49  C7 
47  22 
4538 
43  53 

42  09 
40  25 
38  40 
36  56 
35  12 
33  27 

31  43 
29  58 
28  13 
26  28 
24  43 
22  58 

21  12 
19  27 
17  42 
15  56 
14  10 
12  23 

10  38 
851 
7  05 
5  19 
3  33 
I  46 


51° 


5a° 


53° 


54° 


55° 


180  00 
173  31 
167  07 
160  54 
154  54 
149  II 

143  48 
138  43 
133  57 
129  29 
125  19 
121  26 

117  44. 
114  17 
III  03 

107  57 
10.5  01 
102  13 

99  33 
97  00 
94  32 
92  09 
89  51 
87  38 

85  28 
83  21 
81  18 
79  17 
77  18 
75  21 

73  26 
71  33 
69  42 
67  52 
66  02 

64  15 

62  26 
60  40 
58  55 
57  09 
55  24 
53  41 

51  57 
50  12 
48  29 
46  46 
45  03 
43  20 

41  37 
39  55 
38  II 
36  28 
34  45 
33  02 

31  18 
29  36 
27  52 
26  08 
24  24 
22  40 

20  57 

19  13 
17  28 

15  44 
13  59 
12  15 

10  30 

845 
7  00 

5  15 
3  30 
I  45 
o  00 


180  00 

173  II 
166  27 

159  57 
153  43 
147  49 

142  16 
137  05 
132  16 
127  46 
123  34 
119  40 

116  00 

112  35 
109  22 
106  18 
103  25 
100  41  ; 

98  03 
95  32 
93  06 
90  47  I 
88  32 
86  20  ! 

84  13  I 
82  08  ! 
80  07  j 
78  08  i 
76  12 
74  17 

72  24 

70  33 
68  44 

6655 
65  07  , 
63  21 

6136  I 

59  50 : 

5807  ! 
56  23 
54  39 

52  57  i 

51  H  I 
49  32 
47  51 
46  08 
44  27 
42  45 

41  04 
39  22 
37  40 
35  59 
34  17 
32  36 

30  54 
29  12 
27  30 

25  47 
24  04 
22  23 

20  39 
1857 
17  14 

15  31 
1348 
12  05 

10  21 
837 
6  54 
5  II 
3  28 

I  43 
o  00 


180  00 
172  47 
165  43 
15852 
152  22 
146  15 

140  34 
135  15 
130  22 

125  50 
121  39 

117  45 

114  08 
no  45 
107  34 
104  33 
loi  44 
99  02 

96  27 
94  00 

91  37 
89  20 
87  08 
84  59 

8255 
8052 

7854 
7^58 
75  03 
73  II 


69  30 
67  43 
65  57 
64  II 
62  26 

60  42 
59  00 

57  17 
55  36 
53  54 
52  12 

50  32 
4851 
47  10 
45  31 
43  50 
42  10 

40  30 
38  50 
37  10 
35  30 
33  49 
32  09 

30  28 
28  48 
27  08 
25  27 
23  45 
22  04 

20  23 
18  42 
17  00 
15  19 
13  37 
II  54 

10  13 
8  30 
6  49 
5  08 
3  24 
I  42 
o  00 


180  00 
172  19 
164  49 
157  37 
150  48 
144  28 

138  37 
133  14 
128  17 
123  45 
"9  33 
115  43 

112  06 
108  46 
105  39 
102  43 
99  56 
97  18 

94  48 
92  23 
90  04 
87  50 
83  41 
8336 

81  34 
79  34 
77  39 
75  44 
73  53 
72  03 

70  14 
68  27 
66  42 
64  57 
63  14 
61  31 

59  49 
58  08 
56  27 
54  47 
53  07 
51  27 


180  00 
171  47 
163  45 
156  08 
149  00 
142  25 

136  24 
130  36 
125  57 
121  24. 
117  15 
113  27 

109  55 
106  40 
103  36 
100  44 
98  01 
9528 

93  01 
90  40 
88  26 
86  16 
84  10 
82  07 

80  09 
78  12 
76  19 
7428 
72  39 
70  51 

69  06 
67  21 
6537 
63  55 
62  13 
DO  33 

58  53 
57  13 
55  36 
53  56 
52  18 
50  41 


56<^ 


57° 


58° 


59°       Honr  Angle. 


180  00 
171  07 
162  30 
154  18 
146  52 
140  02 

133  53 
128  20 
123  21 
118  51 
114  45 
III  01 

107  34 
104  23 
1 01  26 

98  39 
96  00 

93  32 

91  09 
8853 
8643 
84  36 
82  35 
80  36 

78  41 
76  48 
74  57 
73  10 
71  23 
69  39 

67  55 
66  13 

64  32 
62  52 
61  12 
59  34 

57  56 
56  18 
54  42 
53  05 
51  29 
49  53  t 


49  49 

49  03 

48  09 

47  26 

46  30 

45  48 

44  52 

44  12 

43  13 

42  34 

41  34 

40  57 

39  55. 

39  20 

38  17 

37  43 

36  3« 

3606 

34  59 

34  29 

33  21 

32  51 

31  42 

31  14 

30  02 

29  37 

28  24 

27  59 

26  45 

26  21 

25  05 

24  43 

23  25 

23  05 

21  46 

21  27 

20  06 

19  49 

18  26 

18  ID 

16  46 

16  31 

15  06 

14  52 

13  25 

13  14 

II  45 

II  34 

m  04 

956' 

8  24 

8  17  ; 

6  43 

^^ 

5  03 

458 

3  21 

3  19 

I  41 

I  39  j 

0  00 

0  00 

1 

46  41 

45  06 
43  31 
41  55 
40  19 

38  44 
37  09 
35  33 
33  58 
32  22 
30  46 

29  10 
27  34 
25  57 
24  21 
22  44 
21  oS 

19  31 
17  53 
16  16 

14  39 
13  02 
II  24 

9  47 
8  09 
6  31 
4  54 
3  16 


180  00 
170  17  , 
160  55 
152  14 
144  19 
137  14 

13°  58 
125  23 
120  26 

115  59 
I'l  59 
108  20 

105  01 
loi  56 

99  05 
96  23 

93  52 
91  28 

89  II 
87  00 
8455 
82  53 
8055 
79  01 

77  09 
75  19 
73  33 
71  47 
70  04 
68  22 

66  41 
65  02 
63  23 
6i  45 
60  08 
58  33 

5656 
55  21 
53  47 
52  12 
50  37 
49  "3 

47  30 
45  55 
44  22 

42  48 
41  14 
39  40  I 

38  07 
36  33  ' 
34  59 
33  25  I 
31  50  I 
30  16 

28  42  I 
27  07  1 
25  33 
2358 
22  23 
20  47 

19  12 
17  37 
16  01 
14  25 
12  49 
II  13 

9  37 
8  01 
6  25 
448 
3  12 
I  37 
o  00 


180  00 
169  13 
158  57 
149  35 
141  14 
133  56 

127  34 
122  01 
117  09 
112  49 
108  56 
105  27 

102  15 
99  18 
96  34 
94  01 
91  36 
89  19 

87  08 
8502 
83  01 
81  05 
79  II 
77  21 

75  33 
73  47 
72  04 
70  22 
68  42 
67  03 

65  25 
63  48 
62  13 
60  38 
59  03 
57  30 

55  55 
54  23 
52  50 
51  17 
49  45 
48  13 

46  41 
45  09  J 

43  37  ' 
42  05 
40  33 
39  01 

37  28 
35  57 
34  25 
32  52 
31  20 
29  46 

28  14 
26  41 
25  08 
23  34 
22  01 
20  27 

18  54 
17  20 
15  46 
14  II 
12  37 
II  03 

9  28 
7  53 
6  19 
4  44 
3  09 
I  35 
o  00 


180  00 
167  49 
156  24 
146  14 
137  27 
129  58 

123  38 
118  10 
113  26 
109  18 
105  37 
102  18 

99  15 
96  29 

93  53 
91  29 
89  12 
87  02 

8457 
8258 
81  03 
79  II 
77  22 
7536 

73  54 
72  12 
70  33 
6854 
67  18 
65  42 

64  07 
62  32 
61  00 
59  28 
57  55 
56  25 

54  53 
53  22 
51  52 
50  21 

4851 
47  21 

45  50 
44  20 
42  51 
41  21 
39  51 
38  20 

36  50 
35  19 
3348 
32  18 
30  48 
29  17 

27  45 
26  14 
24  42 
23  10 
21  39 
20  07 

18  35 
17  02 
15  30 
13  57 
12  25 
io  52 

9  18 
7  46 
6  12 
4  39 
3  06 
I  34 
o  00 


b. 

O 


10 


11 


la 


lU. 

00 
10 
ao 
30 
40 
50 

00 
10 
ao 
30 
40 
50 

00 
10 
ao 
30 
40 
50 

00 
10 
ao 
30 
40 
50 

00 
10 
ao 
30 
40 
50 

00 
10 
ao 
30 
40 
50 

00 
10 
ao 
30 
40 
50 

00 
10 
ao 
30 
40 
50 

00 
10 
ao 
30 
40 
50 

00 
10 
ao 
30 
40 
50 

00 
10 
ao 
30 
40 
50 

00 
10 
ao 
30 
40 
50 
00 


In  >'orth  latitude,  when  the  star  is  rising  or  East  of- the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  .star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  trom  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


268 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  65°. 

DECWNATION— SAME  NAME  AS— IvATITUDE. 

LATITUDE  65°. 

Hour  Angle. 

60° 

61° 

630 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

li. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

Ii.    ni. 

O 

OO 

l80  (X3 

180  00 

180  00 

180  00 

180  00 

0  00 

0  00 

0  00 

0  00 

0  CX) 

0    00 

lO 

165  53 

163  02 

158  29 

150  10 

131  45 

"ss'si' 

44  55 

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109  58 

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2  59 

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0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

la    00 

In  A'orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


269 


AZIMUTH  OR  TRUE  BEARING. 


I.ATITUDE  66°. 

DECLINATION- 

-SAME  NAME  AS-LATITUDE. 

liATITlTDE  66°. 

Hour  An 

gle. 

24° 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Hour  Angle. 

b. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  » 

0  / 

0  / 

0  / 

0  / 

0  / 

0  f 

b.    m. 

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176  35 

176  33 

176  31 

176  28 

176  25 

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173  06 

173  01 

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20 

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156  12 

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51  27 

51  07 

50  45 

50  23 

50  02 

49  40. 

49  17 

48  55 

48  32 

48  09 

47  46 

47  24 

10 

ao 

49  17 

4857 

48  36 

48  15 

47  53 

47  33 

47  II 

46  49 

46  29 

46  07 

45  44 

45  22 

20 

30 

47  06 

46  46 

46  27 

46  06 

45  46 

45  26 

45  05 

44  44 

44  24 

44  03 

43  41 

43  20 

30 

40 

44  55 

44  36 

44  17 

43  58 

43  38 

43  19 

42  59 

42  39 

42  19 

41  59 

41  38 

41  18 

40 

50 

42  43 

42  26 

42  08 

41  48 

41  30 

41  12 

40  52 

40  34 

40  15 

39  55 

39  35 

39  15 

50 

9 

OO 

40  31 

40  14 

.39  57 

39  38 

39  21 

r^ 

38  45 

3827 

3809 

37  51 

37  31 

37  13 

9     00 

lO 

38  20 

3803 

37  46 

37  29 

37  12 

3638 

36  20 

36  04 

35  46 

35  29 

35  II 

10 

20 

36  07 

35  51 

35  36 

35  20 

35  03 

34  48 

34  32 

34  15 

33  59 

33  42 

33  25 

33  09 

20 

30 

33  55 

33  40 

33  24 

33  09 

32  54 

32  39 

32  24 

32  08 

31  52 

31  37 

31  21 

31  05 

30 

40 

31  41 

31  27 

31  12 

30  59 

30  44 

30  30 

30  15 

30  00 

29  47 

29  32 

29  17 

29  02 

40 

50 

29  27 

29  14 

29  01 

28  48 

2834 

28  21 

28  07 

27  54 

27  40 

27  27 

27  12 

-26  59 

50 

lO 

OO 

27  13 

27  or 

26  49 

26  36 

26  23 

26 II 

25  59 

25  46 

25  34 

25  21 

25  08 

24  55 

10     00 

lO 

24  58 

24  47 

24  36 

24  24 

24  13 

24  01 

23  50 

23  38 

23  26 

23  15 

23  03 

22  51 

10 

20 

22  44 

22  33 

:2  23 

22  12 

22  03 

21 52 

21  41 

21  31 

21  20 

21  09 

20  59 

20  48 

20 

30 

20  28 

20  20 

io  10 

20  01 

19  50 

19  41 

19  32 

19  22 

19  13 

19  03 

18  54 

18  44 

30 

40 

18  12 

18  D4 

17  56 

17  47 

17  39 

17  31 

17  22 

17  13 

17  06 

16  57 

16  47 

16  39 

40 

50 

15  57 

15  50 

15  42 

15  35 

15  27 

15  20 

15  13 

15  05 

14  57 

14  50 

14  43 

14  35 

50 

11 

OO 

13  41 

13  35 

13  29 

13  22 

13  15 

13  09 

13  03 

12  56 

12  49 

12  43 

12  37 

12  30 

11     00 

lO 

II  25 

II  19 

II  14 

II  08 

II  04 

10  58 

10  53 

1047 

10  42 

10  37 

10  30 

10  25 

10 

20 

9  07 

9  03 

859 

855 

8  50 

8  46 

8  42 

837 

8  34 

8  29 

825 

8  20 

20 

30 

651 

6  48 

6  45 

6  42 

6  39 

635 

632 

6  28 

625 

6  22 

6  19 

6  16 

30 

40 

4  34 

4  32 

4  30 

4  28 

4  25 

4  23 

4  21 

4  19 

4  17 

4  15 

4  12 

4  10 

40 

50 

2  17 

2  16 

2  15 

2  13 

2  13 

2  II 

2  II 

2  09 

208 

2  07 

2  06 

2  06 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising;  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


270 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  66°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

LiATITUDE  66°. 

Hour  Angle. 

36° 

370 

38° 

390 

40° 

41° 

42° 

43° 

44" 

450 

46° 

47° 

Hour  Angle. 

Ii. 

m. 

o  / 

0    1 

0  / 

0  / 

0  / 

c  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

It.    ni. 

0 

OO 

i8o  oo 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

iSo  00 

180  00 

180  00 

180  00 

0    00 

lO 

175  58 

175  53 

175  .48 

175  44 

175  39 

175  32 

175  26 

175  20 

175  12 

175  04 

174  56 

174  47 
169  35 

10 

20 

171  55 

171  47 

171  38 

171  28 

171  17 

171  05 

170  54 

170  40 

170  26 

170  10 

169  54 

20 

30 

167  56 

167  43 

167  29 

167  14 

166  59 

166  42 

166  24 

166  05 

165  43 

165  20 

164  56 

164  28 

30 

40 

163  57 

163  41 

163  23 

163  04 

162  43 

162  22 

161  58 

161  33 

161  05 

160  35 

160  03 

159  27 

40 

50 

160  03 

159  42 

159  21 

158  58 

15832 

158  06 

157  37 

157  06 

156  32 

155  57 

155  18 

154  36 

SO 

1 

OO 

156  12 

155  49 

155  23 

154  55 

154  27 

153  56 

153  22 

152  47 

152  09 

151  27 

150  43 

149  53 

1    00 

lO 

152  25 

151  58 

151  30 

150  58 

150  26 

149  51 

149  14 

148  34 

147  51 

147  05 

146  15 

145  21 

10 

20 

148  44 

14S  13 

147  41 

147  08 

146  32 

145  53 

145  12 

144  29 

143  42 

142  53 

141  58 

140  59 

20 

30 

145  05 

144  33 

143  58 

143  22 

142  43 

142  02 

141  18 

140  32 

139  41 

138  48 

137  51 

136  49 

30 

40 

141  33 

140  58 

140  22 

139  43 

139  01 

138  18 

137  31 

136  43 

135  50 

134  54 

133  54 

132  50 

40 

60 

138  07 

137  30 

136  52 

136  II 

135  27 

134  42 

133  54 

133  02 

132  07 

131  10 

130  08 

129  01 

SO 

Z 

OO 

134  45 

134  07 

133  26 

132  43 

131  59 

131  II 

130  21 

129  29 

12833 

127  33 

126  29 

125  22 

2    00 

10 

131  28 

130  49 

130  07 

129  23 

12837 

127  48 

126  58 

126  03 

125  07 

124  06 

123  02 

122  53 

10 

20 

128  17 

127  37 

126  54 

126  09 

125  22 

124  32 

123  41 

122  45 

121  47 

120  47 

119  42 

118  33 

20 

30 

125  II 

124  29 

123  46 

123  00 

122  12 

121  22 

120  30 

119  34 

118  36 

117  35 

116  30 

115  21 

30 

40 

121  10 

121  27 

120  44 

119  57 

119  09 

118  18 

117  26 

116  30 

115  31 

114  30 

113  26 

112  18 

40 

60 

119  14 

118  31 

117  46 

117  00 

116  11 

115  21 

114  28 

113  32 

112  34 

III  33 

no  29 

109  21 

SO 

3 

OO 

116  22 

"5  39 

"4  55 

114  08 

113  19 

112  28 

III  35 

no  40 

10942 

108  41 

107  39 

106  32 

3    00 

10 

113  34 

112  51 

112  06 

III  19 

no  31 

109  40 

108  48 

107  53 

106  55 

105  55 

104  53 

103  48 

10 

20 

no  50 

no  08 

109  22 

108  36 

107  48 

106  s8 

106  05 

105  n 

104  14 

103  15 

102  14 

loi  09 

20 

30 

108  10 

107  28 

106  43 

105  57 

105  09 

104  19 

103  27 

102  34 

lOI  38 

100  40 

99  39 

98  ^6 

30 

40 

105  34 

104  52 

104  08 

103  22 

102  35 

loi  45 

100  54 

100  01 

99  06 

9809 

97  09 

96  07 

40 

50 

103  02 

102  20 

loi  36 

loo  50 

100  03 

99  14 

9824 

97  32 

9638 

95  41 

94  44 

93  42 

SO 

4 

OO 

100  33 

99  51 

99  08 

98  23 

97  36 

9648 

9558 

95  07 

94  13 

93  19 

92  22 

91  22 

4    00 

lO 

98  05 

97  24 

96  42 

95  56 

95  II 

94  24 

93  35 

92  45 

91  52 

-  9058 

90  02 

89  04 

10 

30 

95  43 

95  ot 

94  19 

93  35 

92  50 

92  03 

91  15 

90  25 

89  34 

88  42 

87  47 

86  50 

20 

30 

93  21 

92  40 

91  59 

91  15 

90  31 

8945 

88  58 

88  10 

87  19 

86  28 

85  35 

84  39 

30 

40 

91  02 

90  22 

8941 

8859 

88  15 

87  29 

8643 

8556 

85  07 

84  17 

83  24 

82  31 

40 

50 

8845 

88  06 

87  26 

8644 

86  01 

85  17 

8431 

8345 

82  56 

82  08 

81  16 

80  23 

SO 

5 

OO 

86  29 

85  51 

85  II 

84  30 

8348 

83  05 

82  21 

81  35 

80  48 

80  00 

79  10 

78  18 

5     00 

lO 

84  17 

8339 

8259 

82  19 

81  38 

80  55 

80  12 

79  28 

7842 

77  55 

77  06 

76  16 

10 

20 

82  05 

81  28 

80  50 

80  10 

79  30 

78  49 

78  06 

77  22 

7638 

75  52 

75  05 

74  16 

20 

30 

79  54 

79  18 

78  40 

78  02 

77  23 

76  42 

76  00 

75  18 

74  34 

73  50 

73  04 

72  17 

30 

40 

77  40 

77  10 

76  34 

75  56 

75  16 

74  37 

73  56 

73  15 

72  32 

71  49 

71  04 

70  18 

40 

60 

75  39 

75  04 

74  27 

73  50 

■ 

73  13 

72  35 

71  55 

71  14 

70  33 

69  51 

69  06 

68  22 

SO 

6 

OO 

73  32 

72  58 

72  22 

71  46 

71  ID 

70  32 

69  53 

69  14 

6833 

67  52 

67  10 

66  26 

6     00 

lO 

71  26 

70  52 

70  iS 

69  43 

69  07 

68  30 

67  52 

67  15 

6635 

65  55 

65  13 

64  31 

10 

20 

69  22 

68  49 

68  15 

67  41 

67  06 

66  30 

65  54 

6516 

64  37 

63  59 

63  19 

62  37 

20 

30 

67  18 

66  46 

66  13 

65  39 

65  05 

64  30 

63  54 

63  18 

62  41 

62  03 

61  24 

60  45 

30 

40 

65  14 

64  43 

64  11 

6338 

63  05 

62  31 

61  57 

61  23 

60  45 

60  08 

59  30 

58  52 

40 

50 

63  12 

62  42 

62  10 

61  38 

61  06 

60  33 

59  59 

59  25 

5850 

58  15 

5738 

57  01 

SO 

7 

OO 

6t  09 

60  40 

60  10 

5938 

5907 

5835 

58  02 

57  30 

56  55 

56  21 

55  45 

55  09 

7     00 

10 

59  07 

5^38 

5809 

57  38 

57  09 

56  37 

56  05 

55  34 

55  00 

54  27 

53  53 

53  18 

10 

20 

57  06 

5638 

56  09 

55  40 

55  10 

54  41 

54  10 

5338 

53  07 

52  35 

52  01 

51  27 

20 

30 

55  04 

54  38 

54  10 

53  41 

53  12 

52  44 

52  14 

51  43 

51  13 

50  42 

50  09 

49  37 

30 

40 

53  t^3 

52  37 

52  10 

51  43 

51  15 

50  47 

50  18 

49  49 

49  19 

48  49 

48  18 

47  47 

40 

50 

51  02 

50  37 

50  n 

49  44 

49  18 

48  51 

48  23 

47  55 

47  26 

46  57 

46  27 

45  57 

SO 

8 

OO 

49  00 

48  36 

48  12 

47  46 

47  21 

46  54 

46  28 

46  01 

45  32" 

45  05 

44  37 

44  08 

8     00 

lO 

47  00 

46  37 

46  13 

45  48 

45  23 

4458 

44  32 

44  06 

43  40 

43  14 

42  46 

42  18 

10 

20 

44  59 

44  37 

44  14 

43  50 

43  26 

43  01 

42  37 

42  12 

41  47 

41  22 

40  55 

40  28 

20 

30- 

4258 

42  36 

42  14 

41  52 

41  29 

41  05 

40  42 

40  19 

39  54 

39  29 

39  04 

38  38 

30 

40 

40  57 

40  36 

40  15 

39  53 

39  31 

39  10 

38  47 

38  24 

38  01 

3738 

37  '3 

36  49 

40 

50 

3855 

3836 

•38  16 

37  55 

37  34 

37  13 

36  52 

36  30 

36  08 

35  46 

35  23 

35  00 

SO 

9 

OO 

36  54 

3636 

36  16 

35  57 

35  37 

35  16 

34  56 

34  36 

34  15 

33  53 

33  32 

33  10 

9     00 

lO 

34  53 

34  34 

34  16 

33  58  ■ 

33  39 

33  20 

33  01 

32  41 

32  21 

32  01 

31  41 

31  22 

10 

20 

32  51 

32  35. 

32  18 

31  59 

31  42 

31  24 

31  05 

30  47 

30  28 

30  10 

29  50 

29  31 

20 

30 

30  49 

30  34 

30  17 

30  00 

29  44 

29  26 

29  10 

28  53 

2835 

28  17 

27  59 

27  41 

30 

40 

28  47 

28  32 

28  17 

28  01 

27  45 

27  30 

27  14 

26  58 

26  41 

26  25 

26  08 

25  50 

40 

SO 

26  45 

26  31 

26  17 

26  02 

2548 

25  33 

25  18 

25  03 

24  47 

24  32 

24  16 

24  00 

SO 

lO 

OO 

24  42 

24  29 

24  17 

24  03 

23  49 

23  36 

23  22 

23  08 

22  54 

22  40 

22  25 

22  10 

10     00 

lO 

22  40 

22  27 

22  16 

22  03 

21  51 

21  38 

21  26 

21  13 

20  59 

20  47 

20  33 

20  19 

10 

20 

20  37 

20  26 

20  15 

20  04 

19  52 

19  41 

19  29 

19  18 

19  06 

18  54 

18  41 

18  30 

20 

30 

18  34 

18  25 

18  14 

18  04 

17  54 

17  43 

17  32 

17  23 

17  II 

17  01 

16  50 

16  38 

30 

40 

16  31 

16  21 

16  13 

16  04 

15  54 

15  45 

15  36 

15  27 

15  17 

15  08 

1458 

14  48 

40 

SO 

14  27 

14  20 

14  12 

14  04 

13  56 

13  47 

13  39 

13  31 

13  23 

13  14 

13  06 

12  57 

SO 

11 

OO 

12  23 

12  17 

12  10 

12  03 

II  56 

II  50 

II  43 

II  35 

II  28 

II  21 

n  13 

II  06 

11     00 

lO 

10  20 

10  14 

10  09 

10  03 

958 

9  52 

9  46 

9  40 

9  34 

9  28 

9  22 

9  16 

10 

20 

8  16 

8  12 

8  07 

8  02 

758 

7  53 

748 

7  44 

7  39 

7  35 

7  30 

7  25 

20 

30 

6  12 

6  09 

6  06 

6  01 

558 

5  55 

5  52 

5  48 

5  44 

5  40 

5  37 

5  34 

30 

40 

4  08 

4  06 

4  04 

4  02 

3  59 

3  57 

3  54 

3  52 

3  50 

3  47 

3  45 

3  42 

40 
SO 

SO 

2  04 

2  03 

2  02 

2  01 

2  00 

I  58 

I  58 

I  56 

I  55 

I  53 

I  52 

I  51 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  Ea.st  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
■when  the  .star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


271 


AZIMUTH   OR  TRUE  BEARING. 


I.ATITU1JE  66°. 


DECI.INATION— SAME  NAME  AS— I.ATITUDE. 


IiATITUDE:  66°. 


Hour  Angle. 


48° 


49° 


51° 


li. 
O 


lO 


11 


12 


m. 
OO 
lO 

ao 

30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


80  00 

74  35 
69  14 
6358 
5848 

53  49 

49  00 

44  22 
39  56 
35  43 
31  40 
27  50 

24  10 
20  41 
17  21 
14  09 
II  05 
08  II 

05  21 
02  39 
00  02 
97  30 
95  02 
92  39 

90  20 
88  04 
85  51 
83  42 

81  34 
79  30 

77  26 

75  24 
73  26 
71  27 
69  31 
67  36 

65  41 
63  47 
61  56 
60  03 
58  12 
56  22 

54  32 
52  41 

50  52 
49  04 
47  15 

45  26 


4338 

41  49 

40  01 

38  13 

3^  24 

34  36 

3248 

30  58 

29  10 

27  21 

25  32 

23  44 

21  55 

20  05 

18  17 

16  27 

1438 

12  48 

10  59 

9  09 

7  19 

5  30 

3  40 

I  50 

0  00 

180  00 

174  24 
168  51 
163  24 
158  05 
15258 

148  02 

143  17 
13848 
134  30 
130  26 

126  34 

122  53 
119  24 
116  03 
112  52 
109  50 
106  56 

104  09 
loi  27 

98  51 
96  20 
93  55 
91  34 

89  16 
87  01 
84  50 
8243 
80  37 

7833 

76  31 
74  32 
72  34 
7038 
6843 
66  49 

64  56 
63  03 
61  13 
59  22 
57  32 
55  43 

53  54 
52  05 
50  17  • 
48  30  ( 
46  42  I 
44  55  ; 
I 
43  07  I 
41  20  I 

39  33  , 
37  47 
35  59 
34  12 

32  24 

30  37 
28  50 
27  02 

25  14 
23  27 

21  40 
19  52 
18  03 
16  16 
14  28 
12  39 

10  51 
9  03 
7  15 
526 
3  37 
I  49 
o  00 


180  00  ! 

174 "  ; 
168  26  ; 
162  46  ' 
157  18  ! 
152  01  j 

146  57 
142  08 

137  33  i 
133  12  5 
129  05 
125 12 

121 31 
118  01 
114  42 
III  32 
108  30 
105  37 

102  51 
100  II 
9738 
95  08 
92  44 
90  25 

88  10 

8557 
8347 
81  41 
79  37 
77  36 

75  36 
73  37 
71  41 
69  46 
67  53 
66  01 

64  09 

62  18 
60  29 
58  39 
56  51 
55  03 

53  16 
51  28 
49  41 
47  55 
46  09 
44  23 

42  36 
40  51 
39  05 
37  19 
35  34 
3348 

32  01 
30  15 
28  30 
26  44 
24  57 
23  II 

21  25 
1938 
17  51 
16  05 
14  17 
12  30 

10  43 
8  56 
7  09 
5  22 
3  34 
I  47 
o  00 


52° 


53° 


64° 


55° 


180  00 

173  55 
167  56 
162  05 
156  24 
150  57 

145  45 
140  51 
136  10 
131  46 
127  36 
123  43 

120  00 
116  32 

113  13 
no  05 
107  05 
104  14 

loi  30 

9851 

96  20 
93  53 
9I  31 
89  14 

87  00 
84  48 
82  42 
80  37 
7835 
76  35 

74  37 
72  40 
70  46 

6853 
67  00 
65  10 

63  20 
61  31 
59  43 
57  55 
5608 
54  21 

52  35 
50  50 
49  04 
47  20 
45  35 
43  50 

42  04 
40  20 
38  36 
36  51 
35  07 
33  22 

31  37 
29  53 
28  08 
26  23 
2438 
22  53 

21  08 
19  23 
17  37 
15  52 
14  06 
12  21 

10  35 
849 
704 
5  17 
3  32 
I  46 
o  00 


80  00 

73  39 

67  23 

61  17 
55  24 

49  46 

44  26 
39  24 
34  40 

30  12 
26  02 
22  07 

1825 
14  56 
II  39 
08  33 
05  35 
02  45 

100  03 
97  28 
94  58 
92  34 
90  15 
8759 

8547 
8338 

81  34 
79  31 
77  30 
75  33 

73  36 
71  42 
69  49 
67  58 
6b  07 
64  18 

62  30 
60  43 
5856 
57  II 
55  25 
53  39 

51  55 

50  II 
48  26 
46  43 
44  59 
43  16 

41  33 
39  50 
3806 
36  23 
34  40 
32  57 

31  13 
29  29 

27  46 
26  04 

24  19 
22  36 

20  52 
19  08 
17  24 
15  40 
13  55 
12  II 

ID  27 
843 
658 

5  13 
3  29 
I  45 

O  CO 


180  00  I 

173  20  i 
166  46  , 
160  23 
154  15 
148  26 

142  56 

137  47 
132  58 
128  29 
124  17 
120  22 

n6  41 
113  14 
no  00 
106  54 

103  59 
lor  12 

98  33 
96  00 
93  33 
91  II 

8854 
86  40 

8431 
82  26 
80  23 
78  23 
76  24 
74  28 

72  34 
7042 
68  50 
67  01 
65  13 
63  25 

61  38 

59  53 
58  08 

50  23 
54  39 
52  56 

51  13 
49  30 
47  48 
46  06 
44  23 
42  42 

40  59 
3918 
37  36 
35  55 
34  12 
32  30 

30  49 
29  06 
27  25 
25  43 
24  00 
22  18 

20  35 
1852 
17  II 
15  28 

13  45 
12  02 

10  19 
836 
6  53 
5  09 
3  26 
1  43 
o  00 


180  00 

172  57 
166  01 
159  20 
152  56 
146  54 

141  16 
136  00 
131  07 
126  35 
122  23 
118  28 

114  49  I 
III  25  I 
108  12 
105  09  i 
102  17  , 
99  34 

96  57  ! 
94  26  i 
92  03  ; 

89  44  ; 

87  30  ! 
85  19  j 

83  13  j 
81  09 
79  09 
77  10 
75  15  ! 
73  22 

69  39 
67  50 
66  02 
64  16 
62  30 

60  45 
59  01 
57  19 
55  35 
53  53 
52  II 

50  30 
48  49 
47  08 
45  27 
4346 
42  06 

40  26 
3846 
37  05 
35  25 
33  44 
32  04 

30  23 
28  43 
27  02 
25  22 
23  40 
21  59 

20  18 
1838 
16  56 
15  15 
13  34 
II  51 

10  II 
8  29 
6  47 
5  05 
3  23 
I  42 
o  00 


180  00 

172  30 
165  II 
158  07 
151  25 
145  10 

139  22 
134  00 
129  04 
124  31 
120  19 
116  25 

112  49 
109  26 
106  17 

103  15 
100  29 

97  49 

95  15 
92  49 
90  28 
88  12 
86  01 
8354 

81  51 
79  50 
77  52 
75  57 
74  04 
72  12 

70  22 
6834 
66  48 
65  02 
63  18 
6.1  34 

'59  51 
5808 
56  28 
54  46 
53  06 
51  26 

4946 
48  06 
46  27 
44  48 
43  09 
41  30 

39  51 
38  12 
36  33 
34  55 
33  15 
31  37 

2958 
28  19 
26  39 
25  00 
23  21 
21  41 

20  01 
18  22 
16  42 
15  02 
13  22 
II  42 

10  02 
8  21 
6  42 
5  01 
3  21 
I  41 
o  00 


56° 


180  00 

171  59 
164  09 
156  40 
149  39 
143  09 

137  II 
131  44 
126  45 
122  12 
118  01 
114  II 

no  37 
107  19 
104  15 
101  18 
9834 
9558 

93  29 
91  06 
8849 
8637 
84  29 
82  25 

80  25 
78  27 
76  32 
74  39 
72  49 
71  01 

69  13 
67  27 
65  43 
63  59 
62  17 
60  35 

58  54 
57  14 
55  35 
53  55 
52  17 
50  39 

49  00 
47  22 
45  44 
44  07 
42  30 

40  53 

39  15 
3738 
36  01 
34  24 
32  45 
31  08 

29  31 
27  53 
26  14 
24  38 
23  00 
21  22 

19  43 
18  05 
16  29 

14  49 
13  10 
II  32 

9  53 
8  15 
6  35 
4  57 
318 
I  39 
o  00 


570 


180  00 
171  20 
162  56 
154  58 
147  34 
140  49 

134  42 
129  09 
124  10 
119  37 
115  30 
III  44 

108  15 
105  00 
102  02 
99  II 
96  31 
94  00 

91  36 
89  17 
87  04 
8456 
8253 
8053 

7856 
77  00 
75  09 
73  19 
71  32 
69  46 

68  02 
66  18 
64  36 
62  55 
61  14 
59  36 

57  56 
56  18 
5441 
53  03 
51  26 
49  50 

48  13 
46  37 
45  02 
43  26 
41  51 
40  15 

3838 
37  03 
3328 

33  51 
32  16 
30  40 

29  04 

27  27 

25  51 
24  16 
22  39 
21  03 

19  26 

17  49 
16  14 

14  36 
12  59 
II  21 

9  44 
8  07 
6  29 
4  52 
3  15 
I  37 
o  00 


58° 


59°       Hour  Ansle. 


180  00 

170  33  ! 
161 25 
152  53 
145  05  i 
138  05  j 

131  49  ; 
126  14  i 
121  15 
116  46 
112  44 
109  03 

105  40 
102  33 
99  41 
96  55 
94  21 
91 55 

89  36 
87  23 
85 14 
83  II 
81 12 
79  15 

77  22 
75  31 
73  43 
71  56 
70  12 

68  S8 

6647 
65  06 

63  27 
61  48 
60  09 
58  33 

5656 
55  20 
53  45 
52  09 
50  34 
49  00 

47  25 
45  51 
44  17 
42  43 
41  C9 
39  35 

3801 
3628 
34  53 
33  19 
31  45 
30  10 

28  36 
27  01 
25  27 
23  52 
22  17 
20  43 

19  08 
17  32 
15  59 
14  22 
12  46 
II  II 

9  35 
7  59 
6  24 

4  47 
3  12 
136 
o  00 


180  00 
169  31 

159  31 
150  18 
142  03 
134  48 

128  28 
122  53 
H758 
113  36 
109  40 
106  07 

102  52 
99  53 
97  08 
94  30 
92  03 
8943 

87  30 
85  22 
83  20 
81  21 
79  25 
77  34 

75  45 
73  57 
72  13 
70  30 

6849 
67  08 

65  30 
63  51 
62  15 
60  38 
59  04 
57  29 

55  55 
54  20 
5248 
51  15 
49  42 
48  09 

46  37 


ll. 
O 


45  04 

43  31 

42  00 

40  27 

3855 

37  23 

35  51 

34  18 

32  46 

;  31  13 

:  2941 

(  28  07 

26  35 

25  02 

23  29 

21  55 

20  22 

18  49 

17  15 

15  44 

14  07 

12  33 

II  OO 

926 

7  52 

617 

4  44 

3  09 

I  34 

0  00 

10 


11 


12 


m. 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
SO 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
•30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  North  latita<le.  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


272 


AZIMUTH    OR    TRUE    BEARING. 


I^ATITUDE:  66°. 

DBCIvINATION— same;  NAME  AS- 

-LATITUDE. 

liATITUDX:  66°« 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

]|. 

m. 

o  ' 

0  / 

0   /T 

0  f 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  / 

li.    ni. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0  00 

0  00 

0  00 

0    00 

10 

167  55 

166  18 

163  33 

159  07 

151  01 

132  49 

88  si 

43  46 

24  53 

16  33 

12  01 

10 

30 

157  01 

153  42 

149  01 

142  04 

130  09 

113  27 

8743 

61  05 

42  03 

30  14 

22  48 

20 

30 

147  02 

142  49 

137  10 

129  28 

118  49 

104  23 

8634 

68  06 

52  16 

40  18 

31  39 

30 

40 

138  20 

133  41 

127  48 

120  17 

no  44 

9858 

85  26 

71  22 

5821 

47  22 

3834 

40 

50 

130  53 

126  09 

120  23 

IJ3  23 

105  00 

95  12 

84  17 

72  58 

62  04 

52  13 

43  49 

SO 

1 

OO 

124  31 

119  53 

114  25 

108  03 

100  37 

92  15 

83  09 

73  41 

64  20 

55  37 

47  45 

1     00 

lO 

119  01 

H4  36 

109  28 

103  38 

97- 05 

89  49 

82  00 

73  53 

65  45 

57  56 

50  41 

10   1 

20 

"4  15 

no  01 

105  17 

99  59 

94  06 

87  41 

80  51 

73  45 

6634 

59  33 

52  52 

20 

30 

no  02 

106  04 

loi  40 

96  49 

91  31 

85  46 

79  42 

73  23 

66  58 

6*36 

54  27 

30 

40 

106  17 

102  34 

98  28 

94  01 

89  11 

84  01 

78  33 

72  52 

67  05 

61  16 

55  35 

40 

50 

102  55 

99  25 

95  36 

91  30 

8705 

82  22 

77  24 

72  14 

6657 

61  39 

56  22 

50 

2 

OO 

99  50 

96  33 

93  00 

89  II 

8507 

8047 

76  15 

71  32 

66  40 

61  47 

56  52 

2     00 

lO 

97  00 

93  55 

9036 

87  02 

83  16 

79  17 

75  05 

70  44 

66  16 

61  44 

57  09 

10 

20 

94  22 

91  28 

88  20 

85  02 

81  31 

77  49 

73  56 

69  54 

65  45 

61  30 

57  14 

20 

30 

91  55 

8909 

86  13 

83  07 

79  50 
78  12 

76  23 

72  46 

69  01 

65  09 

61  II 

57  12 

30 

40 

8934 

8658 

84  12 

81  17 

74  59 

71  36 

68  06 

64  28 

60  46 

56  59 

40 

50 

87  23 

84  55 

82  17 

79  32 

76  39 

73  37 

70  27 

67  09 

63  45 

60  15 

56  42 

50 

3 

OO 

85  16 

82  56 

80  27 

77  5r 

75  07 

72  15 

69  17 

66  II 

62  59 

59  40 

56  18 

3     00 

lO 

83  15 

8r  01 

78  39 

76  12 

73  37 

70  55 

68  06 

65  10 

62  09 
.  61  18 

59  02 

55  50 

10 

20 

8t  17 

79  10 

7656 

74  36 

72  09 

69  35 

66  56 

64  10 

58  20 

55  18 

20  1 

30 

79  24 

77  23 

75  15 

73  02 

70  42 

68  17 

65  45 

63  07. 

60  24 

57  36 

54  43 

30 

40 

77  34 

75  38 

73  37 

71  30 

69  16 

6'5  58 

64  34 

62  05 

59  30 
58  33 

56  50 

54  04 

40 

50 

75  47 

73  56 

71  59 

6958 

67  51 

65  40 

63  23 

61  00 

56  01 

53  23 

50 

4 

OO 

74  03 

72  16 

70  24 

68  29 

66  28 

64  22 

62  12 

5956 

57  36 

55  10 

52  40 

4     00 

lO 

72  19 

70  37 

68  50 

67  00 

65  05 

63  04 

61  00 

58  50 

56  35 

54  17 

51  53 

10 

20 

7039 

69  00 

67  18 

65  33 

63  42 

61  48 

5948 

57  44 

55  35 

53  24 

51  06 

20 

30 

6859 

67  26 

65  48 

64  06 

62  20 

60  30 

5836 

56  37 

54  35 

52  27 

50  16 

30 

40 

67  21 

v5  51 

62  48 

62  40 

60  59 

59  13 

57  24 

55  31 

53  33 

51  31 

49  24 

40 

50 

65  44 

64  18 

61  14 

59  37 

57  57 

56  II 

54  22 

52  30 

50  33 

48  32 

50 

6 

OO 

64  09 

62  46 

61  18 

59  49 

58  15 

56  39 

54  58 

53  14 

51  26 

49  34 

47  37 

5     00 

lO 

62  35 

61  14 

59  50 

58  24 

56  55 

55  22 

53  45 

52  05 

50  21 

48  34 

46  43 

10 

20 

61  00 

59  43 
58  13 

58  22 

57  00 

55  33 

54  04 

52  32 

50  55 

49  16 

47  33 

45  46 

20  ! 

30 

59  26 

56  55 

55  36 

54  13 

52  47 

51  18 

49  45 

48  10 

46  31 

44  48 

30  i 

40 
60 

57  54 

56  42 

55  28 

54  12 

52  52 

51  30 

50  04 

48  35 

47  04 

45  29 

43  49 

40 

56  22 

55  13 

54  01 

52  48 

■51  31 

50  13 

48  50 

47  24 

45  57 

44  25 

42  50 

50 

6 

OO 

54  50 

53  44 

52  35 

51  24 

50  10 

48  54 

47  35 

46  13 

44  49 

43  21 

41  50 

6     00  ' 

lO 

53  19 

52  15 

51  08 

50  00 

48  49 

47  36 

46  20 

45  02 

43  40 

42  16 

40  48 

10 

20 

51  48 

5046 

4942 

4837 

47  29 

46  19 

45  05 

43  50 

42  31 

41  II 

39  46 

20 

30 

50  16 

49  18 

48  16 

47  13 

46  07 

45  00 

45  50 

42  37 

41  22 

40  04 

38  43 

30 

40 

48  46 

47  49 

46  50 

45  49 

44  46 

43  42 

42  34 

41  24 

40  12 

38  57 

37  39 

40 

50 

47  15 

46  21 

45  24 

44  26 

43  25 

42  23 

41  18 

40  12 

39  02 

37  50 

36  35 

50 

7 

OO 
lO 

45  45 

44  52 

4358 

43  02 

42  04 

41  04 

40  02 

38  57 

37  51 

36  42 

35  30 

7     00 

44  15 

43  24 

42  31 

41  38 

40  42 

39  45 

38  45 

37  43 

3639 

35  34 

34  25 

10 

20 

42  44 

41  56 

41  05 

40  14 

39  20 

38  26 

37  28 

36  29 

35  28 

34  24 

33  18 

20 

30 
40 
50 

41  14 

40  27 

39  39 

3850 

37  59 

37  05 

36  II 

35  15 

34  15 

33  15 

32  11 

30 

39  44 

3859 

38  13 

37  26 

36  37 

35  46 

34  54 

33  59 

33  03 

32  05 

31  04 

40 

38  13 

37  31 

3646 

36  02 

35  14 

34  26 

33  36 

32  44 

31  51 

30  55 

29  57 

50 

8 

OO 

36  43 

36  02 

35  20 

34  37 

33  51 

33  06 

32  18 

31  28 

30  36 

29  44 

28  48 

8     00 

lO 

35  12 

34  33 

33  53 

33  12 

32  29 

31  45 

30  59 

30  12 

29  23 

28  33 

27  40 

10 

20 

33  42 

33  05 

32  26 

31  47 

31  c6 

30  25 

29  41 

28  56 

28  09 

27  22 

26  31 

20 

30 
40 
50 

32  II 

31  36 

30  59 

30  22 

29  43 
28  19 

29  03 

28  22 

27  39 

26  55 

26  09 

'      25  21 

30 

30  41 

30  07 

29  32 

2856 

27  42 

27  03 

26.22 

25  41 

24  57 

24  12 

40 

29  09 

28  38 

28  04 

27  31 

2656 

26  21 

25  43 

25  05 

24  25 

23  45 

23  01 

50 

9 

OO 

2738 

27  08 

26  37 

26  06 

25  32 

2458 

24  23 

23  47 

23  09 

22  32 

21  50 

9     00 

10 

26  07 

25  39 

25  09 

24  39 

24  08 

23  36 

23  04 

22  30 

21  54 

21  18 

20  39 

10 

20 
30 

24  36 

24  09 

23  42 

23  14 

22  45 

22  14 

21  44 

21  12 

20  38 

20  04 

19  28 

20 

23  05 

22  39 

22  14 

21  47 

21  20 

20  53 

20  23 

19  53 

19  22 

18  50 

18  17 

30 

40 

21  33 

21  09 

20  45 

2U  21 

1956 

19  30 

19  03 

18  34 

18  06 

17  36 

17  05 

40 

60 

20  00 

19  39 

19  17 

1855 

18  31 

18  07 

17  42 

17  16 

16  49 

16  21 

15  53 

50 

lo 

OO 

30 
40 

18  29 

18  09 

17  48 

17  28 

17  06 

16  44 

16  21 

15  57 

15  33 

15  07 

14  41 

10     00 

16  57 

16  39 

16  20 

16  01 

15  41 

15  21 

15  00 

14  38 

14  15 

13  52 

1328 

10 

• 

15  26 

11^ 

14  52 

14  35 

14  16 

1358 

13  39 

•  13  18 

12  58 

12  38 

12  15 

20 

13  53 

13  22 

13  08 

12  51 

12  35 

12  17 

II  59 

II  42 

II  22 

II  02 

30 

12  21 

12  07 

11  53 

II  40 

II  25 

II  II 

10  55 

10  40 

10  24 

10  06 

9  50 

40 

50 

10  48 

10  37 

10  25 

10  13 

10  00 

9  47 

9  34 

9  20 

9  05 

851 

§36 

50 

11 

OO 

9  16 

9  06 

8  56 

8  46 

835 

8  24 

8  12 

8  00 

7  48 

7  35 

7  22 

11     00 

lO 

7  43 

7  35 

7  27 

7  18 

7  09 

7  00 

6  50 

6  41 

6  30 

6  20 

6  09 

10 

20 

6  II 

6  04 

5  57 

5  50 

5  43 

536 

528 

5  20. 

5  12 

5  04 

4  55 

20 

30 
40 

4  38 

4  33 

4  28 

4  23 

4  17 

4  12 

4  06 

4  00 

3  54 

3  48 

3  41 

30 

3  05 

3  02 

2  59 

2  55 

2  51 

2  48 

2  44 

2  41 

236 

2  32 

2  28 

40 

50 

I  33 

I  31 

I  29 

I  28 

I  26 

I  24 

I  22 

I  20 

I  18 

I  16 

I  14 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabnlated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  difTerent  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


273 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  67= 


DECI.INATION— SAME  NAME  AS— t,ATITUDE 


LATITUSB:  67°. 


Hour  Angle. 


34° 


O 


lO 


II 


12 


lU. 

OO 
10 
20 
30 
40 
SO 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
10 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


25° 


26= 


iSo  OO 
176  39 
173  19 
169  59 
166  40 
163  22 

160  06 
156  52 
153  40 
150  30 
147  22 
144  18 

141  16 
138  16 
135  20 
132  27 
129  34 
126  46 

124  00 
121  17 
118  36 

115  58 
113  23 
no  49 

108  18 
105  48 
103  21 
100  56 
98  32 
96  10 

93  4S 
91  29 
89  u 
8653 
8437 
82  23 

80  07 
77  53 
75  41 
73  28 
71  16 
69  04 

66  54 

•  64  42  I 

62  31  ; 
60  21  I 
58  09  i 

55  58  ' 
I 
53  47 
51  35 
49  25 
47  13 
45  01 
42  49 

40  36 
38  24 
36  10 
33  57 
31  44 
29  29 

27-  15 
24  59 
22  45 
20  29 
18  13 
15  57 

>3  41 
'  II  24 
9  08 
651 
4  34 
2  17 
o  00 


80  00 

76  37 
73  15 

69  53 
66  31 

63  II 

59  54 

56  37 
53  24 

50  12 
47  02 

43  57 

40  53 
37  53 
3+  55 

32  00 
29  07 

26  18 

23  32 
20  48 
18  07 
15  29 

12  53 

10  19 

07  48 

05  19 
02  51 
00  26 
98  02 
95  40 

93  20 
91  00 
88  42 
86  25 
84  09 

81  35 

79  40 

77  27 
75  15 
73  02 

70  51 
6839 

66  29 

64  18 
62  07 
59  57 

57  46 
55.37 

53  26 

51  15 
49  05 
46  54 

44  43 
42  31 

40  19 
3808 
35  55 

33  43 
31  30 

20  16  ! 

I 

27  03  i 

24  49  ! 
22  35 
20  20 
18  05 
15  50 

13  35 

11  19  I 
9  04  i 
6  48 
4  32  I 
2  16  I 
o  00  I 


80  00 

76  35 

73  10 

69  46 
66  21 
63  00 

59  41 

56  22 

53  07 

49  53 
4642 

43  35 

40  30 
37  28 

34  30 
31  33 
28  40 

25  50 

23  04 
20  19 
1738 

14  59 

12  23 
09  49 

07  18 
04  48 
02  21 
99  55 
97  32 
95  10 

92  50  1 
90  31  I 
88  13  I 
8556  : 
83  40 

81  26 

79  13 

77  00 

74  48 
72  36 

70  25 
68  14 

66  04 
63  53 
61  43 
59-33 

57  23 
55  15 

53  05 

50  55 
48  45 
46  34 

44  24 
42  13 

40  02 
37  52 

35  40 
33  28 
31  16 
2903 

26  51 

24  38 
22  25 
20  II 

17  57 

15  43 

13  29 
II  14 

9  CO 
6  45 
4  30 
2  15 
o  00 


27° 

28° 

0  / 

0  / 

80  00 

180  00 

76  33 

176  30 

73  05 

173  00 

69  38 

169  31 

66  12 

166  02 

62  48 

162  36 

59  27 

159  12 

56  06 

155  50 

52  49 

152  31 

49  34 

149  14 

46  22 

146  00 

43  13 

142  49 

40  06 

139  41 

37  03 

136  37 

34  04 

133  36 

31  06 

130  38 

28  13 

127  44 

25  22 

124  53 

122  35 

122  05 

[19  50 

119  19 

117  08 

116  37 

ti4  28 

113  57 

II  53 

III  21 

[09  18 

108  46 

[06  47 

106  15 

[04  17 

103  45 

01  51 

loi  19 

99  24 

9853 

97  02 

96  31 

94  40 

94  09 

92  19 

91  49 

90  01 

89  30 

87  43 

87  12 

85  27 

8457 

83  11 

82  42 

8058 

80  29 

784.5 

78  16 

76  32 

76  03 

74  21 

73  53 

72  10 

71  42 

69  59 

69  32 

67  49 

67  23 

65  39 

65  13 

63  29 

63  04 

61  19 

60  55 

59  10 

5846 

57  00 

56  37 

54  53 

54  30 

52  43 

52  21 

50  34 

50  13 

48  25 

48  05 

46  15 

45  56 

44  06 

43  47 

41  55 

41  37 

39  45 

39  28 

37  36 

37  19 

35  25 

35  09 

33  14 

32  59 

31  02 

30  48 

28  51 

28  38 

26  39 

•26  27 

24  27 

24  16 

22  15 

22  05 

20  02 

19  53 

17  49 

17  41 

15  3*5 

15  29 

13  23 

13  16 

II  09 

II  04 

8  56 

852 

6  42 

6  39 

4  28 

4  26 

2  14 

2  13 

0  00 

0  00 

80  00 

76  27 

72  54 
69  23 
65  52 
62  24 

5S  57 

55  33 
52  12 
4853 
45  37 

42  25 

39  15 

36  10 

33  oS 
30  09 

27  14 
24  22 

21  33 
1847 

16  06 

13  25 
10  49 
08  14 

05  42 
03  13 
00  46 
98  21 
95  59 
93  37 

91  17 
88  58 
86  41 
84  26 
82  12 
79  59 

77  47 
75  34 

73  25 
71  14 
69  05 
6656 

64  47 
62  38 
60  30 
58  23 

56  14 
54  07 

51  59 
49  52 
47  45 
45  36 

43  28 
41  19 

39  " 

37  02" 

34  54 
32  44 
30  35 

28  25 

26  15 
24  05 
21  55 
19  44 

17  33 
15  22 

13  10 
10  59 
847 
636 
4  24 


30° 


31° 


33° 


80  00 

76  24  I 
7248 

69  14 

65  42  - 
62  II 

58  42 
55  15 
51  52 

48  31 
45  13 

42  00 

38  49 

35  42 
32  39 

29  39 
26  43 

23  51 

21   01 

18  15 

15  33 

12  52 
10  16 
07  41 

05  09 
02  40 
00  13 
97  49 
95  26 
93  05 

90  45 
88  27 
86  II 
8356 

81  41 
79  29 

77  17 
75  05 
72  57 

70  46 
6838 

66  29 

64  21 
62  13 
60  05 
57  59 
55  51 
53  44 

51  37 

49  31 
47  24 
45  16 

43  09 
41  01 

38  54 

36  46 
3438 
32  30 

30  21 
28  13 

26  04 
23  54 
21  45 

19  35 
17  25 
15  15 

13  04 
10  54 

843 
6  33 
4  22 


80  00 
76  21 
72  43 

69  06 

65  31 
61  58 

58  26 

54  56 
51  31 

48  oS 

44  49 

41  34 

38  22 

35  14 
32  09 

29  c^ 

26  II 
23  19 

20  29 
17  42 

14  58 

13  19 

09  42 
07  07 

04  36 
02  06 

99  40 
97  15 
94  52 
92  32 

90  13 
87  55 
85  39 
83  25 

81  10 
7859 

76  47 
74  36 
72  28 

70  18 
68  10 

66  02 

63  55 
61  47 

59  40 
57  34 

55  27 
53  21 

51  15 

49  09 

47  03 
44  56 

42  49 
40  43 

3836 

36  29 
34  22 
32  15 

30  07 

27  59 

25  52 
23  43 

21  35 
19  26 
17  17 

15  «8 

12  58 

10  49 

839 
6  29 

4  20 


80  00 

76  18 

72  37 
6857 
65  19 
61  43 

5809 
54  37 
51  09 
47  44 
44  24 
41  07 

37  53 
34  44 
31  38 
2836 
25  38 
22  45 

19  55 
17  07 
14  24 
II  44 
09  07 
06  32 

04  01 
01  31 
99  05 
96  40 
94  18 
91  58 

89  39 
87  22 
85  06 
82  53 
80  39 


76  17 
74  07 
71  59 
69  50 
67  42 

65  34 

63  28 
61  21 
59  15 
57  09 
55  03 
5258 

50  52 
48  47 
46  42 
44  36 
42  30 
40  25 

38  18 
36  12 

34  06 
32  00 
29  53 
27  46 

25  39 

#3  32 
-I  24 
19  17 
17  09 
15  01  • 

12  52 
1043 
835 
6  26 

4  17 
2  09 
o  00 


180  00 
176  15 
172  31 
168  48 
165  07 
161  27 

157  50 
154  16 
150  47 
147  19 
143  57 
140  38 

137  23 
134  12 
131  05 
128  03 
125  04 
122  10 

119  19 
116  32 
113  48 
III  07 
loS  30 
105  56 

103  25 
100  55 
98  29 
96  04 
93  43 
91  23 

89  04 
86  48 
84  33 
82  20 
80  07 
77  56 

75  46 
73  36 
71  29 
69  20 
67  13 
65  06 

63  00 
60  54 
58  49 
56  44 
54  39 
52  35 

50  29 
48  25 
46  21 
44  16 
42  10 
40  06 

38  00 
35  55 
33  50 
31  45 
29  39 
27  33 

25  27 
23  21 
21  13 
19  08 
17  00 
14  54 

12  46 
1038 

831 
6  23 

4  15 
2  08 
o  00 


34^ 


Hour  Angle* 


So  00 

76  12 

72  24 
68  38 
64  53 

61  II 

57  31 

53  55 
50  22 
46  53 
4328 

40  08 

36  51 
33  39 

30  32 
27  28 

24  29 
21  34 

1843 

15  55 

13  II 
10  30 
07  53 
05  18 

02  48 
00  19 
97  52 
95  28 
93  07 
9047 

88  29 

86  13  1 

8359  I 
Si  46 
79  34  I 

77  23  j 

75  14  I 

73  05 
7058 
68  50 
66  44 
64  38  i 

i 

62  32  I 
60  27  i 
5823  , 
56  19  I 

54  15 
52  II 

50  06 
48  03 
46  00 
43  55 

41  51 
39  47 

37  42 
3538 
33  34 

31  29 

29  25 
27  19 

25  14 
23  09 
21  03 
18  58 

16  51 

14  46 

12  40 
10  33 
8  27 
6  20 

4  13 
2  07 
o  00 


0 

'  i 

180 

00 

176 

09 

172 

17 

168 

27 

164 

39 

160 

54 

157 

II 

153  32  1 

149  57  1 

146 

26 

142  59 

139  37 

136 

18 

133  05  1 

129 

57 

126 

52 

123  52  1 

120 

57 

118 

05 

115 

17 

112 

32 

109  52  1 

107 

14 

10440  1 

102 

10 

99  42  1 

97 

15 

94  51 

92  30 

90 

" 

87  54 

8538 

83 

25 

81 

12 

79 

00 

76 

51 

74  42 

72  34 

70  27 

68 

20 

66 

15 

64 

10 

62 

04 

bo 

00 

57 

56 

55  53  1 

53  49  1 

51 

46 

49  43 

47  41 

45 

38 

43-34  1 

41 

31 

39  27 

37  24 

35 

21 

33 

17 

31 

13 

29 

10 

27  05  1 

25 

02 

22 

57 

20 

53 

18 

48 

16 

42 

14 

3« 

12 

33 

10 

28 

8 

23 

6 

17 

4 

II 

2 

06 

0 

00 

h. 

O 


10 


11 


m. 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
&0 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  >"orth  latitude,  when  the  star  is  I'ising  or  Ea.st  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  -when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


41224°— 16- 


-18 


274 


AZIMUTH  OR  TRUE   BEARING. 


LATITUDE  67°. 

DECUNATION- 

-SAME  NAME  AS— lyATITUDE. 

LATITUDE  67°. 

Hour  Angle. 

3«o 

37° 

38° 

39° 

40° 

410 

42° 

43° 

44° 

45° 

•»6° 

47° 

Hour  Angle. 

li. 

m. 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  > 

0  / 

0  / 

Ii.     m. 

o 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0     00 

10 

176  04 

176  01 

175  57 

175  52 

175  47 

175  42 

175  36 

175  30 

175  24 

175  17 

175  09 

175  01 

10 

ao 

172  10 

172  02 

171  53 

171  44 

171  35 

171  25 

171  14 

171  02 

170  50 

170  36 

170  21 

170  04 

ao 

30 

168  16 

168  05 

167  53 

167  39 

167  25 

167  10 

166  54 

16637 

166  18 

165  58 

165  35 

165  n 

30 

40 

164  25 

164  10 

163  53 

163  36 

163  18 

162  58 

162  37 

162  15 

161  50 

161  23 

160  54 

160  23 

40 

50 

160  36 

160  18 

159  58 

159  37 

159  14 

158  50 

158  24 

157  57 

157  27 

156  55 

156  21 

'■^■^  44 

50 

1 

OO 

156  51 

156  29 

156  06 

155  41 

155  14 

154  47 

154  17 

153  44 

153  10 

152  33 

151  54 

151  10 

1    00 

lO 

153  10 

152  45 

152  18 

151  50 

151  20 

150  49 

150  14 

149  38 

149  00 

148  19 

147  34 

146  46 

10 

ao 

149  31 

149  04 

148  35 

148  04 

147  30 

146  55 

146  19 

145  40 

144  58 

144  12 

143  24 

142  32 

20 

30 

145  57 

145  28 

144  55 

144  22 

143  47 

143  09 

142  29 

141  48 

141  02 

140  13 

139  21 

138  25 

30 

40 

142  29 

141  57 

141  22 

140  47 

140  09 

139  29 

138  47 

138  02 

137  14 

136  23 

135  28 

134  30 

40 

50 

139  05 

138  31 

137  55 

137  17 

13638 

135  56 

135  II 

134  24 

133  34 

132  40 

131  44 

130  44 

50 

a 

OO 

135  45 

135  09 

134  32 

■33  53 

133  II 

132  27 

131  41 

130  53 

130  01 

129  06 

128  08 

127  06 

2     00 

lO 

132  31 

131  53 

131  14 

130  34 

129  51 

129  07 

128  19 

127  29 

126  37 

125  40 

124  41 

123  38 

10 

20 

129  21 

128  43 

128  03 

127  20 

126  37 

125  52 

125  02 

124  11 

123  18 

122  21 

121  21 

120  17 

20 

30 

126  15 

125  36 

J  24  55 

124  12 

123  27 

122  41 

121  52 

121  OI 

120  07 

119  09 

118  08 

117  05 

30 

40 

123  15 

122  35 

121  53 

121  09 

120  24 

"9  37 

118  47 

117  56 

117  02 

116  04 

"5  03 

114  00 

40 

50 

120  18 

119  38 

118  56 

118  12 

117  27 

116  39 

"5  49 

114  57 

114  02 

"3  05 

112  OS 

in  02 

SO 

3 

OO 

117  27 

J16  46 

116  03 

115  19 

"4  33 

113  45 

112  56 

112  04 

III  10 

no  12 

109  12 

108  09 

3     00 

lO 

114  38 

113  57 

113  14 

112  30 

III  44 

no  57 

no  07 

109  15 

108  21 

107  24 

106  25 

105  24 

10 

30 

III  53 

III  12 

no  30 

109  46 

109  00 

108  13 

107  23 

106  32 

105  38 

104  41 

103  43 

102  43 

20 

30 

109  12 

108  32 

107  49 

107  06 

106  20 

105  33 

104  44 

103  52 

102  59 

102  04 

Id  06 

100  06 

30 

40 

106  35 

105  54 

105  12 

104  28 

103  43 

102  56 

102  08 

loi  18 

100  25 

99  30 

98  34 

97  35 

40  i 

SO 

104  02 

103  21 

102  39 

loi  56 

lOI  II 

100  24 

99  36 

98  46 

97  55 

97  OI 

96  05 

95  07 

50^ 

4 

OO 

loi  31 

100  51 

100  09 

9926 

98  42 

97  56 

97  09 

96  20 

95  29 

94  35 

93  40 

S2  44 

4     00  1 

10 

9903 

9823 

97  41 

9658 

96  14 

95  29 

94  42 

93  54 

93  05 

92  13 

91  19 

90  23 

10  ! 

;30 

9638 

95  58 

95  17 

94  35 

93  51 

93  06 

92  20 

91  33 

90  44 

89  53 

89  01 

88  06 

20 

30 

94  14 

93  35 

92  55 

92  14 

91-31 

9046 

90  01 

89  15 

88  27 

87  37 

86  46 

8553 

30 

40 

91  54 

91  15 

rs?s 

■8954 

89  12 

88  29 

87  44 

8659 

86  12 

85  23 

84  33 

83  41 

40 

50 

8935 

8857 

8738 

8657 

86  14 

85  31 

84  46 

84  00 

83  12 

82  23 

81  31 

SO 

5 

OO 

87  18 

86  40 

86  02 

85  23 

84  42 

84  00 

83  17 

82  33 

81  48 

81  01 

80  14 

79  24 

5     00 

lO 

8503 

84  26 

8348 

8309 

82  30 

81  49 

81  06 

80  23 

79  39 

78  54 

78  08 

77  19 

10 

20 

82  50 

82  13 

81  36 

8058 

80  19 

79  39 

7858 

78  16 

77  33 

76  48 

76  02 

75  15 

ao 

30 

8038 

80  02 

79  26 

78  48 

78  10 

77  31 

76  50 

76  09 

75  27 

74  44 

74  00 

73  14 

30 

40 

78  27 

77  52 

77  16 

76  40 

76  02 

75  24 

74  45 

74  05 

73  24 

72  41 

71  58 

71  13 

40 

50 

76  17 

75  44 

75  09 

74  33 

73  57 

73  19 

72  40 

72  01 

71  22 

70  40 

6958 

69  14 

so 

6 

OO 

7408 

73  35 

73  02 

72  27 

71  51 

71  15 

70  37 

69  59 

69  20 

6839 

6758 

67  16 

6     00 

lO 

72  01 

71  29 

70  56 

70  22 

6946 

69  10 

6834 

67  57 

67  19 

66  40 

66  00 

65  19 

10  ; 

20 

6956 

69  24 

6851 

68  17 

67  43 

67  09 

6634 

6558 

65  20 

64  42 

64  03 

63  23 

ao 

30 

67  50 

67  18 

66  46 

66  14 

65  41 

65  07 

64  33 

63  57 

63  21 

62  45 

62  07 

61  28 

30 

40 

65  45 

65  14 

64  43 

64  II 

63  39 

63  06 

62  33 

61  58 

61  23 

60  48 

60  II 

59  34 

40 

50 

63  41 

63  II 

62  41 

62  10 

61  38 

61  06 

60  33 

60  00 

59  26 

5851 

58  15 

57  39 

so 

7 

OO 

61  36 

61  07 

6038 

60  09 

5938 

59  06 

5834 

58  02 

57  30 

5656 

56  22 

55  46 

7     00 

10 

59  33 

59  05 

5836 

5807 

57  37 

57  07 

5636 

56  05 

55  33 

55  00 

54  27 

53  53 

10 

20 

57  30 

57  02 

56  34 

56  06 

55  38 

55  08 

54  38 

54  08 

53  38 

53  06 

52  34 

52  01 

ao 

30 

55  27 

55  00 

54  33 

54  06 

53  39 

53  10 

52  41 

52  12 

51  42 

51  12 

50  41 

5009 

30  : 

40 

53  25 

52  59 

52  33 

52  07 

51  40 

51  12 

50  44 

50  16 

49  47 

49"  17 

48  47 

48  17 

40  i 

50 

51  23 

50  58 

50  32 

50  06 

49  40 

49  14 

48  48 

48  21 

47  53 

47  24 

46  55 

46  26 

so  1 

8 

OO 

49  20 

4856 

48  31 

48  06 

47  41 

47  16 

46  50 

46  24 

45  57 

45  30 

45  02 

44  34 

8     00 

10 

47  18 

46  55 

46  31 

46  07 

45  43 

45  19 

44  54 

44  29 

44  03 

43  37 

43  10 

42  43 

10 

20 

45  16 

44  54 

44  31 

44  08 

43  45 

43  21 

42  57 

42  33 

42  09 

41  44 

41  i3 

40  52 

20 

30 

43  13 

42  52 

i2   30 

42  08 

41  46 

41  23 

41  00 

40  37 

40  14 

39  50 

39  26 

39  01 

30 

40 

41  II 

40  51 

40  30 

40  09 

39  47 

39  26 

39  05 

38  42 

38  19 

37  56 

37  33 

37  09 

40 

50 

39  09 

3850 

38  30 

38  10 

37  50 

37  29 

3708 

36  47 

36  25 

36  03 

35  41 

35  19 

so 

9 

OO 

37  06 

3648 

36  29 

36  10 

35  51 

35  31 

35  II 

34  51 

34  31 

34  10 

33  49 

33  27 

9     00 

10 

35  04 

34  46 

34  28 

34  10 

33  52 

33  34 

33  15 

32  56 

32  37 

32  17 

31  57 

31  37 

10 

20 

33  02 

32  45 

32  28 

32  II 

31  54 

31  36 

31  18 

31  00 

30  4? 

30  24 

30  05 

29  45 

ao 

30 

30  59 

30  43 

30  27 

30  II 

29  54 

2938 

29  22 

29  05. 

28  48 

28  31 

28  13 

27  55 

30 

40 

2855 

28  40 

2825 

28  10 

27  55 

27  40 

27  25 

27  09 

26  53 

26  37 

26  21 

26  03 

40 

50 

26  53 

26  39 

26  25 

26  II 

25  57 

25  42 

25  28 

25  13 

24  59 

24  44 

24  28 

24  12 

so 

lO 

OO 

24  50 

24  37 

24  23 

24  10 

23  57 

23  44 

23  31 

23  17 

23  03 

22  49 

22  35 

22  21 

10   00 

IS 

22  46 

22  34 

22  22 

22  10 

21  58 

21  46 

21  34 

21  21 

21  08 

20  55 

20  42 

20  29 

10 

20 

20  42 

20  32 

20  21 

20  ift 

19  59 

1948 

19  36 

19  25 

19  14 

19  02 

18  50 

18  38 

ao 

30 

1839 

18  29 

18  19 

18  09 

17  59 

17  49 

17  39 

17  29 

17  19 

17  08 

16  57 

16  46 

30 

40 

16  35 

16  26 

16  17 

16  08 

16  00 

15  51 

15  42 

15  32 

15  23 

15  14 

15  05 

14  55 

40 

50 

14  30 

14  23 

14  15 

14  08 

14  00 

13  52 

13  44 

13  36 

13  28 

13  20 

13  12 

13  04 

so 

11 

OO 

12  26 

12  26 

12  13 

12  07 

12  CO 

II  54 

II  47 

II  40 

II  33 

II  25 

II  iS 

II  n 

11       00 

lO 

10  23 

10  17 

10  12 

10  06 

10  01 

9  55 

9  49 

9  43 

9  37 

9  31 

9  25 

9  19 

10 

ao 

8  18 

8  14 

8  10 

8  65 

8  00 

756 

7  51 

7  47 

7  42 

738 

7  33 

7  28 

ao 

30 

6  14 

6  II 

6  07 

6  04 

6  00 

5  57 

5  54 

5  50 

5  46 

5  43 

5  39 

536 

30 

40 

4  09 

4  07 

4  05 

4  02 

4  00 

358 

356 

3  53 

3  51 

3  49 

3  47 

3  44 

40 

50 

2  04 

2  03 

2  02 

2  01 

2  00 

I  59 

I  .58 

I  57 

I  56 

I  55 

I  54 

I  53 

50 

12 

1 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

la   00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East ;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising^  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East ;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


275 


AZIMUTH    OR    TRUE    BEARING, 


LiATITUDE   67= 


DECIvINATION— SAME   NAME  AS— LATITUDE. 


LATITUDE  67°. 


Honr  Angle. 


48° 


It. 

O 


lO 


11 


12 


in. 

OO 
lO 
20 


i8o  OO 
174  52 
169  47 
30  t  164  45 
40  !  159  49 
155  02 


490 


50 


00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


150  23 
145  53 
141  35 
137  25 
133  27 
129  39 

126  00 
122  30 
119  10 
11558 
112  53 
109  54 

107  04 
104  18 
loi  38 

99  03 
96  32 

94  07 


91 

45 

89 

25 

»7 

10 

84 

57 

82 

47 

80 

39 

78 

7,?. 

76  29 

74  27 

72 

26 

70 

27 

68 

30 

66 

33 

64 

37 

62 

42 

60 

49 

5855 

57 

02 

55 

10 

53  19 
51  27 
49  36 
47  45 
45  56 

44  05 
42  15 
40  25 
3835 
36  45 
34  56 

33  05 
31  16 
29  26 
27  36 
25  46 
23  56 

22  06 
20  16 
18  26 
1636 
14  45 
12  54 

II  03 
9  13 
7  23 
5  3a 
3  41 
I  51 
o  00 


50° 


180  00 
174  42 
169  26 
164  16 
159  " 
154  17 

149  31 
144  56 
140  32 
136  19 
132  18 
128  29 

124  49 
121  19 
117  58 
114  46 
III  41 
108  44 

105  54 
103  09 
100  31 
97  57 
95  28 
93  04 

90  43 
88  25 
86  II 
8359 
81  51 
79  45 

77  39 
7538 
73  37 
71  37  , 
69  39  i 
67  43 

6548 
63  53 
62  00 
60  C7 
58  15 
56  24 

54  33 
52  43 
50  53 
49  03 
47  13 
45  24 

43  35 
41  47 
3958 
38  09 
36  20 
34  32 

32  43 
30  55 
29  06 

27  17 
25  29 
23  40 

21  51 
20  02 
18  14 
16  25 
14  35 
12  46 

10  56 
9  07 
7  18 
528 

3  39 
I  49 
o  00 


80  00 
74  30 

69  05 
63  43 

58  30 
53  26 

48  34 

43  53 
39  25 
35  09 

31  06 

27  13 

23  32 

20  03 
16  42 

13  29 
10  26 
07  30 

04  41 
01  57 
99  20 
9648 
94  21 
91  58 

8938 
87  22 
85  10 
83  00 
8053 
7848 

76  45 
74  44 
72  45 

70  47 
68  50 
6656 

65  02 

63  08 
61  17 

59  25 
57  34 
55  44 

53  55 
52  06 
50  17 
48  29 
46  41 

44  52 

43  05 
41  18 
39  30 
37  43 
35  55 
3408 

32  20 
30  34 

28  46 
2658 
25  II 
23  24 

21  36 
19  48 
18  01 
16  14 

14  25 
12  37 

10  49 
9  01 
7  13 
5  25 
3  36 
I  48 
o  00 


51°  i  62° 


53° 


80  00 
74  18 

68  40. 

63  07 
57  44 

52  31 

47  32 
42  45 

38  12 
33  53 

29  46 

25  54 

22  XI 

18  40 

15  20 
12  10 

09  07 
06  12 

03  25 
00  42 
98  07 
95  36 
93  II 
90  50 

8832 
86  17 
84  07 

81  58 
79  53 
77  50 

7548 
73  50 
71  52 

69  56 
68  01 
66  07 

64  14 
62  23 
60  33 
5843 
56  53 
55  04 

53  16 
51  28 
49  41 
47  54 
46  07 
44  20 

42  34 
40  48 

39  02 
37  16 
35  30 
33  43 

31  57 

30  12 
28  26 

26  39 

24  53 

23  07 

21  21 

19  34 
1748 

16  02 
14  15 
12  28 

10  41. 
855 
7  07 
5  21 
3  34 
I  46 
o  00 


180  00 

174  04 
168  12 
162  28 
156  52 
151  30 

146  21 
141  29 
136  51 
132  29 
128  20 
124  25 

120  42 
117  12 

"3  53 
no  43 
107  41 
104  49 

102  02 
99  22 
9648 
94  20 
91  57 
8938 

87  23 
85  10 
83  01 
8055 
78  51 
76  50 

74  50 
72  52 
70  56 
69  02 
67  08 
65  17 

63  25 
61  36 
59  47 
57  59 
56  II 
54  24 

52  37 
50  50 
49  04 
47  19 
45  33 
43  48 

42  03 
40  18 
3834 
36  49 
35  04 
33  18 

31  34 
29  50 
2805 
26  19 

24  35 
22  50 

21  05 
19  20 
17  35 
15  50 
14  04 
12  19 

10  33 
8  48 
7  02 
5  17 
3  32 
I  45 
o  00 


180  00 

173  48 
167  40 
161  41 

155  53 
150  21 


54° 


180  00 

173  29 
167  04 
i6o  48 
154  47 
149  03 


145  04  ;  143  38 
140  05  I  138  31 


135  22 
130  56 
126  45 
122  50 

119  08 
11538 
112  19 
109  II 
106  II 
103  21 

100  36 
97  59 
95  28 
93  01 
90  39 


86  09 
8359 
81  52 
7948 
7746 
75  47 

73  49 
71  54 
70  00 
68  07 
66  16 
64  25 

62  36 

60  47 
59  00 
57  13 
55  26 
53  41 

51  56 
50  II 
48  26 
46  42 
44  58 
43  14 

41  31 
39  47 
38  04 
36  20 
34  37 
32  53 

31  09 

29  27 

27  43 
25  59 
24  16 
22  33 

20  49 

19  05 
17  21 
15  38 
13  53 

12  ID 

10  25 
8  41 

657 

5  13 
3  29 
I  44 
o  00 


133  44 
129  15 
125  04 
121  07 

117  25 

"3  57 
no  40 
107  33 
104  36 
loi  47 

99  06 
96  30 
94  02 
91  38 
89  19 
87  04 

84  54 
82  45 
80  41 
7838 
76  40 
74  42 

72  46 
70  52 
69  00 
67  09 
65  20 
63  31 

61  44 
59  57 
58  12 
5626 
54  41 
52  57 

51  13 
49  30 
47  47 
46  04 
44  22 
42  40 

40  57 
39  15 
37  33 
35  51 
34  09 
32  27 

30  44 
29  03 
27  21 

25  39 
23  57 
22  15 

20  33 
18  50 
17  07 
15  25 
13  42 
12  00 

10  17 
83.^ 
652 
5  09 
3  26 
I  42 
o  00 


65° 

56° 

0  / 

0  / 

180  00 

180  00 

173  07 

172  42 

166  21 

165  32 

159  47 

15837 

153  30 

152  03 

147  34 

145  53 

141  59 

140  08 

136  45 

134  48 

131  54 

129  52 

127  23 

125  19 

123  10 

121  05 

119  14 

117  12 

"5  33 

113  32 

112  06 

no  08 

108  52 

106  57 

105  48 

103  56 

102  53 

loi  04 

100  07 

98  22 

97  29 

95  47 

94  57 

93  18 

92  31 

90  55 

90  10 

8838 

87  54 

86  25 

85  42 

84  15 

83  34 

82  II 

81  28 

80  08 

79  26 

7809 

77  27 

76  12 

75  30 

74  17 

73  34 

72  24 

71  40 

70  33 

69  49 

68  44 

68  00 

66  56 

66  10 

65  09 

64  22 

63  23 

62  37 

61  39 

60  50 

59  55 

59  05 

58  12 

57  22 

56  30 

55  37 

54  48 

53  54 

53  07 

52  12 

.51  25 

50  30 

49  46 

4848 

48  05 

47  07 

46  25 

45  26 

44  46 

43  45 

43  07 

42  04 

41  27 

40  23 

39  48 

38  43 

3809 

37  02 

36  30 

35  21 

34  50 

33  41 

33  12 

32  00 

31  33 

30  19 

29  53 

28  39 

28  14 

26  58 

26  35 

25  18 

24  56 

23  37 

23  17 

21  56 

21  37 

20  16 

1958 

-  18  34 

18  18 

16  53 

16  39 

15  12 

14  59 

13  31 

13  20 

II  50 

II  39 

10  09 

10  00 

827 

8  20 

6  46 

6  40 

5  05 

5  00 

3  23 

3  20 

141 

I  40 

0  00 

0  00 

67° 


68° 


180  OO 

172  12 
164  33 
157  H 
150  20 

143  55 

138  01 
132  34 
127  36 
123  03 
118  49 
"4  57 

III  21 
108  01 
104  52 
loi  55 
99  08 
96  30 

93  59 
91  34 
89  15 
87  01 
84  52 
82  46 

80  44 
78  44 
76  48 
74  54 
73  02 
71  12 

69  23 
67  35 
65  51 
64  05 
62  22 
60  40 

5858 
57  17 
55  36 
53  57 
52  17 
5038 

49  00 
47  21 
45  42 
44  05 
42  27 
40  50 

39  12 

37  34 
35  57 
34  19 
32  42 
31  04 

29  27 

27  49 
26  12 

24  33 
22  56 
21  18 

19  40 

18  02 

16  25 

14  46 

13  08 

II  29 

951 
813 
6  34 
4  56 
3  17 
I  39 
o  00 


180  00 

I7»  34 
163  21 

155  34 
148  18 
141  38 

135  33 
130  02 
125  01 
120  28 
116  19 
112  30 

108  58 
105  42 
102  39 
99  47 
97  04 
94  31 

92  04 
8944 
8729 
85  20 
83  13 
81  II 

79  13 
77  16 
75  23 
73  32 
71  43 
6956 

68  10 
66  25 
64  43 
63  00 
61  19 
59  39 

58  00 
56  20 
54  42 
53  04 
51  27 
49  49 

48  13 
46  36 
44  59 
43  24 
41  47 
40  II 

38  35 
36  59 
35  23 
33  47 
32  12 

30  35 

29  00 
27  24 
25  47 
24  10 
22  35 
20  58 

19  22 
17  46 
16  09 
14  32 
12  56 
II  19 

9  42 
8  05 
6  28 
4  51 
3  14 
I  37 
o  00 


69°    I   Hoar  Angle. 


0  t 

li.    m. 

180  00 

0    00 

170  48 

10 

161  54 

20 

153  33 

30 

145  53 

40 

13856 

60 

132  43 

1     00 

127  07 

10 

122  07 

20 

117  36 

30 

113  32 

40 

109  48 

50 

106  22 

2     00 

103  12 

10 

100  15 

20 

97  29 

30 

94  52 

L40 

92  25 

60 

90  03 

8747 

3     00 

lO 

85  37 

20 

83  31 

30 

81  31 

40 

79  32 

50 

77  37 

4     00 

75  45 

10 

73  55 

20 

72  07 

30 

70  22 

40 

6837 

60 

6653 

5     00 

65  12 

10 

63  32 

20 

61  51 

30 

60  13 

40 

58  35 

50 

5658 

6     00 

55  21 

10 

53  45 

20 

52  09 

30 

50  33 

40 

4858 

60 

47  24 

7     00 

45  49 

10 

44  13 

20 

42  40 

30 

41  05 

40 

39  31 

50 

37  56 

8     00 

36  22 

10 

3448 

20 

33  r4 

30 

31  40 

40 

30  06 

50 

28  32 

9     00 

2656 

10 

25  22 

20 

23  47 

30 

22  12 

40 

20  38 

50 

19  03 

10     00 

17  29 

10 

15  53 

20 

14  18 

30 

12  43 

40 

II  08 

60 

9  33 

11     00 

7  57 

10 

6  22 

20 

4  47 

30 

3  " 

40 

136 

50 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising-  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  [East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


276 


AZIMUTH  OR  TRUE  BEARING. 


I.ATITUDE:  67°. 

DECI^INATION— SAME  NAME  AS- 

-LATITUDE. 

! 

LiATITUDE:  67°.  i 

1 

Hour 

Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

li. 

ni. 

o  / 

0  / ' 

0  / 

0  / 

0  / 

0  1 

0  1 

0  1 

0  / 

0  1 

0  / 

b.    m. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0  oa 

0  00 

0    00 

10 

169  49 

168  31 

166  43 

164  04 

159  48 

151  54 

133  56 

88  si 

42  35 

23  56 

15  49 

10 

20 

160  04 

157  40 

154  26 

149  52 

143  03 

132  13 

114  19 

87  42 

60  06 

40  49 

29  06 

20 

30 

151  02 

147  51 

143  43 

138  10 

130  31 

119  47 

105  02 

8633 

67  21 

51  06 

39  04 

30 

40 

142  55 

139  16 

134  40 

128  49 

121  15 

III  34 

99  27 

85  24 

7047 

57  20 

46  08 

40 

50 

135  43 

131  50 

127  07 

121  20 

114  15 

105  41 

95  34 

84  15 

72  27 

61  09 

51  05 

50 

1 

OO 

129  22 

125  27 

120  48 

115  18 

108  47 

lOI  II 

92  33 

83  05 

73  14 

63  33 

54  32 

1    00 

lO 

123  47 

"9  55 

115  26 

no  16 

104  20 

97  35 

90  03 

81  56 

73  28 

65  03 

5658 

10 

20 

118  50 

115  05 

no  50 

106  01 

100  35 

94  32 

87  53 

80  47 

73  23 

65  55 

5838 

20 

30 

114  24 

no  49 

106  48 

102  19 

97  20 

91  52 

85  57 

79  37 

73  03 

66  22 

59  46 

30 

40 

no  26 

107  01 

103  14 

99  04 

94  28 

8930 

84  08 

78  28 

72  33 

66  31 

60  29 

40 

50 

106  51 

103  36 

100  02 

96  08 

91  55 

87  21 

82  28 

77  18 

71  56 

66  26 

60  54 

50 

2 

OO 

103  32 

100  27 

97  06 

93  28 

8933 

85  21 

80  52 

76  09 

71  14 

66  II 

61  05 

2    00 

lO 

100  30 

97  35 

94  25 

91  00 

87  22 

83  28 

79  20 

74  59 

70  28 

65  47 

61  03 

10 

20 

97  41 

94  54 

91  55 

8843 

85  18 

81  41 

77  50 

73  49 

6938 

65  18 

60  53 

20 

30 

95  01 

92  24 

8934 

8633 

83  22 

7958 

76  23 

72  39 

68  44 

64  42 

60  35 

30 

40 

92  32 

90  02 

87  21 

84  31 

81  30 

78  19 

74  58 

71  29 

67  50 

64  03 

60  II 

40 

60 

90  10 

87  47 

85  15 

82  33 

79  44 

76  44 

73  35 

70  18 

6653 

63  20 

59  42 

50 

3 

OO 

8755 

8538 

83  14 

80  42 

78  01 

75  II 

72  13 

69  08 

65  55 

62  34 

59  08 
58  31 

3     00 

lO 

85  44 

83  35 

81  17 

78  53 

76  20 

73  40 

70  52 

67  57 

64  54 

61  45 

10 

20 

83  40 

81  36 

79  24 

77  07 

74  43 

72  10 

69  32 

66  46^ 

63  54 

60  55 

57  50 

20 

30 

81  39 

79  41 

77  36 

75  24 

73  08 

70  43 

68  12 

65  35 

62  51 

60  01 

57  07 

30 

40 

79  43 

77  49 

75  50 

73  44 

71  34 

69  17 

6653 

64  24 

61  49 

59  07 
58  n 

56  20 

40 

50 

7748 

76  00 

74  06 

72  07 

70  02 

67  51 

65  34 

63  12 

60  44 

55  32 

50 

4 

OO 

7558 

74  14 

72  24 

70  30 

6831 

66  26 

64  16 

62  01 

59  40 

57  13 

54  42 

4     00 

lO 

74  09 

72  29 

70  45 

6855 

67  01 

65  03 

6258 

60  49 

58  34 

5*5  15 

53  50 

10 

20 

72  23 

70  47 

69  07 

.  67  22 

.  65  34 

63  39 

61  40 

59  37 

57  28 

55  14 

52  56 

20 

30 

70  38 

69  07 

67  30 

65  50 

64  06 

62  16 

60  23 

58  24 

56  22 

54  14 

52  01 

30 

40 

6856 

67  28 

65  55 

64  19 

62  39 

60  54 

59  05 

57  1.2 

55  14 

53  12 

51  06 

40 

50 

67  15 

65  50 

64  21 

62  49 

61  12 

59  32 

5748 

55  59 

54  06 

52  09 

50  08 

50  j 

5 

OO 

65  35 

64  13 

62  47 

61  19 

59  46 

58  10 

56  30 

54  46 

52  58 

51  06 

49  09 

5     00  ' 

lO 

63  57 

62  37 

61  15 

59  49 

58  21 

56  49 

55  13 

53  33 

51  49 

50  01 

48  09 

10 

20 

62  19 

61  02 

59  43 

58  21 

5656 

55  27 

53  55 

52  19 

5040 

48  56 

47  09 

20 

30 

60  41 

59  28 

58  12 

56  53 

55  31 

54  06 

52  38 

51  05 

49  30 

47  51 

46  08 

30 

40 

59  05 

57  54 

56  42 

55  25 

54  06 

52  45 

51  19 

49  51 

48  19 

46  43 

45  05 

40 

50 

57  30 

56  22 

55  12 

53  58 

52  42 

51  24 

50  02 

48  37 

47  09 

45  37 

44  02 

50 

6 

OO 

55  54 

54  49 

53  41 

52  31 

51  18 

50  02 

48  44 
47  26 

47  22 

45  58 

44  29 

42  58 

6     00 

lO 

54  20 

53  17 

52  n 

51  04 

49  54 

48  41 

46  07 

44  46 

43  21 

41  53 

10 

20 

52  47 

51  46 

50  43 

4938 

48  31 

47  20 

46  08 

44  52 

43  34 

42  12 

40  48 

20 

30 

51  13 

50  14 

49  14 

48  n 

47  06 

45  59 

44  49 

43  37 

42  22 

41  04 

39  43 

30 

40 

49  39 

48  42 

47  45 

46  44 

45  42 

44  38 

43  30 

42  21 

41  09 

39  54 

3836 

40 

50 

48  06 

47  II 

46  16 

45  18 

44  18 

43  16 

42  12 

41  05 

3956 

38  44 

37  29 

50 

7 

OO 

46  33 

45  41 

44  48 

43  52 

42  54 

41  55 

40  53 

39  49 

38  43 

37  33 

36  22 

7     00 

lO 

45  00 

44  10 

43  19 

42  25 

41  30 

40  33 

39  33 

38  32 

37  29 

36  23 

35  14 

10 

20 

43  27 

42  40 

41  50 

40  59 

40  06 

39  II 

38  15 

37  16 

36  14 

35  II 

34  05 

20 

30 

41  55 

41  09 

40  21 

39  32 

3842 

37  50 

36  55 

35  59 

35  01 

33  59 

32  57 

30 

40 

40  23 

3938 

38  53 

38  06 

37  18 

36  27 

35  35 

34  41 

33  45 

32  47 

31  48 

40 

50 

38  51 

3808 

37  24 

36  39 

35  54 

35  06 

34  16 

33  24 

32  30 

31  35 

30  37 

50 

8 

OO 

37  18 

36  37 

35  56 

35  13 

34  28 

33  42 

32  54 

32  06 

31  15 

30  22 

29  27 

»     00 

lO 

35  46 

35  07 

34  27 

33  46 

33  04 

32  20 

31  34 

30  48 

29  59 

29  08 

28  16 

10 

20 

34  12 

33  36 

3258 

32  19 

31  39 

30  57 

30  14 

29  30 

28  43 

27  55 

27  05 

20 

30 

•  32  41 

32  06 

31  30 

30  52 

30  14 

29  34 

28  53 

28  II 

27  27 

26  41 

25  54 

?» 

* 

40 

31  08 

30  34 

30  00 

29  25 

28  49 

28  II 

27  32 

26  52 

26  10 

25  27 

24  43 

40 

50 

29  35 

29  03 

28  31 

27  58 

27  23 

26  48 

26  n 

25  33 

24  54 

24  13 

23  30 

50  i 

9 

OO 

28  03 

27  33 

27  02 

26  31 

25  58 

25  24 

24  49 

24  14 

23  37 

22  58 

22  18 

9     00 

10 

26  30 

26  02 

25  32 

25  02 

24  32 

24  00 

23  28 

22  54 

22  20 

21  43 

21  06 

10 

20 

24  57 

24  30 

24  03 

23  35 

23  07 

22  37 

22  06 

21  34 

21  01 

20  28 

19  53 

20 

30 

23  24 

22  59 

22  33 

22  07 

21  41 

21  13 

20  45 

20  15 

19  44 

19  12 

18  39 

30 

40 

21  50 

21  27 

21  04 

20  39 

20  14 

19  49 

19  22 

18  54 

18  26 

17  56 

17  26 

40 

50 

20  18 

19  57 

19  35 

19  12 

18  48 

18  24 

18  00 

17  34 

17  08 

16  40 

16  II 

50 

lO 

OO 

18  44 

18  25 

18  04 

17  43 

17  22 

17  00 

16  37 

16  14 

15  50 

15  24 

14  58 

10     00 

10 

17  10 

16  52 

16  34 

16  15 

15  56 

15  35 

15  14 

14  53 

14  31 

14  08 

13  44 

10 

20 

15  37 

15  21 

15  04 

14  47 

14  29 

14  II 

13  52 

13  33 

13  13 

12  52 

12  30 

20 

30 

14  05 

13  50 

13  34 

13  18 

13  02 

12  46 

12  29 

12  12 

II  53 

11  34 

II  15 

30 

40 

12  30 

12  17 

12  04 

n  50 

n  36 

II  21 

II  06 

10  51 

10  35 

10  18 

10  01 

40 

50 

10  56 

10  45 

10  34 

10  22 

10  10 

9  57 

9  44 

9  30 

■  9  16 

9  01 

845 

50 

11 

OO 

9  23 

9  13 

9  03 

853 

8  43 

832 

8  20 

8  08 

756 

7  44 

7  31 

11     00 

lO 

7  50 

7  42 

7  33  i 

7  24 

7  15 

7  06 

657 

6  47 

637 

6  26 

6  16 

10 

20 

6  16 

6  09 

6  02 

5  55 

548 

5  41 

5  34 

526 

5  18 

5  10 

5  01 

20  i 

30 

4  42 

4  37 

4  32  i 

4  27 

4  22 

4  16 

4  10 

4  04 

358 

3  52 

3  46 

30  1 

40 

3  08 

3  05 

3  01 

2  57 

2  54 

2  51 

2  47 

2  43 

2  39 

2  35 

2  30 

40 

50 

I  34 

I  32 

I  31 

1  29 

I  27 

I  25 

I  23 

1  21 

I  19 

I  17 

I  16 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12    00 

In  Ji'orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


277 


AZIMUTH  OR  TRUE  BEARING. 


LATITLTDE  68°. 

DECLIXATION- 

-SAME  NAME 

AS— I^ATITUDE. 

LATITUDE  68°. 

Hour  Angle. 

24° 

26° 

26° 

27° 

'  28° 

29° 

30° 

31° 

32° 

33° 

34° 

3o° 

Hour  Angle. 

ll.    ill. 

o  / 

0  / 

0  ' 

0  / 

0  / 

0  r 

0  / 

0  / 

0  / 

0  , 

0  ' 

0  / 

ll.    in. 

O     OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0     00 

lO 

176  43 

176  41 

176  38 

176  36 

176  34 

176  31 

17629 

176  27 

176  24 

176  20 

176  15 

176  10 

10  i 

ao 

173  26 

173  22 

173  17 

173  13 

173  08 

173  04 

172  58 

172  53 

172  47 

172  42 

172  36 

172  30 

20 

30 

170  09 

170  04 

169  58 

169  51 

169  44 

169  36 

169  29 

169  22 

169  13 

169  04 

168  55 

168  46 

30 

40 

166  54 

166  46 

16638 

166  29 

i  166  19 

166  10 

166  00 

165  50 

165  39 

165  28 

165  16 

165  04 

40 

50 

163  40 

163  30 

163  20 

16308 

162  57 

162  45 

162  33 

162  21 

162  08 

161  54 

161  39 

161  24 

50 

1     OO 

160  27 

160  15 

160  03 

159  50 

159  37 

159  23 

159  09 

158  54 

15838 

158  22 

158  05 

157  46 

1     00 

lO 

157  15 

157  02 

156  48 

156  34 

156  18 

156  03 

155  46 

155  29 

155  11 

154  52 

154  32 

154  II 

10 

20 

154  07 

153  51 

153  35 

153  19 

153  02 

152  44 

152  25 

152  06 

151  46 

151  26 

151  04 

150  41 

20 

30 

150  59 

150  42 

150  25 

150  06 

149  48 

149  28 

149  08 

148  47 

148  24 

148  02 

147  38 

147  14 

30 

40 

147  54 

147  36 

147  16 

146  56 

146  36 

146  15 

145  54 

145  31 

145  06 

144  42 

144  16 

143  50 

40 

60 

144  51 

144  31 

144  IT 

143  50 

1  143  28 

143  06 

142  42 

142  18 

141  52 

141  26 

140  58 

140  30 

60  { 

2     OO 

141  50 

141  29 

141  08 

14045 

,  140  22 

13958 

139  34 

139  08 

138  41 

138  13 

137  44 

137  14 

2     00 

S               1® 

138  53 

138  30 

138  07 

137  44 

137  20 

136  55 

136  28 

136  01 

135  33 

135  05 

134  35 

134  03 

10 

20 

135  56 

135  33 

135  10 

134  45 

134  20 

133  53 

133  27 

132  59 

132  29 

131  59 

131  28 

130  55 

20 

30 

133  04 

132  40 

132  15 

131  49 

131  23 

130  55 

130  28 

129  59 

129  29 

128  57 

128  25 

127  52 

30 

40 

130  13 

129  48 

129  22 

12856 

128  29 

128  OI 

127  33 

127  03 

13631 

125  59 

125  26 

124  52 

40  1 

50 

127  25 

127  00 

126  34 

126  06 

125  38 

125  10 

124  40 

124  10 

12338 

123  06 

122  32 

121  57 

50 

3     OO 

124  39 

. 124  14 

123  47 

123  19 

122  51 

122  21 

121  51 

121  21 

120  48 

120  15 

119  41 

119  05 

3     00 

lO 

121  56 

121  30 

121  0^ 

120  34 

120  06 

"9  35 

119  05 

118  34 

118  01 

117  27 

116  52 

116  17 

10  ! 

20 

119  16 

118  48 

118  21 

117  52 

117  23 

"6  53 

116  22 

"5  50 

115  17 

114  43 

114  08 

113  32 

20 

30 

116  37 

116  10 

115  42 

"5  13 

114  44 

"4  13 

113  42 

113  10 

112  36 

112  02 

III  27 

no  50 

30 

40 

114  02 

"3  34 

"3  05 

112  35 

112  05 

1"  35 

III  04 

no  32 

109  58 

109  24 

108  49 

108  13 

40 

50 

III  27 

no  59 

no  31 

no  01 

109  31 

109  00 

108  29 

107  56 

107  22 

106  48 

106  13 

10538 

50 

4     OO 

108  56 

108  27 

107  58 

107  29 

106  59 

106  28 

105  57 

105  25 

IQ4  51 

104  17 

103  41 

103  05 

4     00 

lO 

106  24 

105  57 

105  28 

104  59 

104  29 

103  57 

103  25 

102  53 

102  20 

loi  46 

lOI  II 

100  35 

10 

20 

103  57 

103  28 

102, 59 

102  30 

102  00 

loi  29 

100  58 

100  26 

99  52 

99  18 

98  44 

9808 

20 

30 

101  30 

1 01  02 

100  33 

100  04 

99  34 

99  03 

98  32 

98  00 

97  27 

96  53 

96  18 

95  44 

30 

40 

99  06 

9837 

98  09 

97  40 

97  10 

9639 

96  08 

95  37 

95  04 

94  30 

93  56 

93  20 

40 

50 

96  42 

96  14 

95  46 

95  17 

94  47 

94  16 

93  45 

93  14 

92  41 

92  08 

91  34 

01  00 

50 

5     OO 

94  20 

93  52 

93  24 

92  54 

92  24 

91  54 

91  24 

90  53 

90  21 

8948 

89  14 

88  40 

5     00 

lO 

92  CO 

91  32 

91  03 

90  34 

90  05 

89  35 

8905 

8834 

88  02 

87  30 

8657 

86  23 

10 

20 

89  40 

89  12 

88  44 

88  j6 

87  47 

87  17 

8647 

86  17 

85  46 

85  14 

84  41 

84  08 

20 

30 

87  21 

8654 

86  27 

8558 

85  29 

85  00 

84  30 

84  00 

8330 

82  58 

82  26 

81  53 

30 

-  40 

8503 

8436 

84  09 

8341 

83  13 

82  44 

82  15 

81  46 

81  15 

8044 

80  12 

79  40 

40 

50 

82  48 

82  21 

81  54 

81  26 

8058 

80  29 

80  01 

79  32 

79  02 

7832 

78  01 

77  29 

50 

6     OO 

80  32 

80  06 

79  39 

79  12 

7844 

78  16 

77  48 

77  20 

76  50 

76  20 

75  49 

75  18 

6     00 

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78  17 

77  50 

77  24 

76  57 

76  30 

76  03 

75  35 

75  07 

7438 

74  09 

73  39 

73  09 

10 

20 

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7538 

75  12 

74  45 

74  18 

73  51 

73  24 

72  56 

72  28 

71  59 

71  30 

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20 

30 

73  49 

73  24 

7258 

72  32 

72  06 

71  39 

71  13 

70  46 

70  18 

69  49 

69  20 

68  51 

30 

40 

71  35 

71  10 

70  45 

70  20 

69  54 

69  28 

69  02 

6836 

68  09 

67  41 

67  13 

66  44 

40 

50 

69  22 

6858 

6834 

68  09 

67  44 

67  18 

66  52 

66  26 

66  00 

65  33 

65  06 

6438 

50 

7     OO 

67  10 

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6557 

65  33 

65  08 

6443 

64  18 

63  52 

63  25 

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20 

62  45 

62  23 

62  00 

61  37 

61  13 

60  49 

60  25 

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59  36 

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20  ! 

30 

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56  41 

56  15 

30 

40 

58  22 

57  59 

57  37 

57  15 

56  53 

56  31 

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55  46 

55  22 

54  59 

54  35 

54  10 

40 

50 

56  09 

55  49 

55  27 

55  06 

54  44 

54  22 

54  01 

53  39 

53  16 

52  53 

52  30 

52  07 

50 

8     OO 

53  57 

53  36 

53  16 

52  56 

52  35 

52  13 

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50  24 

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51  25 

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50  25 

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49  44 

49  23 

49  02 

48  41 

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47  58 

10 

20 

49  33 

49  14 

48  55 

48  35 

48  15 

47  56 

47  36 

47  16 

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4636 

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20 

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47  21 

47  02 

46  43 

46  24 

46  05 

45  46 

4528 

45  09 

44  49 

44  29 

44  09 

43  49 

30 

40 

45  08 

44  50 

44  32 

44  14 

43  56 

43  37 

43  19 

43  01 

42  42 

42  23 

42  04 

41  45 

40 

50 

42  55 

42  38 

42  21 

42  04 

41  47 

41  28 

41  II 

40  54 

40  36 

40  17 

39  59 

39  41 

60 

9     OO 

40  41 

40  25 

40  09 

39  52 

39  35 

39  19 

39  03 

38  46 

38  29 

38  12 

37  54 

37  36 

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lO 

38  28 

38  13 

37  57 

37  42 

37  26 

37  09 

36  53 

36  37 

36  21 

36  05 

3548 

35  32 

10 

20 

36  14 

36  00 

35  45 

35  30 

35  15 

35  00 

34  45 

34  30 

34  15 

33  59 

33  44 

33  28 

20 

30 

34  00 

33  47 

33  33 

33  19 

33  05 

32  50 

32  36 

32  22 

32  07 

31  53 

31  38 

31  23 

30 

40 

31  46 

31  33 

31  20 

31  07 

30  53 

30  40 

30  27 

30  13 

29  59 

29  46 

29  32 

29  18 

40 

50 

29  32 

29  19 

29  07 

2854 

28  42 

28  30 

'28  18 

28  05 

27  52 

27  40 

27  26 

27  13 

50 

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27  i5 

27  05 

26  54 

26  42 

26  31 

26  19 

26  08 

25  57 

25  45 

25  33 

25  21 

25  09 

10     00 

lO 

25  00 

24  50 

24  40 

24  30 

24  19 

24  09 

2358 

23  47 

23  37 

23  26 

23  14 

23  03 

10 

S® 

22  46 

22  36 

22  27 

22  17 

22  08 

21  58 

21  48 

21  38 

21  28 

21  18 

21  09 

20  59 

20 

30 

20  30 

20  22 

20  13 

20  04 

19  55 

19  46 

19  38 

19  29 

19  20 

19  II 

19  02 

1853 

30 

40 

18  14 

18  07 

17  59 

17  51 

17  43 

17  35 

17  27 

17  19 

17  12 

17  04 

16  56 

16  47 

40 

SO 

15  58 

15  51 

15  44 

1538 

15  31 

15  24 

15  17 

15  10 

15  03 

14  56 

14  49 

14  42 

50 

11     OO 

13  42 

13  36 

13  30 

13  24 

13  18 

13  12 

13  06 

13  00 

12  54 

12  48 

12  42 

12  36 

11     00 

lO 

II  25 

II  20 

u  15 

II  10 

II  05. 

n  00 

10  56 

10  51 

10  46 

10  40 

10  35 

10  30 

10 

?» 

9  08 

9  04 

9  00 

857 

853 

8  48 

844 

841 

837 

833 

8  29 

824 

20 

30 

651 

6  48 

6  45 

6  42 

6  39 

6  36 

633 

6  30 

627 

6  2| 

6  22 

6  18 

30 

40 

4  34 

4  32 

4  30 

4  29 

4  27 

4  25 

4  22 

4  20 

4  18 

4  16 

4  14 

4  12 

40 

50 

2  17 

2  16 

2  15 

2  14 

2  13 

2  12 

2  II 

2  10 

2  09 

2  08 

2  07 

2  06 

50 

12     OO 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

0  00 

0  00 

12     00 

In  Jforth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East:  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


278 


AZIMUTH  OR  TRUE  BEARING. 


liATITUDE  68°. 

DECLINATION- 

-SAM:e  NAME 

AS— LATITUDE. 

liATITVDE  68  . 

Hour  Angle. 

36° 

37° 

38° 

30° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

1 
Hour  Angle. 

li. 

m. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  1 

0  / 

0  1 

0  1 

It.      lU. 

0 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

10 

176  12 

176  08 

176  04 

176  00 

175  55 

175  51 

175  46 

175  41 

175  35 

175  29 

175  22, 

175  15 

10 

20 

172  23 

172  15 

172  08 

172  00 

171  52 

171  43 

171  33 

171  22 

171  II 

170  59 

170  46 

170  31 

20 

30 

16835 

168  26 

!  168  14 

168  02 

167  49 

167  36 

167  22 

167  06 

166  49 

166  31 

166  12 

165  51 

30 

40 

164  51 

164  37 

164  22 

164  06 

163  50 

163  32 

163  13 

162  53 

162  31 

162  08 

161  42 

161  15 

40 

60 

161  07 

160  51 

160  33 

t6o  13 

159  53 

159  32 

159  08 

158  43 

158  17 

157  49 

157  17 

156  44 

50 

1 

OO 

157  27 

157  08 

156  46 

156  24 

156  00 

155  35 

155  08 

154  39 

154  08 

153  35 

152  59 

152  21 

1     00 

lO 

153  50 

153  28 

153  03 

152  38 

152  II 

151  42 

151  12 

150  40 

150  05 

149  27 

148  47 

148  04 

10 

20 

150  17 

149  51 

149  24 

148  56 

148  27 

147  55 

147  21 

146  46 

146  08 

145  27 

144  43 

143  56 

20 

30 

146  47 

146  19 

145  50 

145  19 

144  47 

144  13 

143  36 

142  58 

142  17 

141  33 

140  46 

139  55 

30 

40 

143  21 

142  51 

142  21 

141  47 

141  13 

140  36 

139  57 

139  16 

138  33 

137  47 

136  57 

136  04 

40 

50 

140  00 

139  29 

138  56 

138  21 

137  44 

137  05 

136  24 

135  42 

134  56 

134  07 

133  15 

132  21 

50 

2 

OO 

136  43 

136  09 

135  34 

13458 

134  20 

133  40 

132  57 

132  12 

131  25 

130  35 

129  41 

128  44 

2    00 

lO 

133  30 

132  55 

132  19 

131  42 

131  02 

130  20 

129  37 

128  51 

128  01 

127  10 

126  15 

125  17 

10 

20 

130  21 

129  45 

129  08 

128  30 

127  49 

127  07 

126  21 

125  34 

124  44 

123  52 

122  56 

121  57 

20 

30 

127  17 

126  40 

126  02 

125  22 

124  41 

123  57 

123  n 

122  24 

121  33 

120  40 

119  43 

118  44 

30 

40 

124  16 

123  39 

123  00 

122  20 

121  38 

120  53 

120  07 

119  18 

118  27 

117  34 

116  37 

115  39 

40 

50 

121  20 

120  43 

120  04 

119  22 

118  39 

117  55 

117  09 

no  20 

115  28 

114  34 

113  38 

112  39 

50 

3 

OO 

118  29 

117  50 

117  10 

116  29 

"5  46 

115  or 

114  14 

113  26 

112  34 

III  41 

no  45 

109  46 

3     00 

lO 

115  40 

115  01 

114  21 

"3  39 

112  56 

112  II 

III  24 

"0  35 

109  45 

108  52 

107  56 

106  56 

10 

20 

"2  55 

112  16 

III  36 

no  54 

no  11 

109  26 

108  39 

107  51 

107  00 

106  07 

105  II 

104  14 

20 

30 

no  13 

109  35 

108  54 

108  13 

107  30 

106  45 

105  59 

105  10 

104  20 

103  27 

102  32 

loi  35 

30 

40 

107  35 

106  57 

106  16 

105  34 

104  52 

104  07 

103  22 

102  34 

loi  43 

100  51 

99  57 

98  01 

40 

50 

105  00 

104  21 

103  41 

103  00 

102  i^i 

loi  34 

100  48 

100  00 

99  II 

98  20 

97  27 

96  31 

50 

4 

OO 

102  28 

101  50 

loi  10 

100  29 

99  47 

99  03 

98  17 

97  31 

96  43 

95  53 

95  00 

94  06 

4     00 

10 

9958 

99  20 

98  40 

98  00 

97  18 

96  35 

95  50 

95  05 

94  17 

93  27 

92  35 

91  42 

10 

20 

97  31 

96  53 

96  14 

95  34 

94  53 

94  10 

93  26 

92  41 

91  54 

9'  05 

90  14 

89  23 

20 

30 

95  06 

94  29 

93  51 

93  12 

92  30 

91  48 

91  05 

9P  21 

89  35 

8847 

87  57 

87  06 

30 

40 

92  45 

92  07 

91  29 

90  50 

90  10 

89  29 

8846 

88  02 

87  17 

86  30 

85  42 

84  52 

40 

60 

90  25 

89  48 

89  II 

88  32 

87  53 

87  II 

86  30 

85  47 

85  02 

84  16 

83  28 

82  39 

50 

5 

OO 

88  06 

8730 

8653 

86  15 

8536 

8456 

84  14 

83  32 

82  49 

82  04 

81  17 

80  30 

5     00 

lO 

85  48 

85  13 

8437 

S3  59 

83  21 

82  42 

82  02 

81  21 

80  37 

79  53 

79  08 

78  22 

10 

20 

83  34 

8259 

82  23 

81  46 

81  09 

80  31 

79  51 

79  10 

■78  29 

77  46 

77  02 

76  17 

20 

30 

81  20 

80  46 

80  10 

79  34 

7858 

78  20 

77  42 

77  02 

76  21 

75  39 

74  56 

74  II 

30 

40 

79  07 

78  34 

77  59 

77  24 

76  48 

76  II 

75  33 

74  55 

74  15 

73  34 

72  51 

72  09 

40 

50 

76  57 

76  24 

75  50 

75  15 

74  40 

74  04 

73  27 

72  50 

72  II 

71  31 

70  49 

70  07 

50 

6 

OO 

74  46 

74  14 

73  41 

7308 

72  33 

71  58 

71  22 

70  45 

70  07 

69  28 

68  48 

68  07 

6     00 

lO 

72  37 

72  06 

71  33 

71  00 

70  26 

69  52 

69  17 

68  41 

68  04 

67  26 

6647 

66  07 

10 

20 

70  29 

69  59 

69  28 

6855 

68  22 

67  48 

67  14 

6639 

66  03 

65  26 

64  48 

64  10 

20 

30 

68  22 

67  52 

67  21 

66  50 

66  18 

65  45 

65  12 

6438 

64  03 

63  27 

62  50 

62  12 

30 

40 

66  13 

65  45 

65  15 

64  45 

64  14 

63  42 

63  09 

62  36 

62  03 

61  28 

60  52 

60  15 

40 

50 

64  10 

63  41 

63  12 

62  42 

62  II 

61  40 

61  08 

6036 

60  03 

59  30 

5855 

58  20 

50 

7 

OO 

62  04 

61  36 

61  08 

60  39 

60  09 

59  39 

5908 

58  37 

58  05 

57  33 

56  59 

56  24 

7     00 

lO 

5958 

59  32 

59  04 

5836 

58  07 

57  38 

57  08 

5638 

56  07 

55  35 

55  03 

54  30 

10 

20 

57  54 

5728 

57  01 

56  33 

56  05 

55  37 

5508 

54  39 

54  09 

53  39 

5308 

52  36 

20 

30 

55  50 

55  25 

54  59 

54  32 

54  05 

53  37 

53  09 

52  41 

52  12 

51  42 

51  II 

50  40 

30 

40 

53  46 

53  22 

52  57 

52  31 

52  05 

51  38 

51  II 

50  44 

50  16 

49  47 

49  17 

48  47 

40 

60 

51  43 

51  19 

50  55 

50  30 

50  05 

49  39 

49  13 

48  46 

48  19 

47  52 

47  24 

46  55 

50 

8 

OO 

49  39 

49  16 

48  52 

48  27 

48  03 

47  39 

47  14 
45  10 

46  48 

46  22 

45  56 

45  29 

45  02 

8     00 

10 

47  36 

47  14 

46  51 

46  27 

46  04 

45  40 

44  51 

44  27 

44  02 

43  35 

43  08 

10 

20 

45  32 

45  10 

44  49 

44  27 

44  05 

43  42 

43  18 

42  54 

42  30 

42  06 

41  41 

41  17 

20 

30 

43  29 

4308 

42  47 

42  26 

42  04 

41  43 

41  21 

40  58 

40  35 

40  12 

39  48 

39  24 

30 

40 

41  26 

41  06 

40  45 

40  25 

40  05 

39  44 

39  23 

39  oi 

38  39 

38  17 

37  54 

37  31 

40  j 

50 

39  22 

39  03 

38  44 

38  25 

3805 

37  45 

37  25 

37  05 

36  44 

36  23 

36  01 

35  39 

50 

9 

OO 

37  18 

37  01 

36  43 

36  24 

36  05 

35  46 

35  27 

35  08 

34  48 

34  28 

34  07 

3346 

9     00 

lO 

35  15 

3458 

34  41 

34  24 

34  06 

3348 

33  29 

33  II 

32  53 

32  34 

32  14 

31  54 

10 

20 

33  12 

32  56 

32  40 

32  23 

32  06 

31  49 

31  32 

31  15 

30  57 

30  39 

30  20 

30  02 

20 

30 

31  09 

30  53 

30  37 

30  22 

30  06 

29  50 

29  34 

29  18 

29  02 

28  44 

28  27 

28  10 

30 

40 

29  04 

28  50 

28  35 

28  21 

28  07 

27  52 

27  36 

27  21 

27  05 

26  50 

26  34 

26  17 

40 

60 

27  00 

26  48 

26  34 

26  20 

26  06 

25  53 

25  38 

25  24 

25  10 

24  55 

24  40 

24  25 

SO 

lO 

OO 

24  57 

2445 

24  32 

24  19 

24  07 

23  54 

23  41 

23  28 

23  14 

23  01 

22  47 

22  33 

10     00 

lO 

22  52 

22  41 

22  29 

22  18 

22  06 

21  54 

21  43 

31  30 

21  18 

21  06 

20  53 

20  40 

10 

20 

20  48 

20  38 

20  28 

20  17 

20  06 

19  55 

19  44 

19  34 

19  23 

19  12 

19  00 

18  48 

20 

30 

1843 

18  34 

18  25 

18  15 

18  06 

17  56 

17  47 

17  37 

17  26 

17  16 

17  06 

1656 

30 

40 

16  39 

16  31 

16  22 

16  14 

16  05 

15  56 

15  48 

15  39 

15  30 

15  21 

15  12 

15  02 

40 

50 

14  35 

14  27 

14  20 

14  12 

1405 

13  57 

13  49 

13  42 

13  34 

13  26 

13  18 

13  09 

50 

11 

OO 

12  30 

12  23 

12  17 

12  10 

12  04 

II  58 

II  51 

II  45 

II  38 

II  31 

II  24 

II  16 

11     00 

lO 

10  26 

10  20 

10  15 

10  09 

10  04 

958 

9  53 

9  48 

9  42 

9  36 

9  30 

9  25 

10 

20 

8  21 

8  16 

8  II 

807 

8  03 

7  59 

7  50 

7  46 

7  41 

7  36 

7  32 

20 

30 

6  15 

6  12 

6  09 

6  06 

6  03 

6  00 

5  56 

5  52 

5  49 

5  45 

5  42 

538 

30 

40 

4  10 

4  08 

4  06 

4  04 

4  02 

3  59 

3  57 

3  55 

3  5? 

3  51 

3  49 

3  46 

40 

50 

2  05 

2  04 

2  03 

2  02 

2  01 

^  59 

I  58 

I  57 

I  56 

I  55 

I  54 

I  53 

50 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sooth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


279 


AZIMUTH  OR  TRUE  BEARING. 


i  1.ATITI  DE  68°. 

DECLINATION- 

-SAME  NAME 

AS— LATITUDE 

LATITUDE  68°.  [ 

Hour  Angle. 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

Hour  Angle. 

It. 

lU. 

O  1 

0  1 

0  / 

0  1 

0  / 

0  / 

0  1 

0  / 

0  1 

0  r 

0  / 

0  / 

b.    ni. 

O 

OO 

i8o  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

iSo  00 

180  00 

180  00 

180  00 

0     00 

lO 

175  o6 

17458 

174  48 

174  38 

174  25 

174  12 

173  56 

173  39 

173  17 

172  53 

172  24 

171  49 

10 

20 

170  16 

169  58 

169  39 

169  17 

16854 

168  27 

167  57 

167  21 

166  41 

165  53 

164  57 

163  48 

20 

30 

165  27 

165  02 

164  34 

164  03 

163  28 

162  49 

162  05 

161  14 

160  16 

159  08 

157  48 

156  II 

30 

40 

160  44 

160  n 

159  35 

158  55 

158  10 

157  20 

156  24 

155  19 

154  06 

152  42 

151  01 

149  04 

40 

50 

156  08 

155  28 

154  44 

153  56 

153  03 

152  04 

150  56 

149  41 

148  15 

146  37 

144  42 

142  28 

50 

1 

OO 

151  39 

150  52 

150  03 

149  07 

148  07 

146  59 

145  44 

144  20 

142  44 

140  56 

138  51 

136  27 

1     00 

lO 

147  13 

146  26 

145  31 

144  31 

143  24 

142  10 

140  48 

«39  17 

137  34 

135  38 

133  27 

130  56 

10 

20 

143  05 

142  10 

141  10 

140  04 

138  53 

137  34 

136  07 

134  31 

132  43 

13043 

128  28 

125  55 

20 

30 

139  01 

138  02 

136  59 

135  50 

134  35 

133  13 

131  43 

130  02 

128  12 

126  10 

123  54 

121  21 

30 

40 

135  07 

134  05 

132  58 

131  47 

130  30 

129  04 

127  32 

125  50 

123  59 

121  57 

119  40 

117  10 

40 

50 

131  21 

130  17 

129  10 

127  56 

126  36 

125  II 

123  36 

121  54 

120  03 

118  01 

115  46 

113  19 

50 

2 

OO 

127  44 

126  38 

125  29 

124  15 

122  54 

121  27 

"9  53 

118  II 

116  20 

114  20 

112  08 

109  44 

2     00 

lO 

124  15 

123  09 

121  59 

120  43 

119  23 

"7  56 

116  22 

114  42 

112  52 

no  54 

iq8  45 

106  26 

10 

20 

120  55 

119  48 

118  38 

117  22 

116  01 

114  35 

113  03 

III  23 

109  36 

107  41 

105  35 

103  21 

20 

30 

117  41 

116  35 

"5  24 

114  09 

112  49 

III  23 

109  52 

108  14 

106  30 

104  37 

102  36 

100  26 

30 

40 

114  36 

113  29 

112  19 

III  04 

10945 

108  21 

106  51 

105  15 

103  32 

loi  44 

99  47 

97  41 

40 

50 

III  36 

no  30 

109  21 

108  07 

10649 

105  26 

103  58 

102  24 

100  45 

9859 

97  06 

95  05 

50 

3 

OO 

io8  43 

107  38 

106  29 

105  17 

103  59 

102  38 

loi  12 

99  41 

9805 

96  22 

94  32 

92  36 

3     00 

lO 

105  56 

104  50 

103  43 

102  32 

loi  16 

99  57 

9833 

97  04 

95  30 

93  50 

92  05 

90  II 

10 

20 

103  13 

102  10 

1 01  OT, 

99  52 

9839 

97  21 

96  00 

94  33 

93  02 

91  26 

89  44 

87  57 

20 

30 

loo  36 

99  33 

9828 

97  18 

96  06 

94  52 

93  31" 

92  07 
8947 

90  39 

8907 

87  28 

8545 

30 

1 

40 

98  02 

97  01 

95  57 

94  49 

93  39 

92  25 

91  08 
8849 

88  21 

86  51 

85  17 

83  37 

40 

50 

95  34 

94  33 

93  30 

92  24 

91  16 

90  04 

8730 

86  07 

84  40 

8309 

81  33 

50  1 

4 

OO 

93  09 

92  10 

91  08 

90  04 

88  58 

87  48 

S634 

85  16 

8356 

82  34 

81  05 

79  32 

4     00 

lO 

90  47 

89  49 

88  48 

8746 

86  41 

85  33 

84  22 

8307 

81  50 

go  29 

79  03 

77  34 

10 

ao 

88  28 

87  31 

8633 

85  32 

84  29 

83  23 

82  14 

81  01 

7946 

78  28 

77  05 

75  40 

20 

30 

86  13 

85  17 

84  20 

83  21 

82  19 

81  14 

80  08 

7858 

77  45 

76  30 

75  10 

73  48 

30 

40 

84  00 

8306 

82  10 

81  12 

80  12 

79  09 

7805 

76  57 

75  46 

74  33 

73  16 

71  57 

40 

50 

81  49 

8056 

80  02 

79  06 

78  07 

77  07 

7603 

7458 

73  50 

72  40 

71  24 

7008 

50 

5 

OO 

79  41 

7848 

77  56 

77  01 

76  04 

75  05 

74  04 

73  01 

71  55 

7046 

69  35 

68  20 

5     00 

lO 

77  34 

76  44 

75  52 

74  59 

74  04 

73  07 

72  07 

71  06 

70  02 

685b 

6746 

6635 

10 

20 

75  29 

74  40 

73  50 

72  58 

72  05 

71  10 

70  13 

69  12 

68  II 

67  07 

66  00 

64  51 

20 

30 

73  26 

7238 

71  49 

70  59 

70  07 

69  14 

68  18 

67  20 

66  21 

65  19 

64  14 

63  07 

30 

40 

71  24 

7038 

69  50 

69  02 

68  12 

67  19 

6625 

65  29 

64  31 

63  32 

62  29 

61  25 

40 

50 

69  24 

6839 

67  53 

67  06 

66  17 

65  27 

64  34 

63  40 

62  45 

61  46 

60  47 

59  45 

50 

1 

6 

OO 

67  25 

66  41 

65  57 

65  10 

64  23 

63  34 

62  44 

61  51 

60  57 

60  02 

59  03 

5803 

6     00 

lO 

65  27 

64  44 

64  01 

63  17 

62  31 

61  43 

60  54 

60  04 

59  " 

58  17 

57  21 

56  23 

10 

20 

63  30 

62  49 

62  07 

61  24 

60  40 

59  54 

59  06 

58  17 

57  27 

56  34 

55  41 

54  45 

20 

30 

61  34 

60  54 

60  13 

59  31 

5848 

58  03 

57  18 

56  30 

55  42 

54  52 

53  59 

53  06 

30 

40 

59  39 

5859 

5f  ^9 

57  39 

5658 

56  15 

55  31 

54  45 

5358 

53  10 

52  19 

51  28 

40 

50 

57  43 

57  06 

56  28 

55  48 

55  08 

54  27 

53  44 

53  01 

52  15 

51  29 

50  40 

49  50 

50 

7 

OO 

55  50 

55.13 

54  36 

5358 

53  19 

52  40 

5158 

51  16 

50  32 

49  47 

49  00 

48  12 

7     00 

lO 

53  56 

53  20 

52  44 

52  08 

51  31 

50  52 

50  12 

49  31 

48  49 

48  08 

47  22 

4635 

10 

20 

52  02 

51  28 

50  54 

50  18 

49  43 

49  06 

48  27 

47  48 

47  08 

46  26 

45  42 

44  58 

20 

30 

50  10 

49  37 

49  04 

48  30 

47  55 

47  20 

46  43 

46  05 

45  26 

44  46 

44  04 

43  22 

30 

40 

48  18 

47  46 

47  14 

46  42 

46  08 

45  33 

4458 

44  22 

43  44 

43  06 

42  25 

41  46 

.  40 

50 

46  26 

45  55 

45  24 

44  53 

44  21 

43  48 

43  14 

42  39 

42  03 

41  26 

40  48 

40  09 

50 

8 

OO 

44  33 

4404 

43  35 

43  05 

42  34 

42  02 

41  29 

4056 

40  21 

3946 

39  10 

38  33 

8    00  ! 

lO 

42  42 

42  14 

41  46 

41  17 

40  47 

40  17 

39  46 

39  14 

38  41 

38  07 

37  32 

36  57 

10 

20 

40  50 

40  23 

39  56 

39  29 

39  01 

3831 

38  01 

37  31 

37  00 

36  28 

35  55 

35  21 

20 

30 

3859 

38  33 

38  07 

37  41 

37  14 

36  47 

36  18 

35  49 

35  19 

34  49 

34  17 

33  44 

30 

40 

37  07 

36  44 

36  19 

35  54 

35  28 

35  02 

34  35 

34  07 

33  39 

33  10 

32  39 

3208 

40 

50 

35  16 

34  53 

34  30 

34  06 

33  42 

33  17 

32  51 

32  25 

31  58 

3f  30 

3«  02 

30  33 

50 

9 

OO 

33  25 

33  03 

32  41 

32  19 

31  56 

31  32 

31  08 

30  43 

30  17 

29  51 

29  24 

28  56 

9     00 

lO 

31  34 

31  13 

30  52 

30  31 

30  10- 

29  47 

29  24 

29  00 

28  36 

28  12 

27  46 

27  20 

10 

20 

29  43 

29  24 

29  04 

28  44 

28  23 

28  02 

27  41 

27  18 

26  56 

26  33 

26  09 

25  44 

20 

30 

27  51 

27  33 

27  15 

26  56 

26  37 

26  18 

25  57 

25  36 

25  15 

24  53 

24  31 

24  08 

30 

40 

26  00 

25  43 

25  26 

25  09 

24  51 

24  33 

24  14 

23  54 

23  34 

23  14 

22  53 

22  31 

40  ; 

50 

24  09 

23  54 

2338 

23  21 

23  04 

22  47 

22  29 

22  II 

21  53 

21  35 

21  15 

20  55 

50  , 

lO 

OO 

22  18 

22  03 

21  48 

21  33 

21  18 

21  03 

20  46 

20  29 

20  12 

19  55 

19  38 

19  19 

10     00 

lO 

20  27 

ao  13 

19  59 

1946 

19  32 

19  18 

19  03 

1847 

18  31 

18  15 

17  59 

17  43 

10 

20 

1835 

18  23 

18  II 

17  59 

17  46 

17  33 

17  19 

17  05 

16  51 

1636 

16  21 

16  06 

20  \ 

30 

16  44 

16  33 

16  22 

16  II 

15  59 

15  47 

15  35 

15  23 

15  10 

14  57 

14  43 

14  30 

30  1 

40 

14  52 

14  43 

14  33 

14  24 

14  13 
12  26 

14  02 

13  51 

n  40 

13  29 

13  17 

13  05 

12  54 

40 

50 

13  01 

12  53 

12  44 

12  35 

12  17 

12  08 

II  58 

II  48 

11  38 

II  28 

II  17 

50 

11 

OO 

II  10 

II  02 

10  54 

ID  47 

10  40 

10  32 

10  24 

ID  15 

10  07 

958 

9  49 

9  41 

11     00 

lO 

9  18 

9  12 

9  06 

9  00 

853 

8  47 

8  40 

8  34 

8  26 

§  18 

8  II 

8  03 

10 

20 

7  27 

7  22 

717 

7  12 

7  07 

7  02 

656 

6  50 

6  44 

638 

633 

627 

20 

30 

5  35 

5  31 

527 

5  24 

5  20 

5  16 

5  ^l 

5  07 

5  03 

4  59 

4  54 

4  50 

30 

40 

3  43 

3  40 

338 

3  36 

3  34 

3  31 

328 

3  25 

3  22 

3  19 

316 

3  13 

40 

50 

I  52 

I  51 

I  49 

I  48 

I  47 

I  45 

I  44 

I  43 

I  41 

I  40 

138 

I  37 

50 

la 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  ami 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


28a 


AZIMUTH   OR  TRUE  BEARING. 


1.ATITUDX:  68°. 

DECLINATION— SAME  NAME  AS— I^ATITUDE. 

LATITUDE  68°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

66° 

66° 

67° 

68° 

69° 

70° 

Honr  Angle. 

b. 

m. 

o  t 

0  / 

0  / 

0  ' 

0  / 

0  / 

0  / 

0  I 

0  1 

0  / 

0  / 

li.    m. 

O 

OO 

i8o  OO 

iSo  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0  00 

0    00 

lO 

171  04 

170  07 

168  52 

167  09 

164  36 

160  28 

152  49 

135  07 

88  50 

41  21 

22  58 

10 

20 

162  25 

160  37 

158  19 

155  12 

150  45 

144  04 

133  21 

115  16 

87  41 

59  04 

39  32 

20 

30 

:54  U 

151  49 

148  43 

144  40 

139  12 

131  37 

120  50 

105  43 

86  31 

6633 

49  53 

30 

40 

146  41 

143  48 

140  14 

135  42 

129  52 

122  18 

112  27 

99  59 

85  22 

70  08 

56  14 

40 

50 

139  50 

136  41 

132  50 

128  09 

122  22 

115  12 

106  26 

95  59 

84  12 

71  55 

60  II 

50 

1 

OO 

133  38 

130  21 

126  26 

121  48 

116  14 

109  37 

loi  50 

92  54 

83  02 

72  46 

62  42 

1     00 

lO 

128  03 

124  44 

120  52 

(i6  22 

III  07 

105  04 

9807 

90  20 

81  53 

73  03 

64  15 

10 

20 

123  02 

"9  45 

"5  59 

III  42 

106  48 

loi  14 

94  59 

88  07 

80  43 

73  00 

65  12 

20 

30 

118  30 

"5  17 

III  40 

107  36 

103  02 

97  56 

92  16 

86  07 

79  33 

72  41 

65  44 

30 

40 

114  22 

III  16 

107  48 

103  58 

99  42 

95  00 

89  51 

84  17 

78  23 

72  13 

65  55 

40 

50 

no  36 

107  37 

104  20 

100  42 

96  43 

92  22 

8739 

82  35 

77  13 

71  38 

65  52 

50 

2 

OO 

107  07 

104  16 

loi  08 

97  43 

93  59 

89  57 

8536 

80  58 

76  03 

70  55 

65  39 

2     00 

lO 

103  55 

lOI  II 

98  12 

94  59 

91  29 

87  44 

83  42 

79  24 

74  53 

70  10 

65  17 

10 

ao 

100  55 

98  18 

95  29 

92  26 

89  08 

8538 

81  53 

77  54 

73  42 

69  20 

64  49 

20 

30 

98  06 

95  36 

92  56 

90  02 

8657 

83  39 

80  09 

76  26 

72  32 

68  27 

64  15 

30 

40 

95  27 

93  04 

90  3Cf 

8747 

84  52 

81  45 

78  28 

75  00 

71  21 

67  32 

6336 

40 

50 

92  56 

90  40 

88  14 

8538 

82  53 

79  57 

76  51 

73  35 

70  10 

6637 

62  54 

50 

3 

OO 

90  33 

88  22 

86  03 

■  83  35 

80  58 

78  12 

75  17 

72  13 

6859 

6538 

62  09 

3     00 

lO 

88  15 

86  10 

83  57 

81  37 

79  07 

76  30 

73  45 

70  51 

67  48 

64  38 

61  21 

10 

ao 

8603 

84  03 

81  56 

79  42 

77  21 

74  52 

72  14 

69  30 

6637 

63  38 

60  30 

20 

30 

83  55 

82  01 

79  59 

77  51 

75  36 

73  15 

70  46 

68  09 

65  26 

62  35 

5938 

30 

40 

81  52 

80  01 

7806 

76  03 

73  55 

71  40 

69  18 

66  49 

64  14 

61  32 

58  43 

40 

50 

79  52 

78  06 

76  15 

74  18 

72  15 

70  06 

67  51 

65  30 

63  02 

60  28 

5748 

60 

4 

OO 

77  56 

76  14 

74  28 

72  36 

70  38 

6835 

66  26 

64  12 

61  50 

59  23 

56  51 

4     00 

lO 

76  02 

74  24 

72  41 

70  54 

69  02 

67  04 

65  01 

62  52 

60  38 

58  18 

55  52 

10 

20 

74  10 

72  36 

70  58 

69  16 

67  27 

65  35 

63  37 

61  34 

59  26 

57  12 

54  53 

20 

30 

72  21 

70  51 

69  16 

6738 

65  54 

64  07 

62  13 

60  16 

58  13 

S6  06 

53  52 

30 

40 

70  33 

69  07 

6736 

66  02 

64  22 

62  38 

60  51 

5858 

57  00 

5458 

52  50 

40 

50 

68  48 

67  24 

65  57 

64  26 

62  50 

61  12 

59  28 

57  40 

55  47 

53  50 

51  48 

50 

5 

OO 

67  03 

65  43 

64  19 

62  51 

61  20 

59  45 

58  06 

56  22 

54  34 

52  41 

50  44 

5     00 

lO 

65  20 

64  03 

62  42 

6i  18 

59  50 

58  19 

56  43 

55  05 

53  21 

51  33 

49  41 

10 

20 

63  38 

62  24 

61  07 

5946 

58  21 

56  53 

55  22 

53  46 

52  07 

50  23 

48  36 

20 

30 

61  58 

60  46 

59  31 

58  13 

56  52 

55  28 

54  00 

52  28 

50  53 

49  14 

47  30 

30 

40 

60  18 

59  09 

57  57 

56  42 

55  24 

54  03 

5238 

51  II 

49  39 

48  04 

46  23 

40 

60 

58  39 

57  33 

56  23 

55  II 

53  56 

5238 

51  17 

49  53 

48  25 

46  54 

45  17 

50 

6 

OO 

57  02 

55  57 

54  50 

53  40 

52  28 

51  13 

49  55 

48  34 

47  10 

45  42 

44  10 

6     00 

lO 

55  24 

54  22 

53  17 

52  10 

51  01 

49  49 

48  34 

47  16 

45  55 

44  31 

43  02 

10 

20 

53  47 

52  47 

51  46 

50  41 

49  34 

48  25 

47  13 

45  58 

44  40 

43  19 

41  55 

20 

30 

52  II 

51  12 

50  13 

49  II 

48  07 

47  01 

45  52 

44  40 

43  24 

42  06 

40  45 

30 

40 

50  33 

4938 

48  41 

47  41 

46  40 

45  36 

44  30 

43  21 

42  09 

40  54 

39  36 
38  27 

40 

50 

4858 

48  05 

47  10 

46  13 

45  13 

44  12 

43  08 

42  02 

40  53 

39  41 

50 

7 

OO 

47  23 

46  32 

45  39 

44  44 

43  47 

42  48 

41  47 

40  43 

39  37 

3828 

37  17 

7     00 

lO 

45  47 

44  58 

44  07 

43  15 

42  20 

41  23 

40  25 

39  24 

38  20 

37  14 

36  05 

10 

20 

44  13 

43  25 

42  36 

41  45 

40  53 

39  59 

39  02 

38  04 

37  03 

36  01 

34  55 

20 

30 

42  37 

41  53 

41  06 

40  17 

39  27 

38  35 

37  41 

36  45 

35  47 

34  46 

33  43 

30 

40 

41  03 

40  20 

39  35 

38  48 

38  00 

37  10 

36  19 

35  25 

34  30 

33  32 

32  31 

40 

60 

39  28 

38  47 

38  04 

37  20 

36  34 

35  46. 

34  57 

34  06 

33  12 

32  18 

31  19 

50 

8 

OO 

37  54 

37  14 

36  33 

35  51 

35  07 

34  21 

33  34 

32  45 

31  54 

31  02 

30  06 

8     00 

lO 

36  20 

35  42 

35  02 

34  22 

33  40 

32  57 

32  12 

31  25 

30  37 

29  47 

28  54 

10 
20 

20 

34  45 

34  09 

33  31 

32  53 

32  13 

31  32 

30  49 

30  05 

29  19 

28  31 

27  41 

30 

33  10 

32  36 

32  01 

31  24 

30  46 

30  07 

29  27 

28  45 

28  01 

27  15 

26  27 

30 

40 

31  37 

31  04 

30  30 

29  56 

29  19 

28  42 

28  03 

27  23 

26  42 

25  59 

25  14 

40 

50 

30  02 

29  31 

2859 

28  26 

27  52 

27  17 

26  41 

26  03 

25  23 

24  42 

24  00 

50 

9 

OO 

28  27 

27  59 

27  29 

26  57 

26  25 

25  51 

25  17 

24  41 

24  04 

23  26 

22  46 

9     00 
10 

lO 

26  52 

26  25 

25  57 

25  28 

24  58 

24  26 

23  54 

23  21 

22  46 

22  09 

21  31 

20 

25  19 

24  53 

24  26 

23  59 

23  30 

23  01 

22  30 

21  59 

21  26 

20  52 

20  17 

20 

30 

30 

23  45 

23  20 

22  54 

22  29 

22  03 

21  36 

21  07 

20  37 

20  06 

19  35 

19  02 

40 

22  09 

21  47 

21  24 

21  00 

20  35 

20  09 

19  42 

19  15 

1847 

18  17 

17  46 

40 

50 

20  34 

20  14 

19  52 

19  30 

19  07 

18  44 

18  19 

17  54 

17  27 

17  00 

16  31 

SO 

lO 

OO 

19  01 

18  41 

18  21 

18  01 

17  39 

17  17 

16  55 

16  32 

16  07 

15  42 

15  16 

10     00 

lO 

17  25 

17  07 

16  49 

16  31 

16  II 

15  51 

15  31 

15  09 

14  47 

14  24 

14  00 

10 
20 
30 
40 

20 

15  50 

15  35 

15  18 

15  01 

14  43 

14  25 

14  06 

13  47 

13  27 

13  06 

1243 

30 

14  16 

14  02 

13  47 

13  31 

13  15 

12  59 

12  42 

12  25 

12  07 

II  48 

II  28 

40 

12  40 

12  28 

12  15 

12  01 

II  47 

II  33 

II  18 

II  02 

10  46 

10  30 

10  12 

50 

II  06 

10  55 

10  44 

10  31 

10  18 

10  06 

9  53 

9  40 

9  26 

9  12 

8  56 

50 

11 

OO 

9  31 

9  21 

9  II 

9  01 

851 

8  40 

8  28 

8  17 

8  05 

7  52 

7  39 

11     00 

lO 

7  56 

7  48 

7  40 

7  31 

7  22 

7  13 

7  04 

655 

6  44 

6  34 

623 

10 
20 
30 
40 
50 
12     00 

20 

6  21 

6  15 

6  08 

6  01 

5  54 

5  47 

5  39 

5  31 

5  23 

5  15 

5  07 

30 

4  46 

4  41 

4  36 

4  31 

4  25 

4  20 

4  14 

4  08 

4  03 

3  57 

3  50 

40 

3  10 

3  07 

3  04 

3  01 

2  57 

2  53 

2  49 

2  45 

2  41 

2  37 

2  34 

50 

I  35 

I  34 

I  32 

1  30 

I  28 

I  27 

I  25 

I  23 

I  21 

I  19 

I  16 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

In  >'orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  recLuired  true  bearing. 


281 


AZIMUTH  OR  TRUE   BEARING. 


l^ATlTi;i»E  69= 


DECLINATION— SAME  NAME  AS— LATITUDE. 


liATITUDE  69°. 


Hour  Angle. 


O 


lO 


11 


12 


m. 

OO 

|io 

20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
60 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 

OO 
lO 
20 
30 
40 
50 
OO 


24°        25«> 


26° 


27° 


50  00 
76  46 

73  33 
7c  20 
67  07 
63  5^ 

60  47 
57  38 
54  31 

51  26 

48  22 
45  22 

42  23 

39  27 
36  32 

33  39 

30  50 

28  03 

25  18 
22  34 
19  53 
17  15 
14  39 
12  05 

09  32 
07  00 

04  31 
02  05 

99  39 
97  14 

94  51 
92  29 
90  09 
87  49 
85  30 
83  13 

80  56 
78  39 
76  2S 

74  09 
71  54 
69  41 

67  26 
65  12 
62  59 
60  47 
5833 
5621 

54  07 
51  55 

49  41 
47  28 
45  14 

43  01 

40  47 
38  33 
36  18 

34  04 

31  49 

29  34 


27  19 

25  03 

22  48 

20  32 

18  15 

15  58 

13  42 

11  25 

9  08 

651 

4  34 

2  18 

80  00  I 
76  44  ! 
73  29  j 

70  14 
67  00 

63  47 

60  35 

57  26 
54  17 
51  II 

48  06 

45  04 

42  04 

39  06 
36  II 
33  18 

30  27 

27  39 

24  54 
22  10 

19  28  ' 
16  50 

14  13 
II  38 

09  06 

06  34 1 
04  05 
01 38 

99  13  ; 
96  48 

94  25  ] 
92  03  , 
89  43 

87  24  ; 
85  05  i 

82  4& 

80  31 
78  15 
76  00 
73  45 

71  31 
69  17 

67  C4 

64  51 
62  38 

60  2S 

58  13 
56  01 

5348 

51  35 

49  24 
47  10 
44  58 
42  45 

40  31 
38  18 
36  04 
33  51 

31  36 
29  23 

27  08 

24  53 
22  39 

20  23 
18  08 

15  53 

13  37 
II  21 

9  05 
6  49 
4  32 
2  16 

O  CO 


80  00 

76  43 
73  25 

70  09 
66  52 

63  37 

60  24 

57  13 

54  03 

50  54 
47  48 
44  45 

41  44 
3845 
35  48 

32  55 

30  03 
27  15 

24  2S 

21  44 

19  02 

Ih  23 
13  46 
II  II 

08  38 
06  07 
03  38 
01  10 

98  45 
96  21 

93  58 
91  36 
89  16 
86  56 
84  38 
82  22 

80  06 

77  50 
75  35 
73  21 

71  oS 
6854 

66  41 

64  28 
62  16 
6d  05 
57  52 

55  40 

53  28 

51  17 
49  04  I 
46  53 
44  41 

42  29 

40  16 
38  04 
35  50 

33  38 

31  24 
29  II 

26  57 
24  44 

22  30 

20  16 
18  01 
15  46 

13  31 
II  16 
9  01 
6  46 
4  30 
2  16 
o  00 


80  00 

76  40 
73  21 
70  02 
66  44 

63  28 

60  12 
5659 
53  48 
50  37 

47  30 
44  26 

41  23 

38  23 
35  26 

32  31 
29  39 
26  49 

24  02 

21  17 
1835 
15  56 
13  iS 

10  42 

08  10 

05  39 
03  10 
00  43 
98  17 
95  53 

93  30 
91  09 
88  49 
86  30 
84  II 

81  56 

79  39 

77  23 
75  10 
72  56 
70  43 
68  30 

66  17 

64  05 

61  53 
59  42 
57  30 
55  19 

53  08 
50  57 

48  46 
46  35 
44  23 

42  12 

39  59 
3748 
35  36 

33  24 
31  11 
2859 

26  46 

24  33 

22  20 
20  07 
17  53 
15  40 

13  25 

11  II 
857 
643 
4  28 
2  14 
o  00 


28°        2»° 


30° 


31° 


180  00 
17638 

173  17 
169  56 
166  36 
163  17 

160  00 
156  45 
153  31 
150  20 
147  II 
144  05 

141  01 
138  00 
135  02 
132  06 
129  12  I 
126  23 

123  35 
120  50 
118  07 
115  28 
112  50 
no  15 

1 
107  41  i 
105  10  I 
102  40  ■ 

100  13  : 

97  48  i 
95  24  j 

93  01  i 
90  40 
88  20  I 
86  01  1 

83  44  I 
81  28  I 
I 
79  12  i 
76  57  ! 
74  44 
72  30 
70  18 
6805  I 

65  53 
63  42 
61  30 
59  20 
57  09 
54  59 

5248 ! 
50  37  i 

48  27  ! 
46  ;6 
44  06  i 
41  54 

39  44 
37  33 
35  22 
33  10 


30  59 

28 

47 

26 

36 

24 

23 

22 

II 

19 

58 

17  45 

15  33 

13 

20 

II 

07 

8 

M 

6 

40 

4  27 

2 

14 

0 

00 

80  00 

76  36 

3  12 
69  49 

66  27 
63  06 

59  48 
56  30 
53  15 
50  02 

46  52 
43  45 

40  39 

37  37 

34  37 

31  41 
2847 

25  56 

23  08 
20  22 

17  40 

15  OD 

12  22 
09  46 

07  12 
04  41 
02  12 

99  45 
97  20 
94  56 

92  33 
90  13 
87  52 
85  34 
83  17 

81  02 

78  46 
76  31 
74  18 
72  05 
69  53 

67  42 

65  30 
63  18 
61  08 
5859 
56  48 
5438 

52  27 
50  18 
48  08 
45  50 
43  48 

41  38 

39  28 
37  18 

35  08 

32  57 
30  46 
28  36 

26  24 

24  13 
22  02 

19  50 
17  38 
15  26 

13  15 
II  02 

850 

6  37 

4  25 


80  00 
76  33 
73  08 
69  42 

66  18 
6255 

59  34 
56  15 
52  58 
49  44 

46  32 
43  23 

40  16 

37  13 
34  13 

31  15 
28  20 

25  29 

22  39 

19  53. 
17  10 
14  29 

II  51 

09  17 

06  43 
04  II 
01  42 
99  14 
96  50 
94  26 

92  04 
8943 
87  24 
85  06 
82  49 
80  34 

78  18 
76  05 
73  53 
71  39 
69  28 

67  16 

65  06 
62  55 

60  45 
58  35 
56  26 
54  17 

52  07 
49  58 

47  49 
45  40 
43  31 

41  22 

39  12 
37  02 
34  53 

32  43 
30  33 
28  23 

26  14 
24  02 
21  52 
19  41 
17  31 
'5  19 

13  08 

10  57 
8  46 
635 
4  23 


80  00 

76  31 
73  03 
69  36 
66  09 
62  44 

59  21 

55  59 

52  40 
49  24 

46  10 
43  00 

39  52 
3648 

33  46 
30  47 

27  52 

25  CO 

22  10 
19  24 

16  40 

13  59 
II  21 
0844 

06  II 
03  40 
01  II 
9843 
96  19 

93  55 

91  33 
89  13 
86  54 
84  36 
82  19 
80  05 

77  50 
75  37 
73  25 
71  13 
69  01 
66  51 

64  41 
62  31 

60  21 
58  13 

56  04 

53  55 

51  46 
49  38 

47  29 
45  21 
43  12 
41  04 

3856 
36  46 

34  39 
32  20 
■?o  26 

28  II 

26  02 

23  52 
21  42 
19  33 

17  23 
15  12 

13  03 
10  52 
8  42 
631 
4  21 


32° 


180  00 
176  29 
172  58 
169  28 

165  59 
162  31 

159  06 

155  43 
152  22 

149  04 
145  48 
142  36 

139  27 
136  22 
133  20 
130  20 
127  23 
124  31 

121  41 

11853 
116  09 
113  28 
no  50 
108  14 

105  40 
103  08 
100  40 
98  13 
95  48 
93  25 

91  03 
8843 
86  25 
84  oS 
81  52 
79  37 

77  23 
75  10 
7258 
70  43 
6836 
66  26 

64  17 
62  06 

59  58 
57  50 
55  42 
53  34 

51  26 
49  18 
47  II 
45  02 
42  55 
40  47 

38  39 
36  32 
34  24 
32  16 
30  07 
27  59 

25  51 
23  42 
21  34 
19  24 
17  16 
15  06 

12  56 
10  48 
8  38 
6  28 

4  19 
2  09 
o  00 


33° 


80  00 
76  26 
72  52 

69  20 

65  49 

62  19 

58  52 
55  26 

52  03 
48  43 

45  26 
42  13 

39  °2 
35  54 
32  51 
29  51 

26  53 
23  59 

21  09 

18  21 
15  37 
12  55 
10  17 
07  41 

05  08 
02  36 
00  07 
97  41 
95  16 
92  53 

90  32 
88  II 
8554 
83  37 

81  21 

79  07 

76  54 
74  41 
72  31 

70  19 
68  10 

66  00 

63  51 
61  42 

59  33 
57  26 

55  19 

53  12 

51  04 
4858 

46  50 
44  44 
42  37 

40  30 

38  23 

56  16 
34  09 
32  02 
29  54 

27  47 

25  39 
23  31 
21  24 

19  16 
17  08 
14  59 

12  51 
10  43 
835 
6  26 
4  18 
2  09 
o  00 


34° 


80  00 
76  23 
72  47 
69  II 
6538 

62  06 

5835 
5508 

51  43 
48  21 

45  02 

41  47 

3835 
35  27 

32  22 
29  20 

26  22 
23  28 

20  37 
17  49 
15  05 
12  22 

09  43 
07  08 

04  34 
02  03 
99  34 
97  08 
94  43 
92  21 

89  59 
8741 
85  23 
83  07 
80  51 
7838 

76  25 
74  13 
72  03 
69  52 
67  42 

65  33 

63  25 
61  17 
59  09 
57  02 
54  56 

52  49 

50  43 
48  37 

46  31 
44  24 

42  19 
40  12 

3806 
35  59 

33  53 
31  48 
29  41 

27  34 

25  28 
23  20 

21  14 
19  <'7 
17  00 
14  52 

12  45 

10  38 
8  30 
6  23 
4  15 
2  07 
o  00 


35° 


80  00 
76  20 

72  41 
69  04 
65  27 

61  52 

5S  19 
54  49 

51  22 

47  57 
44  37 

41  20 

3807 

34  58 
31  51 

28  49 

25  50 

22  55 

20  03 

17  15 
14  30 

11  48 

09  09 
06  33 

04  00 
01  29 
99  00 
96  34 
94  10 
91  48 

89  27 
87  08 
84  52 
82  35 
80  21 
78  07 

75  55 

73  44 
71  34 
69  24 
67  14 
65  07 

62  59 
60  52 
5845 
5638 
54  33 

52  27 

50  21 

48  16 
46  10 

44  05 

42  00 

39  54 

37  49 

35  44 
33  38 
31  32 

29  27 
27  22 

25  16 

23  10 

il    05 

18  58 
16  52 
14   46 

12  40 

10  33 
827 
6  20 

4  13 
2  07 
o  00 


Hour  Angle. 


b. 

O 


10 


11 


12 


lu. 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 

00 
10 
20 
30 
40 
50 
00 


In  >orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  l>e  taken  for  the  required  true  bearing. 


282 


AZIMUTH  OR  TRUE   BEARING. 


liATITUBE  69°. 

DECLINATION- 

SAME  NAME  AS— LATITUDE. 

liATITUDE  69°. 

Hour  Angle. 

1.360 

37° 

38° 

39° 

40° 

41° 

4a° 

43° 

44° 

45° 

.46° 

47° 

1 

Hour  Angle. 

li. 

in. 

0   ' 

0  / 

0  ' 

0  ' 

0  > 

0  / 

0  / 

0  1 

0  / 

0  /  ! 

0  t 

0  / 

Ik.    ni. 

O 

OO 

I  So  OO 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00  j 

180  00 

180  00 

0     00 

10 

176  17 

176  14 

176  10 

176  07 

176  03 

175  59 

175  54 

175  50 

175  45 

175  40  1 

175  33 

175  27 

10 

ao 

172  35 

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5  45 

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3  55 

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3  50 

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40 

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50 

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0  00 

0  00 

0  00 

0  00 

0  00 

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la    00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  ri.sing  or  Ea.st  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


283 


AZIMUTH  OR  TRUE  BEARING. 


l,ATITl?l>E  69^. 

- 

DECLIXATION- 

-SAME  NAME  AS— LATITUDE. 

I.ATITUOE  69°. 

Hour  An 

s... 

48° 

49° 

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51° 

52°  , 

530 

1 
54° 

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58° 

59° 

Hour  Angle. 

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52  06 

51  33 

5058 

50  22 

49  47 

49  09 

48  31 

47  51 

47  09 

46  28 

45  44 

20 

30 

50  44 

50  13 

49  40 

49  07 

48  33 

47  59 

47  22 

46  45 

46  07 

4528 

44  47 

44  05 

30 

40 

48  50 

48  19 

4748 

47  16 

46  44 

46  10 

45  35 

45  00 

44  24 

43  46 

43  07 

42  26 

40 

50 

4656 

46  27 

45  57 

45  26 

44  54 

44  23 

43  50 

43  15 

42  41 

42  04 

41  27 

4048 

50 

8 

OO 

45  02 

44  34 

44  06 

43  36 

43  06 

42  35 

42  03 

41  30 

40  56 

40  22 

3946 

39  09 

8     00 

lO 

43  09 

42  43 

42  15 

41  46 

41  17 

4048 

40  17 

39  46 

39  15 

3841 

3807 

37  32 

10 

20 

41  16 

40  50 

40  24 

39  57 

39  29 

39  01 

3832 

38  03 

37  31 

36  59 

36  27 

35  54 

20 

30 

39  24 

38  59 

3834 

3807 

37  41 

37  15 

36  47 

36  19 

35  49 

35  19 

34  48 

34  15 

30 

40 

37  30 

37  07 

3643 

36  18 

35  53 

3528 

35  01 

34  34 

34  07 

3338 

3308 

32  38 

40 

SO 

35  37 

35  15 

34  53 

34  29 

34  06 

33  41 

33  16 

32  50 

32  24 

31  56 

31  29 

31  00 

50 

9 

OO 

33  45 

33  24 

33  02 

32  40 

32  17 

31  55 

31  31 

•  31  06 

30  41 

30  16 

29  49 

29  21 

9     00 

lO 

31  52 

31  32 

31  12 

30  51 

30  29 

30  08 

29  45 

29  23 

28  59 

2835 

28  10 

^^^ 

10 

20 

30  00 

89  42 

29  22 

29  03 

28  42 

28  22 

28  01 

27  39 

27  17 

26  54 

26  30 

20 

30 

28  08 

27  50 

27  32 

27  14 

26  55 

2636 

26  15 

25  55 

25  34 

25  13 

24  51 

24  29 

30 

40 

26  15 

25  59 

25  42 

25  25 

25  07 

24  49 

24  31 

24  12 

23  52 

23  32 

23  11 

22  51 

40 

30 

24  23 

2408 

23  52 

23  36 

23  20 

23  03 

22  46 

22  29 

22  10 

21  51 

21  33 

21  13 

SO 

lO 

OO 

22  30 

22  17 

22  02 

21  4$ 

21  32 

21  17 

21  01 

2045 

20  29 

20  II 

19  54 

19  35 

10     00 

lO 

20  38 

20  25 

20  12 

19  59 

1944 

19  30 

19  16 

19  01 

18  46 

18  29 

18  14 

17  57 

10 

20 

18  46 

1835 

18  21 

18  09 

17  56 

17  45 

17  41 

17  18 

17  04 

16  49 

16  35 

16  19 

20 

30 

16  53 

16  42 

16  32 

16  21 

16  09 

15  58 

15  46 

15  33 

15  22 

15  08 

14  56 

14  42 

30 

40 

15  01 

14  51 

14  42 

14  31 

14  22 

14  II 

14  01 

13  50 

13  39 

13  27 

13  16 

13  03 
II  26 

40 

50 

13  08 

13  00 

12  52 

12  42 

12  34 

12  25 

12  16 

12  06 

II  57 

II  47 

II  37 

SO 

11 

OO 

II  16 

II  09 

II  01 

10  53 

10  46 

10  39 

10  31 

10  22 

10  14 

10  06 

9  57 

948 

11     00 

lO 

9  23 

9  17 

9  It 

9  05 

8  59 

852 

8  46 

8  39 

832 

825 

8  18 

8  10 

10 

20 

7  31 

7  25 

7  21 

7!f 

7  II 

706 

7  00 

655 

6  50 

644 

\% 

632 

20 

30 

538 

5  34 

5  30 

5=^ 

5  24 

5  20 

516 

5  " 

5  07 

5  03 

4  54 

30 

40 

3  45 

3  43 

3  41 

338 

336 

3  33 

3  30 

3  28 

3  25 

3  23 

3  19 

3  16 

40 

50 

I  52 

I  51 

I  50 

I  49 

148 

I  47 

I  46 

I  44 

I  42 

I  41 

I  39 

138 

SO 

12 

OO 

0  00 

0  00 

0  OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  Xorth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


284 


AZIMUTH  OR  TRUE  BEARING. 


liATlXlJDX:  69°. 

DECLINATION— SAME  NAME  AS- 

-I,ATITUDE. 

liATITCIDE  69°. 

Hour  Angle. 

!  60° 

61° 

62° 

63° 

!  64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

h. 

ni. 

o  / 

0  / 

0  / 

0  / 

0  / 

0  I 

0  / 

0  / 

0  / 

0  / 

0  / 

II.      lU. 

O 

OO 

i8o  oo 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0  00 

0    00 

lO 

172  02 

171  20 

170  26 

169  13 

167  34 

165  07 

i6i  09 

153  44 

136  19 

88  50 

40  03 

10 

20 

164  16 

162  55 

161  12 

15858 

155  57 

151  39 

145  08 

134  33 

116  16 

07  40 

5756 

20 

30 

156  49 

154  58 

152  35 

149  35 

145  37 

140  17 

132  46 

121  56 

106  29 

86  30 

65  40 

30 

40 

149  49 

147  31 

144  43 

141  12 

136  45 

130  59 

123  24 

113  24 

100  34 

85  20 

69  25 

40 

50 

143  20 

140  45 

137  39 

133  53 

129  14 

123  26 

116  12 

107  15 

96  27 

84  10 

71  20 

60 

1 

OO 

137  21 

134  37 

131  21 

127  29 

122  51 

117  14 

no  31 

102  31 

93  16 

83  DO 

72  15 

1     00 

lO 

131  53 

129  02 

125  45 

121  53 

117  21 

112  03 

;o5  52 

9843 

90  39 

81  49 

72  36 

10 

20 

126  53 

124  01 

120  44 

116  57 

112  37 

107  39 

loi  57 

95  31 

88  22 

80  39 

72  34 

20 

30 

122  16 

119  26 

116  13 

112  35 

108  27 

103  48 

98  34 

92  44 

86  ao 

79  29 

72  19 

30 

40 

118  04 

115  17 

"2  °§ 

108  40 

104  46 

100  23 

95  34 

90  15 

84  29 

78  18 

71  51 

40 

60 

114  12 

III  28 

108  28 

105  07 

loi  26 

97  21 

92  53 

88  00 

82  43 

77  08 

71  16 

50 

2 

OO 

no  35 

107  57 

105  03 

loi  53 

98  23 

94  34 

9?  25 

85  55 

81  05 

75  57 

70  36 

2     00 

10 

107  14 

104  42 

loi  55 

9853 

95  35 

92  00 

88  08 

8357 

79  30 

74  47 

69  51 

10 

20 

104  05 

loi  39 

99  00 

96  07 

93  00 

8937 

86  00 

82  06 

77  58 

73  36 

69  02 

20 

30 

loi  09 

9847 

96  15 

93  31 

90  34 

87  22 

8359 

80  20 

76  29 

72  25 

68  10 

30 

40 

98  22 

96  06 

93  40 

91  03 

88  15 

85  15 

82  04 

7839 

75  02 

71  14 

67  15 

40 

50 

95  42 

93  32 

91  13 

8844 

86  04 

83  14 

80  13 

77  00 

73  37 

70  03 

66  19 

50 

3 

OO 

93  12 

91  07 

8853 

86  31 

83  59 

81  17 

78  26 

75  24 

72  12 

68  51 

65  21 

3     00 

lO 

90  47 

8846 

8639 

84  22 

81  58 

79  24 

76  42 

73  51 

70  50 

67  40 

64  22 

10 

20 

88  28 

86  32 

84  29 

82  20 

80  02 

77  36 

75  02 

72  19 

69  28 

66  28 

63  20 

20 

30 

86  13 

84  22 

82  25 

80  20 

7809 

75  50 

73  24 

70  49 

68  07 

65  17 

62  18 

30 

40 

84  03 

82  17 

So  24 

78  25 

76  20 

74  07 

71  48 

69  21 

66  46 

64  05 

61.16 

40 

60 

81  57 

80  15 

78  27 

76  33 

74  33 

72  26 

70  13 

67  53 

65  26 

62  53 

60  12 

50 

4 

OO 

79  55 

78  17 

76  33 

74  44 

72  49 

70  48 

68  40 

66  27 

64  07 

61  40. 

59  08 

4     00 

lO 

77  56 

76  21 

74  41 

72  56 

-  71  06 

69  10 

67  09 

65  01 

62  48 

60  28 

58  02 

10 

20 

76  00 

74  27 

72  52 

71  II 

69  25 

67  35 

65  39 

6336 

61  28 

59  n 

5656 

20 

30 

74  05 

72  37 

71  05 

69  28 

67  47 

66  00 

64  09 

62  12 

60  10 

58  02 

55  49 

30 

40 

72  13 

70  48 

69  20 

67  47 

66  09 

64  27 

62  41 

60  48 

58  52 

56  50 

54  42 

40 

60 

70  23 

69  01 

6736 

66  06 

64  33 

62  55 

61  13 

59  25 

57  34" 

55  36 

53  35 

50 

5 

OO 

68  34 

67  15 

65  54 

64  27 

62  57 

61  23 

59  46 

58  02 

56  15 

54  23 

52  26 

5     00 

lO 

66  47 

65  31 

64  13 

62  50 

61  23 

59  53 

58  18 

50  39 

54  57 

53  09 

51  17 

10 

20 

65  02 

63  49 

62  32 

61  13 

59  50 

58  23 

56  53 

55  18 

53  39 

51  55 

50  08 

20 

30 

63  17 

62  07 

60  54 

59  37 

58  17 

56  53 

55  27 

53  55 

52  20 

50  41 

4858 

30 

40 

61  34 

60  26 

59  15 

58  02 

56  44 

55  24 

54  00 

52  33 

51  02 

49  27 

47  48 

40 

50 

59  52 

58  46 

57  37 

56  27 

55  13 

53  56 

52  35 

51  II 

49  44 

48  13 

46  38 

50 

6 

OO 

58  II 

57  06 

56  02 

54  53 

53  42 

52  27 

■  51  11 

49  49 

48  26 

4658 

45  26 

6     00 

lO 

56  30 

55  28 

54  25 

53  19 

52  II 

50  59 

49  46 

48  27 

47  07 

45  43 

44  15 

10 

20 

54  50 

53  51 

52  50 

51  47 

50  40 

49  32 

48  21 

47  06 

45  49 

44  28 

43  04 

20 

30 

53  10 

52  13 

51  15 

50  14 

49  II 

48  05 

46  56 

45  44 

44  30 

43  12 

41  52 

30 

40 

51  32 

50  36 

49  41 

4842 

47  41 

46  37 

45  31 

44  22 

43  12 

41  57 

40  39 

40 

50 

49  53 

49  00 

48  06 

47  10 

46  II 

45  10 

44  08 

43  00 

41  53 

40  41 

39  26 

50 

7 

OO 

48  15 

47  24 

46  32 

4538 

44  42 

43  43 

42  42 

41  39 

40  34 

39  25 

38  13 

7     00 

lO 

46  37 

45  48 

44  59 

44  06 

43  12 

42  16 

41  18 

40  17 

39  '4 

38  08 

37  00 

10 

20 

44  59 

44  13 

43  25 

42  35 

41  43 

40  49 

39  54 

38  55 

37  55 

36  52 

35  47 

20 

30 

43  23 

42  38 

41  51 

41  04 

40  14 

39  23 

38  29 

37  33 

3636 

35  35 

34  33 

30 

40 

41  45 

41  02 

40  19 

39  32 

38  45 

37  55 

37  05 

36  11 

35  16 

34  18 

33  18 

40 

60 

40  09 

39  27 

3845 

38  02 

37  16 

36  29 

35  41 

34  49 

33  57 

33  01 

32  04 

50 

8 

OO 

3831 

37  53 

37  12 

■  36  30 

35  47 

35  02 

34  16 

33  26 

32  36 

31  44 

30  50 

8     00 

lO 

3656 

36  18 

35  40 

34  59 

34  18 

33  35 

32  51 

32  04 

31  17 

30  26 

29  35 

10 

20 

35  19 

34  44 

34  07 

33  29 

32  50 

32  08 

31  26 

30  41 

29  57 

29  09 

28  19 

20 

30 

33  43 

3308 

32  34 

31  58 

31  20 

30  41 

30  01 

29  19 

28  36 

27  51 

27  04 

30 

40 

32  06 

31  34 

31  02 

30  27 

29  51 

29  14 

28  37 

27  57 

25*35 

26  32 

25  48 

40 

50 

30  30 

29  59 

29  28 

28  55 

28  22 

27  47 

27  II 

26  34 

.25  14 

24  32 

60 

» 

OO 

2854 

28  25 

27  55 

27  25 

26  53 

26  20 

25  46 

25  10 

24  34 

23  55 

23  15 

9     00 

lO 

27  18 

26  50 

26  23 

25  54 

25  24 

24  52 

24  20 

23  47 

23  13 

22  37 

22  00 

10 

20 

25  42 

25  16 

24  50 

24  23 

23  55 

23  26 

22  56 

22  24 

21  52 

21  1$ 

20  43 

20 

30 

24  05 

23  41 

23  17 

22  52 

22  26 

21  58 

21  30 

21  00 

20  31 

19  59 

19  26 

30 

40 

22  29 

22  07 

21  45 

21  21 

20  56 

20  31 

20  04 

1936 

19  09 

18  40 

18  09 

40 

60 

20  53 

20  32 

20  II 

19  49 

•  19  27 

19  03 

18  38 

18  14 

17  48 

17  20 

16  52 

50 

lO 

OO 

19  17 

18  58 

18  39 

18  18 

17  57 

17  35 

17  13 

16  50 

16  26 

16  01 

15  35 

10     00 

lO 

17  40 

17  23 

17  05 

16  47 

16  27 

16  08 

15  48 

15  26 

15  04 

14  41 

14  17 

10 

20 

16  05 

15  49 

15  32 

15  15 

14  58 

14  40 

14  22 

14  03 

13  42 

13  22 

13  00 

20 
30 

30 

14  29 

14  14 

14  00 

13  44 

13  29 

13  12 

12  56 

12  38 

12  20 

12  02 

11  42 

40 

12  51 

12  39 

12  26 

12  13 

II  58 

II  44 

II  30 

II  14 

10  58 

10  42 

10  25 

40 

50 

II  15 

II  04 

10  53 

10  41 

10  29 

ID  16 

10  03 

9  50 

9  37 

9  22 

9  07 

50 

11 

OO 

938 

9  30 

9  20 

9  09 

859 

8  48 

837 

8  26 

8'  14 

8  02 

7  49 

11     00 

10 

8  03 

7  54 

7  46 

738 

7  29 

7  21 

7  12 

7  02 

652 

6  41 

631 

10 

20 

6  26 

6  20 

6  13 

6  07 

6  00 

5  53 

5  46 

5  37 

5  29 

5  21 

5  12 

20 

30 

4  49 

4  45 

4  40 

4  35 

4  30 

4  24 

4  19 

4  14 

4  07 

4  01 

3  54 

30 

40 

3  13 

3  10 

3  07 

3  03 

2  59 

256 

2  52 

2  49 

2  45 

2  41 

236 

40 

SO 

I  37 

I  35 

I  33 

I  32 

I  30 

I  28 

I  26 

r  25 

I  23 

I  20 

1  18 

50 

la 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  CO 

[  0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  Eas*  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


285 


AZIMUTH    OR    TRUE    BEARING. 


I.ATITI;I>JB:  70°. 

DECLINATION- 

-SAME  NAME  AS— LATITUDE. 

latitude:  70°. 

Hour  Angle. 

a4° 

35° 

a6° 

37° 

38° 

39° 

30° 

31° 

33° 

33° 

34° 

35° 

Hour  Angle. 

li. 

in. 

o   / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  / 

0  1 

0  / 

0  / 

0  / 

0  , 

It.      Ul. 

o 

OO 

i8o  oo 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

176  49 

176  48 

176  46 

176  44 

176  42 

176  40 

176  38 

176  36 

176  33 

176  31 

176  29 

176  26 

10 

20 

173  40 

173  36 

173  32 

173  28 

173  25 

173  21 

173  17 

173  12 

173  07 

173  02 

172  57 

172  52 

20 

30 

170  29 

170  24 

170  19 

170  14 

170  08 

170  02 

169  56 

169  49 

i6§  42 

169  34 

169  27 

169  20 

30 

40 

167  20 

167  13 

167  06 

166  59 

166  51 

166  43 

16635 

i66  26 

166  17 

166  08 

16558 

165  47 

40 

50 

164  13 

164  04 

16355 

163  46 

163  36 

163  26 

163  16 

163  05 

162  54 

162  43 

162  31 

162  18 

50 

1 

OO 

161  06 

160  55 

160  45 

160  34 

160  23 

160  II 

159  58 

159  46 

159  33 

159  19 

159  05 

158  50 

1    00 

lO 

158  00 

157  48 

157  36 

157  23 

157  10 

156  57 

156  43 

156  28 

156  13 

15558 

155  41 

155  24 

10 

20 

154  56 

154  42 

154  28 

154  14 

154  00 

153  45 

153  29 

153  13 

152  56 

152  38 

152  20 

152  00 

20 

30 

151  52 

151  37 

151  22 

151  07 

150  51 

150  34 

150  17 

150  00 

149  41 

149  22 

149  01 

148  40 

30 

40 

148  52 

148  35 

148  19 

148  02 

147  45 

147  27 

147  08 

146  48 

146  28 

146  08 

145  46 

145  23 

40 

50 

145  52 

145  35 

145  18 

144  59 

144  41 

144  21 

144  01 

143  41 

143  19 

142  57 

142  33 

142  09 

50 

2 

OO 

142  55 

142  37 

142  18 

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141  39 

141  19 

140  57 

140  35 

140  12 

139  48 

139  23 

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140  00 

139  40 

139  21 

139  01 

138  40 

138  17 

137  55 

137  33 

137  08 

136  43 

136  17 

135  50 

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137  07 

136  47 

136  26 

136  05 

135  42 

135  20 

135  56 

134  32 

134  07 

133  41 

133  14 

132  45 

30 

30 

134  15 

133  55 

133  33 

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132  48 

132  25 

132  00 

131  35 

131  .08 

130  41 

130  13 

129  44 

30 

40 

131  26 

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130  42 

130  19 

129  55 

129  31 

129  06 

128  40 

128  13 

127  45 

127  16 

126  46 

40 

50 

1 28  40 

128  18 

127  54 

127  30 

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126  15 

125  48 

125  21 

124  53 

124  23 

123  51 

50 

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125  55 

125  32 

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124  44 

124  19 

123  53 

123  26 

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122  31 

122  03 

121  32 

121  00 

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123  12 

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122  24 

122  00 

121  34 

121  08 

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120  13 

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120  07 

119  42 

119  17 

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118  25 

117  57 

117  29 

117  00 

116  30 

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115  16 

114  48 

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113  48 

113  17 

112  45 

30 

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115  16 

114  51 

114  26 

114  00 

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113  07 

112  38 

112  09 

III  39 

III  09 

no  37 

no  05 

40 

50 

112  41 

112  16 

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III  24 

no  57 

110  30 

no  01 

109  33 

109  03 

108  32 

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107  28 

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109  43 

109  17 

108  50 

108  24 

107  57 

107  28 

106  59 

106  29 

105  58 

105  26 

104  54 

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107  36 

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106  46 

106  19 

105  51 

105  23 

104  56 

104  27 

103  56 

103  26 

112  54 

102  22 

10 

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105  07 

104  41 

104  16 

103  49 

103  22 

102  54 

102  25 

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100  56 

100  24 

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30 

102  39 

102  13 

loi  47 

loi  20 

100  53 

100  26 

99  57 

99  28 

98  59 

98  29 

97  57 

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30 

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100  13 

99  46 

99  21 

9854 

9827 

97  59 

97  31 

97  03 

96  33 

96  03 

95  31 

94  59 

40 

50 

97  47 

97  21 

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96  29 

96  02 

95  34 

95  06 

94  38 

94  08 

93  39 

93  07 

92  35 

50 

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95  23 

94  57 

94  31 

94  05 

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92  42 

92  14 
89  53 

91  45 

91  16 

90  45 

90  13 

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93  00 

92  35 

92  09 

91  42 

91  15 

90  49 

90  21 

89  23 

8854 

88  24 

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10 

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90  13 

89  43 

89  21 

88  55 

88  29 

88  01 

87  33 

87  04 

8635 

86  05 

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30 

88  17 

87  52 

87  27 

87  01 

86  35 

86  08 

85  41 

85  13 

84  45 

84  17 

8347 

83  16 

30 

40 

8557 

85  32 

85  07 

84  42 

84  16 

83  49 

83  22 

82  55 

82  27 

81  59 

81  30 

81  00 

40 

50 

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83  15 

82  49 

82  24 

81  59 

81  33 

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79  44 

79  15 

78  46 

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80  32 

80  07 

79  42 

79  16 

7850 

78  24 

77  56 

77  30 

77  01 

76  32 

6     00 

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79  02 

7839 

78  15 

77  50 

77  25 

77  00 

76  35 

76  09 

75  42 

75  15 

74  47 

74  18 

10 

20 

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76  23 

76  00 

75  35 

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74  46 

74  21 

73  55 

73  29 

73  02 

72  35 

72  07 

30 

30 

74  30 

74  07 

73  44 

73  20 

72  56 

72  32 

72  06 

71  41 

71  16 

70  50 

70  24 

6956 

30 

40 

72  14 

71  51 

71  29 

71  05 

70  41 

70  18 

69  53 

69  28 

69  04 

6839 

68  13 

67  46 

40 

50 

69  59 

69  37 

69  14 

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68  28 

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67  41 

67  17 

66  52 

66  28 

66  02 

6536 

50 

7 

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67  44 

67  22 

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66  38 

66  15 

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64  17. 

63  52 

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63  39 

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62  30 

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61  42 

61  17 

10 

20 

63  14 

62  54 

62  32 

62  11 

61  50 

61  28 

61  05 

60  43 

60  20 

59  58 

59  34 

59  10 

30 

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61  01 

60  40 

60  20 

59  59 

59  38 

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57  49 

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56  22 

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56  13 

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55  34 

55  14 

54  54 

54  34 

54  13 

53  53 

53  31 

53  10 

52  48 

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53  59 

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49  33 

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30 

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44  16 

43  59 

43  42 

43  25 

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42  51 

42  33 

42  14 

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42  52 

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42  05 

41  49 

41  32 

41  16 

40  59 

40  43 

40  25 

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50 

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40  38 

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40  08 

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3641 

36  27 

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36  10 

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35  43 

35  30 

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35  02 

34  47 

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34  19 

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33  50 

30 

30 

34  08 

33  56 

33  43 

33  30 

33  17 

33  04 

32  50 

32  37 

32  25 

32  II 

31  57 

31  43 

30 

40 

31  53 

31  42 

31  29 

31  17 

31  04 

30  52 

30  40 

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30  15 

30  03 

29  ?fi 

29  36 

40 

50 

29  38 

29  26 

29  15 

29  04 

28  53 

28  41 

28  29 

28  18 

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27  55 

27  43 

27  30 

50 

10 

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27  22 

27  12 

27  01 

26  51 

26  40 

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26  19 

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25  46 

25  34 

25  23 

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25  06 

24  56 

24  46 

24  36 

24  27 

24  17 

24  07 

23  57 

23  48 

23  38 

23  27 

23  17 

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ao 

22  50 

22  41 

22  32 

22  23 

22  14 

22  06 

21  57 

21  48 

21  39 

21  29 

21  20 

21  10 

30 

30 

20  33 

20  26 

20  18 

20  10 

20  02 

19  54 

19  46 

19  38 

19  29 

19  21 

19  12 

19  04 

30 

18 

18  17 

18  10 

18  02 

17  55 

17  48 

17  41 

17  34 

17  27 

17  20 

17  12 

17  04 

16  57 

40 

16  00 

15  54 

15  48 

15  42 

15  35 

15  29 

15  23 

15  16 

15  10 

15  03 

14  56 

14  50 

50 

11 

oo 

13  43 

13  38 

13  33 

13  27 

13  22 

13  16 

13  10 

13  05 

13  00 

12  54 

12  49 

12  43 

11     00 

lO 

II  26 

II  22 

II  18 

II  13 

11  08 

II  04 

10  59 

10  54 

10  50 

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10  36 

10 

ao 

9  09 

9  05 

9  02 

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847 

8  44 

8  40 

8  36 

832 

8  28 

ao 

30 

652 

6  50 

6  47 

6  44 

6  41 

6  38 

636 

633 

6  30 

627 

624 

6  21 

30 

40 

.  4  35 

4  33 

4  31 

4  29 

4  23 

4  26 

4  24 

4  22 

4  20 

4  18 

4  16 

4  14 

40 

50 

2  18 

2  17 

2  16 

2  15 

2  14 

2  13 

2  12 

2  II 

2  10 

2  09 

2  08 

2  07 

50 

18 

oo 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

6  00 

0  00 

13     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sooth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  t  e  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


286 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  70°. 

DKCI^INATION- 

-SAME  NAME  AS— I^ATITUDE. 

liATITUDE  70°. 

Hoar  Angle. 

36° 

37° 

38° 

3»° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

Hour  Angle. 

li. 

m. 

o  / 

0  / 

0  / 

0  1 

0  ' 

0  / 

0  / 

0  / 

0  / 

0  ' 

0  / 

0  / 

li.     m. 

o 

oo 

l8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

10 

176  23 

176  20 

176  17 

176  14 

176  10 

176  06 

176  03 

175  59 

175  54 

175  49 

175  44 

175  39 

10 

20 

172  47 

172  41 

172  35 

172  28 

172  21 

172  14 

172  06 

171  57 

171  49 

171  39 

171  29 

171  17 

20 

30 

169  II 

169  02 

168  54 

168  44 

16833 

168  22 

168  II 

167  59 

167  45 

167  32 

167  16 

166  59 

30 

40 

165  36 

165  25 

165  13 

165  00 

164  47 

164  32 

164  18 

164  02 

163  44 

163  26 

163  06 

162  44 

40 

SO 

162  04 

161  50 

161  35 

161  20 

161  03 

160  45 

160  27 

160  07 

159  46 

159  23 

158  59 

15832 

SO 

1 

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158  34 

158  17 

158  00 

157  41 

157  22 

157  01 

156  40 

156  17 

155  51 

155  25 

154  56 

154  26 

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155  06 

154  47 

154  27 

154  05 

153  44 

153  20 

152  55 

152  29 

152  01 

151  31 

150  59 

150  24 

10 

20 

151  40 

151  20 

150  58 

150  34 

150  10 

149  43 

149  16 

148  46 

148  15 

147  42 

147  07 

146  29 

20 

30 

148  18 

147  55 

147  31 

147  05 

146  38 

146  09 

145  39 

145  08 

144  34 

143  58 

143  20 

142  39 

30 

40 

144  59 

144  34 

144  08 

143  40 

143  II 

142  41 

142  aS 

141  34 

140  59 

140  19 

139  39 

138  56 

40 

50 

141  43 

141  16 

140  49 

140  19 

139  49 

139  16 

138  41 

138  06 

137  27 

136  47 

136  04 

135  19 

SO 

2 

OO 

138  30 

138  02 

137  32 

137  02 

136  30 

135  56 

135  19 

134  42 

134  02 

133  20 

132  35 

131  47 

2     00 

lO 

135  21 

134  52 

134  21 

133  49 

133  15 

132  40 

132  03 

131  24 

130  42 

129  59 

129  13 

128  24 

10 

20 

132  16 

131  46 

131  13 

130  40 

130  05 

129  29 

128  50 

128  ID 

127  28 

126  43 

125  56 

125  06 

20 

30 

129  13 

128  42 

128  09 

127  35 

126  59 

126  22 

125  42 

125  01 

124  18 

123  32 

122  44 

121  54 

30 

40 

126  15 

125  43 

125  09 

124  33 

123  57 

123  19 

122  38 

121  57 

121  13 

120  27 

119  38 

118  47 

40 

50 

123  20 

122  46 

122  12 

121  37 

121  00 

120  21 

119  40' 

118  57 

118  13 

117  27 

116  37 

115  46 

50 

3 

OO 

120  28 

"9  54 

119  20 

118  44 

118  06 

H7  27 

116  46 

116  03 

115  18 

"4  31 

113  42 

112  50 

3     00 

lO 

"7  39 

117  05 

116  29 

"5  53 

115  15 

114  36 

113  55 

113  II 

112  26 

III  39 

no  51 

109  59 

10 

20 

"4  53 

114  19 

"3  44 

113  07 

112  28 

III  49 

III  07 

no  24 

109  40 

108  53 

108  04 

107  13 

20 

30 

112  II 

III  36 

III  00 

no  24 

109  45 

109  05 

108  25 

107  41 

106  57 

106  10 

105  21 

104  30 

30 

40 

109  31 

109  56 

108  21 

107  44 

107  06 

106  26 

105  45 

105  01 

104  17 

103  31 

102  43 

loi  53 

40 

50 

106  54 

106  20 

105  44 

105  07 

104  29 

103  50 

103  08 

102  26 

loi  41 

100  56 

100  08 

99  18 

SO 

4 

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104  21 

103  45 

103  10 

102  34 

loi  56 

loi  17 

100  36 

99  54 

99  lo 

9824 

97  38 

96  48 

4     00 

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1 01  48 

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100  37 

100  01 

99  24 

■9845 

98  04 

97  22 

9639 

95  54 

95  08 

94  20 

10 

20 
30 

99  18 

98  44 

98  09 

97  33 

9656 

96  17 

95  37 

94  56 

94  13 

93  29 

92  43 

91  55 

20 

96  51 

96  17 

95  43 

95  06 

94  29 

94  51 

93  12 

92  31 

91  49 

91  05 

90  20 

89  33 

30 

40 

94  26 

93  52 

93  IS 

92  43 

92  06 
89  44 

91  28 

90  49 

90  09 

89  27 

8845 

88  00 

87  14 

40 

50 

92  03 

91  29 

90  55 

90  20 

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88  29 

87  49 

8709 

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8543 

84  58 

SO 

5 

OO 

89  41 

89  08 

8834 

88  00 

87  24 

86  48 

86  10 

85  31 

84  51 

84  10 

83  27 

82  42 

5     00 

lO 

87  21 

86  49 

86  15 

8541 

85  06 

84  30 

83  53 

83  15 

8b  36 

81  55 

81  13 

80  30 

10 

20 

85  03 

84  30 

8358 

8324 

82  50 

82  15 

81  38 

81  01 

80  23 

79  43 

79  02 

78  19 

20 

30 

82  46 

82  14 

81  42 

81  09 

8035 

80  00 

79  24 

7848 

78  10 

77  31 

76  51 

76  10 

30 

40 

80  30 

79  59 

79  27 

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78  21 

77  47 

77  12 

76  37 

76  00 

75  22 

74  43 
72  36 

74  02 

40 

SO 

78  16 

77  45 

77  14 

76  43 

76  10 

75  36 

75  02 

74  27 

73  51 

73  14 

71  57 

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6 

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76  02 

75  32 

75  02 

74  31 

73  59 

73  27 

72  53 

72  19 

71  44 

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73  50 

73  21 

72  50 

72  20 

71  49 

71  17 

7044 

70  10 

6936 

69  01 

6825 

67  48 

10 

20 

V  ^°c. 

71  II 

70  41 

70  12 

69  41 

69  09 

6837 

68  05 

67  32 

6658 

66  22 

65  45 

20 

30 

69  28 

69  00 

68  32 

68  03 

67  32 

67  02 

6632 

65  59 

65  27 

64  53 

64  19 

63  43 

30 

40 

67  18 

66  51 

66  23 

6555 

65  25 

6456 

64  26 

63  54 

63  23 

62  50 

62  18 

61  42 

40 

50 

65  10 

64  43 

64  15 

6348 

63  19 

62  51 

62  21 

61  51 

61  20 

60  49 

60  17 

59  43 

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7 

00 

63  02 

62  35 

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61  42 

61  14 

60  46 

60  17 

59  48 

59  18 

5848 

58  16 

57  43 

7     00 

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6053 

60  27 

60  01 

59  36 

5908 

58  41 

58  14 

57  46 

57  16 

5646 

56  16 

55  45 

10 

20 

5846 

58  21 

57  56 

57  30 

57  04 

5638 

56  11 

55  44 

55  15 

54  47 

54  17 

53  47 

20 

30 
40 
50 

56  39 

56  15 

55  50 

55  25 

55  01 

54  35 

54  08 

53  42 

53  15 

52  47 

52  18 

51  49 

30 

54  33 

54  09 

53  45 

53  21 

52  57 

52  33 

52  07 

51  41 

51  15 

5049 

50  21 

49  53 

40 

52  25 

52  03 

51  40 

51  17 

50  54 

50  30 

50  06 

49  41 

49' 15 

48  50 

48  24 

47  56 

SO 

8 

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50  19 

49  58 

49  36 

49  13 

48  50 

48  27 

48  04 

47  40 

47  16 

46  51 

46  26 

45  59 

8     00 

lO 
20 
30 

48  13 

47  53 

47  32 

47  10 

46  48 

46  26 

46  03 

45  40 

45  17 

44  53 

44  29 

44  03 

10 

46  07 

45  47 

45  27 

45  06 

44  45 

44  25 

44  03 

43  40 

43  18 

42  56 

42  32 

42  07 

20 

44  02 

43  43 

43  23 

43  03 

42  44 

42  23 

42  02 

41  41 

41  20 

40  57 

40  35 

40  12 

30 

40 

41  57 

41  38 

41  19 

41  01 

40  41 

40  21 

40  01 

39  41 

39  21 

39  00 

38  39 

38  16 

40 

50 

39  51 

39  34 

39  16 

3858 

38  39 

38  21 

38  02 

37  43 

37  23 

37  03 

36  43 

36  22 

SO 

» 

OO 

37  46 

37  28 

37  11 

36  54 

36  37 

.36  20 

36  02 

35  43 

35  24 

35  05 

34  46 

34  26 

9     00 

lO 

35  40 

35  24 

3508 

34  52 

34  35 

34  18 

34  01 

33  43 

33  26 

33  08 

32  50 

32  31 

10 

20 

33  35 

33  20 

33  04 

32  49 

32  34 

32  17 

32  01 

31  45 

31  28 

31  12 

30  55 

30  37 

20 

30 

31  29 

31  15 

31  01 

30  46 

30  32 

30  16 

30  01 

29  46 

29  30 

29  14 

28  58 

28  42 

30 

40 

29  23 

29  II 

2857 

28  43 

28  29 

28  15 

28  01 

27  47 

27  32 

27  17 

27  02 

26  47 

40 

50 

27  18 

27  05 

26  53 

26  40 

26  28 

26  15 

26  01 

2548 

25  34 

25  21 

25  07 

24  52 

SO 

lO 

OO 

25  13 

25  01 

24  50 

24  38 

24  26 

24  13 

24  02 

23  49 

23  37 

23  24 

23  11 

22  57 

10     00 

lO 

23  07 

22  56 

22  45 

22  34 

22  24 

22  12 

22  02 

21  50 

21  38 

21  27 

21  15 

21  02 

10 

20 

21  01 

20  52 

20  42 

20  32 

20  22 

20  12 

20  02 

19  51 

19  41 

19  29 

19  19 

19  08 

20 

30 

1855 

18  47 

18  38 

18  29 

18  20 

18  II 

18  02 

17  53 

17  43 

17  33 

17  23 

17  14 

30 

40 

16  49 

16  42 

16  34 

16  26 

16  18 

16  10 

16  02 

15  53 

15  45 

15  36 

15  27 

15  18 

40 

50 

14  43 

14  36 

14  30 

14  22 

14  15 

14  09 

14  02 

13  54 

13  46 

13  39 

13  31 

13  24 

SO 

11 

OO 

12  38 

12  31 

12  25 

12  19 

12  13 

12  07 

12  01 

II  55 

II  49 

II  42 

II  35 

n  29 

11     00 

lO 

10  31 

10  26 

10  21 

10  16 

10  II 

10  06 

10  01 

9  56 

9  50 

9  45 

9  40 

9  34 

10 

20 

I   =*§ 

8  21 

8  17 

813 

8  09 

8  05 

8  01 

756 

7  52 

7  48 

7  44 

7  40 

20 

30 

6  18 

6  16 

6  13 

6  10 

6  07 

6  04 

6  00 

5  57 

5  54 

5  51 

5  47 

5  44 

30 

40 

"^  ^l 

4  u 

4  08 

4  06 

4  04 

4  02 

4  00 

358 

356 

3  54 

3  52 

3  49 

40 

50 

2  06 

2  05 

2  04 

2  03 

2  02 

2  01 

2  00 

I  59 

I  58 

I  57 

I  56 

I  55 

SO 

12 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

b  00 

0  00 

0  00 

12     00 

In  >'orth  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East:  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  Sonth  latitude,  when  the  star  is  rising  or  Ea.st  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  .South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


287 


AZIMUTH  OR  TRUE  BEARING. 


1.ATITUDE  70°. 

DECI.INATION 

—SAME  NAME  AS— I.ATITUDE. 

liATITUDE  70°. 

Hour 

Angle. 

48° 

49° 

50° 

51° 

52° 

63° 

64° 

55° 

56° 

57° 

58° 

59° 

■ 

Hour  Angle. 

li. 

in. 

o  / 

0  t 

0  r 

0  r 

0  / 

0  1 

0  / 

0  r 

0  / 

0  / 

0  / 

Ii,    m. 

O 

OO 

i8o  00 

180  00 

180  00 

180  00 

i8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0    00 

lO 

175  32 

175  25 

175  18 

175  11 

175  02 

174  51 

174  40 

174  28 

174  14 

173  57 

173  38 

173  16 

10 

20 

171  06 

170  53 

170  38 

170  23 

170  05 

169  46 

169  23 

168  59 

168  31 

167  59 

167  21 

16638 

20 

30 

166  41 

166  22 

166  01 

165  37 

165  12 

164  43 

164  11 

163  36 

162  55 

162  08 

161  15 

160  12 

30 

40 

162  21 

161  55 

161  28 

160  57 

160  24 

159  47 

159  05 

158  19 

157  28 

156  28 

155  20 

154  01 

40 

50 

158  04 

157  33 

157  00 

156  23 

155  43 

15458 

154  09 

153  13 

152  II 

151  01 

149  41 

148  08 

50 

1 

OO 

153  52 

153  17 

152  38 

151  56 

151  09 

150  18 

149  21 

148  19 

147  09 

145  49 

144  19 

142  36 

1     00 

lO 

149  47 

149  07 

148  24 

147  36 

146  44 

145  47 

144  45 

143  36 

142  18 

140  52 

139  '-A 

137  24 

10 

20 

145  48 

145  04 

144  16 

143  24 

142  29 

141  27 

140  20 

139  05 

137  42 

136  II 

134  28 

132  32 

20 

30 

141  55 

141  07 

140  17 

139  22 

138  22 

137  i6 

136  05 

134  47 

133  21 

131  43 

129  58 

128  00 

30 

40 

138  08 

137  18 

136  25 

135  27 

134  24 

133  15 

132  02 

130  40 

129  12 

127  33 

125  45 

123  45 

40 

50 

134  30 

133  37 

132  42 

131  41 

130  35 

129  26 

128  10 

126  46 

125  16 

123  37 

121  48 

119  47 

50 

2 

OO 

130  57 

130  03 

129  06 

128  04 

126  56 

125  44 

124  27 

123  03 

121  31 

119  52 

118  03 

116  04 

2     00 

lO 

127  31 

126  36 

125  38 

124  34 

123  26 

122  13 

120  55 

119  30 

117  59 

116  19 

114  31 

H2  34 

10 

20 

124  12 

123  16 

122  16 

121  12 

120  04 

118  51 

117  32 

116  08 

114  37 

112  59 

III  12 

109  17 

20 

30 

120  59 

120  02 

119  02 

117  57 

116  49 

115  36 

114  18 

112  53 

III  23 

109  47 

108  02 

}o6  09 

30 

40 

117  52 

"6  55 

115  54 

114  50 

113  41 

112  29 

III  II 

109  48 

108  19 

106  44 

105  01 

103  II 

40  1 

50 

114  51 

113  54 

112  53 

III  50 

no  41 

109  28 

108  12 

106  50 

105  22 

103  50 

102  09 

100  22 

50 

3 

OO 

III  56 

110  58 

109  58 

108  54 

107  46 

106  35 

105  20 

103  59 

102  33 

loi  02 

99  25 

97  41 

3     00 

lO 

109  05 

108  08 

107  08 

106  05 

104  58 

103  47 

102  33 

loi  14 

99  50 

98  2£ 

96  46 

95  05 

10 

20 

106  19 

105  21 

104  23 

103  20 

102  15 

loi  05 

99  53 

9834 

97  13 

95  46 

94  14 

92  36 

20 

30 

103  37 

102  41 

loi  42 

100  41 

99  36 

98  28 

97  17 

96  01 

94  41 

93  17 

91  46 

90  12 

30 

40 

10059 

100  04 

99  07 

98  07 

97  02 

95  55 

94  46 

93  32 

92  14 

90  52 

8925 

87  53 

40 

50 

98  26 

97  32 

96  35 

95  35 

94  32 

93  28 

92  19 

91  08 

89  51 

88  31 

87  06 

■8538 

50  I 

• 

4 

OO 

95  57 

95  03 

94  07 

93  08 

92  07 

91  04 

89  57 

8847 

87  34 

86  16 

84  54 

83  27 

4     00 

lO 

93  28 

92  36 

91  42 

90  45 

89  45 

88  42 

8737 

86  29 

85  17 

84  01 

82  42 

81  20 

10 

20 

91  05 

90  14 

89  21 

88  24 

87  25 

86  25 

85  21 

84  15 

83  05 

81  52 

80  35 

79  15 

20 

30 

8844 

8754 

87  02 

86  06 

8509 

84  10 

83  09 

82  04 

80  56 

79  45 

78  30 

77  13 

30 

40 

86  26 

8537 

84  46 

8352 

8256 

81  59 

80  59 

79  55 

78  50 

77  41 

76  28 

75  13 

40 

50 

84  II 

83  22 

8233 

81  40 

8045 

79  49 

7851 

77  49 

76  46 

7538 

74  29 

73  17 

50 

5 

00 

81  56 

81  09 

80  21 

79  30 

7836 

77  42 

76  46 

75  45 

74  43 

73  39 

72  31 

71  21 

5     00 

lO 

79  45 

7859 

78  II 

77  21 

76  30 

75  36 

74*41 

73  43 

72  44 

71  41 

70  35 

69  27 

10 

20 

77  36 

76  51 

76  04 

75  16 

74  25 

73  34 

72  40 

71  44 

70  46 

69  45 

68  41 

6736 

20 

30 

75  27 

74  44 

73  58 

73  II 

72  22 

71  31 

70  40 

69  45 

68  48 

67  50 

66  49 

65  45 

30 

40 

73  ^i 

7238 

71  53 

71  07 

70  20 

69  30 

68  40 

67  48 

6653 

65  57 

64  57 

63  55 

40 

50 

71  16 

70  35 

69  52 

69  07 

68  21 

67  33 

6645 

65  53 

65  00 

64  05 

63  07 

62  09 

50 

6 

OO 

69  12 

68  31 

67  50 

67  06 

66  21 

6536 

64  48 

6358 

63  07 

62  13 

61  18 

60  21 

6     00 

lO 

6709 

66  30 

65  49 

6507 

64  24 

63  39 

62  53 

62  05 

61  15 

60  23 

59  29 

58  35 

10 

20 

65  08 

64  30 

63  50 

63  10 

62  27 

61  44 

60  59 

60  13 

59  25 

58  35 

57  44 

56  50 

20 

30 

63  08 

62  31 

61  52 

61  12 

60  31 

59  49 

59  07 

58  21 

57  35 

56  47 

55  57 

55  06 

30 

40 

61  07 

60  32 

59  55 

59  16 

5836 

57  55 

57  14 

56  31 

55  46 

54  59 

54  II 

53  22 

40 

50 

59  09 

5833 

57  58 

57  20 

56  42 

56  03 

55  23 

54  41 

5358 

53  13 

52  26 

51  39 

50 

7 

OO 

57  10 

56  37 

56  02 

55  27 

54  49 

54  II 

53  32 

52  51 

52  09 

51  27 

50  42 

49  56 

7           00 

lO 

55  13 

54  40 

54  06 

53  31 

52  55 

52  20 

51  42 

51  03 

50  22 

49  41 

4858 

48  13 

10 

20 

53  16 

52  45 

52  12 

51  38 

51  04 

50  28 

49  53 

49  15 

4836 

47  56 

47  15 

46  32 

20 

30 

51  19 

50  49 

50  18 

49  45 

49  12 

48  39 

48  03 

47  27 

46  50 

46  II 

45  31 

44  51 

30 

40 

49  24 

48  54 

48  25 

47  53 

47  21 

46  48 

46  15 

45  40 

45  04 

44  27 

43  49 

43  09 

40 

50 

47  28 

46  59 

46  31 

46  01 

45  30 

44  59 

44  27 

43  53 

43  19 

42  43 

42  07 

41  30 

50 

8 

00 

45  33 

45  06 

44  37 

44  08 

43  39 

43  09 

42  38 

42  06 

41  34 

40  59 

40  24 

39  48 

H     00 

lO 

43  37 

43  12 

42  45 

42  17 

41  49 

41  21 

40  51 

40  20 

39  49 

39  16 

38  42 

3809 

10 

20 

41  43 

41  18 

40  53 

40  26 

39  59 

39  32 

39  03 

3834 

38  04 

37  33 

37  01 

36  29 

20 

30 

39  48 

39  24 

39  00 

3835 

3809 

37  43 

37  16 

3648 

36  20 

35  50 

35  19 

34  48 

30 

40 

37  54 

37  32 

37  08 

36  44 

36  19 

3S  54 

35  29 

35  03 

34  35 

34  07 

3338 

33  09 

40 

50 

36  00 

35  59 

35  16 

34  53 

34  30 

34  07 

33  42 

33  17 

32  51 

32  24 

31  57 

31  29 

oO 

9 

OO 

34  05 

33  45 

33  24 

33  03 

32  41 

32  18 

31  55 

31  32 

31  07 

30  42 

30  15 

29  49 

9     00 

lO 

32  12 

31  53 

31  33 

31  12 

30  51 

30  30 

30  09 

29  46 

29  23 

28  59 

2835 

28  10 

10 

20 

30  18 

30  00 

29  41 

29  22 

29  03 

2843 

28  23 

28  02 

27  39 

27  17 

26  54 

26  30 

20 

30 

28  24 

28  08 

27  50 

27  32 

27  13 

26  54 

26  36 

26  16 

25  55 

25  34 

25  13 

24  50 

30 

40 

26  31 

26  15 

25  59 

25  42 

25  24 

25  07 

24  49 

24  31 

24  II 

23  51 

23  32 

23  II 

40 

50 

24  37 

24  22 

24  07 

23  52 

23  35 

23  20 

23  03 

22  46 

22  28 

22  10 

21  51 

21  32 

50 

lO 

OO 

22  44 

22  30 

22  16 

22  02 

21  46 

21  32 

21  17 

21  01 

20  44 

20  27 

20  10 

19  53 

10     00 

lO 

20  50 

20  37 

20  24 

20  II 

1958 

19  44 

19  30 

19  15 

19  01 

18  45 

18  29 

18  13 

10 

20 

1857 

18  45 

1833 

18  21 

18  09 

17  57 

17  44 

17  30 

17  16 

17  03 

16  49 

16  34 

20 

30 

17  03 

16  52 

16  42 

16  31 

16  20 

16  09 

1558 

15  45 

15  33 

15  20 

15  08 

14  54 

30 

40 

15  09 

•15  00 

14  50 

14  41 

14  31 

14  21 

14  11 

14  00 

13  50 

13  39 

13  26 

13  15 

40 

50 

13  16 

13  08 

13  00 

12  51 

12  43 

12  34 

12  25 

12  16 

12  06 

II  56 

II  46 

II  36 

&0 

11 

OO 

11  22 

II  15 

II  08 

II  01 

10  53 

10  46 

10  38 

10  30 

10  22 

10  14 

10  05 

9  57 

11     00 

10 

9  28 

9  22 

9  17 

9  II 

9  04 

859 

852 

8  45 

8  38 

832 

825 

8  17 

10 

20 

7  35 

7  30 

7  25 

7  21 

7  16 

7  10 

7  05 

7  00 

655 

6  49 

6  44 

638 

20 

30 

5  4' 

538 

5  34 

5  31 

5  27 

5  23 

5  19 

5  15 

5  II 

5  07 

5  03 

458 

30 

40 

3  48 

3  45 

3  43 

3  40 

3  37 

3  35 

3  33 

3  30 

3  27 

3  25 

5  22 

3  18 

40 

50 

I  54 

I  53 

I  51 

I  50 

I  4^ 
0  0^ 

1  47 

I  46 

I  45 

I  44 

I  42 

I  41 

I  40 

50 

12 

1 

OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  derlinatlon  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  angle  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


288 


AZIMUTH  OR  TRUE  BEARING. 


LATITUDE  70'. 

DECIvINATION— SAME  NAME  AS— LATITUDE. 

latitude;  70°. 

Hour  Angle. 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

70° 

Hour  Angle. 

li.    in. 

o  / 

0  / 

0  / 

0  / 

0  ' 

0  ; 

0  ' 

0  / 

0  ' 

0  / 

0  r 

li.    ni. 

O     OO 

i8o  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

180  00 

0     CO 

lO 

172  50 

172  17 

171  36 

170  44 

169  36 

168  01 

165  39 

161  51 

154  42 

137  37 

88  49 

10 

20 

165  46 

164  43 

163  26 

161  47 

159  39 

156  44 

152  34 

146  14 

135  48 

117  22 

87  39 

20 

30 

158  57 

157  29 

155  39 

153  23 

150  29 

146  38 

141  23 

133  59 

123  07 

107  18 

86  28 

30 

40 

152  28 

150  37 

148  23 

145  39 

142  14 

137  52 

132  09 

124  34 

114  26 

loi  13 

85  18 

40 

60 

146  21 

144  14 

141  42 

138  40 

134  58 

130  22 

124  35 

117  17 

108  09 

96  57 

84  07 

60 

1     OO 

140  37 

138  19 

135  38 

132.  25 

128  35 

123  57 

118  19 

III  30 

103  17 

93  41 

82  57 

1    00 

lO 

135  18 

132  52 

130  05 

126  48 

122  58 

118  25 

113  03 

106  46 

99  23 

91  00 

81  46 

10 

20 

130  21 

127  53 

125  03 

121  46 

117  59 

113  37 

108  34 

102  44 

96  06 

88  40 

8035 

20 

30 

125  46 

123  17 

I20  27 

117  14 

113  34 

109  24 

104  38 

99  16 

93  15 

86  34 

79  24 

30 

40 

121  32 

119  02 

116  14 

113  07 

109  35 

105  38 

loi  09 

96  II 

90  41 

84  41 

78  14 

40 

50 

"7  35 

115  08 

112  24 

log  22 

105  59 

102  14 

98  04 

93  28 

88  24 

82  54 

77  03 

50 

2     OO 

113  53 

III  28 

108  50 

105  54 

102  41 

9908 

95  12 

90  55 

86  15 

81  n 

75  52 

2     00 

lO 

no  26 

108  05 

105  31 

102  44 

99  39 

96  17 

92  35 

88  35 

84  15 

7936 

74  41 

10 

20 

107  12 

104  55 

102  27 

99  45 

96  49 

9338 

90  10 

86  25 

82  23 

78  03 

73  29 

20 

30 

104  07' 

1 01  55 

99  32 

96  57 

94  10 

91  08 

87  52 

84  21 

8035 

76  35 

72  18 

30 

40 

lOI  12 

99  05 

96  48 

94  20 

91  39 

8847 

8541 

82  23 

78  SI 

75  05 

71  06 

40 

60 

98  27 

96  25 

94  12 

91  49 

89  17 

8633 

8338 

80  30 

77  10 

73  39 

69  55 

50 

3     OO 

95  49 

93  51 

91  44 

89  27 

87  01 

84  ?6 

81  40 

78  42 

75  33 

72  14 

6843 

3     00 

lO 

93  18 

91  23 

89  21 

87  10 
84  59 

84  51 

82  22 

79  44 

76  57 

73  59 

70  49 

67  31 

10 

20 

90  51 

89  02 

87  04 

82  46 

80  24 

77  54 

75  14 

72  26 

69  28 

66  20 

20 

30 

88  32 

8645 

84  52 

82  52 

8045 

78  30 

76  07 

73  35 

70  54 

68  06 

65  07 

30 

40 

86  16. 

84  33 

82  44 

80  49 

78  48 

76  39 

74  22 

71  58 

69  25 

66  44 

63  55 

40 

50 

84  04 

82  26 

80  41 

7851 

76  54 

74  50 

72  39 

70  22 

6756 

65  23 

62  43 

50 

4     OO 

81  57 

80  22 

78  41 

7655 

75  03 

73  05 

71  00 

68  48 

66  29 

64  03 

61  31 

4     00 

lO 

79  52 

78  20 

76  43 

75  01. 

73  14 

71  20 

69  21 

67  16 

65  02 

62  43 

60  18 

10 

20 

77  50 

76  21 

74  48 

73  10 

71  27 

6939 

67  44 

65  44 

63  37 

61  24 

59  05 

20 

30 

75  51 

74  26 

72  56 

71  22 

69  42 

6758 

66  08 

64  13 

62  12 

60  05 

57  52 

30 

40 

73  55 

72  32 

71  cj6 

69  35 

68  00 

66  20 

64  34 

62  44 

60  48 

58  46 

56  39 

40 

50 

72  01 

70  41 

69  17 

67  50 

66  18 

64  42 

63  01 

61  16 

59  24 

57  27 

55  25 

50 

5     OO 

70  08 

68  51 

67  30 

66  06 

6438 

.63  05 

61  28 

59  47 
58  20 

58  00 

56  09 

54  12 

5     00 

lO 

68  17 

67  03 

65  45 

64  23 

62  58 

61  30 

59  57 

56  37 

54  50 

52  58 

10 

20 

66  27 

65  15 

64  01 

62  42 

61  21 

59  56 

58  26 

56  53 

55  14 

53  31 

51  44 

20 

30 

64  39 

63  30 

62  18 

61  02 

59  44 

58  22 

5656 

55  26 

53  52 

52  13 

50  30 

30 

40 

6i   52 

61  45 

6036 

59  23 

58  08 

5648 

55  25 

53  59 

52  29 

50  54 

49  15 

40 

50 

61  07 

60  03 

5855 

57  45 

56  33 

55  17 

53  57 

52  34 

51  07 

49  36 

48  02 

50 

6     OO 

59  21 

58  20 

57  15 

5607 

54  57 

53  44 

52  27 

51  08. 

49  44 

48  18 

46  47 

6     00 

lO 

57  37 

56  37 

55  35 

54  30 

53  23 

52  13 

50  59 

49  43 

48  23 

46  59 

45  32 

10 

20 

55  54 

54  57 

53  57 

52  55 

51  50 

50  43 

49  32 

48  18 

47  01 

45  40 

44  16 

20 

30 

54  12 

53  17 

52  19 

51  19 

50  17 

49  12 

48  03 

46  53 

45  39 

44  21 

43  01 

30 

40 

52  30 

51  37 

5041 

49  43 

48  44 

47  41 

46  36 

45  28 

44  16 

43  02 

41  45 

40 

50 

50  49 

.  49  58 

49  04 

48  08 

47  II 

46  11 

45  09 

44  03 

42  55 

41  44 

40  29 

50 

7           OO 

49  09 

47  28 

48  19 

47  28 

46  34 

45  39 

44  41 

43  40 

42  38 

41  33 

40  25 

39  13 

7     00 

lO 

46  41 

45  51 

45  00 

44  07 

43  11 

42  13 

41  14 

40  II 

39  05 

37.57 

10 

20 

45  48 

45  03 

44  15 

43  26 

42  34 

41  42 

40  46 

39  49 

38  49 

37  46 

36  41 

20 

30 

44  08 

43  25 

42  39 

41  52 

4£  03 

40  12 

39  19 

38  25 

3727 

36  26 

35  24 

30 

40 

42  29 

41  47 

41  04 

40  18 

39  32 

38  43 

37  52 

37  00 

36  05 

35  08 

34  07 

40 

50 

40  50 

40  10 

39  29 

38  46 

38  01 

37  14 

36  25 

35  35 

34  43 

3348 

32  51 

50 

8     OO 

39  II 

3833 

37  53 

37  12 

36  29 

35  45 

34  58 

34  11 

33  20 

32  27 

31  33 

8     00 

10 

37  32 

36  57 

36  19 

35  39 

34  58 

34  16 

33  32 

32  46 

31  58 

31  08 

30  16 

10 

20 

35  55 

35  19 

34  43 

34  05 

33  26 

32  47 

32  05 

31  21 

30  35 

29  48 

28  58 

20 

30 

34  15 

33  43 

33  08 

32  33 

31  56 

31  17 

30  37 

2956 

29  13 

28  27 

27  41 

30 

40 

32  38 

32  07 

31  33 

30  59 

30  24 

29  49 

29  10 

28  31 

27  50 

27  07 

26  23 

40 

60 

31  00 

30  31 

29  59 

29.27 

28  53 

28  19 

27  43 

27  06 

26  28 

25  47 

25  05 

50 

9     OO 

29  22 

28  54 

28  24 

27  54 

27  23 

26  50 

26  15 

25  41 

25  04 

24  27 

23  47 

9     00 

10 

27  43 

27  17 

26  49 

26  20 

25  51 

25  20 

24  48 

24  16 

23  41 

23  05 

22  28 

10 

20 

26  06 

25  41 

25  15 

24  48 

,24  21 

23  52 

23  22 

22  51 

22  19 

21  45 

21  10 

20 

30 

24  28 

24  04 

23  40 

23  16 

22  49 

22  23 

21  55 

21  25 

20  5b 

20  24 

19  51 

30 

40 

22  50 

22  28 

22  06 

21  42 

21  18 

20  53 

20  27 

20  00 

19  32 

19  03 

18  32 

40 

50 

21  12 

20  52 

20  31 

20  09 

19  47 

19  24 

1859 

18  35 

18  09 

17  42 

17  13 

60 

lO     OO 

19  35 

19  16 

18  57 

18  37 

18  16 

17  55 

17  33 

17  10 

16  46 

16  21 

15  55 

10     00 

lO 

17  56 

17  40 

17  22 

17  04 

16  45 

16  25 

16  04 

15  44 

15  22 

14  59 

14  35 

10 

20 

16  19 

16  04 

15  48 

15  31 

15  14 

14  56 

14  37 

14  18 

1358 

13  38 

13  16 

20 
30 
40 

30 

14  41 

14  27 

14  12 

13  58 

13  42 

13  26 

13  ID 

12  53 

12  34 

12  16 

II  57 

40 

13  03 

12  51 

12  38 

12  25 

12  II 

11  57 

II  42 

II  27 

11  10 

10  54 

10  37 

50 

n  25 

II  14 

11  03 

10  52 

10  40 

10  27 

10  14 

10  01 

9  48 

9  33 

9  18 

50 

11     OO 

948 

9  39 

9  29 

9  18 

9  09 

8  58 

8  46 

835 

823 

8  II 

758 

11     00 

lO 

8  10 

8  01 

7  54 

7  46 

7  37 

728 

7  19 

7  10 

6  59 

6  49 

6  39 

10 

20 

632 

6  26 

6  19 

6  12 

6  06 

558 

5  51 

5  43 

536 

528 

5  19 

20 
30 
40 

30 

4  54 

4  49 

4  45 

4  40 

4  34 

4  29 

4  23 

4  18 

4  12 

4  06 

3  59 

40 

3  16 

3  12 

3  10 

3  06 

3  03 

2  59 

2  56 

2  52 

2  48 

2  44 

2  40 

50 

1  37 

I  36 

I  35 

1  33 

I  31 

1  30 

I  « 

I  26 

I  24 

I  22 

I  20 

50 

12     OO 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

0  00 

12     00 

In  North  latitude,  when  the  star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  North  to  West. 

In  South  latitude,  when  the  .star  is  rising  or  East  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  East;  and 
when  the  star  is  setting  or  West  of  the  meridian,  the  tabulated  azimuths  are  reckoned  from  South  to  West. 

When  the  latitude  and  declination  are  of  different  name,  the  tables  are  to  be  entered  with  the  supplement  of  the  hour  anele  and  the 
supplement  of  the  tabulated  azimuth  is  to  be  taken  for  the  required  true  bearing. 


o 


A 


UNIVERSITY  OF  CALIFORNIA  LIBRARY 
BERKELEY 

Return  to  desk  from  which  borrowed. 
This  book  is  DUE  on  the  last  date  stamped  below. 


ASTfjeCNQMY   LIB 


•ARY 


LD  21-100m-ll,'49(B7146sl6)476 


YE  17553 


UNIVERSITY  OF  CAUFORNIA  UBRARY 


